<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-19-8967-2019</article-id><title-group><article-title>Trends in <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions in archived air samples from
Cape Meares, Oregon (USA), 1978–1996</article-title><alt-title>Trends in <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions</alt-title>
      </title-group><?xmltex \runningtitle{Trends in {$\chem{N_{{2}}O}$} and {$\chem{SF_{6}}$} mole fractions}?><?xmltex \runningauthor{T.~C.~Rolfe and A.~L.~Rice}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Rolfe</surname><given-names>Terry C.</given-names></name>
          <email>trolfe@pdx.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Rice</surname><given-names>Andrew L.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Department of Physics, Portland State University, Portland, 97201,
USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Terry C. Rolfe (trolfe@pdx.edu)</corresp></author-notes><pub-date><day>16</day><month>July</month><year>2019</year></pub-date>
      
      <volume>19</volume>
      <issue>13</issue>
      <fpage>8967</fpage><lpage>8977</lpage>
      <history>
        <date date-type="received"><day>2</day><month>February</month><year>2019</year></date>
           <date date-type="rev-request"><day>27</day><month>February</month><year>2019</year></date>
           <date date-type="rev-recd"><day>22</day><month>May</month><year>2019</year></date>
           <date date-type="accepted"><day>11</day><month>June</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 </copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e134">Quantifying historical trends in atmospheric greenhouse
gases (GHGs) is important to understanding changes in their budgets and for
climate modeling, which simulates historic and projects future climate.
Archived samples analyzed using updated measurement techniques and
calibration scales can reduce uncertainties in historic records of GHG mole
fractions and their trends in time. Here, we present historical measurements
of two important GHGs, nitrous oxide (<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) and sulfur hexafluoride
(<inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), collected at the midlatitude Northern Hemisphere station Cape
Meares, Oregon (USA, 45.5<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 124<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), between 1978 and
1996 in archived air samples from the Oregon Health and Science University
– Portland State University (OHSU–PSU) air archive. <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is the third
most important anthropogenically forced GHG behind carbon dioxide (<inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
and methane (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a low abundance in the atmosphere, but
is one of the most powerful GHGs known. Measurements of atmospheric <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
made during this period are available for select locations, but before
mid-1990 they have larger uncertainties than more recent periods due to
advancements made in gas chromatography (GC) methods. Few atmospheric
<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements exist pre-1990, particularly in the Northern
Hemisphere. The GC system used to measure <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratios in this work is designed to be fully automated, and is capable of running up
to 15 samples per batch. Measurement precision (1<inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 0.16 % and 1.1 %, respectively (evaluated at 328.7 ppb and
8.8 ppt). Samples were corrected for detector response nonlinearity when
measured against our reference standard, with the corrections determined to be 0.14 ppb ppb<inline-formula><mml:math id="M20" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and 0.03 ppt ppt<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The mixing ratio
of <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in archived samples is found to be <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mn mathvariant="normal">301.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb in 1980
and rises to <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mn mathvariant="normal">313.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb in 1996. The average growth rate over
this period is <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI). The seasonal
amplitude is statistically robust, with a maximum anomaly of 0.3 ppb near
April and a minimum near November of <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb. Measurements of <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
match well with previously reported values for Cape Meares and other
comparable locations. The mixing ratio of <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in analyzed samples is
found to be <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt in 1980 and rises to <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt
in 1996. The average growth rate over this period is <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI). The seasonality is statistically robust and has an annual
peak amplitude of 0.04 ppt near January and a minimum amplitude of <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt
near July. These are unique <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> results from this site and represent a
significant increase in the <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data available during the 1980s and early
1990s. The mixing ratio and growth rate of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured compares well
to other Northern Hemisphere measurements over this period. From these
<inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements, we conclude that sample
integrity is generally robust in the OHSU-PSU air archive for <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e601">Anthropogenic sources of greenhouse gases (GHGs) have altered the atmospheric
composition, resulting in a significant climate forcing of approximately 3 W m<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> since 1750 (Myhre et al., 2013). Measurements of GHG mixing ratios since the
industrial revolution constrain global budget uncertainties and interpret
recent changes to source and sink processes (Prinn et al., 2000; Khalil et al., 2002; Saikawa et al., 2014). When projecting future GHG mixing ratios,
many additional factors must be included in models such as climate feedback
effects and possible changes in transport processes. Uncertainties in model
predictions can be minimized if GHG<?pagebreak page8968?> measurements are precise and span many
different latitudes (Meinshausen et al., 2017).</p>
      <p id="d1e616">When historical time series records are not available, past atmospheric GHG
abundance can be evaluated using either archived air samples or by analyzing
ice core and firn air. One significant advantage of using ice core and firn
air for measuring past atmospheric mixing ratios of GHGs is that samples may
be collected today that represent past conditions. However, ice core and
firn samples are difficult to obtain due to the remoteness of the locations
where the samples are collected (Greenland and Antarctica) and provide
limited spatial information. Temporal uncertainties must also be evaluated
when measuring ice core and firn samples due to diffusion and gravitational
separation (Ishijima et al., 2007); samples are best represented by a mean
age, limiting temporal resolution. By contrast, archived air samples are
discrete in time and space, making them very valuable for evaluating past
atmospheric abundance at specific periods in time. However, few air archives
are available today. The most well-known air archive is that of Cape Grim,
Tasmania (41<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 145<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), in the Southern Hemisphere, which
contains samples dating back to 1978 (Vollmer et al., 2018). However,
archive samples may contain storage artefacts that can contaminate
historical records and must be stored carefully to prevent damage or loss.</p>
      <p id="d1e637">Nitrous oxide (<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) is the third most important GHG with anthropogenic
sources after carbon dioxide (<inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and methane (<inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The global
mean mixing ratio of <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in 2017 was 329.8 ppb with a mean annual trend
of 0.85 ppb yr<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the last 20 years (Dlugokencky et al., 2018). <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> has a large global warming potential (GWP), 298 times that of
<inline-formula><mml:math id="M53" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over a 100-year period and a global radiative forcing estimated at
0.19 W m<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> since 1750 (Myhre et al., 2013). The long lifetime of this species
(<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> years) results in most emitted <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reaching the
stratosphere, where photooxidation is the primary source of stratospheric
<inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (“active nitrogen”). <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the main natural catalyst of ozone
(<inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) destruction (Crutzen, 1970).</p>
      <p id="d1e794">Anthropogenic sources of <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> account for roughly 40 % of all <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
emissions, with natural sources accounting for the other 60 % (Ciais et
al., 2013). Bottom-up calculations estimate anthropogenic production of 6.9
(2.7–11.1) TgN yr<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and natural production of 11 (5.4–19.6) TgN yr<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The uncertainty in these estimations is large, with 1<inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>
error nearly <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %. Together with atmospheric measurements,
top-down modeling better constrains the <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> budget and reduces
uncertainty in the global source. Sources of <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> calculated this way
estimate anthropogenic and natural source production of 6.5 (5.2–7.8) TgN yr<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and 9.1 (8.1–10.1) TgN yr<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively (Prather et al.,
2012).</p>
      <p id="d1e916">There are three major natural sources and six major anthropogenic sources of
<inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. Natural sources of <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are natural soils (3.3–9.0 TgN yr<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), oceans (1.8–9.4 TgN yr<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and atmospheric chemistry
(0.3–1.2 TgN yr<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (note: sources include the minimum and maximum
estimates provided from bottom-up calculations in Ciais et al., 2013). By
far, the largest anthropogenic source is agriculture, which produces 1.7–4.8 TgN yr<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, followed by industrial and fossil fuel sources (0.2–1.8 TgN yr<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), biomass burning (0.2–1 TgN yr<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), rivers and estuaries
(0.1–2.9 TgN yr<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), atmospheric deposition (0.4–1.3 TgN yr<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and
human excreta (0.1–0.3 TgN yr<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) (Ciais et al., 2013). More constraints
on source production provided via atmospheric measurements are needed to
improve estimates of individual source magnitudes.</p>
      <p id="d1e1054">The main loss mechanism for <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is destruction in the stratosphere
through photolysis and the reaction with O(<inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) (Prather et al., 2015).
Soils and the oceans can act as sinks for <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> through microbial
processes; however, because the production of <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is greater than what
is consumed, the global net flux is positive. Estimates of the stratospheric
sink account for 11.9 (11.0–12.8) TgN yr<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Ciais et al., 2013).</p>
      <p id="d1e1120">Rising global mixing ratios of <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are due to the imbalance between the
sources and the sinks. Based on a top-down constraint, the imbalance between
sources and sinks is 3.6 (3.5–3.8) TgN yr<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Ciais et al., 2013).</p>
      <p id="d1e1148">Models have shown that future climate conditions will likely amplify
<inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> production via positive climate feedback effects, meaning a
linear increase in time may underpredict future mixing ratios based on the
current rate of change (Khalil and Rasmussen 1983; Stocker et al., 2013). To
minimize uncertainty in the <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> budget and in model projections,
precise measurements of current and past atmospheric conditions from
multiple global locations are needed. Measurements of atmospheric <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
made prior to mid-1990 have larger uncertainties than more recent periods
due to advancements made in gas chromatography (GC) methods (Prinn et al., 2000; Jiang et al., 2007; Hall et al., 2011). To reduce uncertainty during
this period, archived samples may be analyzed using updated measurement
techniques. Additionally, measurements of the isotopic composition of
<inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in archived samples can constrain the <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> budget and changes
in time due to characteristic isotopic effects in sources and sinks (Park et al., 2012; Snider et al., 2015).</p>
      <p id="d1e1216">Sulfur hexafluoride (<inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is an extremely potent GHG. Recent
estimates calculated the GWP to be 22 800 (over 100 years compared to <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
and an atmospheric lifetime of 580–1475 years (Kovács et al., 2017; Ray
et al., 2017). While <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is one of the strongest GHGs controlled under
emission regulations, it has a low global mixing ratio (9.3 ppt in the
Northern Hemisphere in 2017), so it does not add significantly to climate
forcing by itself (Prinn et al., 2018).</p>
      <p id="d1e1252">Sources of <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are anthropogenic, with main uses being high-voltage
insulation, magnesium production, and semiconductor manufacture (Maiss and
Brenninkmeijer 1998; Olivier et al., 2005). Global production in 2008 was
estimated to be 7.16 Gg yr<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Levin et al., 2010). With a very low
solubility and no reactivity in the lower atmosphere, the only known sink
for <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is loss in the mesosphere.</p>
      <?pagebreak page8969?><p id="d1e1290">With almost all of the <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> that has been emitted since the industrial
revolution to the atmosphere still present, global emissions can be
accurately determined from observations of the atmospheric mixing ratio. Due to
its long lifetime and anthropogenic origins, <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is used as a validity
check for atmospheric transport models (Levin and Hesshaimer, 1996; Patra et
al., 2009). It has been estimated that 94 % of all <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
originate in the Northern Hemisphere (Maiss et al., 1996), explaining a
north–south hemispheric gradient in the <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio of about 0.4 ppt
(Levin et al., 2010).</p>
      <p id="d1e1337">Observations of the growth rate have been reported by several studies (Levin
et al., 2010; Rigby et al., 2010; Hall et al., 2011). The trend in <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has
varied over the last 30+ years and while the magnitude of the growth rate
differs slightly between sample locations, several features are prominent.
From the early 1970s to the mid-1990s, the trend steadily increased from 0.1 ppt yr<inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and peaked near 0.26 ppt yr<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The trend then slowly
declined to <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> until the early 2000s, when
the trend increased again. The inferred global emission of <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the
trend increases nearly linearly from 2 Gg yr<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the late 1970s to
over 6 Gg yr<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 1994–1995 (Levin et al., 2010; Rigby et al., 2010).</p>
      <p id="d1e1433">Reported atmospheric measurements of <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> before the year 1987 are few.
In the Southern Hemisphere, Cape Grim, Tasmania (41<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S,
145<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), archive measurements date back to 1978 (Levin et al., 2010). Northern Hemisphere measurements are reported dating from 1973 from
Trinidad Head, CA (41<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 121<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), but few are prior to
1990 (Rigby et al., 2010). A more complete record of past <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
atmospheric mixing ratios is desirable.</p>
      <p id="d1e1495">The Oregon Health and Science University–Portland State University
(OHSU-PSU) air archive includes archived air samples collected from Cape
Meares, Oregon (45.5<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 124.0<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), in the late 1970s,
1980s, and 1990s by the Department of Environmental and Bimolecular Systems,
Oregon Graduate Institute of Science and Engineering (currently OHSU). The
samples were collected by air liquefaction, where <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> L
(STP) of dried air (using a condenser) was compressed to 3000 kPa into 33 L
electropolished stainless steel canisters. Today, archive samples are stored
at Portland State University and contain pressures ranging from 60 to 2000 kPa
(Rice et al., 2016). Here, we present details of the analytical technique
employed and results from the analysis of 159 Cape Meares air samples from
the OHSU-PSU air archive.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1528">Schematic view of the analytical system for sample
evaluation. The system is shown in “back-flush” mode. <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents Valve 1, <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents Valve 2, and <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> represents Valve 3.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Gas chromatography analytical system</title>
      <p id="d1e1585">The gas chromatography (GC) analytical system (Fig. 1) employed at Portland
State University for measuring <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in archived air samples
is based on the configuration used by Hall et al. (2007) and references
therein. We use an Agilent 6890N gas chromatograph fitted with a
micro-electron capture detector (<inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD, Agilent Technologies, Santa
Clara, CA). Two Poropak Q 80/100 mesh columns (1.8 m <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 mm i.d. pre-column, 3.7 <inline-formula><mml:math id="M127" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 mm i.d. analytical column) achieve peak
separation. The carrier gas is P5 (99.999 %, Airgas, Portland, OR)
equipped with <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and hydrocarbon traps (Restek, Bellefonte, PA) to
further reduce impurities and to significantly improve baseline signal stability. Two 6-port switching valves (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), a
4-port switching valve (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and a 16-port multi-position valve
(Valvo Instrument Company Inc., Houston, TX) are controlled by
Chemstation (V1.A, Agilent Technologies Inc., Santa Clara, CA).</p>
      <p id="d1e1679">A sample run begins in “back-flush” mode, with the carrier gas flushing the
pre-column in the reverse analytical direction to remove the buildup of
water on the analytical column that would otherwise eventually elute to the
<inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD and affect signal baseline. A 16-port multi-position valve is used
to introduce pressurized samples into the system; a two-way electric valve
(Clippard, Cincinnati, OH) is used to stop sample flow to the
sample loop and prevent sample loss. Samples initially pass through a
desiccant trap (Perma Pure, Toms River, NJ), before flushing a 10 mL sample
loop at 60 mL min<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for 1.5 min. At this time, <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rotates,
which places the system in “front-cut” mode and allows the sample loop to
equilibrate. <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rotates at 1.75 min and allows the carrier gas to
carry the sample <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the pre-column where separation
from <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and H<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O occurs. After <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> elutes through the
pre-column to vent, at 3 min <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rotates and places the pre-column
in line with the analytical column, transferring <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to
the analytical column. At 4.25 min, the sample has reached the
analytical column and <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> rotate. This begins the
back-flush of the pre-column while the analytes are carried to the <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD
on the analytical column.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1859">Sample chromatogram showing <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> peak at a
retention time of 6.1 min and the <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak at a retention time of 7.0 min. The inlay in the upper-right corner shows an enlarged plot of the <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
peak.</p></caption>
          <?xmltex \igopts{width=170.716535pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f02.png"/>

        </fig>

      <?pagebreak page8970?><p id="d1e1904">Oven and detector temperatures are maintained at 56 and
310 <inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Carrier gas flow rates are 40 mL min<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and are maintained by the electronic pressure control of the 6890N. The <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> peak
retention time is 6.1 min and the <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> peak retention time is 7.0 min (Fig. 2). Peak integration is accomplished via Chemstation based on
peak height.</p>
      <p id="d1e1952">All measurements of <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are made relative to a calibrated
whole air sample on the NOAA-06A <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> scale and NOAA-14 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale
(NOAA Tank CB11406-A, <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">328.71</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> ppb <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.76</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn></mml:mrow></mml:math></inline-formula> ppt
<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), hereafter referred to as the NOAA reference gas. Each sample is
analyzed six times and bracketed by six reference gas runs used to measure
instrument response and track signal drift. The GC-<inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD analytical
system was evaluated for precision, reproducibility, and linearity prior to
its application to measure mole fractions in historic archive samples.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Precision and reproducibility of analytical system</title>
      <p id="d1e2068">Precision of measurement was determined by repeated analysis of the
reference standard. Histogram distributions in Fig. 3 show 180 residuals
(expressed as a percent relative standard deviation) collected from 30 sets
of 6 measurements of <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 3a) and <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 3b) of the NOAA
reference gas. Both <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> compare well to a normal
distribution (black dashed lines), with chi-square goodness of fit <inline-formula><mml:math id="M168" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values
of 0.16 and 0.35, respectively. For <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, 1<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula> % whereas
for <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, 1<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> %. This corresponds to an uncertainty of
<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.52</mml:mn></mml:mrow></mml:math></inline-formula> ppb for <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.10</mml:mn></mml:mrow></mml:math></inline-formula> ppt for <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The mean measurement uncertainty (1<inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of OHSU-PSU air archive samples for
<inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is 0.23 %. The mean measurement uncertainty (1<inline-formula><mml:math id="M179" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) of <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
in the OHSU-PSU air archive samples ranges between 6.5 % for samples below
1 ppt and 2.5 % for samples at 4 ppt.</p>
      <p id="d1e2258">Measurement reproducibility was evaluated by repeatedly measuring a dry air
sample (Breathing Air, Airgas, Portland, OR) against the NOAA reference gas
and evaluating consistency from the standard deviation of the results. The
sample was measured 18 times over 2 weeks with mean measured mixing ratios
of <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 390.9 ppb and 13.2 ppt, respectively. The
standard deviations in <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements are 0.46 ppb and
0.11 ppt, respectively, which are indistinguishable from 1<inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> precision
for a set of six NOAA reference gas measurements.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2318">Measurement precision for <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
<bold>(b)</bold> expressed as percent relative standard deviation from 30 sets of 6
measurements of the NOAA reference gas. The black dotted line represents a
normal distribution curve with the same mean and standard deviation. The
standard deviation for <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 0.16 % and 1.1 %,
respectively.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{Linearity of the GC-$\mu$ECD system}?><title>Linearity of the GC-<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD system</title>
      <p id="d1e2408">To ensure accurate results for this work, the detector response was
evaluated over the mole fraction range expected for <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
the OHSU-PSU air archive. The range in the Northern Hemisphere <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mole
fraction between 1978 and 1996 is between 295 and 314 ppb (Prinn et al., 2000; Ciais et al., 2013). Archived air sample measurements of the Northern
Hemisphere <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction from Trinidad Head, CA, measure below 1 ppt
in the 1970s and rise to nearly 4 ppt in 1997; Southern Hemisphere
measurements from Cape Grim, Tasmania, and the South Pole show a similar
range (Levin et al., 2010; Rigby et al., 2010).</p>
      <p id="d1e2459">A series of manometric dilutions were prepared from the NOAA reference gas
at Portland State University to evaluate the <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD response over the
historical <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction sample range. To characterize
the <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response, the <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reference gas was diluted with
ultrapure air (zero grade, Airgas, Portland, OR; <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at
mixing ratios below detection limits) using capacitance manometers (MKS
Instruments, Andover, MA; range 0–10 and 0–1000 torr) into 3 L
electropolished stainless steel canisters (precision <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> %). The
range of <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios produced in the 3 L canisters was 32.2–321.4 ppb. The error introduced from the manometric process is small when compared
with measurement uncertainty (maximum 1<inline-formula><mml:math id="M205" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> error of <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula> ppb for
<inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2603">Characteristics of 12 manometric <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> dilution samples
prepared at Portland State University.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Canister</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi><mml:mtext>a</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Total</mml:mi><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Expected<inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Measured<inline-formula><mml:math id="M226" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Measured<inline-formula><mml:math id="M227" display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> 1<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>f</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">(kPa)</oasis:entry>
         <oasis:entry colname="col3">(kPa)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (ppb)</oasis:entry>
         <oasis:entry colname="col7">(ppb)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1.7</oasis:entry>
         <oasis:entry colname="col2">97.0</oasis:entry>
         <oasis:entry colname="col3">132.4</oasis:entry>
         <oasis:entry colname="col4">0.7327</oasis:entry>
         <oasis:entry colname="col5">0.7673</oasis:entry>
         <oasis:entry colname="col6">252.21</oasis:entry>
         <oasis:entry colname="col7">0.78</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.14</oasis:entry>
         <oasis:entry colname="col2">36.6</oasis:entry>
         <oasis:entry colname="col3">132.2</oasis:entry>
         <oasis:entry colname="col4">0.2767</oasis:entry>
         <oasis:entry colname="col5">0.3262</oasis:entry>
         <oasis:entry colname="col6">107.22</oasis:entry>
         <oasis:entry colname="col7">0.45</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.5</oasis:entry>
         <oasis:entry colname="col2">61.5</oasis:entry>
         <oasis:entry colname="col3">132.9</oasis:entry>
         <oasis:entry colname="col4">0.4627</oasis:entry>
         <oasis:entry colname="col5">0.5157</oasis:entry>
         <oasis:entry colname="col6">169.52</oasis:entry>
         <oasis:entry colname="col7">0.51</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.14</oasis:entry>
         <oasis:entry colname="col2">21.0</oasis:entry>
         <oasis:entry colname="col3">132.6</oasis:entry>
         <oasis:entry colname="col4">0.1585</oasis:entry>
         <oasis:entry colname="col5">0.1941</oasis:entry>
         <oasis:entry colname="col6">63.79</oasis:entry>
         <oasis:entry colname="col7">0.27</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.7</oasis:entry>
         <oasis:entry colname="col2">13.0</oasis:entry>
         <oasis:entry colname="col3">132.5</oasis:entry>
         <oasis:entry colname="col4">0.0978</oasis:entry>
         <oasis:entry colname="col5">0.1239</oasis:entry>
         <oasis:entry colname="col6">40.73</oasis:entry>
         <oasis:entry colname="col7">0.44</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.5</oasis:entry>
         <oasis:entry colname="col2">80.5</oasis:entry>
         <oasis:entry colname="col3">132.2</oasis:entry>
         <oasis:entry colname="col4">0.6092</oasis:entry>
         <oasis:entry colname="col5">0.6535</oasis:entry>
         <oasis:entry colname="col6">214.80</oasis:entry>
         <oasis:entry colname="col7">0.52</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.7</oasis:entry>
         <oasis:entry colname="col2">127.0</oasis:entry>
         <oasis:entry colname="col3">132.8</oasis:entry>
         <oasis:entry colname="col4">0.9559</oasis:entry>
         <oasis:entry colname="col5">0.9618</oasis:entry>
         <oasis:entry colname="col6">316.15</oasis:entry>
         <oasis:entry colname="col7">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.5</oasis:entry>
         <oasis:entry colname="col2">117.0</oasis:entry>
         <oasis:entry colname="col3">132.8</oasis:entry>
         <oasis:entry colname="col4">0.8813</oasis:entry>
         <oasis:entry colname="col5">0.8981</oasis:entry>
         <oasis:entry colname="col6">295.20</oasis:entry>
         <oasis:entry colname="col7">0.87</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.14</oasis:entry>
         <oasis:entry colname="col2">123.8</oasis:entry>
         <oasis:entry colname="col3">132.7</oasis:entry>
         <oasis:entry colname="col4">0.9326</oasis:entry>
         <oasis:entry colname="col5">0.9423</oasis:entry>
         <oasis:entry colname="col6">309.75</oasis:entry>
         <oasis:entry colname="col7">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.5</oasis:entry>
         <oasis:entry colname="col2">129.7</oasis:entry>
         <oasis:entry colname="col3">132.7</oasis:entry>
         <oasis:entry colname="col4">0.9778</oasis:entry>
         <oasis:entry colname="col5">0.9813</oasis:entry>
         <oasis:entry colname="col6">322.56</oasis:entry>
         <oasis:entry colname="col7">0.96</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.14</oasis:entry>
         <oasis:entry colname="col2">119.1</oasis:entry>
         <oasis:entry colname="col3">132.9</oasis:entry>
         <oasis:entry colname="col4">0.8959</oasis:entry>
         <oasis:entry colname="col5">0.9085</oasis:entry>
         <oasis:entry colname="col6">298.62</oasis:entry>
         <oasis:entry colname="col7">0.71</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4.7</oasis:entry>
         <oasis:entry colname="col2">120.9</oasis:entry>
         <oasis:entry colname="col3">132.5</oasis:entry>
         <oasis:entry colname="col4">0.9129</oasis:entry>
         <oasis:entry colname="col5">0.9226</oasis:entry>
         <oasis:entry colname="col6">303.26</oasis:entry>
         <oasis:entry colname="col7">0.80</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2619"><inline-formula><mml:math id="M209" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the NOAA reference gas pressure (in kPa) introduced
to the canister. <inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the final pressure (in kPa) of the canister after
balancing with ultrapure air. <inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Expected response is calculated from the <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Final</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
fraction. <inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> Measured <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response of the <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD. <inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula> Measured <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in parts per billion ( ppb). <inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mtext>f</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> 1<inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> (ppb) is from the combined uncertainty of the sample
and the surrounding NOAA reference.</p></table-wrap-foot></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e3256">Characteristics of nine manometric <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dilution samples
prepared at Portland State University.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Canister</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi><mml:mtext>a</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Scotty</mml:mi><mml:mtext>b</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msubsup><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Total</mml:mi><mml:mtext>c</mml:mtext></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Expected<inline-formula><mml:math id="M255" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">Measured<inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Measured<inline-formula><mml:math id="M257" display="inline"><mml:msup><mml:mi/><mml:mtext>f</mml:mtext></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> 1<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">σ</mml:mi><mml:mtext>g</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ID</oasis:entry>
         <oasis:entry colname="col2">(kPa)</oasis:entry>
         <oasis:entry colname="col3">(kPa)</oasis:entry>
         <oasis:entry colname="col4">(kPa)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M262" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (ppt)</oasis:entry>
         <oasis:entry colname="col8">(ppt)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1.14</oasis:entry>
         <oasis:entry colname="col2">97.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">132.4</oasis:entry>
         <oasis:entry colname="col5">0.7327</oasis:entry>
         <oasis:entry colname="col6">0.7476</oasis:entry>
         <oasis:entry colname="col7">6.55</oasis:entry>
         <oasis:entry colname="col8">0.12</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.5</oasis:entry>
         <oasis:entry colname="col2">117.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">132.8</oasis:entry>
         <oasis:entry colname="col5">0.8812</oasis:entry>
         <oasis:entry colname="col6">0.8943</oasis:entry>
         <oasis:entry colname="col7">7.83</oasis:entry>
         <oasis:entry colname="col8">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3.14</oasis:entry>
         <oasis:entry colname="col2">123.8</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">132.7</oasis:entry>
         <oasis:entry colname="col5">0.9326</oasis:entry>
         <oasis:entry colname="col6">0.9414</oasis:entry>
         <oasis:entry colname="col7">8.25</oasis:entry>
         <oasis:entry colname="col8">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.1</oasis:entry>
         <oasis:entry colname="col2">29.6</oasis:entry>
         <oasis:entry colname="col3">31.0</oasis:entry>
         <oasis:entry colname="col4">132.6</oasis:entry>
         <oasis:entry colname="col5">0.2230</oasis:entry>
         <oasis:entry colname="col6">0.2443</oasis:entry>
         <oasis:entry colname="col7">2.14</oasis:entry>
         <oasis:entry colname="col8">0.06</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.18</oasis:entry>
         <oasis:entry colname="col2">11.9</oasis:entry>
         <oasis:entry colname="col3">36.9</oasis:entry>
         <oasis:entry colname="col4">133.0</oasis:entry>
         <oasis:entry colname="col5">0.0896</oasis:entry>
         <oasis:entry colname="col6">0.1199</oasis:entry>
         <oasis:entry colname="col7">1.05</oasis:entry>
         <oasis:entry colname="col8">0.07</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1.28</oasis:entry>
         <oasis:entry colname="col2">8.9</oasis:entry>
         <oasis:entry colname="col3">37.6</oasis:entry>
         <oasis:entry colname="col4">132.3</oasis:entry>
         <oasis:entry colname="col5">0.0674</oasis:entry>
         <oasis:entry colname="col6">0.1153</oasis:entry>
         <oasis:entry colname="col7">1.01</oasis:entry>
         <oasis:entry colname="col8">0.06</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.1</oasis:entry>
         <oasis:entry colname="col2">18.7</oasis:entry>
         <oasis:entry colname="col3">34.8</oasis:entry>
         <oasis:entry colname="col4">131.9</oasis:entry>
         <oasis:entry colname="col5">0.1418</oasis:entry>
         <oasis:entry colname="col6">0.1644</oasis:entry>
         <oasis:entry colname="col7">1.44</oasis:entry>
         <oasis:entry colname="col8">0.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.18</oasis:entry>
         <oasis:entry colname="col2">75.9</oasis:entry>
         <oasis:entry colname="col3">16.0</oasis:entry>
         <oasis:entry colname="col4">132.2</oasis:entry>
         <oasis:entry colname="col5">0.5740</oasis:entry>
         <oasis:entry colname="col6">0.5879</oasis:entry>
         <oasis:entry colname="col7">5.15</oasis:entry>
         <oasis:entry colname="col8">0.15</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2.28</oasis:entry>
         <oasis:entry colname="col2">52.9</oasis:entry>
         <oasis:entry colname="col3">23.5</oasis:entry>
         <oasis:entry colname="col4">132.1</oasis:entry>
         <oasis:entry colname="col5">0.4002</oasis:entry>
         <oasis:entry colname="col6">0.4110</oasis:entry>
         <oasis:entry colname="col7">3.60</oasis:entry>
         <oasis:entry colname="col8">0.12</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3270"><inline-formula><mml:math id="M234" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the NOAA reference gas pressure (in kPa) introduced
to the canister.
<inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Scott</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the 1 ppm <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> balanced with He (in kPa)
introduced to the canister.
<inline-formula><mml:math id="M239" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Total</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the final pressure (in kPa) of the canister after
balancing with ultrapure air.
<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> Expected <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response is calculated from the
<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Ref</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">Final</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fraction.
<inline-formula><mml:math id="M244" display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula> Measured <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response of the <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD.
<inline-formula><mml:math id="M247" display="inline"><mml:msup><mml:mi/><mml:mtext>f</mml:mtext></mml:msup></mml:math></inline-formula> Measured <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in parts per trillion (ppt).
<inline-formula><mml:math id="M249" display="inline"><mml:msup><mml:mi/><mml:mtext>g</mml:mtext></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> 1<inline-formula><mml:math id="M251" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> (ppt) is from the combined uncertainty of the sample
and the surrounding NOAA reference.</p></table-wrap-foot></table-wrap>

      <p id="d1e3904">To characterize the <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response at low part per trillion ( ppt) mixing ratios requires
consideration of the effect of the falling <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> tail on the chromatogram
baseline. To properly account for this interference, <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dilutions at
low mixing ratios (0.6–6.0 ppt) must have <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mole fractions that
reflect<?pagebreak page8971?> expected mixing ratios in archived samples (300–315 ppb). Prepared
dilutions of <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> included the addition of an aliquot of 1 ppm <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %, Scott Specialty Gases, St. Louis, MO) into the canister
prior to dilution with ultrapure air. The maximum error (1<inline-formula><mml:math id="M270" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in
<inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> introduced from the manometric process is small (0.001 ppt)
compared with the measurement uncertainty. However, <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> present in either
ultrapure air dilution gas or the <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> aliquot at trace levels below
the detection limit of our measurement (<inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> ppt) contribute to the
uncertainty in prepared samples. All dilution samples were measured at PSU
on the GC-<inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD system over several weeks to account for instrument
drift. Tables 1 and 2 provide dilution sample pressures, calculated and
observed <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD response, and measured <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole
fractions with the error in measurement used to characterize the GC-<inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD linearity.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e4093">Measurement linearity from plots of the measured mole
fraction vs. the expected mole fraction of <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>.
The expected mole fraction is calculated from the NOAA reference mole fraction
(328.71 ppb <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and 8.76 ppt <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) after dilution with ultrapure
air. Error bars represent 1<inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> total uncertainty.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f04.png"/>

        </fig>

      <?pagebreak page8972?><p id="d1e4164">Results of linearity experiments are shown in Fig. 4. For <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, a
slope of <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8747</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.028</mml:mn></mml:mrow></mml:math></inline-formula> (95 % CI) is found over the data range from 289.7 to 328.7 ppb, which is most relevant for this work. A linear fit is a good model for
the deviation from expected over this range (<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.964</mml:mn></mml:mrow></mml:math></inline-formula>); additional
polynomial terms are not statistically robust. This results in sample
measurements deviating from expected by <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> ppb ppb<inline-formula><mml:math id="M289" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> difference from the NOAA reference. For the range of the <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
in the OHSU-PSU air archive, all <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> samples are adjusted for a linear
correction of the following form:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M293" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi>X</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi>Y</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.143</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.037</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">CI</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">47.24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11.49</mml:mn><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">CI</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where [<inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M295" display="inline"><mml:msub><mml:mi/><mml:mi>Y</mml:mi></mml:msub></mml:math></inline-formula> is the response evaluated <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mole fraction and
[<inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M298" display="inline"><mml:msub><mml:mi/><mml:mi>X</mml:mi></mml:msub></mml:math></inline-formula> is the corrected value. The slope and <inline-formula><mml:math id="M299" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> intercept, as well as
their 95 % confidence intervals, are represented by <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
respectively. This correction is applied to all sample <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> measurements
(corrected values ranging between 298.9 and 314.8 ppb).</p>
      <p id="d1e4508">The entire NOAA reference gas dilution range for <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (32–321 ppb)
results in a deviation that can be adequately modeled using a third
degree polynomial. The linear fit discussed above is indistinguishable from
the full third degree polynomial over the <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio range of
the OHSU-PSU air archive. However, if measuring <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> samples with a
difference of more than 80 ppb compared with the NOAA reference gas, the full
third degree polynomial is necessary to correct for the nonlinear
response in the <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD.</p>
      <p id="d1e4558">For <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the prepared sample range over which the linear correction is
applied is 0.59–8.76 ppt, which is most relevant for this work. The slope of the
<inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> linear fit is <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.9728</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.017</mml:mn></mml:mrow></mml:math></inline-formula> (95 % CI) and is a good model
for the deviation from expected over this range (<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.9995</mml:mn></mml:mrow></mml:math></inline-formula>). This
results in a deviation from expected of <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt ppt<inline-formula><mml:math id="M312" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
<inline-formula><mml:math id="M313" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> difference from the NOAA reference when measuring samples. All
<inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements are adjusted for a linear correction of the following form:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M315" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi>X</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow><mml:msub><mml:mo>]</mml:mo><mml:mi>Y</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.028</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.018</mml:mn><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mi mathvariant="normal">CI</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.294</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.099</mml:mn><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:mn mathvariant="normal">95</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="normal">CI</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where [<inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mi>Y</mml:mi></mml:msub></mml:math></inline-formula> is the response evaluated <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction and
[<inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mi>Y</mml:mi></mml:msub></mml:math></inline-formula> is the corrected value. The slope and <inline-formula><mml:math id="M321" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> intercept, as well as
their 95 % confidence intervals, are represented by <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
respectively. This correction is applied to all sample <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements
(corrected values ranging between 0.6 and 4.3 ppt).</p>
      <p id="d1e4881">Detector response nonlinearity has been evaluated in previous work by other
groups on GC-ECD systems. For <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, deviations from expected of
<inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> ppb ppb<inline-formula><mml:math id="M327" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> difference from the reference gas are
are typical when in the linear range (Schmidt et al., 2001; Hall et al., 2007). These are similar to the value reported here for the <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD.
Over larger ranges, a similar nonlinear response curve is also reported.
<inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> nonlinearity reported in Levin et al. (2010) has a similar
curvature to the full <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> nonlinear response previously discussed.
However, this curvature is not observed to be significant over the range of
<inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dilutions conducted here.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><?xmltex \opttitle{Air archive mole fractions of {$\protect\chem{N_{{2}}O}$} and {$\protect\chem{SF_{6}}$}}?><title>Air archive mole fractions of <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e5003">Measurements of <inline-formula><mml:math id="M334" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions from 159 samples of the
OHSU-PSU air archive were initially filtered for analysis using a 7 median
absolute deviation (7MAD) noise filter to remove far outliers. Polynomial
fits (first degree for <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and second degree for <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were
then applied to the data. Residual values outside of 2<inline-formula><mml:math id="M338" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
and 3<inline-formula><mml:math id="M340" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were removed for further data analysis. The
entire process removed 12 data points for <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and 4 data points for
<inline-formula><mml:math id="M343" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> used in the analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e5119">Deseasonalized measurements of mole fraction vs. date
of collection for <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, and annual trends in time from
Cape Meares, Oregon, for <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(d)</bold>. Error bars are 1<inline-formula><mml:math id="M348" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>
uncertainty. The solid black lines are LOWESS fit to the data using a
smoothing window of 3 years, and shaded areas are 95 % confidence intervals
in the LOWESS fit calculated from bootstrapping residual variability 1000
times.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f05.png"/>

        </fig>

      <p id="d1e5196">Deseasonalized measurements of <inline-formula><mml:math id="M349" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from Cape Meares are
shown in Fig. 5a and b, respectively. A locally weighted linear
regression (LOWESS) is utilized to smooth the data using a 3 year smoothing
window (Cleaveland and Devlin 1988). The confidence intervals around
regressions are calculated by bootstrapping residual variability 1000 times.
The regression results in a <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mole fraction of <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mn mathvariant="normal">301.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb
(1<inline-formula><mml:math id="M353" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1980 that increases roughly linearly to the mid-1990s, where
the mixing ratio is <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mn mathvariant="normal">313.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb (1<inline-formula><mml:math id="M355" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1996.</p>
      <p id="d1e5276">Observations of the <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mole fraction match well with previously published
measurements of <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from Cape Meares between 1978 and 1998 of 301.2 ppb
in 1980 and 313–314.5 ppb in 1996 on the SIO-1998 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> scale (Prinn et
al., 1990, 2000; Khalil et al., 2002). The <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> scale
difference between SIO-1998 and NOAA-06 is minimal (Hall et al., 2007).
Additional measurements by the Advanced Global Atmospheric Gases Experiment
(AGAGE) and NOAA/ESRL (on the SIO-1998 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and NOAA-06 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> scales,
respectively) are reported from comparable sample locations. Trinidad Head,
CA (41<inline-formula><mml:math id="M362" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 121<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), Mace Head, Ireland (53<inline-formula><mml:math id="M364" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
10<inline-formula><mml:math id="M365" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), and Niwot Ridge, CO (40<inline-formula><mml:math id="M366" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 106<inline-formula><mml:math id="M367" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W),
all measure <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">313</mml:mn></mml:mrow></mml:math></inline-formula> ppb in 1996 (Prinn et al., 2000; Hall et al., 2007). Together, these comparisons indicate that the <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the archived
samples has stored well.</p>
      <?pagebreak page8973?><p id="d1e5436">The measured <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio in archived Cape Meares samples is determined
to be <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt (1<inline-formula><mml:math id="M372" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1980 and increases to a mixing
ratio of <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt (1<inline-formula><mml:math id="M374" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1996. Cape Meares does not
have previously reported measurements of <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to compare with directly.
Measurements of <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from Trinidad Head, CA, are reported to be
<inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula> ppt in 1980 and <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.73</mml:mn></mml:mrow></mml:math></inline-formula> ppt in 1996 on the
SIO-2005 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale (Rigby et al., 2010). To convert to the NOAA-06
<inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale, values measured on the SIO-2005 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale are divided
by a conversion factor of 0.9991 (Hall et al., 2014). In 1996, values of 3.87, 3.87, and 3.78 ppt are reported for Alert, Canada (82<inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
62<inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), Barrow, AK (71<inline-formula><mml:math id="M384" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 157<inline-formula><mml:math id="M385" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), and Niwot
Ridge, CO, respectively, on the NOAA-06 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale (Hall et al., 2011). At
these <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios, the difference between the NOAA-06 scale and
the NOAA-14 scale is minimal. Cape Meares <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured values compare
well with these Northern Hemisphere locations.</p>
      <p id="d1e5635">In the Northern Hemisphere, maximum background mixing ratio measurements of
<inline-formula><mml:math id="M389" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are reported from mid-to-high latitudes (Geller et al., 1997). For
the year 1994, measurements from Fraserdale, Canada (50<inline-formula><mml:math id="M390" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
82<inline-formula><mml:math id="M391" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), are reported to be 0.14 ppt higher than samples measured
from Izaña, Tenerife (28<inline-formula><mml:math id="M392" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 16<inline-formula><mml:math id="M393" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) (Maiss et al., 1996). This difference is explained by the vast majority of <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
emissions coming from the midlatitudes in the Northern Hemisphere (Maiss
and Brenninkmeijer 1998; Levin et al., 2010; Rigby et al., 2010). The measured
<inline-formula><mml:math id="M395" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios from Cape Meares, also a midlatitude Northern Hemisphere site, appear
to fit in well with the expected meridional gradient when comparing to
previously mentioned reported values.</p>
      <p id="d1e5708">Southern Hemisphere measurements of <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from archived atmospheric
samples from Cape Grim, Tasmania (41<inline-formula><mml:math id="M397" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 145<inline-formula><mml:math id="M398" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), and
Neumayer, Antarctica (70<inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 8<inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), are <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>–0.7 ppt in 1980 and <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula>–3.5 ppt in 1996 on the
SIO-2005 and University of Heidelberg <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scales (Levin et al., 2010,
Rigby et al., 2010). As with the SIO-2005 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale, the NOAA-06 and
University of Heidelberg scale differences are small. To convert to the
NOAA-06 <inline-formula><mml:math id="M405" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale, values measured on the University of Heidelberg
<inline-formula><mml:math id="M406" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scale are divided by a conversion factor of 0.9954 (Hall et al., 2014). Including a scale correction, Cape Meares <inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements are
higher than Cape Grim and Neumayer during this period by 0.2–0.4 ppt. Much
or all of this difference can be explained by an interhemispheric
north–south difference of 0.3–0.4 ppt (Levin et al., 2010).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><?xmltex \opttitle{Growth rate in {$\protect\chem{N_{{2}}O}$} and {$\protect\chem{SF_{6}}$}}?><title>Growth rate in <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e5867">The mean secular trend between 1978 and 1996 for <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M413" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI) and <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M415" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI), respectively, and is determined by applying a linear fit to
deseasonalized data over this time period. These trends translate to annual
increases of <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> % for
<inline-formula><mml:math id="M418" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M419" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Annual trends for <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
at Cape Meares, Oregon, are determined from the derivative of the
deseasonalized localized regression (Fig. 5c, d). Uncertainty bands are
generated from regressions of bootstrapped variability. Data points
represent the mean annual trend with error bars equal to <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>
of the trend over the year.</p>
      <p id="d1e6024">The mean annual trend in <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 5c) ranges between 0.6
and 1.2 ppb yr<inline-formula><mml:math id="M424" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. All years between 1980 and 1996 show a positive rate
of change significant at the 95 % confidence level. The uncertainty in the
annual trend is smallest in the early 1980s, at <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M426" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(95 % CI), where the largest amount of data is available (<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %
of samples are between 1980 and 1985). After 1985, uncertainty in the annual
trend becomes <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M429" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI). This relatively large
uncertainty results in an annual growth rate that is statistically
indistinguishable between years.</p>
      <p id="d1e6107">A previously reported secular trend of <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> found between 1978 and
1998 for Cape Meares is <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.74</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is indistinguishable
from our result (Prinn et al., 2000). The global secular trend of <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
for the period from 1985 to 1996 reported by Khalil et al. (2002) is <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.69</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is also compatible with our trend at Cape Meares.</p>
      <p id="d1e6186">The <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> annual trend (Fig. 5d) from the Cape Meares analysis increases
from <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.07</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M438" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI) in 1980 to <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI) in 1994. The average rate of change in the
growth rate (second derivative of mole fraction vs. time) over this period
is 0.014 ppt yr<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The increase in the growth rate over this period is
statistically significant at<?pagebreak page8974?> high levels of confidence (95 %). After 1994,
we measure a decrease in the growth rate, although this decline is not
statistically significant at high levels of confidence over this short time
interval.</p>
      <p id="d1e6261">Comparable trends in <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measured at other locations are available for
the mid-1990s. The average global growth rate of <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in 1994 was
reported at 0.23 ppt yr<inline-formula><mml:math id="M444" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the Northern Hemisphere (Maiss et al., 1996). Alert, Canada, and Izaña, Tenerife, are observed to have maximum
trends of 0.26 ppt yr<inline-formula><mml:math id="M445" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in mid-1994 and at the beginning of 1995 (Levin
et al., 2010), respectively, which are compatible with results presented here. This
localized maximum in the growth rate is also present in some Southern Hemisphere
observations of <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at a similar time; Neumayer, Antarctica
shows a maximum trend of 0.25 ppt yr<inline-formula><mml:math id="M447" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in 1995–1996 (Levin et al., 2010). This finding is consistent with a peak in <inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions as
reported by the European Database for Global Atmospheric Research (EDGAR,
v4.2).</p>
      <p id="d1e6345">Another feature observed in the <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> trend from Cape Meares is a local
maximum in the growth rate near 1987 (Fig. 5d). Notably, however, not all
datasets agree. The growth rate reported from Neumayer, Antarctica, has this
feature during a similar period (Levin et al., 2010), but the trend reported
at Cape Grim, Tasmania, does not show this local maximum (Rigby et al., 2010).
Due to the large uncertainty from the few archived samples available during
that time period, this local maximum is not statistically distinguishable
from surrounding years at high levels of confidence in the Cape Meares
analysis; thus, this result is merely suggestive. Additional evidence is needed
to corroborate this finding.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e6361">Seasonality for <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M451" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> calculated from the residuals of observed data points to the secular trend.
The black line is a LOWESS fit to residuals with a smoothing window of 1 month. Data points show the observed monthly mean residual after binning by
month with error bars representing the standard error within the month. Shaded
areas are 95 % CI calculated from 1000 bootstrapped LOWESS fits while
including the measurement uncertainty to each data point.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/19/8967/2019/acp-19-8967-2019-f06.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Seasonality in the {$\protect\chem{N_{{2}}O}$} and {$\protect\chem{SF_{6}}$} mole fraction}?><title>Seasonality in the <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction</title>
      <p id="d1e6435">Seasonal behavior for <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are shown in Fig. 6 and are
determined from residuals to the secular trend. The <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> seasonal cycle
at Cape Meares shows a maximum near April and May of 0.3 ppb and an extended
minimum from September through December of <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb. Although there is
considerable uncertainty surrounding monthly means, the difference between
the spring maximum and fall minimum is statistically robust at high levels
of confidence (two-sample KS test, <inline-formula><mml:math id="M458" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M459" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.003).</p>
      <p id="d1e6500">The seasonal amplitude matches well with previously reported Northern
Hemisphere magnitudes of <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb (Liao et al., 2004). Other
midlatitude Northern Hemisphere sites also show a seasonal phase similar to
that observed at Cape Meares. <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> seasonality reported at Mace Head,
Ireland, has a maximum near April and a minimum near August and September
(Nevison et al., 2004; Jiang et al., 2007), and Trinidad Head, CA, seasonality
has a maximum near late May and a broad minimum from September to January
(Nevison et al., 2007).</p>
      <p id="d1e6526">In general, the <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> seasonal amplitude is known to vary strongly with
latitude, e.g., 0.29 ppb at the South Pole (90<inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 102<inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) and 1.15 ppb at Alert, Canada (Jiang et al., 2007). This is attributed in
part to the stronger branch of the Brewer–Dobson circulation in the Northern
Hemisphere which also explains the high-latitude minimums in late-summer
months related to the influx of <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>-depleted air from the stratosphere
during the spring (Liao et al., 2004; Nevison et al., 2004). Aside from
atmospheric circulation, <inline-formula><mml:math id="M466" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> seasonality may also be influenced by
regional sources. Lueker et al. (2003) suggested that local maximums at Trinidad
Head may reflect the influence of strong coastal upwelling. Similarly
located in the eastern Pacific, Cape Meares may also be subject to coastal
upwelling influences. Isotopic analysis or modeling of transport effects and
source influence would be useful to help interpret seasonal behavior of
<inline-formula><mml:math id="M467" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> at Cape Meares.</p>
      <p id="d1e6601">Seasonality for <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows a maximum between December and February of
0.04 ppt and a minimum near July of <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt. The difference between the
winter maximum and summer minimum is statistically significant (two-sample KS
test, <inline-formula><mml:math id="M470" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M471" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.004). <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> seasonality has not previously been
reported for Cape Meares.</p>
      <p id="d1e6650">Some seasonality in Northern Hemisphere observations of <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is reported
in the literature at select locations. Barrow, AK, has a minimum in September
and October with a broad maximum from December to June (Patra et al., 2009).
Alert, Canada, shows a strong minimum in October, although a maximum is not
clearly defined (Wilson et al., 2014). Continental sites such as Niwot Ridge
show large interannual variability (IAV) but have little distinguishable
seasonality (Patra et al., 2009).</p>
      <?pagebreak page8975?><p id="d1e6664"><?xmltex \hack{\newpage}?><inline-formula><mml:math id="M474" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> seasonality at Cape Grim has been reported to have an amplitude of
<inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ppt with a maximum in September and October and a minimum
near February (Nevison et al., 2007; Wilson et al., 2014). The seasonality
phase of Cape Grim is nearly antiphase of the Cape Meares results reported here, although
the amplitude is a factor of 4 smaller at Cape Grim. Similar to <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>,
the seasonal amplitude is expected to be larger in the Northern Hemisphere
than in the Southern Hemisphere (Nevison et al., 2007). Because sources of
<inline-formula><mml:math id="M477" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are aseasonal and sinks are essentially zero in the troposphere;
the driving force behind the observed seasonality in <inline-formula><mml:math id="M478" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is considered
to be atmospheric transport (Patra et al., 2009). Processes such as
convection, boundary layer mixing, stratosphere–troposphere exchange (STE),
and shifts in the intertropical convergence zone can potentially influence the observed seasonality at
a location. Seasonal transport from STE adds relatively depleted <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
air into the troposphere from the stratosphere. The seasonal phase of
<inline-formula><mml:math id="M480" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observed at Cape Meares closely reflects seasonality phasing
observed in CFCs in the Northern Hemisphere driven by STE (Liang et al., 2008). Modeling atmospheric transport effects on <inline-formula><mml:math id="M481" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at Cape Meares
could help confirm amplitude and phase reported here.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e6766">We measured 159 samples from the OHSU-PSU air archive from Cape Meares,
Oregon (45.5<inline-formula><mml:math id="M482" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 124.0<inline-formula><mml:math id="M483" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W), for <inline-formula><mml:math id="M484" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M485" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
mole fraction using GC-<inline-formula><mml:math id="M486" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD spanning the period from April 1978 to December 1996. The
GC-<inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD system is designed to be fully automated, and is capable of running
multiple pressurized samples per run. Measurement precision of <inline-formula><mml:math id="M488" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M489" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is 0.16 % and 1.1 %, respectively. Sample mixing ratios were
also corrected for detector response nonlinearity when measured against our
reference gas. The linearity correction was found to be 0.14 ppb ppb<inline-formula><mml:math id="M490" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and 0.03 ppt ppt<inline-formula><mml:math id="M491" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for <inline-formula><mml:math id="M492" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M493" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively.</p>
      <p id="d1e6901">The analysis of archived air samples gives a mole fraction of <inline-formula><mml:math id="M494" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in
1980 of <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:mn mathvariant="normal">301.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb (1<inline-formula><mml:math id="M496" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), which rises to <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mn mathvariant="normal">313.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppb (1<inline-formula><mml:math id="M498" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1996. The average growth rate over this period is <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.78</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppb yr<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (95 % CI). Seasonality shows a peak amplitude of
0.3 ppb near April and a minimum amplitude of <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> ppb near November and is
statistically robust. Our measurements of <inline-formula><mml:math id="M502" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> were found to match well
with previously reported values for Cape Meares and other comparable
Northern Hemisphere midlatitude locations.</p>
      <p id="d1e7003">For <inline-formula><mml:math id="M503" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the mixing ratio in 1980 is found to be <inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt
(1<inline-formula><mml:math id="M505" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), increasing to <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt (1<inline-formula><mml:math id="M507" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) in 1996. The
average growth rate over this period is <inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.17</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ppt yr<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
(95 % CI). Seasonality shows a peak amplitude of 0.04 ppb near January and a
a minimum amplitude of <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppt near July. There are no previous reported
measurements of <inline-formula><mml:math id="M511" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from Cape Meares to compare against directly.
<inline-formula><mml:math id="M512" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements compare well to other Northern Hemisphere measurements
from Levin et al. (2010), Rigby et al. (2010), and Hall et al. (2011) over
similar time periods when including spatial variability. From these <inline-formula><mml:math id="M513" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M514" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements, we can conclude the sample integrity is robust
within the OHSU-PSU air archive from Cape Meares, Oregon. The resulting dataset
of <inline-formula><mml:math id="M515" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, in particular, contributes to a better characterization of
historic <inline-formula><mml:math id="M516" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> growth rate and its atmospheric variability over this
period of dramatic growth.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e7164">A supplementary dataset of <inline-formula><mml:math id="M517" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fractions at Cape
Meares, Oregon, measured for this work from the OSHU-PSU air archive are
available to the scientific community (upon publication) and may be obtained
by contacting the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e7191">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-19-8967-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-19-8967-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7200">Both authors (TR and AR) worked closely together in the development and implementation of the GC technique used to make the mole fraction measurements of <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Data curation and analysis were also completed by both authors. The original draft of this paper was prepared by TR; AR was responsible for the review and editing of the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7230">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7236">This study was supported by the US National Science Foundation (Atmospheric
and Geospace Sciences grant no. 0952307). The authors would like to recognize
Johnathan Radda for his assistance developing the GC-<inline-formula><mml:math id="M521" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>ECD technique
used to measure the samples, Reinhold A. Rasmussen
for help with establishing the
OHSU-PSU air archive, and Christopher Butenhoff and M. Aslam Khan Khalil for
their assistance with data analysis and interpretation.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7249">This research has been supported by the US National Science Foundation (grant no. 0952307).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7255">This paper was edited by Gabriele Stiller and reviewed by Andreas Engel, Brad Hall, Eric Ray, and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>
Ciais, P., Sabine, C., Bala, G., Bopp, L., Brovkin, V., Canadell, J.,
Chhabra, A., DeFries, R., Galloway, J., Heimann, M., Jones, C., Le
Quéré, C., Myneni, R. B., Piao, S., and Thornton, P.: Carbon<?pagebreak page8976?> and
Other Biogeochemical Cycles, in: Climate Change 2013: The Physical Science
Basis, Contribution of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner,
G.-K., Tignor, M., Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V.,
and Midgley, P. M., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 465–570, 2013.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>
Crutzen, P.: The influence of nitrogen oxides on the atmospheric ozone
content, Q. J. Roy. Meteor. Soc., 96,
320–325, 1970.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>
Cleveland, W. S. and Devlin, S. J.: Locally weighted regression: An
approach to regression analysis by local fitting, J. Am. Stat. Assoc., 83, 596–610, 1988.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Dlugokencky, E. J., Hall, B. D., Montzka, S. A., Dutton, G., Mühle, J.,
and Elkins, J. W.: Atmospheric composition: Long-lived Greenhouse Gases, in:
State of the Climate in 2017, B. Am. Meteorol. Soc., 99,
46–49, <ext-link xlink:href="https://doi.org/10.1175/2018BAMSStateoftheClimate.1" ext-link-type="DOI">10.1175/2018BAMSStateoftheClimate.1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>EDGAR, Emission Database for Global Atmospheric Research (EDGAR): European
Commission, Joint Research Centre (JRC)/Netherlands Environmental Assessment
Agency (PBL), release version 4.2., available at: <uri>http://edgar.jrc.ec.europa.eu</uri> (last access: 28 December 2018), 2013.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>
Geller, L., Elkins, J., Lobert, J., Clarke, A., Hurst, D., Butler, J., and
Myers, R.: Tropospheric SF6: Observed latitudinal distribution and trends,
derived emissions and interhemispheric exchange time, Geophys. Res.
Lett., 24, 675–678, 1997.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Hall, B. D., Dutton, G. S., and Elkins, J. W.: The NOAA nitrous oxide
standard scale for atmospheric observations, J. Geophys. Res.-Atmos., 112,
D09305, <ext-link xlink:href="https://doi.org/10.1029/2006JD007954" ext-link-type="DOI">10.1029/2006JD007954</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Hall, B. D., Dutton, G. S., Mondeel, D. J., Nance, J. D., Rigby, M., Butler, J. H., Moore, F. L., Hurst, D. F., and Elkins, J. W.: Improving measurements of <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the study of atmospheric transport and emissions, Atmos. Meas. Tech., 4, 2441–2451, <ext-link xlink:href="https://doi.org/10.5194/amt-4-2441-2011" ext-link-type="DOI">10.5194/amt-4-2441-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Hall, B. D., Engel, A., Mühle, J., Elkins, J. W., Artuso, F., Atlas, E., Aydin, M., Blake, D., Brunke, E.-G., Chiavarini, S., Fraser, P. J., Happell, J., Krummel, P. B., Levin, I., Loewenstein, M., Maione, M., Montzka, S. A., O'Doherty, S., Reimann, S., Rhoderick, G., Saltzman, E. S., Scheel, H. E., Steele, L. P., Vollmer, M. K., Weiss, R. F., Worthy, D., and Yokouchi, Y.: Results from the International Halocarbons in Air Comparison Experiment (IHALACE), Atmos. Meas. Tech., 7, 469–490, <ext-link xlink:href="https://doi.org/10.5194/amt-7-469-2014" ext-link-type="DOI">10.5194/amt-7-469-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Ishijima, K., Sugawara, S., Kawamura, K., Hashida, G., Morimoto, S.,
Murayama, S., Aoki, S., and Nakazawa, T.: Temporal variations of the
atmospheric nitrous oxide concentration and its <inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>O for the latter half of the 20th century reconstructed from firn air
analyses, J. Geophys. Res.-Atmos., 112, D03305, https://doi.org/10.1029/2006JD007208, 2007.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Jiang, X., Ku, W. L., Shia, R.-L., Li, Q., Elkins, J. W., Prinn, R. G., and
Yung, Y. L.: Seasonal cycle of <inline-formula><mml:math id="M525" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>: Analysis of data, Global Biogeochem.
Cy., 21, GB1006, <ext-link xlink:href="https://doi.org/10.1029/2006GB002691" ext-link-type="DOI">10.1029/2006GB002691</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>
Khalil, M. A. K. and Rasmussen, R. A.: Increase and seasonal cycles of
nitrous oxide in the earth's atmosphere, Tellus, 35, 161–169, 1983.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>
Khalil, M. A. K., Rasmussen, R. A., and Shearer, M. J.: Atmospheric nitrous
oxide: patterns of global change during recent decades and centuries,
Chemosphere, 47, 807–821, 2002.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Kovács, T., Feng, W., Totterdill, A., Plane, J. M. C., Dhomse, S., Gómez-Martín, J. C., Stiller, G. P., Haenel, F. J., Smith, C., Forster, P. M., García, R. R., Marsh, D. R., and Chipperfield, M. P.: Determination of the atmospheric lifetime and global warming potential of sulfur hexafluoride using a three-dimensional model, Atmos. Chem. Phys., 17, 883–898, <ext-link xlink:href="https://doi.org/10.5194/acp-17-883-2017" ext-link-type="DOI">10.5194/acp-17-883-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation>Levin, I. and Hesshaimer, V.: Refining of atmospheric transport model
entries by the globally observed passive tracer distributions of 85 krypton
and sulfur hexafluoride (<inline-formula><mml:math id="M526" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), J. Geophys. Res.-Atmos., 101,
16745–16755, <ext-link xlink:href="https://doi.org/10.1029/96JD01058" ext-link-type="DOI">10.1029/96JD01058</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Levin, I., Naegler, T., Heinz, R., Osusko, D., Cuevas, E., Engel, A., Ilmberger, J., Langenfelds, R. L., Neininger, B., Rohden, C. v., Steele, L. P., Weller, R., Worthy, D. E., and Zimov, S. A.: The global <inline-formula><mml:math id="M527" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source inferred from long-term high precision atmospheric measurements and its comparison with emission inventories, Atmos. Chem. Phys., 10, 2655–2662, <ext-link xlink:href="https://doi.org/10.5194/acp-10-2655-2010" ext-link-type="DOI">10.5194/acp-10-2655-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>Liao, T., Camp, C., and Yung, Y.: The seasonal cycle of <inline-formula><mml:math id="M528" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, Geophys. Res.
Lett., 31, L17108, <ext-link xlink:href="https://doi.org/10.1029/2004GL020345" ext-link-type="DOI">10.1029/2004GL020345</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Liang, Q., Stolarski, R., Douglass, A., Newman, P., and Nielsen, J.:
Evaluation of emissions and transport of CFCs using surface observations and
their seasonal cycles and the GEOS CCM simulation with emissions-based
forcing, J. Geophys. Res.-Atmos., 113, D14302, <ext-link xlink:href="https://doi.org/10.1029/2007JD009617" ext-link-type="DOI">10.1029/2007JD009617</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Lueker, T., Walker, S., Vollmer, M., Keeling, R., Nevison, C., Weiss, R.,
and Garcia, H: Coastal upwelling air-sea fluxes revealed in atmospheric
observations of <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M531" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, Geophys. Res. Lett., 30, 1292,
<ext-link xlink:href="https://doi.org/10.1029/2002GL016615" ext-link-type="DOI">10.1029/2002GL016615</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Maiss, M. and Brenninkmeijer, C.: Atmospheric <inline-formula><mml:math id="M532" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>: Trends, sources, and
prospects, Environ. Sci. Technol., 3, 3077–3086, 1998.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Maiss, M., Steele, L. P., Francey, R., Fraser, P., Langenfelds, R., Trivett,
N., and Levin, I.: Sulfur hexafluoride – a powerful new atmospheric tracer,
Atmos. Environ., 30, 1621–1629, <ext-link xlink:href="https://doi.org/10.1016/1352-2310(95)00425-4" ext-link-type="DOI">10.1016/1352-2310(95)00425-4</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Meinshausen, M., Vogel, E., Nauels, A., Lorbacher, K., Meinshausen, N., Etheridge, D. M., Fraser, P. J., Montzka, S. A., Rayner, P. J., Trudinger, C. M., Krummel, P. B., Beyerle, U., Canadell, J. G., Daniel, J. S., Enting, I. G., Law, R. M., Lunder, C. R., O'Doherty, S., Prinn, R. G., Reimann, S., Rubino, M., Velders, G. J. M., Vollmer, M. K., Wang, R. H. J., and Weiss, R.: Historical greenhouse gas concentrations for climate modelling (CMIP6), Geosci. Model Dev., 10, 2057–2116, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-2057-2017" ext-link-type="DOI">10.5194/gmd-10-2057-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>
Myhre, G., Shindell, D., Bréon, F.-M., Collins, W., Fuglestvedt, J.,
Huang, J., Koch, D., Lamarque, J.-F., Lee, D., Mendoza, B., Nakajima, T.,
Robock, A., Stephens, G., Takemura, T., and Zhang, H.: Anthropogenic and
Natural Radiative Forcing, in: Climate Change 2013: The Physical Science
Basis, Contribution of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, in: Stocker, T. F., Qin, D., Plattner,
G.-K., Tignor, M., Allen, S. K., Boschung, J.,<?pagebreak page8977?> Nauels, A., Xia, Y., Bex, V.,
and Midgley, P. M., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 2013.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Nevison, C., Kinninson, D., and Weiss, R.: Stratospheric influences on the
tropospheric seasonal cycles of nitrous oxide and chlorofluorocarbons,
Geophys. Res. Lett., 31, L20103, <ext-link xlink:href="https://doi.org/10.1029/2004GL020398" ext-link-type="DOI">10.1029/2004GL020398</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>Nevison, C., Mahowald, N., Weiss, R., and Prinn, R.: Interannual and
seasonal variability in atmospheric <inline-formula><mml:math id="M533" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, Global Biogeochem. Cy., 21, GB3017,
<ext-link xlink:href="https://doi.org/10.1029/2006GB002755" ext-link-type="DOI">10.1029/2006GB002755</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Olivier, J., Van Aardenne, J., Dentener, F., Pagliari, V., Ganzeveld, L.,
and Peters, J.: Recent trends in global greenhouse gas emissions:regional
trends 1970–2000 and spatial distribution of key sources in 2000, Environ.
Sci., 2, 81–99, <ext-link xlink:href="https://doi.org/10.1080/15693430500400345" ext-link-type="DOI">10.1080/15693430500400345</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Park, S., Croteau, P. Boering, K. A., Etheridge, D. M., Ferretti, D.,
Fraser, P. J., Kim, K-R., Krummel, P. B., Langenfelds, R. L., van Ommen, T.
D., Steele, L. P., and Trudinger, C. M.: Trends and seasonal cycles in the
isotopic composition of nitrous oxide since 1940, Nat. Geosci., 5,
261–265, <ext-link xlink:href="https://doi.org/10.1038/NGEO1421" ext-link-type="DOI">10.1038/NGEO1421</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Patra, P. K., Takigawa, M., Dutton, G. S., Uhse, K., Ishijima, K., Lintner, B. R., Miyazaki, K., and Elkins, J. W.: Transport mechanisms for synoptic, seasonal and interannual <inline-formula><mml:math id="M534" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variations and “age” of air in troposphere, Atmos. Chem. Phys., 9, 1209–1225, <ext-link xlink:href="https://doi.org/10.5194/acp-9-1209-2009" ext-link-type="DOI">10.5194/acp-9-1209-2009</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Prather, M. J., Holmes, C. D., and Hsu, J.: Reactive green house gas
scenarios: Systematic exploration of uncertainties and the role of
atmospheric chemistry, Geophys. Res. Lett., 39, L09803,
<ext-link xlink:href="https://doi.org/10.1029/2012GL051440" ext-link-type="DOI">10.1029/2012GL051440</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation>Prather, M. J., Hsu, J., DeLuca, N. M., Jackman, C. H., Oman, L. D.,
Douglass, A. R., Fleming, E. L., Strahan, S. E., Steenrod, S. D., Søvde,
O. A., Isaksen, I. S. A., Froidevaux, L., and Funke, B.: Measuring and
modeling the lifetime of nitrous oxide including its variability, J.
Geophys. Res.-Atmos., 120, 5693–5705, <ext-link xlink:href="https://doi.org/10.1002/" ext-link-type="DOI">10.1002/</ext-link> 2015JD023267, 2015.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>
Prinn, R., Cunnold, D., Rasmussen, R., Simmonds, P., Alyea, F., Crawford,
A., Fraser, P., and Rosen, R.: Atmospheric emissions and trends of nitrous
oxide deduced from 10 years of ALE-GAGE data, J. Geophys. Res., 95,
18369–18385, 1990.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>Prinn, R., Weiss, R., Fraser, P., Simmonds, P., Cunnold, D., Alyea, F.,
O'Doherty, S., Salameh, P., Miller, B. R., Huang, J., Wang, R. H. J.,
Hartley, D. E., Harth, C., Steele, L. P., Sturrock, G., Midgley, P. M., and
McCulloch, A.: A history of chemically and radiatively important gases in
air deducted from ALE/GAGE/AGAGE, J. Geophys. Res., 105, 17751–17792,
<ext-link xlink:href="https://doi.org/10.1029/2000JD900141" ext-link-type="DOI">10.1029/2000JD900141</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Prinn, R. G., Weiss, R. F., Arduini, J., Arnold, T., DeWitt, H. L., Fraser, P. J., Ganesan, A. L., Gasore, J., Harth, C. M., Hermansen, O., Kim, J., Krummel, P. B., Li, S., Loh, Z. M., Lunder, C. R., Maione, M., Manning, A. J., Miller, B. R., Mitrevski, B., Mühle, J., O'Doherty, S., Park, S., Reimann, S., Rigby, M., Saito, T., Salameh, P. K., Schmidt, R., Simmonds, P. G., Steele, L. P., Vollmer, M. K., Wang, R. H., Yao, B., Yokouchi, Y., Young, D., and Zhou, L.: History of chemically and radiatively important atmospheric gases from the Advanced Global Atmospheric Gases Experiment (AGAGE), Earth Syst. Sci. Data, 10, 985–1018, <ext-link xlink:href="https://doi.org/10.5194/essd-10-985-2018" ext-link-type="DOI">10.5194/essd-10-985-2018</ext-link>, 2018.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Ray, E., Moore, F. L., Elkins, J. W., Rosenlof, K. H., Laube, J. C.,
Röckmann, T., Marsh, D. R., and Andrews, A. E.: Quantification of the
SF6 Lifetime Based on Mesospheric Loss Measured in the Stratospheric Polar
Vortex, J. Geophys. Res.-Atmos., 122, 4626–4638,
<ext-link xlink:href="https://doi.org/10.1002/2016JD026198" ext-link-type="DOI">10.1002/2016JD026198</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>
Rice, A. L., Butenhoff, C. L., Teama, D. G.,
Röger, F. H., Khalil, M. A. K., and Rasmussen, R. A.: Atmospheric
methane isotopic record favors fossil sources flat in 1980s and 1990s with
recent increase, P. Natl. Acad. Sci. USA, 113, 10791–10796, 2016.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Rigby, M., Mühle, J., Miller, B. R., Prinn, R. G., Krummel, P. B., Steele, L. P., Fraser, P. J., Salameh, P. K., Harth, C. M., Weiss, R. F., Greally, B. R., O'Doherty, S., Simmonds, P. G., Vollmer, M. K., Reimann, S., Kim, J., Kim, K.-R., Wang, H. J., Olivier, J. G. J., Dlugokencky, E. J., Dutton, G. S., Hall, B. D., and Elkins, J. W.: History of atmospheric <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 1973 to 2008, Atmos. Chem. Phys., 10, 10305–10320, <ext-link xlink:href="https://doi.org/10.5194/acp-10-10305-2010" ext-link-type="DOI">10.5194/acp-10-10305-2010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Saikawa, E., Prinn, R. G., Dlugokencky, E., Ishijima, K., Dutton, G. S., Hall, B. D., Langenfelds, R., Tohjima, Y., Machida, T., Manizza, M., Rigby, M., O'Doherty, S., Patra, P. K., Harth, C. M., Weiss, R. F., Krummel, P. B., van der Schoot, M., Fraser, P. J., Steele, L. P., Aoki, S., Nakazawa, T., and Elkins, J. W.: Global and regional emissions estimates for <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, Atmos. Chem. Phys., 14, 4617–4641, <ext-link xlink:href="https://doi.org/10.5194/acp-14-4617-2014" ext-link-type="DOI">10.5194/acp-14-4617-2014</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Schmidt, M., Glatzel-Mattheier, H., Sartorius, H., Worthy, D. E., and Levin,
I.: Western European <inline-formula><mml:math id="M537" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> emissions: A top-down approach based on atmospheric
observations, J. Geophys. Res., 106, 5507–5515, 2001.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Snider, D. M., Venkiteswaran, J. J., Schiff, S. L., and Spoelstra, J.: From the
ground up: Global nitrous oxide sources are constrained by stable isotope
values, PLOS ONE, 10, E0118954, <ext-link xlink:href="https://doi.org/10.1371/journal.pone.011895" ext-link-type="DOI">10.1371/journal.pone.011895</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><mixed-citation>Stocker, B. D., Roth, R., Joos, F., Spahni, R., Steinacher, M., Zeahle, S.,
Bouwman, L., and Prentice, I. C.: Multiple greenhouse-gas feedbacks from the
land biosphere under future climate change scenarios, Nat. Clim. Change,
3, 666–672, <ext-link xlink:href="https://doi.org/10.1038/nclimate1864" ext-link-type="DOI">10.1038/nclimate1864</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><mixed-citation>Sulfur Hexafluoride (<inline-formula><mml:math id="M538" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) WMO Scale, available at: <uri>https://www.esrl.noaa.gov/gmd/ccl/sf6_scale.html</uri>, last
access: 17 June 2018.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><mixed-citation>Vollmer, M. K., Young, D., Trudinger, C. M., Mühle, J., Henne, S., Rigby, M., Park, S., Li, S., Guillevic, M., Mitrevski, B., Harth, C. M., Miller, B. R., Reimann, S., Yao, B., Steele, L. P., Wyss, S. A., Lunder, C. R., Arduini, J., McCulloch, A., Wu, S., Rhee, T. S., Wang, R. H. J., Salameh, P. K., Hermansen, O., Hill, M., Langenfelds, R. L., Ivy, D., O'Doherty, S., Krummel, P. B., Maione, M., Etheridge, D. M., Zhou, L., Fraser, P. J., Prinn, R. G., Weiss, R. F., and Simmonds, P. G.: Atmospheric histories and emissions of chlorofluorocarbons CFC-13 (<inline-formula><mml:math id="M539" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CClF</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M540" display="inline"><mml:mi mathvariant="normal">Σ</mml:mi></mml:math></inline-formula>CFC-114 (<inline-formula><mml:math id="M541" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cl</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">F</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and CFC-115 (<inline-formula><mml:math id="M542" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">ClF</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), Atmos. Chem. Phys., 18, 979–1002, <ext-link xlink:href="https://doi.org/10.5194/acp-18-979-2018" ext-link-type="DOI">10.5194/acp-18-979-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><mixed-citation>Wilson, C., Chipperfield, M. P., Gloor, M., and Chevallier, F.: Development of a variational flux inversion system (INVICAT v1.0) using the TOMCAT chemical transport model, Geosci. Model Dev., 7, 2485–2500, <ext-link xlink:href="https://doi.org/10.5194/gmd-7-2485-2014" ext-link-type="DOI">10.5194/gmd-7-2485-2014</ext-link>, 2014.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Trends in N<sub>2</sub>O and SF<sub>6</sub> mole fractions in archived air samples from Cape Meares, Oregon (USA), 1978–1996</article-title-html>
<abstract-html><p>Quantifying historical trends in atmospheric greenhouse
gases (GHGs) is important to understanding changes in their budgets and for
climate modeling, which simulates historic and projects future climate.
Archived samples analyzed using updated measurement techniques and
calibration scales can reduce uncertainties in historic records of GHG mole
fractions and their trends in time. Here, we present historical measurements
of two important GHGs, nitrous oxide (N<sub>2</sub>O) and sulfur hexafluoride
(SF<sub>6</sub>), collected at the midlatitude Northern Hemisphere station Cape
Meares, Oregon (USA, 45.5°&thinsp;N, 124°&thinsp;W), between 1978 and
1996 in archived air samples from the Oregon Health and Science University
– Portland State University (OHSU–PSU) air archive. N<sub>2</sub>O is the third
most important anthropogenically forced GHG behind carbon dioxide (CO<sub>2</sub>)
and methane (CH<sub>4</sub>). SF<sub>6</sub> has a low abundance in the atmosphere, but
is one of the most powerful GHGs known. Measurements of atmospheric N<sub>2</sub>O
made during this period are available for select locations, but before
mid-1990 they have larger uncertainties than more recent periods due to
advancements made in gas chromatography (GC) methods. Few atmospheric
SF<sub>6</sub> measurements exist pre-1990, particularly in the Northern
Hemisphere. The GC system used to measure N<sub>2</sub>O and SF<sub>6</sub> mixing
ratios in this work is designed to be fully automated, and is capable of running up
to 15 samples per batch. Measurement precision (1<i>σ</i>) of N<sub>2</sub>O and
SF<sub>6</sub> is 0.16&thinsp;% and 1.1&thinsp;%, respectively (evaluated at 328.7&thinsp;ppb and
8.8&thinsp;ppt). Samples were corrected for detector response nonlinearity when
measured against our reference standard, with the corrections determined to be 0.14&thinsp;ppb&thinsp;ppb<sup>−1</sup> in N<sub>2</sub>O and 0.03&thinsp;ppt&thinsp;ppt<sup>−1</sup> in SF<sub>6</sub>. The mixing ratio
of N<sub>2</sub>O in archived samples is found to be 301.5±0.3&thinsp;ppb in 1980
and rises to 313.5±0.3&thinsp;ppb in 1996. The average growth rate over
this period is 0.78±0.03&thinsp;ppb&thinsp;yr<sup>−1</sup> (95&thinsp;% CI). The seasonal
amplitude is statistically robust, with a maximum anomaly of 0.3&thinsp;ppb near
April and a minimum near November of −0.4&thinsp;ppb. Measurements of N<sub>2</sub>O
match well with previously reported values for Cape Meares and other
comparable locations. The mixing ratio of SF<sub>6</sub> in analyzed samples is
found to be 0.85±0.03&thinsp;ppt in 1980 and rises to 3.83±0.03&thinsp;ppt
in 1996. The average growth rate over this period is 0.17±0.01&thinsp;ppt&thinsp;yr<sup>−1</sup> (95&thinsp;% CI). The seasonality is statistically robust and has an annual
peak amplitude of 0.04&thinsp;ppt near January and a minimum amplitude of −0.03&thinsp;ppt
near July. These are unique SF<sub>6</sub> results from this site and represent a
significant increase in the SF<sub>6</sub> data available during the 1980s and early
1990s. The mixing ratio and growth rate of SF<sub>6</sub> measured compares well
to other Northern Hemisphere measurements over this period. From these
N<sub>2</sub>O and SF<sub>6</sub> measurements, we conclude that sample
integrity is generally robust in the OHSU-PSU air archive for N<sub>2</sub>O and SF<sub>6</sub>.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Ciais, P., Sabine, C., Bala, G., Bopp, L., Brovkin, V., Canadell, J.,
Chhabra, A., DeFries, R., Galloway, J., Heimann, M., Jones, C., Le
Quéré, C., Myneni, R. B., Piao, S., and Thornton, P.: Carbon and
Other Biogeochemical Cycles, in: Climate Change 2013: The Physical Science
Basis, Contribution of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, edited by: Stocker, T. F., Qin, D., Plattner,
G.-K., Tignor, M., Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V.,
and Midgley, P. M., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 465–570, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Crutzen, P.: The influence of nitrogen oxides on the atmospheric ozone
content, Q. J. Roy. Meteor. Soc., 96,
320–325, 1970.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Cleveland, W. S. and Devlin, S. J.: Locally weighted regression: An
approach to regression analysis by local fitting, J. Am. Stat. Assoc., 83, 596–610, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Dlugokencky, E. J., Hall, B. D., Montzka, S. A., Dutton, G., Mühle, J.,
and Elkins, J. W.: Atmospheric composition: Long-lived Greenhouse Gases, in:
State of the Climate in 2017, B. Am. Meteorol. Soc., 99,
46–49, <a href="https://doi.org/10.1175/2018BAMSStateoftheClimate.1" target="_blank">https://doi.org/10.1175/2018BAMSStateoftheClimate.1</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
EDGAR, Emission Database for Global Atmospheric Research (EDGAR): European
Commission, Joint Research Centre (JRC)/Netherlands Environmental Assessment
Agency (PBL), release version 4.2., available at: <a href="http://edgar.jrc.ec.europa.eu" target="_blank">http://edgar.jrc.ec.europa.eu</a> (last access: 28 December 2018), 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Geller, L., Elkins, J., Lobert, J., Clarke, A., Hurst, D., Butler, J., and
Myers, R.: Tropospheric SF6: Observed latitudinal distribution and trends,
derived emissions and interhemispheric exchange time, Geophys. Res.
Lett., 24, 675–678, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Hall, B. D., Dutton, G. S., and Elkins, J. W.: The NOAA nitrous oxide
standard scale for atmospheric observations, J. Geophys. Res.-Atmos., 112,
D09305, <a href="https://doi.org/10.1029/2006JD007954" target="_blank">https://doi.org/10.1029/2006JD007954</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Hall, B. D., Dutton, G. S., Mondeel, D. J., Nance, J. D., Rigby, M., Butler, J. H., Moore, F. L., Hurst, D. F., and Elkins, J. W.: Improving measurements of SF<sub>6</sub> for the study of atmospheric transport and emissions, Atmos. Meas. Tech., 4, 2441–2451, <a href="https://doi.org/10.5194/amt-4-2441-2011" target="_blank">https://doi.org/10.5194/amt-4-2441-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Hall, B. D., Engel, A., Mühle, J., Elkins, J. W., Artuso, F., Atlas, E., Aydin, M., Blake, D., Brunke, E.-G., Chiavarini, S., Fraser, P. J., Happell, J., Krummel, P. B., Levin, I., Loewenstein, M., Maione, M., Montzka, S. A., O'Doherty, S., Reimann, S., Rhoderick, G., Saltzman, E. S., Scheel, H. E., Steele, L. P., Vollmer, M. K., Weiss, R. F., Worthy, D., and Yokouchi, Y.: Results from the International Halocarbons in Air Comparison Experiment (IHALACE), Atmos. Meas. Tech., 7, 469–490, <a href="https://doi.org/10.5194/amt-7-469-2014" target="_blank">https://doi.org/10.5194/amt-7-469-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Ishijima, K., Sugawara, S., Kawamura, K., Hashida, G., Morimoto, S.,
Murayama, S., Aoki, S., and Nakazawa, T.: Temporal variations of the
atmospheric nitrous oxide concentration and its <i>δ</i><sup>1</sup>5N and <i>δ</i><sup>1</sup>8O for the latter half of the 20th century reconstructed from firn air
analyses, J. Geophys. Res.-Atmos., 112, D03305, https://doi.org/10.1029/2006JD007208, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Jiang, X., Ku, W. L., Shia, R.-L., Li, Q., Elkins, J. W., Prinn, R. G., and
Yung, Y. L.: Seasonal cycle of N<sub>2</sub>O: Analysis of data, Global Biogeochem.
Cy., 21, GB1006, <a href="https://doi.org/10.1029/2006GB002691" target="_blank">https://doi.org/10.1029/2006GB002691</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Khalil, M. A. K. and Rasmussen, R. A.: Increase and seasonal cycles of
nitrous oxide in the earth's atmosphere, Tellus, 35, 161–169, 1983.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Khalil, M. A. K., Rasmussen, R. A., and Shearer, M. J.: Atmospheric nitrous
oxide: patterns of global change during recent decades and centuries,
Chemosphere, 47, 807–821, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Kovács, T., Feng, W., Totterdill, A., Plane, J. M. C., Dhomse, S., Gómez-Martín, J. C., Stiller, G. P., Haenel, F. J., Smith, C., Forster, P. M., García, R. R., Marsh, D. R., and Chipperfield, M. P.: Determination of the atmospheric lifetime and global warming potential of sulfur hexafluoride using a three-dimensional model, Atmos. Chem. Phys., 17, 883–898, <a href="https://doi.org/10.5194/acp-17-883-2017" target="_blank">https://doi.org/10.5194/acp-17-883-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Levin, I. and Hesshaimer, V.: Refining of atmospheric transport model
entries by the globally observed passive tracer distributions of 85&thinsp;krypton
and sulfur hexafluoride (SF<sub>6</sub>), J. Geophys. Res.-Atmos., 101,
16745–16755, <a href="https://doi.org/10.1029/96JD01058" target="_blank">https://doi.org/10.1029/96JD01058</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Levin, I., Naegler, T., Heinz, R., Osusko, D., Cuevas, E., Engel, A., Ilmberger, J., Langenfelds, R. L., Neininger, B., Rohden, C. v., Steele, L. P., Weller, R., Worthy, D. E., and Zimov, S. A.: The global SF<sub>6</sub> source inferred from long-term high precision atmospheric measurements and its comparison with emission inventories, Atmos. Chem. Phys., 10, 2655–2662, <a href="https://doi.org/10.5194/acp-10-2655-2010" target="_blank">https://doi.org/10.5194/acp-10-2655-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Liao, T., Camp, C., and Yung, Y.: The seasonal cycle of N<sub>2</sub>O, Geophys. Res.
Lett., 31, L17108, <a href="https://doi.org/10.1029/2004GL020345" target="_blank">https://doi.org/10.1029/2004GL020345</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Liang, Q., Stolarski, R., Douglass, A., Newman, P., and Nielsen, J.:
Evaluation of emissions and transport of CFCs using surface observations and
their seasonal cycles and the GEOS CCM simulation with emissions-based
forcing, J. Geophys. Res.-Atmos., 113, D14302, <a href="https://doi.org/10.1029/2007JD009617" target="_blank">https://doi.org/10.1029/2007JD009617</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Lueker, T., Walker, S., Vollmer, M., Keeling, R., Nevison, C., Weiss, R.,
and Garcia, H: Coastal upwelling air-sea fluxes revealed in atmospheric
observations of O<sub>2</sub>∕N<sub>2</sub>, CO<sub>2</sub>, and N<sub>2</sub>O, Geophys. Res. Lett., 30, 1292,
<a href="https://doi.org/10.1029/2002GL016615" target="_blank">https://doi.org/10.1029/2002GL016615</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Maiss, M. and Brenninkmeijer, C.: Atmospheric SF<sub>6</sub>: Trends, sources, and
prospects, Environ. Sci. Technol., 3, 3077–3086, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Maiss, M., Steele, L. P., Francey, R., Fraser, P., Langenfelds, R., Trivett,
N., and Levin, I.: Sulfur hexafluoride – a powerful new atmospheric tracer,
Atmos. Environ., 30, 1621–1629, <a href="https://doi.org/10.1016/1352-2310(95)00425-4" target="_blank">https://doi.org/10.1016/1352-2310(95)00425-4</a>, 1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Meinshausen, M., Vogel, E., Nauels, A., Lorbacher, K., Meinshausen, N., Etheridge, D. M., Fraser, P. J., Montzka, S. A., Rayner, P. J., Trudinger, C. M., Krummel, P. B., Beyerle, U., Canadell, J. G., Daniel, J. S., Enting, I. G., Law, R. M., Lunder, C. R., O'Doherty, S., Prinn, R. G., Reimann, S., Rubino, M., Velders, G. J. M., Vollmer, M. K., Wang, R. H. J., and Weiss, R.: Historical greenhouse gas concentrations for climate modelling (CMIP6), Geosci. Model Dev., 10, 2057–2116, <a href="https://doi.org/10.5194/gmd-10-2057-2017" target="_blank">https://doi.org/10.5194/gmd-10-2057-2017</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Myhre, G., Shindell, D., Bréon, F.-M., Collins, W., Fuglestvedt, J.,
Huang, J., Koch, D., Lamarque, J.-F., Lee, D., Mendoza, B., Nakajima, T.,
Robock, A., Stephens, G., Takemura, T., and Zhang, H.: Anthropogenic and
Natural Radiative Forcing, in: Climate Change 2013: The Physical Science
Basis, Contribution of Working Group I to the Fifth Assessment Report of the
Intergovernmental Panel on Climate Change, in: Stocker, T. F., Qin, D., Plattner,
G.-K., Tignor, M., Allen, S. K., Boschung, J., Nauels, A., Xia, Y., Bex, V.,
and Midgley, P. M., Cambridge University Press, Cambridge, United
Kingdom and New York, NY, USA, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Nevison, C., Kinninson, D., and Weiss, R.: Stratospheric influences on the
tropospheric seasonal cycles of nitrous oxide and chlorofluorocarbons,
Geophys. Res. Lett., 31, L20103, <a href="https://doi.org/10.1029/2004GL020398" target="_blank">https://doi.org/10.1029/2004GL020398</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Nevison, C., Mahowald, N., Weiss, R., and Prinn, R.: Interannual and
seasonal variability in atmospheric N<sub>2</sub>O, Global Biogeochem. Cy., 21, GB3017,
<a href="https://doi.org/10.1029/2006GB002755" target="_blank">https://doi.org/10.1029/2006GB002755</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Olivier, J., Van Aardenne, J., Dentener, F., Pagliari, V., Ganzeveld, L.,
and Peters, J.: Recent trends in global greenhouse gas emissions:regional
trends 1970–2000 and spatial distribution of key sources in 2000, Environ.
Sci., 2, 81–99, <a href="https://doi.org/10.1080/15693430500400345" target="_blank">https://doi.org/10.1080/15693430500400345</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Park, S., Croteau, P. Boering, K. A., Etheridge, D. M., Ferretti, D.,
Fraser, P. J., Kim, K-R., Krummel, P. B., Langenfelds, R. L., van Ommen, T.
D., Steele, L. P., and Trudinger, C. M.: Trends and seasonal cycles in the
isotopic composition of nitrous oxide since 1940, Nat. Geosci., 5,
261–265, <a href="https://doi.org/10.1038/NGEO1421" target="_blank">https://doi.org/10.1038/NGEO1421</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Patra, P. K., Takigawa, M., Dutton, G. S., Uhse, K., Ishijima, K., Lintner, B. R., Miyazaki, K., and Elkins, J. W.: Transport mechanisms for synoptic, seasonal and interannual SF<sub>6</sub> variations and “age” of air in troposphere, Atmos. Chem. Phys., 9, 1209–1225, <a href="https://doi.org/10.5194/acp-9-1209-2009" target="_blank">https://doi.org/10.5194/acp-9-1209-2009</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Prather, M. J., Holmes, C. D., and Hsu, J.: Reactive green house gas
scenarios: Systematic exploration of uncertainties and the role of
atmospheric chemistry, Geophys. Res. Lett., 39, L09803,
<a href="https://doi.org/10.1029/2012GL051440" target="_blank">https://doi.org/10.1029/2012GL051440</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Prather, M. J., Hsu, J., DeLuca, N. M., Jackman, C. H., Oman, L. D.,
Douglass, A. R., Fleming, E. L., Strahan, S. E., Steenrod, S. D., Søvde,
O. A., Isaksen, I. S. A., Froidevaux, L., and Funke, B.: Measuring and
modeling the lifetime of nitrous oxide including its variability, J.
Geophys. Res.-Atmos., 120, 5693–5705, <a href="https://doi.org/10.1002/" target="_blank">https://doi.org/10.1002/</a> 2015JD023267, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Prinn, R., Cunnold, D., Rasmussen, R., Simmonds, P., Alyea, F., Crawford,
A., Fraser, P., and Rosen, R.: Atmospheric emissions and trends of nitrous
oxide deduced from 10 years of ALE-GAGE data, J. Geophys. Res., 95,
18369–18385, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Prinn, R., Weiss, R., Fraser, P., Simmonds, P., Cunnold, D., Alyea, F.,
O'Doherty, S., Salameh, P., Miller, B. R., Huang, J., Wang, R. H. J.,
Hartley, D. E., Harth, C., Steele, L. P., Sturrock, G., Midgley, P. M., and
McCulloch, A.: A history of chemically and radiatively important gases in
air deducted from ALE/GAGE/AGAGE, J. Geophys. Res., 105, 17751–17792,
<a href="https://doi.org/10.1029/2000JD900141" target="_blank">https://doi.org/10.1029/2000JD900141</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Prinn, R. G., Weiss, R. F., Arduini, J., Arnold, T., DeWitt, H. L., Fraser, P. J., Ganesan, A. L., Gasore, J., Harth, C. M., Hermansen, O., Kim, J., Krummel, P. B., Li, S., Loh, Z. M., Lunder, C. R., Maione, M., Manning, A. J., Miller, B. R., Mitrevski, B., Mühle, J., O'Doherty, S., Park, S., Reimann, S., Rigby, M., Saito, T., Salameh, P. K., Schmidt, R., Simmonds, P. G., Steele, L. P., Vollmer, M. K., Wang, R. H., Yao, B., Yokouchi, Y., Young, D., and Zhou, L.: History of chemically and radiatively important atmospheric gases from the Advanced Global Atmospheric Gases Experiment (AGAGE), Earth Syst. Sci. Data, 10, 985–1018, <a href="https://doi.org/10.5194/essd-10-985-2018" target="_blank">https://doi.org/10.5194/essd-10-985-2018</a>, 2018.

</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Ray, E., Moore, F. L., Elkins, J. W., Rosenlof, K. H., Laube, J. C.,
Röckmann, T., Marsh, D. R., and Andrews, A. E.: Quantification of the
SF6 Lifetime Based on Mesospheric Loss Measured in the Stratospheric Polar
Vortex, J. Geophys. Res.-Atmos., 122, 4626–4638,
<a href="https://doi.org/10.1002/2016JD026198" target="_blank">https://doi.org/10.1002/2016JD026198</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Rice, A. L., Butenhoff, C. L., Teama, D. G.,
Röger, F. H., Khalil, M. A. K., and Rasmussen, R. A.: Atmospheric
methane isotopic record favors fossil sources flat in 1980s and 1990s with
recent increase, P. Natl. Acad. Sci. USA, 113, 10791–10796, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Rigby, M., Mühle, J., Miller, B. R., Prinn, R. G., Krummel, P. B., Steele, L. P., Fraser, P. J., Salameh, P. K., Harth, C. M., Weiss, R. F., Greally, B. R., O'Doherty, S., Simmonds, P. G., Vollmer, M. K., Reimann, S., Kim, J., Kim, K.-R., Wang, H. J., Olivier, J. G. J., Dlugokencky, E. J., Dutton, G. S., Hall, B. D., and Elkins, J. W.: History of atmospheric SF<sub>6</sub> from 1973 to 2008, Atmos. Chem. Phys., 10, 10305–10320, <a href="https://doi.org/10.5194/acp-10-10305-2010" target="_blank">https://doi.org/10.5194/acp-10-10305-2010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Saikawa, E., Prinn, R. G., Dlugokencky, E., Ishijima, K., Dutton, G. S., Hall, B. D., Langenfelds, R., Tohjima, Y., Machida, T., Manizza, M., Rigby, M., O'Doherty, S., Patra, P. K., Harth, C. M., Weiss, R. F., Krummel, P. B., van der Schoot, M., Fraser, P. J., Steele, L. P., Aoki, S., Nakazawa, T., and Elkins, J. W.: Global and regional emissions estimates for N<sub>2</sub>O, Atmos. Chem. Phys., 14, 4617–4641, <a href="https://doi.org/10.5194/acp-14-4617-2014" target="_blank">https://doi.org/10.5194/acp-14-4617-2014</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Schmidt, M., Glatzel-Mattheier, H., Sartorius, H., Worthy, D. E., and Levin,
I.: Western European N<sub>2</sub>O emissions: A top-down approach based on atmospheric
observations, J. Geophys. Res., 106, 5507–5515, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Snider, D. M., Venkiteswaran, J. J., Schiff, S. L., and Spoelstra, J.: From the
ground up: Global nitrous oxide sources are constrained by stable isotope
values, PLOS ONE, 10, E0118954, <a href="https://doi.org/10.1371/journal.pone.011895" target="_blank">https://doi.org/10.1371/journal.pone.011895</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Stocker, B. D., Roth, R., Joos, F., Spahni, R., Steinacher, M., Zeahle, S.,
Bouwman, L., and Prentice, I. C.: Multiple greenhouse-gas feedbacks from the
land biosphere under future climate change scenarios, Nat. Clim. Change,
3, 666–672, <a href="https://doi.org/10.1038/nclimate1864" target="_blank">https://doi.org/10.1038/nclimate1864</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Sulfur Hexafluoride (SF<sub>6</sub>) WMO Scale, available at: <a href="https://www.esrl.noaa.gov/gmd/ccl/sf6_scale.html" target="_blank">https://www.esrl.noaa.gov/gmd/ccl/sf6_scale.html</a>, last
access: 17 June 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Vollmer, M. K., Young, D., Trudinger, C. M., Mühle, J., Henne, S., Rigby, M., Park, S., Li, S., Guillevic, M., Mitrevski, B., Harth, C. M., Miller, B. R., Reimann, S., Yao, B., Steele, L. P., Wyss, S. A., Lunder, C. R., Arduini, J., McCulloch, A., Wu, S., Rhee, T. S., Wang, R. H. J., Salameh, P. K., Hermansen, O., Hill, M., Langenfelds, R. L., Ivy, D., O'Doherty, S., Krummel, P. B., Maione, M., Etheridge, D. M., Zhou, L., Fraser, P. J., Prinn, R. G., Weiss, R. F., and Simmonds, P. G.: Atmospheric histories and emissions of chlorofluorocarbons CFC-13 (CClF<sub>3</sub>), ΣCFC-114 (C<sub>2</sub>Cl<sub>2</sub>F<sub>4</sub>), and CFC-115 (C<sub>2</sub>ClF<sub>5</sub>), Atmos. Chem. Phys., 18, 979–1002, <a href="https://doi.org/10.5194/acp-18-979-2018" target="_blank">https://doi.org/10.5194/acp-18-979-2018</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Wilson, C., Chipperfield, M. P., Gloor, M., and Chevallier, F.: Development of a variational flux inversion system (INVICAT v1.0) using the TOMCAT chemical transport model, Geosci. Model Dev., 7, 2485–2500, <a href="https://doi.org/10.5194/gmd-7-2485-2014" target="_blank">https://doi.org/10.5194/gmd-7-2485-2014</a>, 2014.
</mixed-citation></ref-html>--></article>
