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  <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 GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-15-1901-2015</article-id><title-group><article-title>An estimation of the <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O ratio of UT/LMS ozone based on artefact CO in air sampled during CARIBIC
flights</article-title>
      </title-group><?xmltex \runningtitle{${}^{{18}}$O\,/\,${}^{{16}}$O ratio of UT/LMS ozone}?><?xmltex \runningauthor{S. Gromov and C. A. M. Brenninkmeijer}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Gromov</surname><given-names>S.</given-names></name>
          <email>sergey.gromov@mpic.de</email>
        <ext-link>https://orcid.org/0000-0002-2542-3005</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Brenninkmeijer</surname><given-names>C. A. M.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Max Planck Institute for Chemistry, Mainz, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">S. Gromov (sergey.gromov@mpic.de)</corresp></author-notes><pub-date><day>24</day><month>February</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>4</issue>
      <fpage>1901</fpage><lpage>1912</lpage>
      <history>
        <date date-type="received"><day>25</day><month>July</month><year>2014</year></date>
           <date date-type="rev-request"><day>15</day><month>August</month><year>2014</year></date>
           <date date-type="rev-recd"><day>5</day><month>January</month><year>2015</year></date>
           <date date-type="accepted"><day>23</day><month>January</month><year>2015</year></date>
           
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015.html">This article is available from https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015.html</self-uri>
<self-uri xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015.pdf">The full text article is available as a PDF file from https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015.pdf</self-uri>


      <abstract>
    <p>An issue of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-driven artefact production of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the upper
troposphere/lowermost stratosphere (UT/LMS) air analysed in the CARIBIC-1
project is being discussed. By confronting the CO mixing and isotope ratios
obtained from different analytical instrumentation, we (i) reject
natural/artificial sampling and mixing effects as possible culprits of the
problem, (ii) ascertain the chemical nature and quantify the strength of the
contamination, and (iii) demonstrate successful application of the isotope
mass-balance calculations for inferring the isotope composition of the
contamination source. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of the latter indicate that the
oxygen is very likely being inherited from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values
hint at reactions of trace amounts of organics with stratospheric O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
that could have yielded the artificial CO. While the exact contamination
mechanism is not known, it is clear that the issue pertains only to the
earlier (first) phase of the CARIBIC (Civil Aircraft for the Regular Investigation of the
atmosphere Based on an Instrument Container) project. Finally, estimated UT/LMS ozone
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values are lower than those observed in the stratosphere
within the same temperature range, suggesting that higher pressures
<?xmltex \hack{\mbox\bgroup}?>(240–270 hPa)<?xmltex \hack{\egroup}?> imply lower isotope fractionation controlling the local
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Accurate determination of the atmospheric carbon monoxide (CO) content based
on the collection of air samples depends on the preservation of the mixing
ratio of CO inside the receptacle, from the point of sampling to the moment
of physicochemical analysis in a laboratory. A well known example in our
field of research is the filling of pairs of glass flasks at South Pole
Station for analysis at NOAA in Boulder, Colorado, USA (Novelli et al.,
1998). There, the duplicate air sampling allowed for a degree of quality
control, which in view of the long transit times, especially during polar
winter, was a perhaps not perfect, but certainly a practical measure. Here we
deal with a different case: using aircraft-based collection of very large air
samples rendered duplicate sampling unpractical, yet analyses could be
performed soon after the sampling had taken place because of the proximity of
the aircraft's landing location to the laboratory involved. A presumption of
the analytical integrity of the process was that the growth of CO in
receptacles is gradual and takes its time. We remember Thomas Henry Huxley's
statement, “The great tragedy of science – the slaying of a beautiful
hypothesis by an ugly fact”; it turned out, however, that for air we
collected in stainless steel tanks in the upper troposphere/lowermost
stratosphere (UT/LMS), higher CO values were measured in the laboratory than
measured in situ during the collection of these air samples. Moreover,
measurement of the stable oxygen isotopic composition of CO from these tanks
revealed additional isotopic enrichments in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O of 10 ‰ or
more. It was soon realised that this phenomenon was due to the formation of
CO in these tanks and/or possibly in the sampling system and inlet tubing
used, by reactions involving ozone (Brenninkmeijer et al., 1999).</p>
      <p>Unexpectedly high <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O ratios in stratospheric ozone
(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were discovered by Konrad Mauersberger using a balloon-borne mass
spectrometer (Mauersberger, 1981), which has triggered a series of
theoretical and experimental studies on atmospheric O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> heavy isotope
enrichments (see, e.g. Schinke et al. (2006) for a review). In view of the
advances in theoretical and laboratory studies on the isotopic composition of
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> atmospheric measurements are welcome, they do however form a
challenge. In the stratosphere, O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> number concentrations are high, but
the remoteness of the sampling domain is a problem. In the troposphere, low
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> number densities are the main obstacle, as indicated by few
experiments performed to date (Krankowsky et al., 1995; Johnston and Thiemens,
1997; Vicars and Savarino, 2014). Nevertheless, recent analytical
improvements, namely the use of an indirect method of reacting atmospheric
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with a substrate that can be analysed for the isotopic composition of
the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-derived oxygen (Vicars et al., 2012), has greatly improved our
ability to obtain information on the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isotopic composition.</p>
      <p>Although the increase of CO concentrations in air stored in vessels is a well
recognised problem, to our knowledge a specific O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-related process has
not been reported yet. Here we discuss this phenomenon and turn its
disadvantage into an advantage, namely that of obtaining an estimate of the
oxygen isotopic composition of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the UT/LMS, an atmospheric domain not
yet covered by specific measurements. The air samples we examine in this
study were collected onboard a passenger aircraft carrying an airfreight
container with analytical and air/aerosol sampling equipment on long distance
flights from Germany to South India and the Caribbean within the framework of
the CARIBIC (Civil Aircraft for the Regular Investigation of the
atmosphere Based on an Instrument Container,
<uri>http://www.caribic-atmospheric.com</uri>) project.</p>
</sec>
<sec id="Ch1.S2">
  <title>Experimental and results</title>
<sec id="Ch1.S2.SS1">
  <title>Whole air sampling</title>
      <p>CARIBIC-1 (Phase #1, abbreviated hereafter “C1”) was operational from
November 1998 until April 2002 using a Boeing 767-300 ER operated by LTU
International Airlines (Brenninkmeijer et al., 1999). Using a whole air
sample (WAS) collection system, 12 air samples were collected per flight
(of 8–10 h duration at cruise altitudes of 10–12 km) in stainless steel
tanks for subsequent laboratory analysis of the mixing ratios (i.e. mole
fractions) of various trace gases, including <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>14</mml:mn></mml:msup></mml:math></inline-formula>CO. Large air samples
were required in view of the ultra-low number density of this mainly
cosmogenic tracer (10–100 molecules cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> standard temperature and
pressure (STP), about 0.4–4 amol mol<inline-formula><mml:math 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>). Hereinafter STP denotes dry
air at 273.15 K, 101 325 Pa. Each C1 WAS sample (holding 350 L of air
STP) was collected over 15–20 min intervals representing the number
density-weighted average of the compositions encountered along flight
segments of about 250 km. The overall uncertainty of the measured WAS CO is
less than <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 % for the mixing ratio and
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 ‰ / <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.2 ‰ for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO)/<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO), respectively (Brenninkmeijer, 1993;
Brenninkmeijer et al., 2001). Isotope compositions are reported throughout
this manuscript using the so-called delta value
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>i</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mo>(</mml:mo><mml:mi>i</mml:mi></mml:msup><mml:mi>R</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mi>i</mml:mi></mml:msup><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">st</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>) relating the ratios <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> of rare
(<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C, <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O or <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O) over abundant isotopes of interest to the
standard ratios <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>st</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The latter are Vienna Standard Mean Ocean Water
(VSMOW) for <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O (Gonfiantini, 1978; Coplen, 1994) and
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O (Assonov and Brenninkmeijer, 2003), and Vienna Pee Dee
Belemnite (VPDB) for <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O (Craig, 1957), respectively. As we
mention above, the oxygen isotope composition of the CO present in these WAS
samples was corrupted, in particular when O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels were as high as
100–600 nmol mol<inline-formula><mml:math 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>.</p>
      <p>CARIBIC-2 (Phase #2, referred to as “C2”)
started operation in December 2004 with a Lufthansa Airbus A340-600
fitted with a new inlet system and air sampling lines, including
perfluoroalkoxy alkane (PFA) lined tubing for trace gas intake
(Brenninkmeijer et al., 2007). No flask CO mixing/isotope ratio measurements
are performed in C2.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>On-line instrumentation</title>
      <p>In addition to the WAS collection systems, both C1 and C2 measurement setups
include different instrumentation for on-line detection of [CO] and [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]
(hereinafter the squared brackets [] denote the mixing ratio of the
respective species). In situ CO analysis in C1 is done using a gas
chromatography (GC)-reducing gas analyser which provides measurements every
130 s with an uncertainty of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 nmol mol<inline-formula><mml:math 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> (Zahn et al., 2000).
In C2, a vacuum ultraviolet fluorescence (VUV) instrument with lower
measurement uncertainty and higher temporal resolution of
<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 nmol mol<inline-formula><mml:math 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 2 s (Scharffe et al., 2012) is employed.
Furthermore, the detection frequency for O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios has also
increased, viz. from 0.06 Hz in C1 to 5 Hz in C2 (Zahn et al., 2002, 2012).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p><bold>(a)</bold> Distribution of CO mixing ratios as a function of concomitant
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios measured by CARIBIC in the LMS ([O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] &gt; 300 nmol mol<inline-formula><mml:math 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 shaded area is the two-dimensional histogram of the C2
measurements (all C2 data obtained until June 2013) counted in 5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1 nmol mol<inline-formula><mml:math 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> size [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> [CO] bins, thus darker areas emphasise
greater numbers of particular CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> pairs observed. Small symbols
denote the original C1 in situ measurements (black) and corrected for the
artefacts (red); the C1 WAS analyses (11 of total 408) are shown with large
symbols. Thin and thick step lines demark the inner and outer statistical
fences (ranges outside which the data points are considered mild or extreme
outliers, see text) of the C2 data, respectively. The dashed curve
exemplifies compositions expected from the linear mixing of very different
(e.g. tropospheric and stratospheric) end members. <bold>(b)</bold> Statistics on CO
mixing ratios from C1 and C2 data shown in box-and-whisker diagrams for
samples clustered in 20 nmol mol<inline-formula><mml:math 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> O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bins (whiskers represent
9th / 91st percentiles). <bold>(c)</bold> Sample statistic for each CARIBIC
data set (note the C2 figures scaled down by a factor of 1000). <bold>(d)</bold> Estimates
of the C1 in situ CO contamination strength [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] as a function of
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] (solid line) obtained by fitting the difference <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[CO]
between the C2 and C1 in situ [CO] (small symbols) as detailed in Appendix A
(Eq. A2). Step line shows the <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>[CO] for the statistical averages
(the shaded area equals the height of the inner statistical fences of the C2
data). Large symbols denote the estimates of [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] in the C1 WAS data
(slight variations vs. the in situ data are due to the sample mixing
effects, see Sect. 3). Colour denotes the respective C1 WAS
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) (note that typically 6–7 in situ measurements correspond
to one WAS sample).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f01.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <title>Results</title>
      <p>When comparing the CO mixing ratios in relation to those of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> for C1
and C2, differences are apparent in the LMS, where C2 [CO] values are
systematically lower. This is illustrated in Fig. 1a which presents the
LMS CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution of the C2 in situ measurements overlaid with the
C1 in situ and WAS data. The entire C1 CO/O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data set is presented in
Fig. 2. For the in situ CO data sets we calculated the statistics (Fig. 1b) of the samples with respective O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios
clustered in 20 nmol mol<inline-formula><mml:math 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> bins, i.e. the median and spread of [CO] as a function of [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]
analysed. The interquartile range (IQR) is used in the current analysis as a
robust measure of the data spread instead of the standard deviation. The LMS
data exhibit large [CO] variations for [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] between 300 and
400 nmol mol<inline-formula><mml:math 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 primarily reflect pronounced seasonal variations
in the NH tropospheric CO mixing ratio. With increasing [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>], [CO]
decreases to typical stratospheric values, and its spread reduces to mere
3.5 nmol mol<inline-formula><mml:math 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 less, as [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] surpasses 500 nmol mol<inline-formula><mml:math 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>.
Despite the comparable spread in C1 and C2 [CO], from 400 nmol mol<inline-formula><mml:math 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>
of [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] onwards the C1 CO mixing ratios start to level off, with no
samples below 35 nmol mol<inline-formula><mml:math 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> having been detected, whereas the C2
levels continuously decline. By the 570–590 nmol mol<inline-formula><mml:math 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> O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bin,
C1 [CO] of <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mn>39.7</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>1.3</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>0.7</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> nmol mol<inline-formula><mml:math 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> contains some extra
14 nmol mol<inline-formula><mml:math 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> compared to <inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mn>25.6</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>1.1</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo><mml:mn>1.2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> nmol mol<inline-formula><mml:math 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> typical for
C2 values. Overall, at [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] above 400 nmol mol<inline-formula><mml:math 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
conspicuously high [CO] is marked in about 200 in situ C1 samples, of which
158 and 69 emerge as statistically significant mild and extreme outliers,
respectively, when compared against the number of C2 samples
(<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). The conventions here follow Natrella (2003),
i.e. <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1.5 and <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 IQR ranges define the inner and outer statistical
fences (ranges outside which the data points are considered mild and extreme
outliers) of the C2 [CO] distribution in every O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bin, respectively. The
statistics include the samples in bins with average [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] of
420–620 nmol mol<inline-formula><mml:math 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>. None of C1 CO at [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] above
560 nmol mol<inline-formula><mml:math 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> agrees with the C2 observations. Because the CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
distribution cannot have changed over the period in question, we find that an
apparent relative excess CO of up to 55 % justifies and investigation
into sampling artefacts and calibration issues.</p>
      <p>Unnatural elevations in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) from WAS measurements are also evident, as shown in
Figs. 3 and 4. The large <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) elevations that reach beyond
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>16 ‰ are found to be proportional to the concomitant O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
mixing ratios (denoted with colour in Fig. 3) and are more prominent at lower [CO].
Lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) values, however, are expected based on our knowledge
of UT/LMS CO sources (plus their isotope signatures) and available in situ
observations (Fig. 3, shown with triangles), as elucidated by Brenninkmeijer
et al. (1996) (hereafter denoted as “B96”). That is, the greater the
proportion of stratospheric CO, the greater its fraction stemming from
methane oxidation with a characteristic <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of 0 ‰ or
lower (Brenninkmeijer and Röckmann, 1997). This occurs because the sink of CO
at ruling UT/LMS temperatures proceeds more readily than its production, as the
reaction of hydroxyl radical (OH) with CO, being primarily
pressure-dependent, is faster than the temperature-sensitive reaction of OH
with CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>. Furthermore, as the lifetime of CO quickly decreases with
altitude, transport-mixing effects take the lead in determining the vertical
distributions of [CO] and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) above the tropopause, hence
their mutual relationship. This is seen from the B96 data at [CO] below 50
nmol/mol that line-up in a near linear relationship towards the end members
with lowest <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O ratios. These result from the largest share
of the <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O-depleted photochemical component and extra depletion caused
by the preferential removal of C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O in reaction with OH (fractionation
about <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>11 ‰ at pressures below 300 hPa, Stevens et al., 1980;
Röckmann et al., 1998b).</p>
      <p>We are confident that the enhancements of C1
C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O originate from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, whose large enrichment in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O (above
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60 ‰ in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, Brenninkmeijer et al., 2003) is typical
and found transferred to other atmospheric compounds (see Savarino and
Morin (2012) for a review). In Fig. 3 it is also notable that not only the LMS
compositions are affected but elevations of (3–10) ‰ from the bulk
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) values are present in more tropospheric samples with [CO]
of up to 100 nmol mol<inline-formula><mml:math 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>. These result from the dilution of the least
affected CO-rich tropospheric air by CO-poor (however substantially
contaminated) stratospheric air, sampled into the same WAS tank. Such
sampling-induced mixing renders an unambiguous determination of the artefact source isotope signature rather difficult, because neither mixing nor isotope ratios of the admixed air portions are known sufficiently well (see
below).</p>
      <p>Differences between the WAS and in situ measured [CO] – a possible
indication that the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) contamination pertains specifically to
the WAS data – average at
<inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>(WAS – in situ)<inline-formula><mml:math display="inline"><mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mo>=</mml:mo><mml:mn>5.3</mml:mn><mml:mo>±</mml:mo><mml:mn> 0.2</mml:mn></mml:mrow></mml:math></inline-formula> nmol mol<inline-formula><mml:math 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 display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 standard deviation of
the mean, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>408</mml:mn></mml:mrow></mml:math></inline-formula>). These differences also happen to be random with respect to any operational
parameter or measured characteristic in C1, i.e. irrespective of CO or
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> abundances. The above-mentioned discrepancy remained after several
calibrations between the two systems had been performed, and likely results
from the differences in the detection methods, drifts of the calibration
standards used (see details in Brenninkmeijer et al., 2001) and a short-term
production of CO in the stainless steel tanks during sampling. The large
spread of <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>(WAS – in situ) of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3.5 nmol mol<inline-formula><mml:math 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 display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of the population) ensues from the fact that the in situ
sampled air corresponds to (2–4) % of the concomitantly sampled WAS
volume, as typically 6–7 in situ collections of 5 s were made throughout one
tank collection of 17–21 min. The integrity of the WAS CO is further
affirmed by the unsystematic distribution of the artefact compositions among
tanks (in contrast to that for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in C1 discussed by
Assonov et al., 2009). Overall, the WAS and in situ measured CO mixing ratios
correlate extremely well (adj. <inline-formula><mml:math 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>0.972</mml:mn></mml:mrow></mml:math></inline-formula>, slope of 0.992 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.008
(<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>408</mml:mn></mml:mrow></mml:math></inline-formula>). However, both anomalies in [CO] and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) manifest clear but complex influences of the concomitant
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]. That is, the C1 in situ and WAS [CO] and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) data
very likely evidence artefacts pertaining to the same O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-driven effect.
Below we discuss and quantify these influences.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>(accompanies Fig. 1) Carbon monoxide and ozone mixing ratios measured
in C1. Small black symbols denote the C1 in situ measurements (<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> = 12 753). The C1 WAS analyses (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>408</mml:mn></mml:mrow></mml:math></inline-formula>) are shown with large symbols;
colour denotes the concomitant <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) measurements. Thin and
thick step lines denote the inner and outer statistical fences of the C2
data, respectively. The dashed curve exemplifies compositions expected from
the linear mixing of tropospheric and stratospheric end members (see caption
to Fig. 1 for details).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f02.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O isotope composition of CO as a function of its
reciprocal mixing ratio. Triangles present the data from the remote SH UT/LMS
obtained by Brenninkmeijer et al. (1996) (B96). Colour refers to the
concomitantly observed O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> abundances; note the extremely low [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]
encountered by B96 in the Antarctic “ozone hole” conditions. Filled and
hollow circles denote the original and corrected (as exemplified by the
dashed arrow) C1 WAS data, respectively, with the symbol size scaling
proportional to the estimated contamination magnitude (see text).</p></caption>
          <?xmltex \igopts{width=233.312598pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f03.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Measured C1 WAS <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) (not corrected for artefacts) as a
function of concomitant O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio. Symbol colour denotes the
artefact CO component (integral [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] per each WAS); symbol size scales
proportionally to the WAS CO mixing ratio corrected for artefacts (see Sect. 3 for details).</p></caption>
          <?xmltex \igopts{width=233.312598pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f04.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>Discussion</title>
      <p>Three factors may lead to the (artefact) distributions seen for C1 in situ
[CO] at LMS O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, namely:
<list list-type="custom"><list-item><label>i.</label><p>Strong (linear) natural
mixing, such as enhanced stratosphere–troposphere exchange (STE), when a [CO]
outside the statistically expected range results from the integration of air
having dissimilar ratios of the tracers' mixing ratios,
viz. [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [CO]. For example, mixing of two air parcels in a
16 % : 84 % proportion (by moles of air) with typical
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [CO] of 700 : 24 (stratospheric) and 60 : 125
(tropospheric), respectively, yields an integrated composition with
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [CO] of 598 : 40, which indeed corresponds to C1 data (this
case is exemplified by the mixing curve in Fig. 1). Nonetheless, occurrences
of rather high stratospheric CO mixing ratios (in our case, 40 nmol mol<inline-formula><mml:math 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> at
the concomitant [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] of 500–600 nmol mol<inline-formula><mml:math 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> compared to the
typical 24–26 nmol mol<inline-formula><mml:math 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>) are rare. For instance, a deep STE similar
to that described by Pan et al. (2004) was observed by C2 only once (cf. the
outliers at [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] of 500 nmol mol<inline-formula><mml:math 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 Fig. 1), whereas the C1
outliers were exclusively registered in some 12 flights during 1997–2001. No
relation between these outliers and the large-scale [CO] perturbation due to
extensive biomass burning in 1997/1998 (Novelli et al., 2003) is established,
otherwise elevated CO mixing ratios should manifest themselves at lower
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] as well. Other tracers detected in CARIBIC provide supporting
evidence against such strongly STE-mixed air having been captured by C1. That
is, the binned distributions for water vapour and de-trended N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O mixing
ratios (not shown here) are similar for C1 and C2. Whereas the small relative
variations in atmospheric [N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O] merely confirm matching [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]
distributions in CARIBIC, the stratospheric [H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O] distributions witness
no [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O] values corresponding to those of the C1 outliers,
suggesting the latter being unnaturally low.</p></list-item><list-item><label>ii.</label><p>Mixing effects can also
occur artificially, originating from sampling peculiarities or data
processing. Since the CARIBIC platform is not stationary, about 5 s long
sampling of an in situ air probe in C1 implies integration of the air
compositions encountered along some hundred metres, owing to the high
aircraft speed. This distance may cover a transect between tropospheric and
stratospheric filaments of different compositions. The effect of such
“translational mixing” can be simulated by averaging the sampling data with
higher temporal frequency over longer time intervals. In this respect, the
substantially more frequent CO data in C2 (sampling interval &lt; 1 s)
were artificially averaged over a set of increasing intervals to reckon
whether the long sampling period in C1 could be the culprit for skewing its
CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution. As a result, the original C2 data and their
averages (equivalent to the C1 CO sample injection time) differ negligibly,
as do the respective [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [CO] values. Our simulations of the
“translational mixing” effects confirm that the actual C2 CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
distribution in the region of interest ([O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] of
540–620 nmol mol<inline-formula><mml:math 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>) remains insensitive to averaging intervals of up
to 300 s. Furthermore, a very strong artificial mixing with an averaging
interval of at least 1200 s (comparable to C1 WAS sampling time) is required
to yield the averages from the C2 data with [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] : [CO] characteristic
for the C1 outliers.</p></list-item><list-item><label>iii.</label><p>In view of the above, it is unlikely that any
natural or artificial mixing processes are involved in the stratospheric [CO]
discrepancies seen in C1. We therefore conclude that the sample contamination
in C1 occurred prior to the probed air reaching the analytical
instrumentation and WAS sampling tanks in the container, since clearly
elevated stratospheric CO mixing ratios are common to WAS and in situ data.
Two more indications, viz. growing [CO] discrepancy with increasing O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
abundance, and the strong concomitant signal in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO), suggest
that O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>-mediated production of CO took place. Furthermore, by confronting
the C1 and C2 [CO] measurements in a regression analysis (detailed in
Appendix A), we quantify the artefact component CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula> as chiefly a
function of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio as<disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn>5.19</mml:mn><mml:mo>±</mml:mo><mml:mn>0.12</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>[</mml:mo><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">nmol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p><p>which is equivalent to
8–18 nmol mol<inline-formula><mml:math 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> throughout the respective [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] range of
400–620 nmol mol<inline-formula><mml:math 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> (see Fig. 1d). Subtracting this artefact signal
yields the corrected in situ C1 CO–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distribution conforming to that
of C2 (cf. red symbols in Fig. 1a).</p></list-item></list></p>
      <p>Importantly, since we can quantify the contamination strength using only the
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio, the continuous in situ C1 [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] data allow
estimating the integral artefact CO component in each WAS sample and, if the
isotope ratio of contaminating O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is known, to derive the initial
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO). The latter, as it was mentioned above, is subject to
strong sample-mixing effects, which is witnessed by <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO)
outliers even at relatively high [CO] up to 100 nmol mol<inline-formula><mml:math 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>.
Accounting for such cases is, however, problematic since it is necessary to
distinguish the proportions of the least modified (tropospheric) and
significantly affected (stratospheric) components in the resultant WAS sample
mix. Since this information is not available, we applied an ad hoc
correction approach, as described in the following. This approach is capable
of determining the contamination source (i.e. O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> isotope signature as
well.</p>
<sec id="Ch1.S3.SS1">
  <title>Contamination isotope signatures</title>
      <p>We use the differential mixing model (MM, originally known as the
“Keeling plot”) in combination with the parameterisation of the artefact CO
component (Eq. 1) to derive the isotopic composition of the latter. This
approach makes no assumptions on the isotope signatures of CO in the air
portions mixed in a given WAS tank. The MM parameterises the admixing of the
portion of artefact CO to the WAS sample with the “true” initial composition,
as formulated below:

                <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:mtext>CO</mml:mtext><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mtr><mml:mtd/><mml:mtd/></mml:mtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mtext>CO</mml:mtext><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mtext>CO</mml:mtext><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            <?xmltex \hack{\noindent}?>where indices c and t distinguish the components pertaining to the
estimated contamination and “true” composition
sought (i.e. [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>] and <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, respectively. Here the
contamination strength [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] is derived by integrating Eq. (1) using the
in situ C1 [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] data for each WAS sample. By rewriting the above
equation with respect to the isotope signature of the analysed CO, one
obtains

                <disp-formula id="Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mtext>CO</mml:mtext><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>/</mml:mo><mml:mo>[</mml:mo><mml:mtext>CO</mml:mtext><mml:mo>]</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          which signifies that linear regression of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO) as a function of the
reciprocal of [CO] yields the estimated contamination signature <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> at ([CO])<inline-formula><mml:math 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 display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> 0 when invariable “true” compositions
([CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>], <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are taken (the Keeling plot detailing these
calculations is shown in Fig. 5). We therefore apply the MM described by Eq. (4) to the subsets of samples picked according to the same reckoned
[CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>] (within a <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 nmol mol<inline-formula><mml:math 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> window, <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>).
Such selection, however, may be insufficient: due to the strong sampling
effects in the WAS samples (see previous Section), it is possible to
encounter samples that integrate different air masses to the same [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>]
but rather different average <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The solution in this case
is to refer to the goodness of the MM regression fit, because the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
intrinsically measures the linearity of the regressed data, i.e. closeness
of the “true” values in a regarded subset of samples, irrespective of
underlying reasons for that.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Keeling plot of the data used in the calculations with the mixing
model (MM). The C1 WAS isotope CO measurements are shown with symbols, solid
lines denote the linear regressions through the various sets of samples
selected by the MM (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>80</mml:mn></mml:mrow></mml:math></inline-formula> sets are plotted). Colours refer to the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C (red) and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (green) data, colour intensity
indicates the coefficient of determination (<inline-formula><mml:math 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:mrow></mml:math></inline-formula> of each regression,
respectively. Darker colours denote higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values, with maxima of
0.92 for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and 0.54 for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C data, respectively. The
inferred contamination signatures <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are found at
([CO])<inline-formula><mml:math 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 display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> 0. Regression uncertainties are shown in Fig. 6. Note
that because different subsets of samples contain same data points, some of
the symbols are plotted over (i.e. not all symbols contributing to a
particular regression case may be seen).</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Results of the regression calculation with the MM. Shown with symbols
are the contamination source isotope signatures <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> as a
function of the respective coefficient of determination (<inline-formula><mml:math 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:mrow></mml:math></inline-formula>. Colour
denotes the number of samples in each subset selected. Solid and dashed lines
present the best guess <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 standard deviation of the mean for the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> estimates. Dashed
circles mark the estimates obtained at highest <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> for
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> regression (above 0.9). See text for
details.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f06.pdf"/>

        </fig>

      <p>Higher <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values thus imply higher consistency of the estimate, as
demonstrated in Fig. 6 showing the calculated <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for
[CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>] below 80 nmol mol<inline-formula><mml:math 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> as a function of the regression
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. The latter decreases with greater [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:math></inline-formula>] (i.e. larger sample
subset size, since tropospheric air is more often encountered) and,
correspondingly, larger variations in <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">t</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Ultimately, at
lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> the inferred <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> converge to values
slightly above zero expected for uncorrelated data, i.e. C1
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) tropospheric average. A similar relationship is seen for
the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values (they converge around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28 ‰),
however, there are no consistent estimates found (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is generally below
0.4). Since such is not the case for <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, the MM is not
sufficiently sensitive to the changes caused by the contamination, which
implies that the artefact CO <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C should be within the range of the
“true” <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) values. Interestingly, the MM is rather
responsive to the growing fraction of the CH<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>-derived component in CO
with increasing [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>], as the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value of
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>(47.2 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 5.8) ‰ inferred at <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> above 0.4 is characteristic
for the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of methane in the UT/LMS. It is important to note that we
have accounted for the biases in the analysed C1 WAS <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO)
expected from the mass-independent isotope composition of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (see
details in Appendix B).</p>
      <p>We derive the “best-guess” estimate of the admixed
CO <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O signature at <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> = +(92.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.3) ‰,
which agrees with the other MM results obtained at <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>
above 0.75. Taking the same subsets of samples, the concomitant <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C
signature matches <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> = <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>(23.3 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.6) ‰, indeed at the upper end of the expected LMS
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) variations of <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>(25<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31) ‰. Because of that, the
MM is likely insensitive to the changes in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) caused by the
contamination (the corresponding <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values are below 0.1). Upon the
correction using the inferred <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value, the C1 WAS
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) data agree with B96 (shown with red symbols in Fig. 3).
That is, variations in the observed C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O are driven by (i) the
seasonal/regional changes in the composition of tropospheric air and by (ii) the
degree of mixing or replacement of the latter with the stratospheric
component that is less variable in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O. This is seen as stretching of
the scattered tropospheric values ([CO] above 60 nmol mol<inline-formula><mml:math 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>) towards
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) of around <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 ‰ at [CO] of 25 nmol mol<inline-formula><mml:math 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. The corrected C1 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) data (shown in Fig.7) are
found to be in a <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1 ‰ agreement with the observations by B96,
except for several deep stratospheric samples ([CO] below
40 nmol mol<inline-formula><mml:math 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 latter were encountered during “ozone hole”
conditions and carried extremely low <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) values, which was
attributed to the reaction of methane with available free Cl radicals
(Brenninkmeijer et al., 1996).</p>

<table-wrap id="Ch1.T1"><caption><p>Ozone <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O isotope ratios from literature and this
study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <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="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Domain</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> [K]</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> [hPa]</oasis:entry>  
         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) [‰]</oasis:entry>  
         <oasis:entry colname="col5">Rem.</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1">Stratosphere</oasis:entry>  
         <oasis:entry colname="col2">190–210</oasis:entry>  
         <oasis:entry colname="col3">13–50</oasis:entry>  
         <oasis:entry colname="col4">83–93 (&lt; 3)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">UT/LMS</oasis:entry>  
         <oasis:entry colname="col2">220–235</oasis:entry>  
         <oasis:entry colname="col3">240–270</oasis:entry>  
         <oasis:entry colname="col4">89–95 (8)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">84–88 (6)</oasis:entry>  
         <oasis:entry colname="col5">T</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">91–98 (9)</oasis:entry>  
         <oasis:entry colname="col5">TC</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2"/>  
         <oasis:entry colname="col3"/>  
         <oasis:entry colname="col4">112–124 (17)</oasis:entry>  
         <oasis:entry colname="col5">C</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Laboratory</oasis:entry>  
         <oasis:entry colname="col2">190–210</oasis:entry>  
         <oasis:entry colname="col3">67</oasis:entry>  
         <oasis:entry colname="col4">87–97 (6)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">220–235</oasis:entry>  
         <oasis:entry colname="col3">67</oasis:entry>  
         <oasis:entry colname="col4">102–110 (6)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">220–235</oasis:entry>  
         <oasis:entry colname="col3">240–270</oasis:entry>  
         <oasis:entry colname="col4">95–103 (n/a)</oasis:entry>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p>Notes: values in parentheses denote the average of the estimates' standard errors.
The expected O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> isotope composition on the VSMOW scale is calculated from enrichment <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula>
reported relative to O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> using <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mtext>VSMOW</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mtext>VSMOW</mml:mtext></mml:msub><mml:msup><mml:mo>+</mml:mo><mml:mn>18</mml:mn></mml:msup><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi mathvariant="normal">Air</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mtext>VSMOW</mml:mtext></mml:msub><mml:msup><mml:mo>×</mml:mo><mml:mn>18</mml:mn></mml:msup><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:math></inline-formula>(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mrow><mml:mi mathvariant="normal">Air</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>].<?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Observations (see Krankowsky et al. (2007) and refs. therein), lowermost values (19–25 km).
Quoted temperature range is derived by matching measured <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and laboratory data (see note <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> This study, C1 observations (10–12 km). Letters denote the estimates derived using the data from Bhattacharya et al. (2008) and assuming only terminal
(T), only central (C) and equiprobable terminal and central (TC) O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> atoms transfer to the artefact CO. <?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Calculated using the laboratory KIE temperature
dependence data summarised by Janssen et al. (2003). <?xmltex \hack{\\}?><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> Calculated assuming a pressure dependence of the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation KIE similar to that
measured at 320 K (see Guenther et al. (1999) and refs. therein).</p></table-wrap-foot></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O and <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O / <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>16</mml:mn></mml:msup></mml:math></inline-formula>O isotope composition of
CO measured in C1. Triangles present the data from the remote SH UT/LMS obtained
by Brenninkmeijer et al. (1996) (B96). Colour refers to the concomitantly
observed O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> abundances; note the extremely low [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] encountered by
B96 in the Antarctic ozone-hole conditions. Filled and hollow circles denote
the original and corrected (as exemplified by the dashed arrow) C1 WAS data,
respectively, with the symbol size scaling proportional to the estimated
contamination magnitude (see text for details).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://www.atmos-chem-phys.net/15/1901/2015/acp-15-1901-2015-f07.pdf"/>

          <?xmltex \vspace*{8mm}?>
        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <?xmltex \opttitle{Estimate of $\delta^{{{18}}}$O(O${}_{{{3}}})$}?><title>Estimate of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></title>
      <p>The contamination <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O signature inferred here (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> = +(92.0 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8.3) ‰) likely pertains to O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and
is comparable to <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values measured in the stratosphere
at temperatures about 30 K lower than those encountered in the UT/LMS by C1 (see
Table 1 for comparison). If no other factors are involved (see below), this
discrepancy in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> should be attributed to the local
conditions, i.e. the higher pressures (typically 240–270 hPa for C1
cruising altitudes) at which O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> was formed. Indeed, the molecular
lifetime (the period through which the species' isotope reservoir becomes
entirely renewed, as opposed to the “bulk” lifetime) of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> encountered
along the C1 flight routes is estimated on the order of minutes to hours at
daylight (H. Riede, Max Planck Institute for Chemistry, 2010), thus the
isotope composition of the photochemically regenerated O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> resets quickly
according to the local conditions. Virtual absence of sinks, in turn, leads
to “freezing” of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value during night in the UT/LMS.
Verifying the current <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> estimate against the kinetic
data, in contrast to the stratospheric cases, is problematic. The laboratory
studies on O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation to date have scrutinised the concomitant kinetic
isotope effects (KIEs) as a function of temperature at only low pressures
(67 mbar); the attenuation of the KIEs with increasing pressure was studied only
at room temperatures (see Table 1, also Brenninkmeijer et al. (2003) for
references). A rather crude attempt may be undertaken by assuming that the
formation KIEs become attenuated at higher pressures in a similar
(proportional) fashion to that measured at 320 K, however applied to the
nominal low-pressure values reckoned at (220–230) K. A decrease in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of about (6–8) ‰ is expected from such
calculation (cf. last row in Table 1), yet accounting for a mere
one-half of the (13–15) ‰ discrepancy between the stratospheric
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p>
      <p>Lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values could result from possible isotope
fractionation accompanying the production of the artefact CO. Although not
quantifiable here, oxygen KIEs in the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> CO conversion chain
cannot be ruled out, recalling that the intermediate reaction steps are not
identifiable and the artefact CO represents at most 4 % of all O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
molecules. Furthermore, the yield <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of CO from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> may be
lower than unity (see details in Appendix A). On the other hand, the
inference that the contamination strength primarily depends on [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]
indicates that the kinetic fractionation may have a greater effect on the
carbon isotope ratios of the artefact CO produced (the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> values) in contrast to the oxygen ones. That is
because all reactive oxygen available from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> becomes converted to CO,
whilst the concomitant carbon atoms are drawn from a virtually unlimited pool
whose apparent isotope composition is altered by the magnitude of the
<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>C KIEs.</p>
      <p>Besides KIEs, selectivity in the transfer of O atoms from
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to CO affects the resulting <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value. The
terminal O atoms in O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are enriched with respect to the molecular (bulk)
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> composition when the latter is above <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>70 ‰ in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O (Janssen, 2005; Bhattacharya et al., 2008), therefore an
incorporation of only central O atoms into the artefact CO molecules should
result in a reduced apparent <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value. Such exclusive
selection is, however, less likely from the kinetic standpoint and was not
observed in available laboratory studies (see Savarino et al. (2008) for a
review). For instance, Röckmann et al. (1998a) established the evidence
of direct O transfer from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to the CO produced in alkene ozonolysis. A
reanalysis of their results (in light of findings of Bhattacharya et
al. (2008)) suggests that usually the terminal atoms of the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> molecule
become transferred (their ratio over the central ones changes from the bulk
<inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> for various species). Considering the alternatives of the O
transfer in our case (listed additionally in Table 1), the equiprobable
incorporation of the terminal and central O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> atoms into CO should result
in the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> value in agreement with the “crude” estimate
based on laboratory data given above.</p>
      <p>Furthermore, the conditions that supported the reaction of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (or its derivatives) followed by the
production of CO are vague. A few hypotheses ought to be scrutinised here.
First, a fast O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> CO conversion must have occurred, owing to short
(i.e. fraction of a second) exposure time of the probed air to the
contamination. Accounting for the typical C1 air sampling conditions (these
are as follows: sampled air pressure of 240–270 hPa and temperature of 220–235 K
outboard to 275–300 K inboard, sampling rate of
12.85 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> mol s<inline-formula><mml:math 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> corresponding to 350 L STP sampled in 1200 s, inlet/tubing
volume gauged to yield exposure times of 0.01 to 0.1 s due to variable air
intake rate, [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] of 600 nmol mol<inline-formula><mml:math 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 overall reaction rate
coefficient (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (A3) from Appendix A) must be on the order of
(6 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>15</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>/<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> molecules<inline-formula><mml:math 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> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, where
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the exposure time. Assuming the case of a gas-phase CO
production from a recombining O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> derivative and an unknown carbonaceous
compound X, the reaction rate coefficient for the latter (<inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> in Eq. (A2) in
Appendix A) must be unrealistically high, at least 6 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> molec<inline-formula><mml:math 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> cm<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math 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 <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> = 1/100 s. This number
decreases proportionally with growing <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and [X], if we take less
strict exposure conditions. Nonetheless, in order to provide the amounts of
artefact CO we detect, a minimum mixing ratio of 20 nmol mol<inline-formula><mml:math 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> (or up
to 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g of C per flight) of X is required, which is not available in
the UT/LMS from the species readily undergoing ozonolysis, e.g. alkenes.</p>
      <p>Second, a more complex heterogeneous chemistry on the inner surface of the
inlet or supplying tubing may be involved. Such can be the tracers' surface
adsorption, (catalytic) decomposition of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and its reaction with
organics or with surface carbon that also may lead to the production of CO
(Oyama, 2000). Evidence exists for the dissociative adsorption of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on
the surfaces with subsequent production of the reactive atomic oxygen species
(see, e.g. Li et al., 1998, also Oyama, 2000). It is probable that
sufficient amounts of organics have remained on the walls of the sampling
line, exposed to highly polluted tropospheric air, to be later broken down by
the products of the heterogeneous decomposition of the ample stratospheric
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. Unfortunately, the scope for a detailed quantification of intricate
surface effects in the C1 CO contamination problem is very limited.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <title>Conclusions</title>
      <p>Recapitulating, the in situ measurements of CO and O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> allowed us
to unambiguously quantify the artefact CO production from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> likely in
the sample line of the CARIBIC-1 instrumentation. Strong evidence of that is
provided by the isotope CO measurements. We demonstrate the ability of the
simple mixing model (“Keeling-plot” approach) to single out the
contamination isotope signatures even in the case of a large sampling-induced
mixing of the air with very different compositions. Obtained as a collateral
result, the estimate of the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the UT/LMS appears
adequate, calling, however, for additional laboratory data (e.g. the
temperature-driven variations of the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> formation KIE at pressures above
100 hPa) for a more unambiguous verification.</p>
</sec>

      
      </body>
    <back><app-group><app id="App1.Ch1.S1">
  <title>Contamination assessment</title>
      <p>We quantify the C1 CO contamination strength (denoted [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>], obtained by
discriminating the C1 outliers from respective C2 data) in a sequence of
regression analyses. We foremost ascertain that no other species or
operational parameter (e.g. temperature, pressure, flight duration, season,
latitude, time of day, etc.) measured in C1 appear to determine
(e.g. systematically correlate with) [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>], except that for
[O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]. We hypothesise therefore that a production of artefact CO
molecules was initiated by O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (via either its decomposition or a
reaction with an unknown educt) and proceeded with incorporation of carbon
(donated by some carbonaceous species X) and oxygen (donated by O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or
its derivatives) atoms into final CO. Despite that neither the actual
reaction chain nor its intermediates are known, it is possible to describe
the artefact component CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula> produced (hereinafter curly brackets
{} denote number densities) as

              <disp-formula id="App1.Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mtext>CO</mml:mtext><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo mathvariant="italic">}</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mtext>O</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mi>v</mml:mi><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where the yield <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, a diagnostic quantity, relates the amount of
artefact CO molecules produced to the total number of O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> molecules
consumed in the system, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> denotes the reaction time (period
throughout which sampled air is exposed to contamination), and <inline-formula><mml:math display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> stands for
the overall rate of the reaction chain. The latter, being regarded
macroscopically (empirically), is parameterised to account for the order of
reaction chain rate with respect to hypothesised reactants (McNaught and
Wilkinson, 1997) as

              <disp-formula id="App1.Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>v</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>=</mml:mo><mml:mi>k</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo mathvariant="italic">{</mml:mo><mml:mtext>X</mml:mtext><mml:msup><mml:mo mathvariant="italic">}</mml:mo><mml:mi>K</mml:mi></mml:msup><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mtext>O</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo mathvariant="italic">}</mml:mo><mml:mi mathvariant="italic">κ</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> are the partial orders with respect to X and
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> number densities, respectively, and <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is the rate coefficient. Here
it is implied that changes to {X} and
{O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>} are negligible throughout the exposure
time <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (typically &lt; 0.1 s for C1 sample line). As stated
above, we find that variations in {CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>}
correlate exclusively with variations in {O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>}, hence Eq. (A2) can be reduced by assuming constancy
of {X} and <inline-formula><mml:math display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> to

              <disp-formula id="App1.Ch1.E3" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mtext>O</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo mathvariant="italic">}</mml:mo><mml:mi mathvariant="italic">κ</mml:mi></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

        Here, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>{X}<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi>K</mml:mi></mml:msup></mml:math></inline-formula> (often
referred to as pseudo-first-order or “observed” rate coefficient)
quantifies the rate of reaction chain exclusively propelled by O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>.
Finally, using Eqs. (A1) and (A3), the artefact {CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>} component is expressed as

              <disp-formula id="App1.Ch1.E4" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo mathvariant="italic">}</mml:mo><mml:mo>=</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:mo mathvariant="italic">{</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msup><mml:mo mathvariant="italic">}</mml:mo><mml:mi mathvariant="italic">κ</mml:mi></mml:msup><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where the constant proportionality factor <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> integrates the influence of the
unknown (and as we explicate below, likely invariable) {X}, <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p>Equation (A4) defines the regression expression using which we attempt to fit the
values of {CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>} as a function of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula>,
{O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>} and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>. In the first regression
iteration we keep both <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> as free parameters, which provides
best approximation at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn>2.06</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38, suggesting reactions
of two O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> molecules in case elementary reactions constitute the reaction
mechanism, or two elementary steps involving O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or its derivatives in
case a stepwise reaction is involved (McNaught and Wilkinson, 1997). In a
subsequent regression iteration we set <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, which yields
better (as opposed to the first iteration) estimate of <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> of (5.19 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12) <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> mol nmol<inline-formula><mml:math 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 display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>, adj. <inline-formula><mml:math 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>0.83</mml:mn></mml:mrow></mml:math></inline-formula>, red. <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>4.0</mml:mn></mml:mrow></mml:math></inline-formula>; here the value of <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> in mole fraction
units is derived using the air density at C1 sampling conditions for relating
fitted [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] and observed [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>]<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. At last, we ascertain that
the best regression results are obtained particularly at <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>,
as indicated by the regression statistic (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> that
asymptotically improves when a set of regressions with neighbouring (i.e. below and
above 2) integer values of <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> is compared. The low
uncertainty (within <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>3 %) associated with the estimate of <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> confirms
an exclusive dependence of the contamination source on the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing
ratio, as well as much similar reaction times <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The regressed value
of [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] as a function of [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] is presented in Fig. 1d (solid
line). It is possible to constrain the overall yield <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> of CO
molecules in the artefact source chain to be between 0.5 and 1, comparing the
magnitude of [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] to the discrepancy between the [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] measured in
C1 and C2 (<inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20 nmol mol<inline-formula><mml:math 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>, taken equal to the [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] bin size
owing to the N<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and H<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> distributions matching
well between the data sets). Lower <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mrow><mml:msub><mml:mtext>O</mml:mtext><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values, otherwise, should
have resulted in a noticeable (i.e. greater than 20 nmol mol<inline-formula><mml:math 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>)
decrease in the C1 O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios with respect to the C2 levels.</p>
</app>

<app id="App1.Ch1.S2">
  <?xmltex \opttitle{Corrections to measured $\delta^{{{13}}}$C(CO) values due to the
oxygen MIF}?><title>Corrections to measured <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) values due to the
oxygen MIF</title>
      <p>Atmospheric O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> carries an anomalous isotope composition (or
mass-independent fractionation, MIF) with a substantially higher relative
enrichment in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O over that in <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O (above <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>25 ‰ in
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1)/(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1)<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi mathvariant="italic">β</mml:mi></mml:msup><mml:mo>-</mml:mo></mml:mrow></mml:math></inline-formula>1,
<?xmltex \hack{\mbox\bgroup}?><inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn>0.528</mml:mn></mml:mrow></mml:math></inline-formula><?xmltex \hack{\egroup}?>) when compared to the majority of terrestrial oxygen
reservoirs that are mass-dependently fractionated (i.e. with <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
of 0 ‰) (see Brenninkmeijer et al. (2003) and refs. therein). CO
itself also has an unusual oxygen isotopic composition, possessing a moderate
tropospheric MIF of around <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5 ‰ in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) induced by
the sink KIEs in reaction of CO with OH (Röckmann et al., 1998b, 2002) and a minor source effect from the ozonolysis of
alkenes (Röckmann et al., 1998a; Gromov et al., 2010). A substantial
contamination of CO by O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> oxygen induces proportional changes to
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) that largely exceed its natural atmospheric variation. On
the other hand, the MIF has implications in the analytical determination of
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO), because the presence of C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O species interferes with
the mass-spectrometric measurement of the abundances of <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>CO possessing
the same basic molecular mass (<inline-formula><mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo>/</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula> is 45). When inferring the exact
C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O / C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>18</mml:mn></mml:msup></mml:math></inline-formula>O ratio in the analysed sample is not possible, analytical
techniques usually involve assumptions (e.g. mass-dependently fractionated
compositions or a certain non-zero <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value) with respect to the
C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O abundances (Assonov and Brenninkmeijer, 2001). In effect for the C1
CO data, the artefact CO produced from O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> had contributed with
unexpectedly high C<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup></mml:math></inline-formula>O abundances that led to the overestimated
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) analysed. The respective bias <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is
quantified using

              <disp-formula id="App1.Ch1.E5" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>b</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn>7.26</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where the actual <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) value is approximated from the
natural CO MIF signal <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the typical O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> MIF
composition <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as

              <disp-formula specific-use="align" content-type="numbered"><mml:math display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.E6"><mml:mtd/><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msup><mml:mo>(</mml:mo><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>n</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>)</mml:mo><mml:msup><mml:mo>+</mml:mo><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>c</mml:mtext></mml:msub><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>]</mml:mo><mml:mo>)</mml:mo><mml:mo>(</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>]</mml:mo><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Here [CO] and [CO<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>] denote the analysed CO mixing ratio and contamination magnitude, respectively, used in the contamination assessment
(see Appendix A, Eq. (A4)) and in calculations with the MM (see Sect. 3.1).
For the purpose of the current estimate it is sufficient to take
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>n</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5 ‰ representing equilibrium enrichments
expected in the remote free troposphere and UT/LMS. For the O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> MIF
signature <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>17</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>c</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the value of <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>30 ‰ (the average
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(O<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> expected from the kinetic laboratory data at
conditions met along the C1 flight routes, see Sect. 3.2 and Table 1) is
adopted. The coefficient that proportionates <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>b</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in Eq. (B1) is derived by linearly regressing the
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) biases (simulated using the calculation apparatus detailed
by Assonov and Brenninkmeijer, 2001) as a function of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO)
varying within a (0–30) ‰ range for the CO with initially
unaccounted MIF (e.g. the sample is assumed to be mass-dependently
fractionated). It therefore quantifies some extra <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>(0.726 <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.003) ‰ in the analysed <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) per every
<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 ‰ of <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) excess. The most contaminated C1 WAS
CO samples at [O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>] above 300 nmol mol<inline-formula><mml:math 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> are estimated to bear
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn>17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O(CO) of +(6–12) ‰ corresponding to fractions of
(0.10–0.27) of the artefact CO in the sample. Accordingly, the reckoned
<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) biases span (0.5–0.9) ‰. Although not large,
these well exceed the <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn>13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C(CO) measurement precision of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.1 ‰ and were corrected for, and therefore are taken into account
in the calculations with the MM presented in Sect. 3.1.</p>
</app>
  </app-group><ack><title>Acknowledgements</title><p>The authors are indebted to Claus Koeppel, Dieter Scharffe and Andreas
Zahn for their work and expertise on the carbon monoxide and ozone
measurements in C1 and C2. Hella Riede is acknowledged for comprehensive
estimates of the species lifetimes along the CARIBIC flight routes. We are
grateful to Patrick Jöckel, Taku Umezawa, Angela K. Baker, Emma C. Leedham,
Sergey Assonov, the anonymous reviewer and Jan Kaiser for the helpful
discussions and comments on the manuscript.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The service charges for this open access publication<?xmltex \hack{\\}?>have been covered by the Max Planck Society.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by:  J. Kaiser<?xmltex \hack{\newline}?></p></ack><ref-list>
    <title>References</title>

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