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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-22-13817-2022</article-id><title-group><article-title>Significant enhancements of the mesospheric Na layer bottom below 75 km observed by a full-diurnal-cycle lidar at Beijing (40.41<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
116.01<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), China</article-title><alt-title>Significant enhancements of the mesospheric Na layer bottom below 75 km​​​​​​​</alt-title>
      </title-group><?xmltex \runningtitle{Significant enhancements of the mesospheric Na layer bottom below 75\,km​​​​​​​}?><?xmltex \runningauthor{Y. Xia et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Xia</surname><given-names>Yuan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4213-5208</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Jiao</surname><given-names>Jing</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Nozawa</surname><given-names>Satonori</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4359-6524</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Cheng</surname><given-names>Xuewu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Wang</surname><given-names>Jihong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Shi</surname><given-names>Chunhua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Du</surname><given-names>Lifang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Li</surname><given-names>Yajuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Zheng</surname><given-names>Haoran</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Li</surname><given-names>Faquan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2 aff6">
          <name><surname>Yang</surname><given-names>Guotao</given-names></name>
          <email>gtyang@nssc.ac.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Electronic Engineering, Nanjing Xiaozhuang University,
Nanjing 211171, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>State Key Laboratory of Space Weather, National Space Science Center,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Beijing 100190, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Space–Earth Environmental Research, Nagoya University, Nagoya 464-8601, Japan</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Innovation Academy for Precision Measurement Science and Technology,<?xmltex \hack{\break}?> Chinese Academy of Sciences, Wuhan 430071, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>School of Atmospheric Sciences, Nanjing University of Information
Science and Technology,<?xmltex \hack{\break}?> Nanjing 210044, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Hainan National Field Science Observation and Research Observatory for Space Weather, National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Guotao Yang (gtyang@nssc.ac.cn)</corresp></author-notes><pub-date><day>26</day><month>October</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>20</issue>
      <fpage>13817</fpage><lpage>13831</lpage>
      <history>
        <date date-type="received"><day>12</day><month>February</month><year>2022</year></date>
           <date date-type="rev-request"><day>28</day><month>February</month><year>2022</year></date>
           <date date-type="rev-recd"><day>23</day><month>May</month><year>2022</year></date>
           <date date-type="accepted"><day>15</day><month>September</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e232">Based on the full-diurnal-cycle sodium (Na) lidar observations at Beijing (40.41<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.01<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), we report pronounced
downward extensions of the Na layer bottomside to below 75 km near
mid-December 2014. Considerable Na atoms were observed even as low as
<inline-formula><mml:math id="M5" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km, where Na atoms are short-lived. More interestingly, an unprecedented Na density of <inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2500 atoms cm<inline-formula><mml:math id="M7" 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> around 75 km
was observed on 17 December 2014. Such high Na atoms concentration was 2
orders of magnitude larger than that normally observed at the similar
altitude region. The variations of Na density on the layer bottom were found to be accompanied by warming temperature anomalies and considerable
perturbations of minor chemical species (H, O, O<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) in the upper
mesosphere. Different from the previous reported metal layer bottom
enhancements mainly contributed by photolysis after sunrise, these
observational results suggest more critical contributions were made by the
Na neutral chemical reactions to the Na layer bottom extensions reported
here. The time–longitudinal variations of background atmospheric parameters
in the upper mesosphere and stratosphere from global satellite observations
and ERA reanalysis data indicated that the anomalous structures observed
near the lidar site in mid-December 2014 were associated with planetary
wave (PW) activities. The anomalies of temperature and O<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> perturbation
showed opposite phase in the altitude range of 70–75 and
35–45 km. This implied that the vertical coupling between the
mesosphere and stratosphere, possibly driven by the interactions of PW
activities with background atmosphere and modulation of gravity wave (GW)
filtering by stratospheric wind, contributed to the perturbations of
background atmosphere. Furthermore, the bottom enhancement on 17 December
2014 was also accompanied by clear wavy signatures in the main layer. The
strong downwelling regions are likely due to the superposition of tide and
GW, suggesting the wave-induced adiabatic vertical motion of the air parcel
contributed greatly to the formation of the much stronger Na layer bottom
enhancement on 17 December 2014. These results provide a clear
observational evidence for the Na layer bottom response to the
planetary-scale atmospheric perturbations in addition to tide and GW through affecting the chemical balance. The results of this paper also have
implications for the response of the metal layer to vertical coupling
between the lower atmosphere and the mesosphere.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e307">Metallic layers in the mesosphere and lower thermosphere (MLT) region are
good tracers for studying atmospheric dynamics and photochemistry. The
neutral sodium (Na) layer is generally observed in altitude range of
80–110 km. Different from the usually gentle upper edge, the
absolute value of Na density vertical gradient around the lower edge is
relatively large, and Na atoms concentration sharply decreases below 80 km
where Na atoms are extremely short-lived (Xu and Smith, 2003). This is
mainly because most of the neutral metal atoms below 80 km are oxidized by
O<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and finally converted to reservoir species (mainly NaHCO<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>)
through a series of chemical reactions (Plane, 2004; Plane et al., 2015).
NaHCO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is eventually removed mainly through dimerization and the
permanent attachment of the Na species onto meteoric smoke particles.</p>
      <p id="d1e337">Na layer observations over a full diurnal cycle enable the investigations on
the diurnal variation of Na density and the role of tidal wave modulations
in the Na diurnal and semidiurnal variations (States and Gardner, 1999;
Clemesha et al., 2002; Yuan et al., 2012b, 2014). On the bottom side of the
Na layer, photochemical reactions are recognized as playing important roles in
the Na diurnal variation (Plane et al., 1999; Yuan et al., 2019). Photolysis
and neutral chemical reactions can convert NaHCO<inline-formula><mml:math id="M13" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> back to Na atoms on
the Na layer bottom, but the latter are greatly decelerated by the sharp
drop of the concentrations of atomic O and H below 80 km (Plane et al.,
2015).</p>
      <p id="d1e349">Considerable increases in Na density on the layer underside near 80 km after
sunrise were previously reported by Yuan et al. (2019). The dominant
contribution of solar radiation-induced photolysis of the major reservoir
species NaHCO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> on the daytime Na layer bottom enhancement was suggested
by combining with simulation by Whole Atmosphere Community Climate Model
with Na chemistry (WACCM–Na) (Marsh et al., 2013). It is worth mentioning
that the diurnal variation on the Na layer bottom is generally not as
pronounced as observed on the Fe layer bottom. For instance, daytime Na
density below 80 km is generally 2 orders of magnitudes lower than that
around the main layer peak (States and Gardner, 1999; Yuan et al., 2019),
while Fe density around its daytime lower edge below 75 km can reach to more
than 10 % of the layer peak density, as reported in Yu et al. (2012) and
Viehl et al. (2016). Besides, during daytime, considerable Fe atoms were
observed as low as <inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km, several kilometers lower than the
generally observed lower edge of Na layer. Sometimes, the increase of Na
density around 80 km is even within its natural variability on the layer
bottom. Yuan et al. (2019) suggested that faster density increase of Fe than
Na on the layer bottom after sunrise is mainly due to the much higher rate
coefficients of photolysis of FeOH (determined to be
<inline-formula><mml:math id="M16" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(FeOH) <inline-formula><mml:math id="M17" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (6 <inline-formula><mml:math id="M18" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3) <inline-formula><mml:math id="M19" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M20" 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> s<inline-formula><mml:math id="M21" 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> by Viehl et al., 2016) compared with that
of NaHCO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M23" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>(NaHCO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M25" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.3 <inline-formula><mml:math id="M26" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> according to Self and Plane, 2002). In addition, Na atoms have a higher
rate of oxidation by O<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and a lower rate of liberation from the main
reservoir species by reaction with H than Fe atoms (Plane et al., 2015),
which could further contribute to the less significant diurnal variation on
the Na layer underside.</p>
      <p id="d1e494">In this paper, we report significant enhancements of the Na layer below 75 km observed in mid-December 2014 by a full-diurnal-cycle Na lidar at
Beijing (40.41<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.01<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). Na atoms concentration
was greatly enhanced in the altitude range of 70–75 km, where
Na atoms generally have an extremely short lifetime. Of greater interest is the
observation of an unprecedented Na bottom enhancement with <inline-formula><mml:math id="M32" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2500 atoms cm<inline-formula><mml:math id="M33" 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> around 75 km on 17 December 2014. Such large Na density is comparable to the peak density of the normal main layer between 80 and 105 km. The variation of the Na layer bottom is inconsistent with that of
solar zenith angle, implying that other mechanisms, instead of photolysis,
make a more critical contribution. The possible formation mechanisms for the
significant Na density enhancements on the layer bottom between 70 and 75 km
are discussed combined with the results of background atmospheric
parameters from global satellite observations, a nearby meteor radar, and
reanalysis data.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Instrument and data</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Na lidar</title>
      <p id="d1e549">The broadband Na resonant fluorescence lidar of the Chinese Meridian Project in
Yanqing, Beijing (40.41<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.01<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) permits
full-diurnal continuous observation of the Na layer when weather is permitted.
By utilizing narrowband Faraday anomalous dispersion optical filters (FADOFs)
in the lidar receivers, the strong background light during the daytime can
be effectively suppressed (Chen et al., 1996). The spatial and temporal
resolution of raw data were 96 m and 33.3 s (corresponding to 1000 laser
pulses integrated to produce a profile), respectively. The raw data were
further integrated within 15 min and a Hanning window filtering with 960 m
full width at half maximum (FWHM) was employed in height. The main
parameters of the lidar system can be found in the published papers (Wang, 2010; Jiao et al., 2015; Xia et al., 2020). The diurnal operations of
Na lidar have been conducted from April 2014, and more than 4500 h of
observational data were collected covering four seasons. In this study, the
Na lidar observational data in December 2014 were used.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>TIMED/SABER satellite, meteor radar, and reanalysis data</title>
      <p id="d1e579">In order to investigate possible mechanisms for the unusual Na layer bottom
enhancements below 75 km, we used the measurement results of atmospheric
temperature and Na-chemistry-related atmospheric minor species (e.g., H, O,
O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) from the Sounding of Atmosphere using Broadband Emission Radiometry
(SABER) onboard Thermosphere, Ionosphere, and Mesosphere Energetics Dynamics
(TIMED) satellite (Russell et al., 1999). TIMED satellite was launched
on December 2001, and SABER instrument measurements can provide vertical
profiles of atmospheric parameters, e.g., temperature, pressure,
geopotential height, volume mixing ratios (VMRs) of the trace species
O<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, CO<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, O, and H with an interval of <inline-formula><mml:math id="M40" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.4 km. In general, two sampling profiles can be obtained in 1 d for a
given site. In this study, we analyzed the SABER data (H, O, and O<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) in
December 2014 within <inline-formula><mml:math id="M42" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M43" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> latitude
(35–45<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) and longitude (110–120<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) of the Na lidar
location, and compared to the zonal mean values within the latitude range of
35–45<inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The atmospheric parameters in different longitudes
within 35–45<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N were also used to analyze their longitudinal
variations (data source: <uri>http://saber.gats-inc.com</uri>, last access: 15 May 2022; v2.0; Level 2A).</p>
      <p id="d1e698">The zonal wind data in MLT region (70–110 km) from a meteor radar
(40.3<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.2<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) near the lidar site as well as the
stratospheric zonal wind from ERA-Interim reanalysis data of the European
Center for Medium-Range Weather Forecasts (ECMWF) were also used. The meteor
radar is operated by the Institute of Geology and Geophysics, Chinese
Academy of Sciences (IGGCAS) (Yu et al., 2013). The zonal wind data obtained
from meteor radar have a resolution of 2 km in altitude and 1 h in time.
ERA-Interim is a global atmospheric reanalysis that is available from 1 January 1979 to 31 August 2019. It covers 37 pressure levels from 1000 to 1 hPa and can provide four time points with a step of 6 h. In this study, we
selected a grid with a resolution of 3<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (latitude) <inline-formula><mml:math id="M52" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (longitude). ERA-Interim data were downloaded through ECMWF at
<uri>https://www.ecmwf.int/en/forecasts/datasets/archive-datasets/</uri> (last access: 15 May 2022).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Observational results</title>
      <p id="d1e757">Figure 1a and c shows the local time and height evolution of Na density at
logarithmic scale with temporal resolution of 1 h and height resolution of
960 m. The <inline-formula><mml:math id="M54" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis represents the date in December 2014. The white sectors
represent that there are no valid observational data. The red dotted curves
represent the variations of solar zenith angle. From the contour plots in
Fig. 1, we can clearly see nearly regular daytime extensions near 80 km
during almost all the available observational days. As the daytime increase
of Na atoms density on the layer bottom is relatively low, it could be
easily overlooked when plotted with a linear scale (States and Gardner,
1999). Compared to the results observed in autumn from a similar middle
latitude (41.8<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 111.8<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) by Yuan et al. (2019), the
bottom enhancements of Na layer around 80 km presented in Fig. 1 are more
apparent. This is most likely due to the warmer mesopause in winter months,
which can accelerate the neutral chemical reactions converting the metal
reservoirs back to the metal atoms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e787"><bold>(a, b)</bold> The time–height evolution of Na density and the
corresponding temporal variation of the ratio of Na density averaged in the
altitude range of 70–75 km to that within 70–120 km on 3–9 December 2014. <bold>(c, d)</bold> The same but on 12–18 December 2014. The solar zenith angle is plotted with red dotted curves in <bold>(a)</bold> and <bold>(c)</bold>. The two black dashed lines in <bold>(a)</bold> and <bold>(c)</bold> denote 80 and 75 km, respectively.</p></caption>
        <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f01.png"/>

      </fig>

      <p id="d1e813">Noteworthy is the much more significant bottom enhancements below 75 km
observed in mid-December (i.e., on 14, 17, and 18 December; there are data
gaps during 15–16 December), as can be seen in Fig. 1a and c. The
pronounced Na bottom enhancements between 70 and 75 km on 14, 17, and 18 December are also shown in Fig. 1b and d by the temporal variation of the
ratio of Na density averaged within 70–75 km to that within 70–120 km. The most intriguing result appears in the early morning of 17 December when Na atom density around 75 km even reaches up to the same order of magnitude as the peak density of the Na main layer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e819"><bold>(a)</bold> Contours of Na density versus local time and altitude observed from <inline-formula><mml:math id="M57" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 21:00 LT on 16 December to <inline-formula><mml:math id="M58" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16:00 LT on
18 December 2014. The time resolution is 15 min, and altitude resolution is
960 m. <bold>(b)</bold> Comparison of Na density profiles averaged at 09:00–09:30 LT on 17 December (red solid line), and averaged during daytime (07:00–17:00 LT, black dotted line) and nighttime (17:00–07:00 LT, blue dashed line) in December 2014. <bold>(c)</bold> Comparison of Na density profiles on 17 December (red curve) with those on 2 December (blue curve) and 29 December (black curve). The
horizontal dotted lines are their respective detection limits, whose values
from small to large are <inline-formula><mml:math id="M59" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15, 19, 31 cm<inline-formula><mml:math id="M60" 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>.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f02.png"/>

      </fig>

      <p id="d1e870">Figure 2a shows the Na density contour in time–altitude over about 43 h from
<inline-formula><mml:math id="M61" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 21:00 LT on 16 December to <inline-formula><mml:math id="M62" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 16:00 LT on 18 December
2014 in a linear scale. The variation of the solar zenith angle is also
plotted with a red dashed line. It can be seen that the constant density line
of 100 cm<inline-formula><mml:math id="M63" 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> (white dashed line) on the Na layer bottom moves downward
from <inline-formula><mml:math id="M64" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 80 km before 04:00 LT to <inline-formula><mml:math id="M65" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 71.5 km around
09:15 LT on 17 December then it oscillates at this lower altitude until
<inline-formula><mml:math id="M66" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 17:00 LT when it begins to recover upward to above 75 km. The
constant density line of 1000 cm<inline-formula><mml:math id="M67" 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> (pink solid line) on the layer
bottom shows a similar downward movement in the early morning of 17 December and reached its lowest altitude at <inline-formula><mml:math id="M68" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km around 09:15 LT, however it rapidly recovered upward by over 5 km at around 11:00 LT.
Figure 2b displays the vertical profile of Na number density averaged at
09:00–09:30 LT on 17 December (red solid line), along with the averaged
nocturnal and daytime Na profiles in December 2014 (blue dashed and black
dotted lines, respectively). It clearly shows the pronounced Na density
enhancement below 80 km on 17 December. The Na density around 75 km reaches
to <inline-formula><mml:math id="M69" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2500 cm<inline-formula><mml:math id="M70" 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>, which is nearly 2 orders of magnitude
larger than the daytime mean value of this month at a similar altitude. This
implies interesting and complicated atmospheric physical and chemical
processes. In order to further clarify the very significant bottom
enhancement on 17 December in Fig. 2c, we also compared the Na density
profile on 17 December (red curve) with those on 2 December (blue curve) and
29 December (black curve), which can represent the cases in early and late
December, respectively. The Na density profiles in Fig. 2c are also the
results averaged at 09:00–09:30 LT for each day and plotted in logarithmic
coordinates. The dotted lines are their respective detection limits that are
given by 1.5 times of the standard deviation of the background noise (Gao et
al., 2015). The detection limit for the density profile on 17 December  is
<inline-formula><mml:math id="M71" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15 cm<inline-formula><mml:math id="M72" 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>. The altitude difference between 17 December
and the other 2 d is as large as <inline-formula><mml:math id="M73" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6.2 km for the density
of 100 cm<inline-formula><mml:math id="M74" 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>.</p>
      <p id="d1e998">In the early morning of December 18, Na density increase on the layer
underside below 75 km can also be seen, but it is evident from Fig. 2a
that the bottom enhancement is less intense as compared to the previous day
(17 December). It is noted that the Na main layer is also very different
between the two adjacent days. The Na layer observations between 22:00 LT on
16 December and 12:00 LT on 17 December shows an apparent double-peak structure with downward phase propagation. The first peak which appears around 22:00 LT
near 92 km descends at a rate of <inline-formula><mml:math id="M75" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5 m s<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The second peak
appears around 04:00 LT and 95 km, and also shows a similar downward
propagation phase speed. The strong bottom extension in the morning of
17 December follows well the downward propagation trend of the first peak in
the main layer, but its peak density rapidly decreases below 80 km.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e1028">The Na layer observational results presented in Sect. 3 reveal more
significant bottom extensions as low as <inline-formula><mml:math id="M77" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km in
mid-December 2014 (i.e., 14, 17, and 18 December, as shown in Fig. 1)
compared to the normal results observed on other days in December. Another
noteworthy feature is the striking bottom enhancement with an unprecedented
density of <inline-formula><mml:math id="M78" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2500 cm<inline-formula><mml:math id="M79" 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> around 75 km in the morning of
17 December.</p>
      <p id="d1e1057">Theories and model simulations of the metal layer (Cox et al., 2001; Plane,
2004; Plane et al., 2015) indicated that the chemical lifetime of Na atoms
near the Na layer peak is much longer than the timescale of vertical
transport, thus the dynamical processes dominate the Na density variation
between 85 and 95 km (Xu and Smith, 2003), while near the bottom of Na
layer, Na chemistry plays a more significant role (Self and Plane, 2002).
According to Plane et al. (2015), here we simply describe the main Na
chemical reactions that determine the Na variations on the bottom side of
the layer:</p><?xmltex \hack{\newpage}?>
      <p id="d1e1061">

              <disp-formula specific-use="gather" content-type="numbered reaction"><mml:math id="M80" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:mi mathvariant="normal">NaO</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:mspace linebreak="nobreak" width="1em"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">116</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaHCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mspace linebreak="nobreak" width="1em"/><mml:mspace linebreak="nobreak" width="1em"/><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NaHCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">H</mml:mi><mml:mo>→</mml:mo><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mspace width="1em" linebreak="nobreak"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1.84</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:msup><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0.777</mml:mn></mml:msup><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1014</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          Units: unimolecular, s<inline-formula><mml:math id="M81" 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>; bimolecular, cm<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M83" 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> s<inline-formula><mml:math id="M84" 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 id="d1e1298">The neutral Na chemistry on the underside of the Na layer is mainly
controlled by odd oxygen (O and O<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and hydrogen (H) chemistry. Through
oxidation reaction of Na with O<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, Na is converted to NaO (or further
oxidized to NaO<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, NaO<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) (Reaction R1), which can further react with
H<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O or H<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and CO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (and O<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) to form the relatively stable
NaHCO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which is believed to be the major reservoir species for Na
(Plane et al., 2015; Gomez Martin et al., 2016). The oxidation reaction of
Na atoms (Reaction R1) is greatly accelerated with altitude decrease as it is
sensitive to pressure (Yuan et al., 2019). NaO and NaO<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> produced by the
oxidation are short-lived according to Self and Plane (2002). They can also
be recycled back to Na by atomic O. As atomic O has a large positive
vertical gradient near the mesopause region, the chemical lifetime of Na
atoms is extremely short (only several seconds) on the underside of the Na
layer around and below 80 km (Xu and Smith, 2005), and most of Na is in the
form of NaHCO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. This also results in a sharp lower edge of Na layer
near 80 km.</p>
      <p id="d1e1401">During daytime, solar radiation will significantly accelerate the photolysis
reaction of NaHCO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, thus a part of NaHCO<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can be converted back
to Na atoms (Reaction R2). NaHCO<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> can also be recycled back to Na by reaction with H (Reaction R3). The reaction rate of NaHCO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with H positively depends on
background temperature. The photolysis of O<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:msub></mml:math></inline-formula> O<inline-formula><mml:math id="M101" 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 id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O
during the day can greatly increase the concentrations of atomic O and H
around and below 80 km (Plane, 2003), thus further promoting the release of
Na atoms from NaHCO<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or NaO and NaO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Generally, the typical
daytime H concentration is <inline-formula><mml:math id="M105" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2–5 <inline-formula><mml:math id="M106" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M108" 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>
between 75 and 80 km (Plane et al., 2015; Yuan et al., 2019), and mesopause
temperature is <inline-formula><mml:math id="M109" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 K, resulting in that the first-order rate
of Reaction (R3) is dozens of times slower than that of Reaction (R2). Thus, photolysis
reaction of NaHCO<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is often considered to dominate the increase in Na
concentration on the layer bottom after sunrise (Yuan et al., 2019).
Photolysis of other Na species can also contribute to Na density increase.
However, the bottom extensions downward to <inline-formula><mml:math id="M111" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km are not
seen in early and late December even though the variation of solar
illumination with local time is similar in the same month. Moreover, the
variations of Na layer bottom on 17 December are inconsistent with that of
solar zenith angle. For example, the constant density line of 1000 cm<inline-formula><mml:math id="M112" 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>
on the layer bottom rapidly recovers upward before midday when there is
still solar illumination. This implies that the photolysis reactions driven
by solar radiation is not the most critical factor responsible for the
significant bottom extensions and enhancements of Na layer below 75 km
observed in mid-December 2014.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1562"><bold>(a, b)</bold> Temperature variations in December 2014 from the SABER instrument onboard TIMED satellite, averaged in the altitude range of 70–75 and 35–45 km, respectively. <bold>(c, d)</bold> The same as <bold>(a)</bold>–<bold>(b)</bold> but for mixing ratio of O<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. <bold>(e, f)</bold> The variations of mixing ratio of atomic H and O in
December 2014 from SABER, averaged in the altitude range of 70–75 km. The
red lines with pluses in each plot represent the daily and zonal mean
results averaged between 35 and 45<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, and the blue
lines with asterisks represent the daily mean results averaged near the
lidar site (35–45<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 110–120<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E).</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f03.png"/>

      </fig>

      <p id="d1e1622">According to the Na neutral chemical reactions (Reactions R1, R3), Na density
evolution on the layer bottom are strongly dependent on temperature and the concentrations of background minor chemical constituents (e.g.,
O<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, H and O). Thus we analyze their variations in December 2014, which
are shown in Fig. 3a–f, respectively. Figure 3a–b plots the daily mean
temperature variation averaged in the altitude range of 70–75 and 35–45 km, respectively, in December 2014 from the SABER instrument. The red dotted lines represent the zonal mean (35–45<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) results, and the blue solid lines represent the results averaged over latitudes of
35–45<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and longitudes of 110–120<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, i.e., taking the
averaged measurement profiles of the lidar site overpasses within a range of
<inline-formula><mml:math id="M121" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M122" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude and <inline-formula><mml:math id="M124" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>5<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in longitude. As can be seen, there are apparent temperature
anomalies with opposite phase between upper stratosphere and upper
mesosphere in mid-December over the lidar site (blue solid lines with
asterisks), when compared to the zonal mean temperature (red solid lines
with pluses). The temperature in the altitude region of 70–75 km over the
lidar site is increased by nearly 30 K within 1 week. During the same
period (15–20 December), the local stratosphere shows <inline-formula><mml:math id="M127" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 15–20 K cooler than the zonal mean temperatures between 35 and 45 km.</p>
      <p id="d1e1715">The variations of Na chemistry-related background atmospheric species (e.g.,
O<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, H and O) can also be obtained from TIMED–SABER instrument (Fig. 3c–f). Compared to the temporal variation of zonal mean value, the averaged O<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratio near the lidar site (35–45<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,
110–120<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) shows weak negative perturbation between 70 and 75 km,
while showing positive perturbation between 35 and 45 km in mid-December. Clear
positive perturbations of the mixing ratios of atomic H and O averaged
between 70 and 75 km over the lidar site are also observed in mid-December.
For example, the mixing ratio of atomic H is increased by over 5 times on
17 December (from less than 0.2 <inline-formula><mml:math id="M132" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to over 1 <inline-formula><mml:math id="M134" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), as shown in Fig. 3f. It is intriguing that the duration of background atmospheric anomalies over the lidar site (Fig. 3a–f)
coincides well with that of the significant Na density enhancement below 75 km shown in Fig. 1. This implies that the neutral chemistry reaction (Reaction R3)
makes a critical contribution to the observed Na enhancements on the layer
bottom in mid-December. With a temperature of <inline-formula><mml:math id="M136" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M137" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 230 K (corresponding to a rate of <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M139" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M142" 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> s<inline-formula><mml:math id="M143" 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 H density of 1 <inline-formula><mml:math id="M144" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M146" 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> (estimated
according to the mixing ratio of atomic H and atmospheric density in the
region between 70 and 75 km), the production rate of Na via reaction of
NaHCO<inline-formula><mml:math id="M147" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with H is estimated to be increased by nearly 10 times compared
with that under the typical mesopause atmospheric condition in winter
of middle latitude in the Northern Hemisphere (<inline-formula><mml:math id="M148" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M149" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 200 K, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M151" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> molecule<inline-formula><mml:math id="M154" 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> s<inline-formula><mml:math id="M155" 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 assuming
atomic H concentration to be 2 <inline-formula><mml:math id="M156" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:math></inline-formula> cm<inline-formula><mml:math id="M158" 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> between 70
and 75 km). Furthermore, considering the contribution by increase in atomic
O and decrease in O<inline-formula><mml:math id="M159" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentration near the mesopause region, which
facilitate the liberation of Na atoms and restrict the removal of Na atoms
via oxidation reaction respectively (Plane et al., 2015), the net production
rate of atomic Na through neutral chemical reactions is expected to be
faster than the estimation. Therefore, the neutral chemical reactions,
accelerated by warming of upper mesosphere and increase of atomic H and O
concentrations, play a critical role in the significant bottom extensions
and enhancements of the Na layer below 75 km in mid-December. Undoubtedly,
the photolysis of NaHCO<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> also contributes to the intense bottom
extension of the Na layer after sunrise.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2045"><bold>(a, b)</bold> Temperature variation with longitude, averaged between 35–45<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the altitude range of 70–75 and 35–45 km,
respectively. <bold>(c, d)</bold> The same as <bold>(a)</bold>–<bold>(b)</bold> but for mixing ratio of O<inline-formula><mml:math id="M162" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. <bold>(e, f)</bold> The variations of mixing ratio of atomic H and O with longitude, averaged
between 35–45<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the altitude range of 70–75 km. The red lines
with pluses represent the monthly mean results in December 2014, and the
blue lines with asterisks represent the daily mean results on 17 December.
The black dotted lines in each plot indicate the longitude of the lidar
site. Each data point is obtained by averaging within a longitude range of
10<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f04.png"/>

      </fig>

      <p id="d1e2105">These anomalous structures in background atmosphere over the lidar site
appearing in mid-December 2014 can be further verified in Fig. 4. Figure 4a–b shows the longitudinal variations of temperature averaged between
35–45<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the altitude range of 70–75 and 35–45 km,
respectively. The red lines with pluses and blue lines with asterisks
represent the monthly and daily (taking 17 December for example) mean
results, respectively. The monthly mean temperatures in both the upper
mesosphere and stratosphere regions show a wavy structure of zonal
wavenumber 1. In Fig. 4a–b, apparent anomalous temperature structures
with opposite phase between the upper mesosphere and the stratosphere are
seen on 17 December compared to the monthly mean results, and this extends
across a longitude range of nearly 100<inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, covering the lidar site
(116.01<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). The longitudinal variations of minor chemical
constituents averaged between 35–45<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N are plotted in Fig. 4c–f, respectively. Similarly, negative perturbations of O<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and
positive perturbations of atomic H and O averaged in the altitude range of
70–75 km near the lidar site can be clearly seen in the daily mean results
on 17 December.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2155"><bold>(a–d)</bold> The temporal variations of temperature and O<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with longitude averaged over 35–45<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the altitude range of 70–75 and 35–45 km, respectively. <bold>(e–f)</bold> The daily variations of atomic H and O with longitude, averaged over 35–45<inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and in the altitude range of 70–75 km, respectively.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f05.png"/>

      </fig>

      <p id="d1e2196">The synchronous and out-of-phase atmosphere anomalies between the upper
stratosphere and mesosphere over the lidar site in mid-December, together
with the fact that these anomalies lasted for several days, imply that they
are most likely linked to PW activities. Figure 5 shows the
temporal–longitudinal variations in temperature and neutral chemical species
averaged in 35–45<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N in the upper stratosphere (35–45 km) and the upper mesosphere (70–75 km) in December 2014 observed by SABER/TIMED. Figure 5a–f shows clear eastward planetary-scale perturbations in these background
atmospheric parameters, and the atmospheric anomalies appearing in
mid-December near the Na lidar site are shown to be the result of the zonal
shifting perturbation structure transporting from west to east.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2210">Longitudinal distributions of geopotential amplitudes of PWs for
1–31 December 2014 (shown on every other day; black: total;
blue: PW1; red: PW2; and green: PW1+PW2).</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f06.png"/>

      </fig>

      <p id="d1e2220">It is worth mentioning that the cooling anomaly in the stratosphere and
warming anomaly in the mesosphere are exactly the opposite of the
temperature anomalies observed during the well-known sudden stratosphere
warming (SSW) event appearing in high latitudes. Yuan et al. (2012a) reported
that a significant decrease in Na abundance below 90 km was observed at
41<inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N during the 2009 SSW event, which is consistent with the
dramatic cooling in this region. Feng et al. (2017) also investigated the
responses of metal layers to the 2009 major SSW, and substantial depletions
of the Na and Fe layers were seen both from the lidar measurements and model
simulations mainly due to the mesospheric cooling. Sudden enhancement of PWs
and their interactions with the mean flow are widely accepted as the cause
of SSWs (Matsuno, 1971). We further use ERA-Interim reanalysis to calculate
the longitudinal distributions of geopotential amplitudes of PWs in the
stratosphere. Figure 6 shows the zonal distribution of geopotential height
amplitudes (unit: gpm) at 10 hPa (<inline-formula><mml:math id="M175" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 32 km) and 45<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
in December 2014. It can be seen that before mid-December, planetary wave
number 2 (PW2) is unusually strong and the amplitude of PW2 is even larger
than that of PW1. The PW2 trough (low geopotential height associated with
cold air) moves eastward to the longitude of the lidar site (<inline-formula><mml:math id="M177" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 116<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) near 15 December, resulting that this region was dominated by cold air mass. After 17 December, the amplitude of PW2 significantly decreases
and PW1 increases. PW1 ridge (high geopotential height associated with warm
air) starts to dominate the region near the lidar site. This demonstrated
that the atmospheric temperature anomalies in the stratosphere in
mid-December 2014 around the lidar region was indeed related to the unusual
PW activity. According to Smith (1996), the planetary-scale disturbances
might be generated in situ by longitudinal variations of gravity wave (GW)
forcing in the mesosphere due to the GW filtering by PWs in the
stratosphere. The opposite phase of anomalies between the stratosphere and
mesosphere are likely caused by the interaction with gravity waves (GWs)
(Limpasuvan et al., 2012). It is noted that indeed a minor SSW occurred
about half a month later (in early January 2015). However, a detailed
investigation on this aspect is beyond the scope of the present work.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2266">The temporal variation of zonal wind with longitude, averaged over
35–45<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N near 45 km obtained from ERA-Interim global atmospheric
reanalysis data.</p></caption>
        <?xmltex \igopts{width=318.670866pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f07.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2286"><bold>(a, c)</bold> The temporal variations of zonal wind with altitude near the lidar site in December 2014 obtained from meteor radar (70–110 km, 40.3<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.2<inline-formula><mml:math id="M181" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) and ERA reanalysis data (0–48 km, 35–45<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 117<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), respectively; <bold>(b, d)</bold> the temporal variations of zonal wind near 80 and 45 km, respectively (red lines). The blue dashed lines indicate zero wind.</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f08.png"/>

      </fig>

      <p id="d1e2336">The stratosphere zonal wind, averaged over 35–45<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N near 45 km obtained from
ERA-Interim global atmospheric reanalysis also exhibit eastward transporting
structure of westerly wind, which is consistent with the
temporal–longitudinal variation of temperature and minor constituents in
December 2014 (as indicated by the gray arrow in Figs. 5 and 7). As shown
in Fig. 8a–b, the zonal wind results observed by a meteor radar located
near the lidar site reveal apparent westerly wind deceleration of over 50 m s<inline-formula><mml:math id="M185" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the upper mesosphere region near 80 km, and simultaneous easterly
wind reversal above 90 km in mid-December. During almost the same time
period, the zonal wind in the upper stratosphere changes direction from
easterly to westerly (Fig. 8c–d). In late December, the zonal wind in the
upper mesosphere and the upper stratosphere recovers to the large westerly
wind and easterly wind, respectively. The zonal wind reversal from westward
to eastward in the upper stratosphere and deceleration of eastward zonal
wind in the upper mesosphere in mid-December are close in time to the
appearance of the anomalies of temperature and minor chemical constituents
over the lidar site.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2363"><bold>(a, b)</bold> The temporal and altitude variations of mixing ratio (in logarithm coordinates) of atomic O and H obtained from SABER/TIMED. The data within 35–45<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 110–120<inline-formula><mml:math id="M187" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E were averaged. <bold>(c, d)</bold> Their perturbations obtained by subtracting the monthly mean vertical profiles.</p></caption>
        <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f09.png"/>

      </fig>

      <p id="d1e2395">Previous works have demonstrated the importance of the stratosphere wind
filtering in controlling the propagation of atmospheric waves to the upper
mesosphere region (e.g., Siskind et al., 2010). The out-of-phase temperature
anomalies in the upper stratosphere and upper mesosphere in mid-December
hint at their coupling likely through interaction of PW with mean flow and
changing the GW filtering by the stratospheric wind. The westerly zonal wind
in the stratosphere (as shown in Figs. 7 and 8c) can induce filtering of
eastward-propagating GWs and penetration of westward-propagating GWs into
the mesosphere (Chandran et al., 2011). The westward-propagating GWs induce
a downward circulation in the mesosphere causing adiabatic heating (Liu and
Roble, 2002, 2005; Yamashita et al., 2010). Therefore, the dramatic cooling
and heating in the stratosphere and the mesosphere in mid-December are
likely caused by the perturbations of PWs and their interaction with GWs
(Marsh, 2011; Marsh et al., 2013; Limpasuvan et al., 2012 and references therein). The
strong perturbations of O<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with zonal shift in the stratosphere and
upper mesosphere (Fig. 5c–d) are likely to be linked to the consistent
temperature perturbations (Fig. 5a–b). The reaction rate of O<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
production (<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</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:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi><mml:mo>→</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">M</mml:mi></mml:mrow></mml:math></inline-formula>) increases with decreasing
temperature (Smith and Marsh, 2005), thus the decrease of temperature in the
stratosphere shifts the O <inline-formula><mml:math id="M191" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> ratio towards O<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, resulting in the increase of O<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. And then the upper mesosphere becomes the opposite situation to that in the stratosphere. The temporal variation of atomic H and O with longitude (Fig. 5e–f) did not show as obvious zonal shifting
structures as seen in O<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The strong positive perturbations of atomic H
and O in the upper mesosphere over the lidar site in mid-December might be
also partly associated to the downwelling in the upper mesosphere, which
could force H- and O-rich air downward and increase the concentrations of H
and O below 80 km as their mixing ratios increase with altitude near 80 km
(Marsh et al., 2013; Narayanan et al., 2021). Near 80 km, the vertical
gradients of both atomic O and H are very large (as shown in Fig. 9a–b).
The positive perturbations in H and O below 80 km in mid-December are
also clearly seen in Fig. 9c–d, which was obtained by subtracting the monthly
mean vertical profiles from the temporal and altitude variations of mixing
ratios of H and O.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2492"><bold>(a)</bold> Na mixing ratio corresponding to Fig. 2a; <bold>(b)</bold> adiabatic vertical motion-induced temperature perturbations calculated from the highlighted Na mixing ratio isopleth (1 <inline-formula><mml:math id="M196" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M197" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in <bold>(a)</bold>.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f10.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e2530">SABER temperature profiles obtained near the lidar location. Blue
and black lines in each subplot represent the temperature profiles from the empirical atmospheric model
NRLMSISE-00 (Naval Research Laboratory Mass Spectrometer and Incoherent Scatter Radar Exosphere 2000) and monthly average SABER results near the lidar location,
respectively.</p></caption>
        <?xmltex \igopts{width=471.462165pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/13817/2022/acp-22-13817-2022-f11.png"/>

      </fig>

      <p id="d1e2539">Comparing the behavior of Na layer on 17 December to that on 14 and
18 December, the most striking feature for the former is the more apparent wavy structures with downward propagation phase. It is worth mentioning that the aircraft Na lidar during the Deep Propagating Gravity Wave Experiment
(DEEPWAVE) measurement program observed multiple Na layers descending to
70–72 km over New Zealand in 2014 due to mountain waves (MWs) (Bossert et
al., 2015, 2018; Fritts et al., 2016, 2018). The downwelling regions in
Fig. 2a seem to repeat on multiple days and are likely due to the
superposition of tide and GW. The waves can induce adiabatic vertical motion
of the air parcel, leading to adiabatic heating and thereby contributing to
the much stronger Na layer bottom enhancement on 17 December. In the absence of chemistry, the GW/tide-induced temperature perturbation due to adiabatic
expansion and compression of the air parcel can be approximately calculated
according to the vertical displacements of Na mixing ratio isopleths based
on the approach in Bossert et al. (2015, 2018). Figure 10a shows the Na
mixing ratio contours corresponding to Fig. 2a. The isopleth highlighted
in red corresponds to 1 <inline-formula><mml:math id="M198" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and an average altitude of
77.01 km. In Bossert et al. (2018), the average altitude of each isopleth
was used as the undisturbed equilibrium altitude for the temperature
perturbation calculation. However, it is unreasonable to use the average
altitude (<inline-formula><mml:math id="M200" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 77.01 km) of the highlighted isopleth here because
the observation is diurnal (nearly 44 h), and the Na mixing ratio is largely
affected by photochemistry. If we choose the isopleth between 22:00 and 24:00 LT (before the descending layer formation) on 17 December, the average altitude is
calculated to be 78.74 km, and the corresponding temperature perturbation
for the highlighted isopleth in Fig. 10a is shown in Fig. 10b. Taking
into account the chemistry which depends strongly on temperature, Bossert et
al. (2018) employed a model of Na chemistry to determine the chemical
amplification factor (CAF) of atomic Na. The CAF was then used to correct
the calculated temperature perturbations from Na mixing ratio. For a mean
height of 81.5 km and a wave with period of 20 min turned on 1 h
after sunset, the largest CAF of atomic Na is <inline-formula><mml:math id="M201" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.6 within 4 h after sunset. However, the effect of chemistry on the underside of the
Na layer would be greater during daytime. After sunrise, solar radiation
will significantly accelerate the photolysis reaction of NaHCO<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, and
convert NaHCO<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> back to Na atoms (Reaction R2). In addition, the photolysis of
O<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M205" 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 id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O during the day can greatly increase the
concentrations of atomic O and H around and below 80 km (Plane, 2003), thus
further promoting the release of Na atoms from NaHCO<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> (Reaction R3) or NaO and
NaO<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Therefore the CAF will increases significantly and be much larger
than 1.6 after sunrise, especially at lower altitudes (i.e., below 80 km).
The GW-induced adiabatic temperature perturbations on 17 December would be much smaller than the roughly estimated values shown in Fig. 10b. In order to
properly estimate the adiabatic temperature change associated with the
downwelling forced by the superposition of GW and tide, a more comprehensive
model investigation may be needed.</p>
      <p id="d1e2640">Actually, before the strong downwelling regions appear, the SABER sampling
profile obtained at <inline-formula><mml:math id="M209" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 20:58 LT on 16 December around the lidar site
already shows considerable positive perturbations (<inline-formula><mml:math id="M210" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 30 K) at
around 75 km, as shown in Fig. 11b. The temperature profiles obtained at
<inline-formula><mml:math id="M211" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 00:26 and 02:03 LT on 17 December (Fig. 11c–d) also have
warming anomalies around 75 km. However, the Na mixing ratio isopleths moved
down to below 80 km after <inline-formula><mml:math id="M212" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 04:00 LT. The temperature anomalies
also appeared on other days near mid-December (e.g., 14, 18 December, as shown in
Fig. 11a, f). These imply that the temperature perturbations near 75 km
observed by SABER are more likely linked to the GW filtering by PW rather
than the strong downwelling caused by the superposition of tide and GW.</p>
      <p id="d1e2671">Given all of that, we suggest two causes for inducing adiabatic heating and
contributing to the observed more significant bottom enhancement on 17 December. One is the interaction of PW with mean flow which could change GW filtering properties by the stratospheric wind (Yamashita et al., 2010; Liu and Roble, 2002). This occurs over a relatively large horizontal area as
seen in Figs. 4 and 5 (covering nearly 50<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in longitude around
the lidar site and lasting several days in mid-December, i.e., on 14,
18 December, in addition to 17 December). The other is the superposition of tide and GW,
which induces the stronger downwelling on 17 December as shown in Fig. 2. The
effect of the latter is more significant than the former as we see the
bottom enhancement on 17 December is much more pronounced than that observed on 14 and 18 December.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e2692">In this study, we report the observations of significant extension of Na
layer bottom by a diurnal Na lidar in mid-December 2014 at Beijing
(40.41<inline-formula><mml:math id="M214" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 116.01<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), China. Considerable Na atoms are
observed even as low as <inline-formula><mml:math id="M216" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 72 km. Liberation of Na atoms from
its reservoir (e.g., NaHCO<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) near the Na layer bottom via neutral
chemical reactions, which are accelerated by the largely increased
temperature and concentrations of atomic H and O, is suggested to be the
critical production mechanism of the enhanced Na layer below 75 km. The
diurnal lidar measurements of the Na layer, zonal wind results from a nearby
meteor radar, global satellite observations, and reanalysis data
presented here reveal the close correlation between the variation of Na
layer bottom and planetary-scale atmospheric processes. The longitudinal
distributions of geopotential amplitudes of PW show that there exists
unusual development of the amplitude of PW2, and the stratosphere near the
lidar location is dominated by PW2 trough in mid-December. The out-of-phase
temperature anomalies in the upper stratosphere and upper mesosphere are
likely due to the modulation of GW filtering by stratosphere wind. The
strong eastward wind in the upper stratosphere provides a favorable
condition for the vertical propagation of westward GWs. Westward forcing
could induce a poleward flow and drive downward circulation in the
mesosphere, leading to adiabatic heating. The unprecedented Na density of
<inline-formula><mml:math id="M218" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2500 cm<inline-formula><mml:math id="M219" 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> near 75 km observed on 17 December 2014 is
also greatly contributed by the adiabatic vertical motion of air parcel
forced by the superposition of tide and GW.</p>
      <p id="d1e2749">The results of this paper provide direct observational evidence for the role
of PWs in the perturbations of metal layers in the upper mesosphere region.
These results also have implications for the response of the metal layers
(especially the layer bottom) to perturbations in the lower atmosphere
(i.e., stratosphere). Modeling studies are desirable to investigate the
complicated interactions of dynamical and chemical processes and their
effects on the variations of metal layer in more depth.</p><?xmltex \hack{\newpage}?>
</sec>

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

      <p id="d1e2757">The SABER/TIMED data used in this study are downloaded from
<uri>http://saber.gats-inc.com/browse_data.php</uri> (last access: 15 May 2022; SABER team, 2022). The ERA reanalysis data used in this study were obtained from <uri>https://www.ecmwf.int/en/forecasts/datasets/archive-datasets/</uri> (last access: 15 May 2022; ECMWF, 2022). The meteor radar data were supported by the Chinese Meridian Project and are available from Beijing National Observatory of Space Environment, Institute of Geology and Geophysics, Chinese Academy of Sciences through the Geophysics Center, National Earth System Science Data Center (<uri>http://wdc.geophys.ac.cn</uri>, last access: 20 March 2020; Institute of Geology and Geophysics, Chinese Academy of Sciences, 2020). The datasets collected from the diurnal Na lidar measurements above Beijing, China, are supported by the Chinese Meridian Project (<uri>http://data.meridianproject.ac.cn/</uri>, last access: 15 May 2022; National Space Science Center, Chinese Academy of Sciences, 2022).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2775">YX carried out the data analysis and wrote the paper. JJ and SN contributed to the discussion of the results and the preparation of the paper. XC, JW, and FL supported operations of the lidar and took part in the discussions. CS contributed to the discussion of planetary wave activity and performed data analysis of geopotential amplitudes of planetary waves in the revised paper. LD and HZ were responsible for the lidar operations. YL contributed to the analysis of reanalysis data. GY conceived this study and contributed to the discussion of the results.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2781">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2787">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2793">We acknowledge the use of the data from the Chinese Meridian Project (<uri>http://data.meridianproject.ac.cn/</uri>) and the Geophysics Center, National Earth System Science Data Center. We also want to acknowledge the SABER team and ECMWF here for making available the data used in this publication. A part of this work was carried out while Yuan Xia visited the Institute for Space–Earth Environmental Research (ISEE) under the
International Joint Research program of ISEE, Nagoya University. The authors
would like to thank Xinzhao Chu​​​​​​​ for valuable suggestions and helpful discussion.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2801">This research has been supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (grant nos. 21KJB510007 and 20KJD170001), the Specialized Research Fund for State Key Laboratories of China, the Youth Innovation Promotion Association of Chinese Academy of Sciences (grant no. 2019150), Project of Stable Support for Youth Team in Basic Research Field, Chinese Academy of Sciences (grant no. YSBR-018), and the International Partnership Program of Chinese Academy of Sciences (grant no. 183311KYSB20200003).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2807">This paper was edited by William Ward and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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