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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-14-2907-2021</article-id><title-group><article-title>A dedicated robust instrument for water vapor generation at low humidity for
use with a laser water isotope analyzer in <?xmltex \hack{\break}?>cold and dry polar regions</article-title><alt-title>A robust instrument for water vapor generation at low humidity</alt-title>
      </title-group><?xmltex \runningtitle{A robust instrument for water vapor generation at low humidity}?><?xmltex \runningauthor{C.~Leroy-Dos Santos et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Leroy-Dos Santos</surname><given-names>Christophe</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Casado</surname><given-names>Mathieu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8185-415X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Prié</surname><given-names>Frédéric</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Jossoud</surname><given-names>Olivier</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4779-3779</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kerstel</surname><given-names>Erik</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5325-7860</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Farradèche</surname><given-names>Morgane</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kassi</surname><given-names>Samir</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5313-2283</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fourré</surname><given-names>Elise</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2554-9660</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Landais</surname><given-names>Amaëlle</given-names></name>
          <email>amaelle.landais@lsce.ipsl.fr</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Laboratoire des Sciences du Climat et de l'Environnement,
CEA–CNRS–UVSQ–Paris-Saclay–IPSL, Gif-sur-Yvette, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Alfred Wegener Institute, Helmholtz Center for Polar and Marine
Research, Potsdam, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratoire Interdisciplinaire de Physique, CNRS – Université
Grenoble Alpes, Grenoble, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Amaëlle Landais (amaelle.landais@lsce.ipsl.fr)</corresp></author-notes><pub-date><day>15</day><month>April</month><year>2021</year></pub-date>
      
      <volume>14</volume>
      <issue>4</issue>
      <fpage>2907</fpage><lpage>2918</lpage>
      <history>
        <date date-type="received"><day>27</day><month>August</month><year>2020</year></date>
           <date date-type="rev-request"><day>5</day><month>October</month><year>2020</year></date>
           <date date-type="rev-recd"><day>3</day><month>March</month><year>2021</year></date>
           <date date-type="accepted"><day>5</day><month>March</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 Christophe Leroy-Dos Santos et al.</copyright-statement>
        <copyright-year>2021</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://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021.html">This article is available from https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e169">Obtaining precise continuous measurements of water vapor isotopic
composition in dry places (polar or high-altitude regions) is an important
challenge. The current limitation is the strong influence of humidity on the
measured water isotopic composition by laser spectroscopy instruments for
low humidity levels (below 3000 ppmv). This problem is addressed by
determining the relationships between humidity and measured
<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of known water standards. Here, we present the
development of a robust field instrument able to generate water vapor, down
to 70 ppmv, at very stable humidity levels (average 1<inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> lower than 10 ppmv). This instrument, operated by a Raspberry interface, can be coupled to
a commercial laser spectroscopy instrument. We checked the stability of the
system as well as its accuracy when expressing the measured isotopic
composition of water vapor on the VSMOW–SLAP (Vienna Standard Mean Ocean Water – Standard Light Antarctic Precipitation) scale. It proved to be highly
stable during autonomous operation over more than 1 year at the East
Antarctic Concordia and Dumont d'Urville stations.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e211">The recent development of laser spectroscopy instruments now enables the
continuous measurement of the isotopic composition of water vapor at many
observation stations all around the world
(Bailey
et al., 2015; Bastrikov et al., 2014; Schmidt et al., 2010; Sodemann et al.,
2017; Tremoy et al., 2011). In particular, the isotopic composition of
water vapor has proven to be a very useful tool to document moist synoptic
events at many locations
(Bonne
et al., 2014; Guilpart et al., 2017). In polar regions, the water vapor
isotopic signal is not only useful for detecting the origin of moist air
(Bréant et al., 2019; Kopec et al.,
2014) but also for improving the interpretation of the isotopic composition of
water in surface snow and ice core archives
(Steen-Larsen et al., 2014). Indeed,
exchanges occur after deposition between the surface snow and the
water vapor, leading to modifications to the isotopic composition of the
former and, hence, of the archived ice
(Casado et al., 2016,
2018; Ritter et al., 2016).</p>
      <p id="d1e214">Obtaining continuous and accurate measurements of the water vapor isotopic
composition expressed on the VSMOW–SLAP (Vienna Standard Mean Ocean Water – Standard Light Antarctic Precipitation) scale measurements of the water
vapor isotopic composition at Concordia station in central Antarctica is a
key scientific challenge, as the deep ice core drilled there, EPICA Dome
C, provides the oldest continuous water isotopic record expressed on the
VSMOW–SLAP scale to date (Jouzel et al., 2007). Thus,it
is a key reference for the study of past climate, and a correct
interpretation of the isotopic record relies on the quantification of the
transfer function between climate parameters and water isotopic composition
in ice, which is itself influenced by exchanges with water vapor in the upper layers
of the firn (Casado et al., 2018). Such knowledge is also of the<?pagebreak page2908?> uttermost
importance for the interpretation of water isotope records from the new
deep drilling project “Beyond EPICA – Oldest Ice”
(<uri>https://www.beyondepica.eu/en/</uri>, last access: 5 April 2021), the aim of which is to drill a 1.5 million-year-old
ice core at the Little Dome C site located 40 km from Concordia
station and, hence, with similar low temperature and humidity conditions.</p>
      <p id="d1e220">One of the main limitations of the current commercial instruments when
deployed in polar regions is their relatively poor performance at low water
vapor concentration. Generally, the precision of the measured isotopic
ratios, <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>,  rapidly worsens when the water
mixing ratio decreases to humidity levels below 3000–5000 ppmv
(parts per million by volume) (Bonne et al., 2014;
Weng et al., 2020). However, in remote continental areas in Greenland and
Antarctica, temperatures in winter can drop to very low values, leading to
humidity levels down to 10 ppmv (Genthon et al., 2017).
Arguably one of the most extreme experiments for continuous measurement of
the water vapor isotopic composition was the deployment of a commercial
Picarro L2130-i instrument at the East Antarctic French–Italian station of
Concordia where the mean annual temperature is around <inline-formula><mml:math id="M6" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>54 <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and
the humidity barely exceeds 1000 ppmv during the warmest summer days
(Casado et al., 2016). For such applications, there are two
major impacts of low humidity on the raw isotopic signal: first, we
generally observe an apparent increase in <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> with decreasing humidity level; second, the standard deviation
associated with the continuous measurements of <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of the water vapor increases. This can lead to overall uncertainties of
several per mil for <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and tens of
per mil for <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. Therefore, it is of uttermost importance to
have a correct determination of the humidity dependency of the water vapor
isotopic ratios.</p>
      <p id="d1e332">Commercial instruments from Picarro Inc. are usually associated with a
Picarro standards delivery module (SDM) designed to generate humidity at
stable levels between 5000 and 30 000 ppmv. Using such a setup for
humidity levels below 5000 ppmv leads to large uncertainties in the
determination of the humidity influence on the water vapor isotopic
composition (e.g., Guilpart et al., 2017). These uncertainties are due both
to the instability of the water vapor generation using the SDM (in terms of
water concentration – humidity – and/or isotopic composition) and to the
analytical noise in the spectroscopy measurements when the absorption
signals are weak. An alternative commercial device is the LGR (Los Gatos
Research) calibration system (Water Vapor Isotope Standard Source, WVISS),
which uses a nebulizer to instantaneously evaporate microdroplets of liquid
water from a standard reservoir into a large (1 L) vaporizing chamber (Dong
and Baer, 2010). This system is very stable and well adapted for a humidity
range between 2500 and 25 000 ppmv
(Aemisegger et al., 2012).</p>
      <p id="d1e336">Several homemade water vapor injection systems have been developed with the
specific aim of achieving better generated humidity stability at
low humidity levels. A first approach is to use a dew point generator that
injects small amounts of water into dry air
(Lee et al., 2005; Wang
et al., 2009). This approach is time-consuming, as it takes a long time to reach
equilibrium and relies on a very precise knowledge of the temperature to
quantify the isotopic fractionation. A method using a piezoelectric
microdroplet generator into a dry-air stream could generate water mixing
ratios between 12 and 3500 ppmv
(Iannone et al., 2009;
Sturm and Knohl, 2009; Sayres et al., 2009). However, adjustment of the humidity
level and long-term stability are difficult to obtain with such devices.
Systems relying on the use of syringe pumps have also been built by
Gkinis et al. (2010) and Tremoy et al. (2011): a
small fraction of the input stream of liquid water is introduced into a hot
oven where water is vaporized in the presence of a dry-air flow. These
systems cover a humidity range between 2000 and 30 000 ppmv. Finally, bubbler
systems, in which dry air flows through a large volume of water to create
saturated vapor, are very robust but can only produce water vapor at
high humidity levels
(Ellehoj et al.,
2013). The aforementioned devices are unfortunately not well suited for
automatic long-term operation at low humidity levels. During the 2014–2015
summer field season at Concordia station in Antarctica, a homemade humidity
generator specifically designed for low humidity levels
(Landsberg, 2014) was deployed (Casado et al., 2016). The
device used dual high-precision, low-volume, syringe pumps to generate
stable humidity levels at two different isotopic compositions over the range
from 100 to 800 ppmv (Casado et al., 2016). Unfortunately, we observed quite
a large scattering among the isotopic values measured at similar humidity
levels as well as a large discrepancy between the humidity dependency of
the water isotopic ratios measured in the field and that measured in the
laboratory. Upon return to the laboratory, these defaults were traced
primarily to tiny leaks in the water supply lines to the syringes.</p>
      <p id="d1e339">Therefore, we reengineered the prototype by Landsberg (2014) in order to
develop a robust and autonomous device for stable low-level humidity
generation for the purpose of precise humidity calibration of spectroscopic
instruments. Such devices have now been operating with minimum manual
intervention for more than 1 year at two polar stations in Antarctica,
Dumont d'Urville and Concordia, coupled to Picarro laser spectroscopy
instruments. Here, we detail the technical description of the instrument and
show key performance characteristics, enabling, for instance, a discussion
of small-amplitude signals such as the diurnal variability of the water
vapor isotopic composition in remote dry sites in East Antarctica.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>New vapor generator for low humidity levels</title>
      <p id="d1e350">The low humidity level generator (LHLG) developed here relies on the same
principle as the one developed by Landsberg (2014), i.e., a steady,
undersaturated evaporation of a liquid<?pagebreak page2909?> water droplet at the tip of a needle
into a dry-air stream inside a small evaporation chamber. Based on this
first prototype, the instrument has been remodeled including a specific
hardware and software design.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e355">Evaporation of a droplet in the humidity generator chamber: the left panel shows a picture from the prototype from Landsberg (2014), and the right panel displays schematics of the water molecules being transferred to the air flow (Casado, 2016).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f01.png"/>

      </fig>

<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Physical principle</title>
      <p id="d1e371">The LHLG is based on the undersaturated evaporation of a small droplet at the
tip of a needle (Fig. 1). Liquid water is pushed through a needle around
which dry air is flowing. Dry air is obtained from a bottle of high-purity
synthetic air with pressure regulation through two manometers connected in
series. The mass flux of water (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>L</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) is kept low compared with the air mass
flow (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) so that the relative humidity (RH) of the downstream moist air flow
remains low (RH <inline-formula><mml:math id="M16" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.1). Therefore, the air stays largely undersaturated, and its
humidity is controlled only by the flow of liquid water in the needle and
that of the dry air upstream of it. The mixing ratio (or humidity) of the
air as classically provided by a Picarro instrument is given by
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M17" display="block"><mml:mrow><mml:mtext>MR</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>L</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mi>R</mml:mi><mml:mo>×</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>st</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>A</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mtext>st</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> kg m<inline-formula><mml:math id="M19" 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> is the density of water, <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8.314</mml:mn></mml:mrow></mml:math></inline-formula> J mol<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> K<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is the universal gas constant, <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>st</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">293.15</mml:mn></mml:mrow></mml:math></inline-formula> K and
<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>st</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1013.25</mml:mn></mml:mrow></mml:math></inline-formula> hPa are standard conditions of temperature and pressure,
and <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">18.10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> kg mol<inline-formula><mml:math id="M26" 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>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e615">Humidity generator schematic diagram (see Table S1 in the Supplement for details on the different elements).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f02.png"/>

        </fig>

      <p id="d1e624">Physically, when the flux of water or air is changed, there is first a
transient regime during which the radius of the droplet changes, modifying
the evaporative surface and, therefore, the humidity of the outgoing air. Once
a stationary regime is reached, the radius of the droplet is stabilized and
the humidity is given by Eq. (1). In this regime, there is no
accumulation of water molecules in the system; therefore the isotopic
composition of the vapor produced is equal to the isotopic composition of
the liquid water injected in the needle: <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>V</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>L</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (note that because of the fractionation during the transition phase, the
isotopic composition of the droplet <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>D</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is different from <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>L</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>V</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; see Kerstel, 2020). When changing the flux of evaporating water, we
modify the size of the evaporating surface and, therefore, the radius of the
drop. The evolution of the radius of the drop can be obtained from the
resolution of a nonlinear differential equation of the volume (<inline-formula><mml:math id="M31" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>) of the
drop:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M32" display="block"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>V</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>L</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>evap</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>evap</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mtext>e</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> is the evaporation flux depending on <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>e</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (the
evaporation rate) and <inline-formula><mml:math id="M35" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> (the surface area of the drop exposed to the dry air). A
good approximation is to consider the shape of the drop as a fraction of a
sphere of variable radius intercepted by the surface of a disk of constant
radius (the syringe tip). By numerically solving differential Eq. (2), it is possible to faithfully simulate the behavior of the device under
changing conditions (Kerstel, 2020). This numerical approach validates the
theoretical explanation of the undersaturated evaporation of the droplet.
Importantly, it is noted that in steady state, as is the case for our
application, the isotopic composition of the generated humid air is
identical to that of the injected water stream and, therefore, does not
depend on the infusion rate nor the specific humidity.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Instrument conception</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Technical realization</title>
      <p id="d1e774">As the LHLG relies on operating in a stationary regime, it is important that
the dry-air input and the water input are steady. Thus, the air and water
fluxes as well as the air pressure in the evaporation chamber are
controlled by electronic PID (proportional–integral–derivative) regulators. Temperature intervenes through its
effect on fractionation and the evaporation rate (apart from a negligible
effect on the flow controller stability), which could lead to a departure
from steady-state operation. For these reasons, the temperature of the
evaporation chambers was maintained at 20 <inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (within 1 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C over 24 h).</p>
      <?pagebreak page2910?><p id="d1e795">The dry-air flux is regulated by a high-precision mass flow controller
(Vögtlin GSC-A9TS-DD22), which has an operating range from 6 to 600 sccm
(standard cubic centimeters; SD cm<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> min<inline-formula><mml:math id="M39" 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 an accuracy of 3.3 sccm. The water flux is
regulated by a high-precision syringe pump (Harvard Apparatus Pump 11 Pico
Plus Elite Dual), which can produce a water flow down to 10.8 pL min<inline-formula><mml:math id="M40" 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>
with an accuracy of 0.35 % using syringes with a volume ranging from 10  to 250 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L. We operate in the routine mode with a dry-air
flow of 300 sccm and a water flow between 0.02 and 0.5 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L min<inline-formula><mml:math id="M43" 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>
using mainly 50 or 100 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L syringes. The syringe pump is equipped with
two syringes that provide two water flows into two evaporation chambers in
parallel (Fig. 2). Each syringe is connected to a water reservoir and to
an evaporation chamber by a double three-way liquid valve (Rheodyne MXX777603)
switching from an “infuse” mode to a “withdraw” mode to refill the
syringes. The water in the water reservoirs is sampled every month to check
its isotopic composition and is renewed when the level of water is below half
the maximum level. A maximum evolution of the isotopic composition of the
lab standard filling the water reservoirs has been observed as
0.05 ‰ and 0.5 ‰, respectively, for
<inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> over a 2-month period.</p>
      <p id="d1e891">A major change to the instrument designed by Landsberg (2014) is the
introduction of the double three-way valve with leak-tight connections and an
internal volume of 1.9 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L. This modification is an important
improvement as it enables automatic handling of the lab standards from a
reservoir to the evaporation chamber with a robust connection, avoiding in
particular potential air bubbles in the water flow. Indeed, the
compressibility of air bubbles trapped in the water flow can lead to flow
irregularities via the amplification of small nonlinearities in the progression
of the syringe plunger. This would lead to non-steady-state operation, which,
in turn, would create artifacts in the humidity and isotopic composition,
reducing the performance of the calibration device (see Kerstel, 2020). In
addition, the three-way valve provides the opportunity for a “withdrawn” mode in
which the syringes draw lab-standard water from a reservoir. When equipped
with 100 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L syringes, the instrument can operate for several hours up
to 1 day between refills. With the addition of the auto-refill option and
the effective suppression of bubbles, the instrument can be used unattended
for many months, as required for an Antarctic winter field campaign.</p>
      <p id="d1e910">The evaporation chambers are stainless-steel cylinders equipped with
specific connectors (Swagelok Ultra-Torr SS-4CD-TW-25) holding silicon
rubber septa through which needles are inserted toward the middle of the
chamber. The pressure in both chambers is regulated by a pressure controller
(Bronkhorst P-702CV-1K1A-AAD-22-V) with a precision of 3 mbar in a range
from 0 to 1000 mbar. This pressurization of the two chambers combined with
the relatively high flow (higher than required by the infrared
spectrometers) enables a steady state to be maintained irrespective of whether or not the
infrared spectrometer is connected and also increases the time efficiency of
calibration procedures. The spectrometer is not sensitive to the inlet
pressure, and the precision of the pressure controller is not an essential
aspect. On the contrary, the precision of the flow controller is key for the
precision of the humidity level produced by the instrument: it is 1 %
for the air flow, which is comparable to the precision of the measurement of
the humidity level with the optical spectrometer. When the instrument is
connected to the infrared spectrometer, the excess humid air flow is
exhausted to the room through the pressure pump, and the spectrometer only
pumps what is required (Fig. 2).</p>
      <p id="d1e914">The control of the instrument is ensured by a Raspberry Pi that can be
interfaced to a Picarro water analyzer (L2130-i in our case) in sequencer
mode (see below). The hardware was designed to meet the specifications
dictated by field conditions: (1) all components are fixed in a transportable
case (except the dry-air bottle), isolated from vibration by an
anti-vibration foam; (2) a panel of connectors (e.g., HDMI, USB and Ethernet)
ensures the accessibility to the instrument when it is closed; (3) the
electrical and electronic parts (e.g., power supply and Raspberry Pi) are
separated from the rest of the instrument (e.g., sensors and gauges). Both the
electrical and electronic parts are fully and easily accessible in case of
failure.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Software details</title>
      <p id="d1e925">The control software has been developed using open-source Python libraries
and homemade drivers, including a user interface displaying the state of
relevant components and the value of the different sensors. The software
(HumGen) can be downloaded online (<uri>https://github.com/ojsd/humgen</uri>, last access: 4 April 2021;
<uri>https://zenodo.org/record/4003465#.YF82sz8o-Uk</uri>, last access: 4 April 2021).</p>
      <p id="d1e934">The LHLG can operate in eight different states, with each state representing a
specific setup for each element (valve position, syringe pump infusion
rate, dry-air flow rate and pressure). These eight states can be divided into
three categories:<?pagebreak page2911?> a routine mode, an expert mode and a humidity-isotopes
calibration mode. The simple mode is composed of six predefined states
referring to the classic isotopic calibration in everyday routine operation
(Table 1): (1) measurement of the outside air water vapor isotopic
composition; (2) drying of the cavities; (3) “humidity boost”, in order to more quickly
reach the desired humidity level in the cavities; (4) injection of
Standard A in the corresponding evaporation chamber at a set humidity level;
(5) injection of Standard B in the corresponding evaporation chamber; (6) refill of the syringes. The expert mode is useful to adjust each parameter
manually: flow rates on controllers FCA and FCB, opening of
electrovalves A and B, mode (infuse or withdraw) and infused rate for the
syringe pump, pressure regulation, state of the double three-way valve,
activation of the pressure pump at the exhaust, and opening of external
electrovalves from the dry-air tank and to the inlet (Fig. 2). The
humidity-isotopes calibration mode produces a scale of increasing humidity
steps in the evaporation chambers (e.g., from 100 to 1000 ppmv, through
steps of 100 ppmv for 50 min for each standard). The details of the
sequence (standard type, humidity level and duration of each step) is
defined in a text file by the operator from the Raspberry interface, with the
Raspberry itself being connected to Ethernet for remote access.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e939">Allan deviation over 4 h for different humidity levels (black, 1080 ppmv; dark blue, 770 ppmv; green, 400 ppmv; pink, 320 ppmv; yellow and light blue, 170 ppmv) for humidity <bold>(a)</bold>, <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> and <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold>.</p></caption>
            <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f03.png"/>

          </fig>

      <p id="d1e981">The Picarro L2130-i analyzer has an external valve sequencer, which is able
to turn up to six electrovalves on or off and create loop sequences with
defined durations for each step of the sequence. This tool can be diverted
from its original purpose by using it as a six-digit code: each of the
humidity generator states is associated with a code. When the Picarro valve
sequencer matches one of the state codes, this state is triggered on the
humidity generator. This eases both the operator's activities and the data
post-treatment, because the current valve status – thus the calibration
instrument state – is saved in the analyzer output data file, in the
“ValveMask” column. The Raspberry inside the LHLG reads the valve sequencer
state code using the Picarro's remote control interface (a RS232 serial
connection through one of the rear-facing DB9 connectors).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e987">Typical routine sequence of measurements and calibration for two standards A and B at 1000 ppmv for a measurement site located at sea level. No mixing occurs between standards A and B during steps “Standard A” and “Standard B” (see Supplement). Note that the humidity-isotopes mode and the expert mode can also be included in the valve sequencer but are not used in a daily calibration routine.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="45pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="8" colname="col8" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="9" colname="col9" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="10" colname="col10" align="justify" colwidth="30pt"/>
     <oasis:colspec colnum="11" colname="col11" align="justify" colwidth="30pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">States <?xmltex \hack{\hfill\break}?>(min)</oasis:entry>
         <oasis:entry colname="col2">Flow FCA <?xmltex \hack{\hfill\break}?>(sccm)</oasis:entry>
         <oasis:entry colname="col3">Flow FCB <?xmltex \hack{\hfill\break}?>(sccm)</oasis:entry>
         <oasis:entry colname="col4">Valve <?xmltex \hack{\hfill\break}?>A</oasis:entry>
         <oasis:entry colname="col5">Valve <?xmltex \hack{\hfill\break}?>B</oasis:entry>
         <oasis:entry colname="col6">Syringe <?xmltex \hack{\hfill\break}?>pump <?xmltex \hack{\hfill\break}?>(<inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L min<inline-formula><mml:math id="M52" 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>)</oasis:entry>
         <oasis:entry colname="col7">Inlet <?xmltex \hack{\hfill\break}?>valve</oasis:entry>
         <oasis:entry colname="col8">Dry-air <?xmltex \hack{\hfill\break}?>valve</oasis:entry>
         <oasis:entry colname="col9">Pressure <?xmltex \hack{\hfill\break}?>controller <?xmltex \hack{\hfill\break}?>(mbar)</oasis:entry>
         <oasis:entry colname="col10">Pressure <?xmltex \hack{\hfill\break}?>pump for <?xmltex \hack{\hfill\break}?>exhaust</oasis:entry>
         <oasis:entry colname="col11">Double three-way <?xmltex \hack{\hfill\break}?>valve</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Outside air <?xmltex \hack{\hfill\break}?>(1100)</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
         <oasis:entry colname="col4">Closed</oasis:entry>
         <oasis:entry colname="col5">Closed</oasis:entry>
         <oasis:entry colname="col6">0 <?xmltex \hack{\hfill\break}?></oasis:entry>
         <oasis:entry colname="col7">Open</oasis:entry>
         <oasis:entry colname="col8">Closed</oasis:entry>
         <oasis:entry colname="col9">Off</oasis:entry>
         <oasis:entry colname="col10">Off</oasis:entry>
         <oasis:entry colname="col11">To <?xmltex \hack{\hfill\break}?>chamber</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Drying <?xmltex \hack{\hfill\break}?>(20)</oasis:entry>
         <oasis:entry colname="col2">400</oasis:entry>
         <oasis:entry colname="col3">400</oasis:entry>
         <oasis:entry colname="col4">Open</oasis:entry>
         <oasis:entry colname="col5">Open</oasis:entry>
         <oasis:entry colname="col6">0</oasis:entry>
         <oasis:entry colname="col7">Closed</oasis:entry>
         <oasis:entry colname="col8">Open</oasis:entry>
         <oasis:entry colname="col9">Off</oasis:entry>
         <oasis:entry colname="col10">Off</oasis:entry>
         <oasis:entry colname="col11">To <?xmltex \hack{\hfill\break}?>chamber</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Boost <?xmltex \hack{\hfill\break}?>(0.7)</oasis:entry>
         <oasis:entry colname="col2">300</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
         <oasis:entry colname="col4">Open</oasis:entry>
         <oasis:entry colname="col5">Open</oasis:entry>
         <oasis:entry colname="col6">Infuse at <?xmltex \hack{\hfill\break}?>2.5</oasis:entry>
         <oasis:entry colname="col7">Closed</oasis:entry>
         <oasis:entry colname="col8">Open</oasis:entry>
         <oasis:entry colname="col9">905</oasis:entry>
         <oasis:entry colname="col10">On</oasis:entry>
         <oasis:entry colname="col11">To <?xmltex \hack{\hfill\break}?>chamber</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Standard A <?xmltex \hack{\hfill\break}?>(50)</oasis:entry>
         <oasis:entry colname="col2">300</oasis:entry>
         <oasis:entry colname="col3">150</oasis:entry>
         <oasis:entry colname="col4">Open</oasis:entry>
         <oasis:entry colname="col5">Closed</oasis:entry>
         <oasis:entry colname="col6">Infuse at <?xmltex \hack{\hfill\break}?>0.25</oasis:entry>
         <oasis:entry colname="col7">Closed</oasis:entry>
         <oasis:entry colname="col8">Open</oasis:entry>
         <oasis:entry colname="col9">905</oasis:entry>
         <oasis:entry colname="col10">On</oasis:entry>
         <oasis:entry colname="col11">To <?xmltex \hack{\hfill\break}?>chamber</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Standard B <?xmltex \hack{\hfill\break}?>(50)</oasis:entry>
         <oasis:entry colname="col2">150</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
         <oasis:entry colname="col4">Closed</oasis:entry>
         <oasis:entry colname="col5">Open</oasis:entry>
         <oasis:entry colname="col6">Infuse at <?xmltex \hack{\hfill\break}?>0.25</oasis:entry>
         <oasis:entry colname="col7">Closed</oasis:entry>
         <oasis:entry colname="col8">Open</oasis:entry>
         <oasis:entry colname="col9">905</oasis:entry>
         <oasis:entry colname="col10">On</oasis:entry>
         <oasis:entry colname="col11">To <?xmltex \hack{\hfill\break}?>chamber</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Reset <?xmltex \hack{\hfill\break}?>(1)</oasis:entry>
         <oasis:entry colname="col2">Closed</oasis:entry>
         <oasis:entry colname="col3">Closed</oasis:entry>
         <oasis:entry colname="col4">Closed</oasis:entry>
         <oasis:entry colname="col5">Closed</oasis:entry>
         <oasis:entry colname="col6">Withdraw <?xmltex \hack{\hfill\break}?>max speed</oasis:entry>
         <oasis:entry colname="col7">Open</oasis:entry>
         <oasis:entry colname="col8">Closed</oasis:entry>
         <oasis:entry colname="col9">Off</oasis:entry>
         <oasis:entry colname="col10">Off</oasis:entry>
         <oasis:entry colname="col11">From <?xmltex \hack{\hfill\break}?>standard</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1366">A set of tools has been developed to quickly check daily calibration. In the
field, analyzer and LHLG data are archived daily and sent to the laboratory,
i.e., at Laboratoire des Sciences du Climat et de l'Environnement (LSCE), Gif-sur-Yvette. They are checked semiautomatically once a
week to warn maintenance personnel in the event of a malfunction.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Performance of the instrument</title>
      <p id="d1e1379">The stability of the instrument has been tested over a large range of
parameters. We show an example in Table 2. We modified the air flow
associated with Standard A (the same results can be obtained with Standard
B) between 200 and 400 sccm with an air flow on channel B of half the value
of channel A. The infusion rate was varied between 0.03 and 0.14 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L min<inline-formula><mml:math id="M54" 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 order to produce humidity levels of 400 and 800 ppmv. The 1<inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>
standard deviations observed over 10 min plateaus are comparable to the
standard deviation obtained when the air flow is set to 300 sccm.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1412">Evolution and stability of humidity and <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (same water used for the different tests) for different syringe infusion rates and dry-air flows.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Air flow</oasis:entry>
         <oasis:entry colname="col2">Infusion rate</oasis:entry>
         <oasis:entry colname="col3">Humidity</oasis:entry>
         <oasis:entry colname="col4">10 min 1<inline-formula><mml:math id="M57" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> stand-</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">10 min 1<inline-formula><mml:math id="M59" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> stand-</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(sccm)</oasis:entry>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L min<inline-formula><mml:math id="M61" 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>)</oasis:entry>
         <oasis:entry colname="col3">(ppmv)</oasis:entry>
         <oasis:entry colname="col4">ard deviation for</oasis:entry>
         <oasis:entry colname="col5">(‰)</oasis:entry>
         <oasis:entry colname="col6">ard deviation</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">humidity (ppmv)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">for <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (‰)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">200</oasis:entry>
         <oasis:entry colname="col2">0.07</oasis:entry>
         <oasis:entry colname="col3">808</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M63" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.88</oasis:entry>
         <oasis:entry colname="col6">0.89</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">300</oasis:entry>
         <oasis:entry colname="col2">0.11</oasis:entry>
         <oasis:entry colname="col3">851</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.73</oasis:entry>
         <oasis:entry colname="col6">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">400</oasis:entry>
         <oasis:entry colname="col2">0.14</oasis:entry>
         <oasis:entry colname="col3">818</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M65" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.95</oasis:entry>
         <oasis:entry colname="col6">0.90</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">200</oasis:entry>
         <oasis:entry colname="col2">0.03</oasis:entry>
         <oasis:entry colname="col3">374</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.45</oasis:entry>
         <oasis:entry colname="col6">1.92</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">300</oasis:entry>
         <oasis:entry colname="col2">0.05</oasis:entry>
         <oasis:entry colname="col3">411</oasis:entry>
         <oasis:entry colname="col4">2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M67" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.16</oasis:entry>
         <oasis:entry colname="col6">1.64</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">400</oasis:entry>
         <oasis:entry colname="col2">0.07</oasis:entry>
         <oasis:entry colname="col3">415</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M68" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.05</oasis:entry>
         <oasis:entry colname="col6">1.59</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e1741">For routine measurement, the air flow and infusion rate have been adjusted to
optimize the stability of the generated vapor while minimizing the dry-air
consumption. Thus, the LHLG is able to generate stable levels of humidity
(drift lower than 20 ppmv over 1 h and 1<inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> below 10 ppmv over 10 min) from 70 to 2400 ppmv following the optimal set points shown
in Table 3.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1755">Set points for the water infusion rate and dry-air flow at a temperature of 20 <inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Humidity</oasis:entry>
         <oasis:entry colname="col2">Infusion rate</oasis:entry>
         <oasis:entry colname="col3">Dry-air</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(ppmv)</oasis:entry>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L min<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">flow (sccm)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">80</oasis:entry>
         <oasis:entry colname="col2">0.01</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">160</oasis:entry>
         <oasis:entry colname="col2">0.02</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">320</oasis:entry>
         <oasis:entry colname="col2">0.04</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">800</oasis:entry>
         <oasis:entry colname="col2">0.1</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1200</oasis:entry>
         <oasis:entry colname="col2">0.15</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1600</oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2400</oasis:entry>
         <oasis:entry colname="col2">0.3</oasis:entry>
         <oasis:entry colname="col3">300</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1915">Records of <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and humidity over three humidity plateaus (72 ppmv on the left, 425 and 335 ppmv on the right) obtained with the LHLG. The gray rectangles indicate the period (10 min) over which the average values are kept for calibrating the data generated by the L2130-i analyzer.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f04.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>No fractionation during water vaporization in the cavity</title>
      <p id="d1e1954">We checked that there was no fractionation of the water during its
transfer from the bottles to the syringe pump and then from the syringe to the
moist air generated in the vaporization chamber through the following tests.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1959">Influence of humidity on the isotopic composition (<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) of the vapor obtained with the LHLG with three water lab standards. The error bars are calculated as the standard deviation (1<inline-formula><mml:math id="M77" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>) over the generated values by the L2130-i instrument during 10 min at 1 s resolution (i.e., without any pre-averaging of the raw data series). The <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mtext>ref</mml:mtext></mml:msub></mml:math></inline-formula> are the values of the injected water standards at 2000 ppmv. The gray lines represent the polynomial fits for the influence of humidity on the water isotopic composition (Eqs. 4 and 5 are also given on the graph).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f05.png"/>

        </fig>

      <p id="d1e2029">First, the isotopic compositions of three different lab standards calibrated
against VSMOW at LSCE (H<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O–CO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> equilibration followed by isotope ratio mass spectrometry for
<inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>; cavity ring-down spectroscopy for <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>; calibrated
every 3 years using VSMOW and SLAP provided by the International Atomic Energy Agency) were compared,
after their generation by the present LHLG and by the commercial SDM, both
at a humidity of 2000 ppmv over 50 min time spans. The measured <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  values agreed to within 0.5 ‰
and 2 ‰, respectively, for the three lab-standard waters
calibrated against VSMOW: EPB (<inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.24 ‰; <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M91" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M92" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>43.6 ‰), NEEM
(<inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M94" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M95" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.50 ‰; <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M98" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>257.2 ‰) and FP5 (<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M100" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M101" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48.33 ‰; <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M103" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>383.5 ‰).
Second, the measured isotopic composition of the same standard (FP5)
generated at different humidity levels between 1000 and 2400 ppmv by the
SDM and the LHLG show the same <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) evolution with
humidity within the respective uncertainties (Fig. S1 in the Supplement).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Stability of the water vapor delivery and associated water
isotopic composition</title>
      <p id="d1e2284">A proper approach to quantify the stability of our system is to use the
Allan variance, which is defined as
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M107" display="block"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>y</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:mo>〈</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:msup><mml:mo>〉</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the successive measurements over a period <inline-formula><mml:math id="M109" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>.</p>
      <p id="d1e2357">An Allan variance plot as a function of averaging time is indeed useful to
determine the optimal time over which the sample humidity and the isotopic
composition should be averaged to obtain a precise determination (low
standard deviation) and avoid drift. Figure 3 displays the Allan deviation
(square root of the Allan variance) in <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  and
humidity obtained by running a long plateau of Standard A or Standard B in
the “infuse” mode over 4 h for different humidity<?pagebreak page2912?> levels. The humidity
variance always stays below 10 ppmv over the 4 h test, and the <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  Allan deviations display minimum values below 1 ‰ and 7 ‰, respectively. The minimum
value for the <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  Allan deviation is generally
obtained for about 15 min of measurement. While the Allan deviation of
<inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  is dependent on the analyzer used, we
observe that the Allan deviation at 1000 s (17 min) for <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  also depends to some extent on the humidity level:
the lowest levels are obtained for humidity levels of 770–1080 ppmv, and the
highest levels are obtained for humidity level of 170 ppmv.</p>
      <p id="d1e2476">In the routine mode (Fig. 4), we perform plateaus of 30 to 50 min (50 min when the instrument is unattended as the time to reach the
plateau varies between a few minutes and 30 min). We then select the last
10 min before the following switch of the instrument to measure the
average level of humidity and the isotopic ratios, <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. We also calculate the associated standard deviations and reject
the values if the humidity standard deviation exceeds 30 ppmv over these
last 10 min. In Fig. 4, one observes that the standard deviations for
humidities generated in the routine mode are actually much lower. The
corresponding standard deviations for the isotopic ratios (<inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>; see values indicated in Fig. 4) increase with decreasing
humidity, reflecting the decrease in the molecular absorption signal
recorded by the L2130-i laser analyzers. This has an obvious impact on the
determination of the relationship between humidity and water vapor isotopic
composition.</p>
      <p id="d1e2525">The performance of the present LHLG can be compared to the performance of
the SDM (see Supplement Figs. S1<?pagebreak page2913?> and S2). First, as seen in Fig. S2, a
comparison has been performed at a humidity level of 800 ppmv, for which we
have numerous daily calibrations performed with a SDM from a 4.5-year field
deployment in Svalbard (Leroy-Dos Santos et al., 2020). The best SDM
performance displays a standard deviation 1<inline-formula><mml:math id="M124" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> of 31 ppmv, which is
significantly worse than the performance of the LHLG (standard deviation
1<inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> lower than 10 ppmv on average and down to 2 ppmv for 30 % of
the generated humidity plateaus). Second, as seen from Fig. S1, while we measure the
same influence of humidity on measured <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>
either with the SDM or with the LHLG, the 1<inline-formula><mml:math id="M128" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> values on humidity
levels are much larger for the SDM than for the LHLG.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Determination of the influence of humidity on water vapor
isotopic composition</title>
      <?pagebreak page2914?><p id="d1e2580">Contrary to the commercial SDM, which hardly produces stable and
reproducible humidity levels below 500 ppmv, the LHLG was able to
produce stable 10 min  humidity plateaus daily over the range from 70 to
2400 ppmv with an associated standard deviation of the order of 10 ppmv
over more than 1 year at the Concordia and Dumont d'Urville stations
(installation in December 2018). The stability of the LHLG allows a robust
quantification of the L2130-i analyzer drift thanks to a daily measurement
of the same water isotopic standard reference (see Table S2 which shows
no measurable drift over a 3-week period). It also permits the
characterization of the measurement nonlinearities observed at low humidity
(Fig. 5). The more than 1-year-long Concordia and Dumont d'Urville
datasets showed that the humidity dependence of <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  did not vary measurably. The uncertainty of the obtained
calibration curve can be attributed entirely to the L2130-i <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  measurements. In other words, the uncertainty bars
on the horizontal (<inline-formula><mml:math id="M133" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>) axis in Fig. 5, associated with the LHLG, are
negligible.</p>
      <p id="d1e2634">Our data show a result already observed in Weng et al. (2020): while the
dependency of <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> on humidity is similar for
low <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  lab standards (NEEM and FP5), we
observe a different behavior for the <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  vs. humidity relationship for
the high <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> lab standard (EPB). This result
strengthens the recommendation of Weng et al. (2020) to use two water
standards in the range of the measured water vapor isotopic composition to
best calibrate our final data. In our case, our applications were in
Antarctica; thus, we used our two lowest lab standards (NEEM and FP5). For
the two standards and for this particular Picarro L2130-i (results are
expected to depend on the instrument), the same dependency of isotopic
composition vs. humidity is observed. We express this dependency as the
relationship between the difference in <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  or <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
between the measured value at the given humidity and the value of the same
standard measured at a humidity of 2000 ppmv. The experimental data for
NEEM and FP5 from Fig. 5 are fitted through polynomial functions with
respect to humidity <inline-formula><mml:math id="M143" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> (in ppmv):<?xmltex \hack{\newpage}?>

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M144" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable columnspacing="1em" rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.97</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">18</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.586315</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.2843645994</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">10</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.3087753445094</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">7</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.1857285350473100</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:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.10603325432255400000</mml:mn><mml:mo>×</mml:mo><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">23.7</mml:mn><mml:mo>;</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtable class="split" columnspacing="1em" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mtext>ref</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.859</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">17</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.0047709</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><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:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.0790331349</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:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.61319302207374</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">6</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.30716141498371</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">3</mml:mn></mml:mrow></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.53651645114701</mml:mn><mml:mo>×</mml:mo><mml:mi>h</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">313</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            These curves are valid only for a given Picarro analyzer and for humidity
higher than 70 ppmv and lower than 2000 ppmv. Outside of this calibration
range, the extrapolation of the polynomial function may lead to anomalous
corrections.</p>
      <p id="d1e3086">After this correction, the measured values corrected from humidity
dependence are corrected using the comparison of the measured values of the
two standards at 2000 ppmv to their VSMOW-calibrated values as explained in
Sect. 3.5 below.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3092"><inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and humidity records over December 2018 and the beginning of January 2019. Raw isotopic values are shown in gray. Corrected isotopic values at an hourly resolution are shown in black after the correction of the influence of humidity on the water isotopic ratios and the adjustment of <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> values on the VSMOW–SLAP scale using relationships between measured lab-standard values and known VSMOW-calibrated lab-standard values.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Accuracy of the system and calibration on the VSMOW–SLAP
scale</title>
      <p id="d1e3155">The accuracy of the system has been addressed performing a two-standard
calibration and measuring a third standard treated as an unknown. We used
two lab standards calibrated vs. VSMOW on the VSMOW–SLAP scale with large
<inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  differences (EPB and FP5) as well as the
lab standard NEEM, which was independently calibrated against VSMOW. The three
lab standards were vaporized at 800 ppmv and measured by the same
L2130-i analyzer.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3183">Focus on diurnal variability of <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and humidity recorded at Concordia. Gray curves show the raw measurements, and black curves show the corrected records. The red (blue) bars indicate the calculated uncertainty due to the isotopic ratio vs. humidity dependence (Fig. 5) on the corrected <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> values during periods with maximum (minimum) humidity. The red (blue) rectangles indicate a half-day with maximum (minimum) humidity.</p></caption>
          <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://amt.copernicus.org/articles/14/2907/2021/amt-14-2907-2021-f07.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3241">Comparison of measured vs. VSMOW-calibrated <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values for three standards measured with a Picarro analyzer after the generation of water vapor using the LHLG.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.92}[.92]?><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Standard</oasis:entry>
         <oasis:entry colname="col2">VSMOW-</oasis:entry>
         <oasis:entry colname="col3">Measured value</oasis:entry>
         <oasis:entry colname="col4">Measured value humi-</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">calibrated</oasis:entry>
         <oasis:entry colname="col3">at 800 ppmv</oasis:entry>
         <oasis:entry colname="col4">dity corrected from</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">value</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">dependence (Eq. 1)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">EPB</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.24 ‰</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.27 ‰</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.78 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NEEM</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.5 ‰</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>34.48 ‰</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36.99 ‰</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FP5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48.33 ‰</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>49.02 ‰</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>51.53 ‰</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

      <p id="d1e3419">We used the measured and true values of EPB and FP5 to estimate the <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> value of the NEEM standard from its measured value (Table 4).
Using the linear relationship obtained from VSMOW-calibrated EPB and FP5
<inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> vs. measured EPB and FP5 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> values (Fig. S3), following the recommendations of the National Institute of Standards<?pagebreak page2915?> and
Technology (NIST, reference material 8535a), leads to an estimated NEEM
<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.31 ‰ to be compared to the
independently VSMOW-calibrated value of <inline-formula><mml:math id="M170" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>33.5 ‰. Given
the uncertainty of about 0.8 ‰–1 ‰ when measuring <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> around 800 ppmv, we can conclude that the system is accurate.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Application</title>
      <p id="d1e3511">The main application of this device is the interpretation of water isotopic
profiles at dry sites, in particular in polar regions. As shown in Fig. 5,
the influence of humidity on the measurement of the water vapor isotopic
composition with the L2130-i analyzer is large when humidity is<?pagebreak page2916?> below 1000 ppm and increases when humidity decreases. Even though the precise isotope
ratio–humidity calibration curve is likely to be different from one analyzer
to another, all laser-based water isotope analyzers investigated to date
have shown a strongly nonlinear response at low humidity levels (Guilpart
et al., 2017; Leroy-Dos Santos, 2020; Weng et al., 2020). At Concordia
station, even in summer, humidity is generally below 1000 ppmv (Fig. 6);
thus, the interpretation of the diurnal variability of the water vapor
isotopic composition is strongly affected by the dependency of the measured
<inline-formula><mml:math id="M172" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  signals on humidity at this site. Figure 6 displays such
diurnal variabilities during austral summer 2018–2019 at Concordia and the
consequently large correction of the isotopic records (uncorrected in gray
and corrected in black).</p>
      <p id="d1e3537">The data clearly demonstrate the importance of the humidity correction which generally shifts the curves to lower isotopic ratio values. However, the
difference between uncorrected and corrected data is particularly important
in the observation of the diurnal variability; this is better illustrated by
zooming in on a section of the data, as in Fig. 7. When looking
at the diurnal variability in the raw <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>
isotope data in detail, some periods stand out with two identified daily peaks: one in
phase with the humidity peak (marked in red in Fig. 7) and one occurring
during the period of minimum humidity (marked in blue in Fig. 7). The
strong nonlinearity of the calibration curve in Fig. 5 suggests that
artificial peaks in <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  could be due to
changing humidity levels. Indeed, after correcting the data for the humidity
dependence of the analyzer (black curve in Fig. 7), the isotopic peaks
occurring during humidity minima are diminished or disappear altogether,
whereas the peaks occurring during humidity maxima are amplified. More
strikingly, the phase of the signal changes by practically 180<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
over some periods. Whereas the raw isotope signal peaks during the night,
the corrected record shows higher isotope ratios during daytime. The diurnal
variability recorded on both raw and corrected isotopic values during a
period with a higher humidity level – hence when the isotope ratio–humidity
correction is smaller (around day 355 in Fig. 6) – also shows that the
<inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) diurnal cycles are indeed in-phase with the
humidity cycle. This result confirms the correlation between humidity cycles
and <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  of the water vapor at the daily scale
at Concordia, as reported by Casado et al. (2016). Thus, we conclude that the
anticorrelation of <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> with humidity
in the raw data (highlighted in blue in Fig. 7) during periods of
low humidity is an artifact due to the influence of the humidity level on
the vapor isotopic measurements by the L2130-i analyzer.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e3675">We have developed an autonomous instrument for low humidity generation (70
to 2400 ppmv) with controlled water vapor isotopic composition that is specifically
aimed at carrying out continuous measurements of the water vapor isotopic
composition using a laser-based spectrometer in regions characterized by
very low humidity, such as polar regions. If needed, an interface permits the user to
conveniently connect the new LHLG to the valve sequencer port of commercial
Picarro instruments. After more than 1 year of routine operation at two
Antarctic sites (Dumont d'Urville and Concordia), this instrument has proven
to be very reliable and robust. It consistently generates stable humidity
levels with a 1<inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> variability lower than 10 ppmv over more than 10 min. Moreover, its performance is significantly better than that of the
Picarro SDM at low humidity.</p>
      <p id="d1e3685">We used this instrument for the calibration of our water isotopic data with
a special focus on accurately quantifying the influence of humidity on the
measured isotopic composition of the water vapor. This effect is huge at
low humidity. We showed that this has an important impact on the
interpretation of the diurnal cycles of <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  in
the water vapor at Concordia station at humidity below 1500 ppmv. We
were able to confirm that, at this site, the diurnal <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>  variability is actually correlated with humidity variability,
which would not have been possible without the new LHLG instrument.</p>
      <p id="d1e3734">Finally, the development of such an instrument is an important step forward
to a better understanding of the transfer function between climate
parameters and the isotopic composition of deep ice cores from the remote
East Antarctic plateau, especially in the context of the new program
“Beyond EPICA – Oldest Ice”. It should be completed by ongoing development of laser
spectrometers better adapted to low humidity levels, such as those based on
the technique of optical feedback cavity-enhanced absorption spectroscopy
(OFCEAS)
(Casado
et al., 2016; Landsberg, 2014; Landsberg et al., 2014).</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e3741">The software (HumGen) can be downloaded online from
<uri>https://zenodo.org/record/4003465/#.YHMSmD-xWUn</uri>, (Jossoud and Leroy Dos Santos, 2020, last access: 6 April 2021).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3750">The data used in this paper are provided in the Supplement.</p>
  </notes><?xmltex \hack{\newpage}?><app-group>
        <supplementary-material position="anchor"><p id="d1e3754">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-14-2907-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-14-2907-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3763">CLDS, MC, FP and EK designed and built the instrument. OJ realized the
software interface development. CLDS, MC and AL installed the instrument in
Antarctica and tested it extensively. EK, SK, MF, AL and EF tested the
instrument in the laboratory. AL wrote the paper with input from all
co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3769">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3775">The development presented in this paper was largely inspired by the
initial PhD work of Janek Landsberg, which we gratefully acknowledge here.
The research leading to these results has received funding from the Prince Albert II of Monaco Foundation
“ANTARCTIC-SNOW” program, the ANR
“EAIIST” project and the ADELISE “CNRS-LEFE” program. The deployment of this instrument in
the field was made possible by the logistic support from the “NIVO2” and
ADELISE “IPEV” programs. We thank the two reviewers for their useful comments
which greatly improved the article.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3780">This research has been supported by the Prince Albert II of Monaco Foundation (grant no. 2487), the ANR (project EAIIST), CNRS-LEFE (project ADELISE) as well as by IPEV (grant no. 1110 and 1205).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3786">This paper was edited by Marc von Hobe and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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    <!--<article-title-html>A dedicated robust instrument for water vapor generation at low humidity for use with a laser water isotope analyzer in cold and dry polar regions</article-title-html>
<abstract-html><p>Obtaining precise continuous measurements of water vapor isotopic
composition in dry places (polar or high-altitude regions) is an important
challenge. The current limitation is the strong influence of humidity on the
measured water isotopic composition by laser spectroscopy instruments for
low humidity levels (below 3000&thinsp;ppmv). This problem is addressed by
determining the relationships between humidity and measured
<i>δ</i><sup>18</sup>O and <i>δ</i>D of known water standards. Here, we present the
development of a robust field instrument able to generate water vapor, down
to 70&thinsp;ppmv, at very stable humidity levels (average 1<i>σ</i> lower than 10&thinsp;ppmv). This instrument, operated by a Raspberry interface, can be coupled to
a commercial laser spectroscopy instrument. We checked the stability of the
system as well as its accuracy when expressing the measured isotopic
composition of water vapor on the VSMOW–SLAP (Vienna Standard Mean Ocean Water – Standard Light Antarctic Precipitation) scale. It proved to be highly
stable during autonomous operation over more than 1 year at the East
Antarctic Concordia and Dumont d'Urville stations.</p></abstract-html>
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