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  <front>
    <journal-meta><journal-id journal-id-type="publisher">HESS</journal-id><journal-title-group>
    <journal-title>Hydrology and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1607-7938</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/hess-26-5835-2022</article-id><title-group><article-title>Technical note: On uncertainties in plant water isotopic composition following extraction by cryogenic vacuum distillation</article-title><alt-title>Isotopic uncertainties in plant water following cryogenic water extraction</alt-title>
      </title-group><?xmltex \runningtitle{Isotopic uncertainties in plant water following cryogenic water extraction}?><?xmltex \runningauthor{H.~Diao et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Diao</surname><given-names>Haoyu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8404-1998</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schuler</surname><given-names>Philipp</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5711-2535</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Goldsmith</surname><given-names>Gregory R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Siegwolf</surname><given-names>Rolf T. W.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Saurer</surname><given-names>Matthias</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lehmann</surname><given-names>Marco M.</given-names></name>
          <email>marco.lehmann@wsl.ch</email>
        <ext-link>https://orcid.org/0000-0003-2962-3351</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Swiss Federal Institute for Forest, Snow and Landscape Research WSL, Birmensdorf 8903, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>CAS Key Laboratory of Forest Ecology and Management, Institute of Applied Ecology, <?xmltex \hack{\break}?> Chinese Academy of Sciences, Shenyang 110016, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>University of Chinese Academy of Sciences, Beijing 100049, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Schmid College of Science and Technology, Chapman University, Orange, CA 92866 USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Marco M. Lehmann (marco.lehmann@wsl.ch)</corresp></author-notes><pub-date><day>17</day><month>November</month><year>2022</year></pub-date>
      
      <volume>26</volume>
      <issue>22</issue>
      <fpage>5835</fpage><lpage>5847</lpage>
      <history>
        <date date-type="received"><day>3</day><month>May</month><year>2022</year></date>
           <date date-type="accepted"><day>28</day><month>October</month><year>2022</year></date>
           <date date-type="rev-recd"><day>24</day><month>October</month><year>2022</year></date>
           <date date-type="rev-request"><day>9</day><month>May</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Haoyu Diao et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022.html">This article is available from https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e149">Recent studies have challenged the interpretation of
plant water isotopes obtained through cryogenic vacuum distillation (CVD)
based on observations of a large <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> fractionation. These studies have hypothesized the existence of an H-atom exchange between water and organic tissue during CVD extraction with the magnitude of H exchange related to relative water content of the sample; however, clear evidence is lacking. Here, we systematically tested the uncertainties in the isotopic composition of CVD-extracted water by conducting a series of incubation and rehydration experiments using isotopically depleted water, water at natural isotope abundance, woody materials with exchangeable H, and organic materials without exchangeable H (cellulose triacetate and caffeine). We show that the offsets between hydrogen and oxygen isotope ratios and expected reference values (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>) have inversely proportional relationships with the absolute amount of water being extracted, i.e. the lower the water amount, the higher the <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>. However, neither <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> nor <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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, were related to sample relative water content. The <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> pattern was more pronounced for materials with exchangeable H atoms than with non-exchangeable H atoms. This is caused by the combined effect of H exchange during the incubation of materials in water and isotopic enrichments during evaporation and sublimation that depend on absolute water amount. The H exchange during CVD extraction itself was negligible. Despite these technical issues, we observed that the water amount-dependent patterns were much less pronounced for samples at natural isotope abundance and particularly low when sufficiently high amounts of water were extracted (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>). Our study provides new insights into the mechanisms causing isotope fractionation during CVD extraction of water. The methodological uncertainties can be controlled if large samples of natural isotope abundance are used in ecohydrological studies.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e285">Hydrogen and oxygen isotope ratios (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <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>)
in plant water are powerful tools for tracing the water movement of
ecosystems and providing information on the source water used by plants
(Goldsmith et al., 2017; Flanagan and Ehleringer, 1991; Brinkmann et al.,
2019; Nehemy et al., 2019). The most widely used approach for determining
the <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M14" 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 plant water is by first
extracting water from plants using cryogenic vacuum distillation (CVD)
method (Ehleringer et al., 2000; West et al., 2006; Ingraham and Shadel,
1992; Orlowski et al., 2013). Since no isotopic fractionation generally
occurs during plant water uptake (White et al., 1985; Zimmermann et al., 1967; Poca et al., 2019), it is generally believed that the isotope ratios
in stem water (root crown water for grasses) derived from the CVD extraction
(<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) are equal to that in the plant source water (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>source</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). However, an increasing number of studies have found that
<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, especially <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, does not actually
reflect plant source water, as shown by a strong negative <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>
offset (<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</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">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>source</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) between CVD-extracted water and source water (Lin
and Da S. L. Sternberg, 1993; Zhao et al., 2016; Barbeta et al., 2020; Allen
and Kirchner, 2022; Newberry et al., 2017). This issue is important because
it may invalidate conclusions on plant water uptake patterns and the
partitioning of different pools of water in an ecosystem (Allen et al.,
2019; Gessler et al., 2022; Goldsmith et al., 2012; Evaristo and Mcdonnell,
2017).</p>
      <p id="d1e444">A critical hypothesis for the observed <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> is the spatial
heterogeneity of hydrogen isotope composition of water in stems (Zhao et
al., 2016; Barbeta et al., 2020), i.e. isotopic differences between stem
conductive and nonconductive tissues, and isotopic differences from inside to
outside along the stem radial direction. This hypothesis was rejected by
Chen et al. (2020). The authors rehydrated dry stem samples of saplings of nine plant species in excess of a reference water with a known isotopic composition for 24 h and then CVD-extracted the water that had soaked into the material. They concluded that the observed negative <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> was not caused by within-stem isotope heterogeneity, but was more likely related to a hydrogen atom (H) exchange between stem water and the exchangeable H of stem organic tissue that occurs during the CVD extraction. In woody tissue, oxygen-bound H atoms can exchange with those in surrounding liquid water and water vapour. Theoretically, about 30 % to 50 % of the H atoms of cellulose and its precursors are exchangeable (Schuler et al., 2022; Filot et al., 2006). If the CVD extraction disturbs the previously established isotopic equilibration between organic tissue and tissue water because of the gradually isotopically enriched tissue water during extraction, the potential H exchange would affect ecohydrological interpretations of <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> (Barbeta et al., 2020; De La Casa et al., 2022). However, Chen et al. (2020) were unable to isolate the
H exchange that occurred during the extraction. This is because their
experimental design included two possible H exchange steps: one that occurs
during rehydration (hereinafter referred to as “H exchange during
rehydration”) and a second one that occurs during the extraction itself
(hereinafter referred to as “H exchange during extraction”). Only the
latter is of interest, because it is the H exchange process that
theoretically affects the isotopic composition of CVD-extracted water from
actual plant samples. However, empirical evidence for the occurrence of
H exchange and its effects on <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during rehydration and/or extraction is still lacking.</p>
      <p id="d1e503">Moreover, the study of Chen et al. (2020) also found a
significant positive correlation between <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and sample
relative water content (RWC). They posited that the H exchange effect was
probably dampened at high RWC. This correlation has also been found for both
<inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> (i.e. <inline-formula><mml:math id="M28" display="inline"><mml:mrow><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>CVD</mml:mtext></mml:msub><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>source</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) in soil samples (Wen et al.,
2021). However, using cellulose in wood as an example, much of the O-bound H
is engaged in H bonding that links cellulose fibrils together, i.e. the
non-freely exchangeable “bridging hydrogen” (Sepall and Mason, 1961;
Meier-Augenstein et al., 2014), which requires high temperatures
(<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) for accessing (Schuler et
al., 2022). As such, the freely exchangeable H in cellulose is theoretically
only about 5 % (Sepall and Mason, 1961; Meier-Augenstein et al., 2014).
If the magnitude of H exchange effect during extraction is therefore
moderate, the observed <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> would be more readily attributed to
isotopic fractionation and mixing that occur after the water is extracted
from the sample. If this were to be true, what really matters would not be
the RWC, but rather the absolute amount of water being extracted
(hereinafter referred to “absolute water amount (AWA)”). The effects of
AWA on extraction uncertainties could influence both <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> through fractionation during CVD extraction. However, no
studies have tested the effect of sample water amount on the CVD extraction
biases yet, and the CVD extraction uncertainties during liquid–vapour phase
changes are not well known.</p>
      <p id="d1e637">During the CVD extraction, successive isotope fractionation processes occur
at each phase change of the water (liquid–vapour–solid–liquid). When liquid
sample water is distilled to water vapour, isotope fractionation is expected
if incomplete extraction occurs (Orlowski et al., 2013; West et al.,
2006). When the water vapour is trapped by liquid nitrogen and turns into
solid ice, a sublimation isotope fractionation is also expected. Studies
testing the sublimation of pure water ice at low temperatures into a vacuum
have shown that the sublimated percentage of the bulk water aliquot was
<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> % within 1 h at <inline-formula><mml:math id="M35" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>100 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and the sublimation rate
decreased drastically with the decrease of temperature in the cold trap
(Mortimer et al., 2018; Lécuyer et al., 2017). Given the fact that
the extracted water is frozen at such a low temperature (<inline-formula><mml:math id="M37" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>196 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>)
during CVD extraction, negligible amounts of water should be released into
the vapour phase by sublimation during the extraction. Nevertheless, an
observable enrichment of the residual ice is still possible as the water
lost to the vapour phase is isotopically depleted (Lécuyer et al.,
2017; Mortimer et al., 2018). In addition, isotope fractionation related to
evaporation and mixing with water vapour in the laboratory probably occur
during the end of the CVD extraction (i.e. mixing of the extracted water
with air humidity of the lab air when the water traps are removed from the
extraction system). Although this can be partly avoided by flushing the
extraction line with <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas, isotope fractionation can occur when the
extracted and frozen water thaws in the water collection tube and when it is
transferred to storage vials. A better understanding of these individual
isotope fractionation processes during CVD extraction would not only aid in
identifying the potential sources of methodological biases
(Schoppach and Klaus, 2019) and improving the instrumentation, but
also contribute to better estimates of plant water sources by mitigating
their effects.</p>
      <p id="d1e701">To investigate these open questions, we systematically tested for biases
induced by CVD extraction of plant water. A series of experiments that
involved extracting water from different kinds of materials (with and
without exchangeable H) that were incubated or rehydrated using isotopically
depleted water and from plant samples at natural isotope abundance were
conducted. Specifically, we hypothesized that the <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> is
influenced by (i) an H-exchange effect, whereas both <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> are influenced by (ii) tissue AWA, and (iii) evaporation
and sublimation enrichments. The lower the AWA, the higher the H-exchange
effect and evaporation and sublimation fractionation, and the higher the
<inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Experiment 1: testing the overall H-exchange effect</title>
      <p id="d1e784">For evaluating the overall effect of H exchange during both rehydration and
extraction on the <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 of CVD-extracted water, we conducted an incubation experiment by adding different
amounts of strongly depleted reference water (<inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>:
<inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>465.9 ‰; <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>: <inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>174.2 ‰; hereafter referred to as <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) to the same amount of
different dried materials with and without exchangeable H (experiment 1,
Fig. 1). The isotopically depleted water was used to make potential isotope
effects more evident.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e867">Overview of the experimental designs. <inline-formula><mml:math id="M52" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>, isotopic offset;
<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, isotope composition of CVD-extracted water; <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, isotope composition of the reference water;
<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, isotope composition of the reference water after
rehydration; <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after evap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, isotope composition of the
reference water after the evaporation; <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD_ave</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
the average value of isotope composition of the CVD-extracted water; <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>tap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, isotope composition of the tap water; RT, room temperature; RH,
relative humidity.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022-f01.png"/>

        </fig>

      <p id="d1e950">The materials with exchangeable H included stem pieces, stem powder,
purified stem cellulose powder, and twig pieces. The stem materials were
obtained from the xylem of a trunk disc of a mature <italic>Larix sibirica</italic> grown in Siberia (27 cm
diameter, 4 cm thickness). We cut a portion of xylem (a mixture of sap wood
and heart wood) from the trunk disc and oven dried it to constant weight
before preparing for stem pieces, powder, and cellulose materials. Stem
pieces were prepared by cutting the xylem of the disc into 4 mm cubes, while
the stem powder was prepared by grinding the same material to a homogeneous
powder using a steel-ball mill (MM400, Retsch GmbH, Haan, Germany). The stem
cellulose was then extracted from ground stem powder (Schuler
et al., 2022). The twig pieces were obtained from five young <italic>Larix decidua</italic> trees growing
in a forest in Birmensdorf, Switzerland (47.36<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 8.45<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E). Two twigs per tree were collected in the morning, outer bark and phloem
removed. The twig xylem was oven dried at 60 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 h then cut
into 2 mm pieces.</p>
      <p id="d1e990">The materials without exchangeable H were cellulose triacetate and caffeine.
The cellulose triacetate (<inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">54</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">27</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; Sigma-Aldrich, St.
Louis, MO, USA, prod. no. 22199) is a white granule. The caffeine material
is <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">99</mml:mn></mml:mrow></mml:math></inline-formula> % caffeine anhydrous (<inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; Fluka
Chemie AG, Buchs, Switzerland, prod. no. 27600) in a white crystalline
powder form. All H atoms in cellulose triacetate and caffeine are bound to
carbon in a form of methyl group (<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and thus non-exchangeable with
vapour or liquid water. Cellulose triacetate and caffeine are anhydrous
chemicals and were stored in a cool/dry place.</p>
      <p id="d1e1063"><?xmltex \hack{\newpage}?>For each material and each different water amount (50, 100, 200, 400, 600,
800, and 1200 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>), three replicates were prepared by transferring 200 mg of
each material into 12 mL gas-tight glass vials (Exetainer; Labco, Lampeter,
UK). The amount of material was chosen because of practical considerations
and to generate a range of water/biomass ratios. The materials were oven
dried in the vials with caps open at 60 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 h to remove any
remaining moisture in the material. In total, the materials with
exchangeable H were oven dried at 60 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for at least 48 h, and the
materials without exchangeable H were oven dried at 60 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 h
because they are dried chemicals and were properly stored. After drying, the
vials were closed and the samples were cooled down to room temperature, then
we opened the cap to inject the reference water into the vials. Depending on
the form of the material, the low water amounts (e.g. 50 and 100 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>)
could not fully wet the material, whereas the high water amounts (e.g.
<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>) oversaturated the material. Then, the vials were
sealed and the materials were incubated for 24 h at room temperature.
According to Chen et al. (2020), this incubation time
is thought to lead to a full exchange of H atoms between materials and
reference water. As a control, the experiment was repeated without any
material by adding only the range of reference water into the vial. All
samples were frozen at <inline-formula><mml:math id="M73" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and then extracted with CVD. <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was calculated as <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1188">In addition, to evaluate how effective our drying procedure was and how
opening the cap for injecting the reference water influenced the dried samples,
we conducted a drying test. In the test, 200 mg stem pieces, stem powder, and
caffeine with five replicates were transferred into the vials, then caps closed
and weighted. We oven dried the samples without caps for 48 h either at
60 or at 105 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Every 12 h during the drying, we
closed the caps in the oven then transferred the vials to a balance for
weighting. After the last weighting, we opened the cap of the vials for 5 s in the lab to simulate the procedure of injecting the reference
water. Then the cap closed and samples were weighted again. The percentage
of moisture that was removed from the initial sample at different
temperatures and hours and the percentage of moisture that was absorbed by
the dried sample in the 5 s were calculated (Table S2 in the Supplement).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experiment 2: testing the effects of the absolute water amount and relative water content</title>
      <p id="d1e1211">For separating the H exchange effects on <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 occurring during rehydration from those occurring during
extraction, we extracted water from a range of rehydrated stem segments with
different sizes (experiment 2, Fig. 1).</p>
      <p id="d1e1240">Large stem segments (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> cm) were cut from the <italic>L. sibirica</italic> disc (see Sect. 2.1) and oven-dried at 60 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 h before the experiment. We firstly determined the saturated water content of the large stem segments by weighing them before and after they were soaked in excess of deionized water for 24 h. The saturated water content was determined for estimating the AWA of the following smaller stem segment samples. The large stem segments were then oven dried again at 60 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 24 h and cut into smaller stem segments with different sizes, aiming to generate a range of samples with a narrow RWC (ca. 40 %), but varying in their AWA from 50–1200 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>. The sizes of the small segments were determined based on the proportional relationship between the size and the saturated water content of the large stem segments. Three replicates were produced for each size. Then, the small stem segments were separately soaked in excess of the isotopic depleted reference water (ca. 25 mL) in sealed glass vials at room temperature for 24 h, following Chen et al. (2020). During the 24 h rehydration, the isotope ratios of the original reference water equilibrated with the exchangeable H in the small stem segments. Thus, by the end of the rehydration, the isotope ratios of water in the small stem segments are assumed equal to the isotope ratio of the reference water after rehydration (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and not to be equal to the original reference water (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). Subsequently, the small stem segments were taken out of the reference water, the surface water shaken off, and then immediately sealed in vials and frozen at <inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> to prevent evaporation. A sample of the reference water after the rehydration was taken from each tube for determining <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The AWA and the RWC of each small stem segment sample were calculated by comparing the sample weights before and after the extraction. Here, the RWC is defined as <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mtext>wet weight</mml:mtext><mml:mo>-</mml:mo><mml:mtext>dry weight</mml:mtext><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mtext>wet weight</mml:mtext></mml:mrow></mml:math></inline-formula>, its unit is parts per hundred (%). In experiment 2, <inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was calculated as <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. This is because it represents the changes in isotope ratios of the water that occurred during the CVD extraction alone.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Experiment 3: testing sublimation and evaporation effects</title>
      <p id="d1e1411">For evaluating the potential effects of sublimation and evaporation during
CVD extraction on the isotope ratios of the extracted water, different
amounts of reference water (50–1200 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> range as above) were added
directly into the u-shaped water collection tubes (i.e. in the cold trap)
of the CVD extraction system without sample material and then extracted for
2 h following a standard procedure (see Sect. 2.5). The water in the collection
tubes was first frozen by the liquid nitrogen cold trap to avoid potential
evaporation effects, then the collection tubes were attached to the
extraction line for CVD extraction. The experimental design allows us to
exclude isotope fractionation related to distillation and condensation
occurring when water in the sample vial was relocated to the collection tube
(i.e. U-tube), but captures isotope fractionation related to sublimation of
the frozen water under the vacuum and evaporation during thawing of water
after CVD extraction (experiment 3, Fig. 1). <inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was calculated as
<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e1449"><?xmltex \hack{\newpage}?>For isolating the evaporation effect from the sublimation effect, we also
added different amounts of reference water (50–1200 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> range as above)
into 2 mL glass vials inside a climate chamber (PGR15, Conviron, Manitoba,
Canada). The samples were then left to evaporate with lids open at
25 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and 50 % relative humidity (RH) for 2 h. The samples in
the 2 mL glass vials did not require the CVD extraction. The exposed surface
area of the water in the 2 mL glass vials was about 64 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">mm</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. Three
replicates per water amount were performed for both tests (experiment 3, Fig. 1). Notably, CVD extraction was not used for the evaporation test in the
climate chamber, thus the <inline-formula><mml:math id="M98" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was calculated as the difference between
the isotope ratios of the reference water after and before the evaporation
(i.e. <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after evap</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Experiment 4: extraction tests using samples at isotope natural abundance</title>
      <p id="d1e1519">In order to test whether the CVD-related isotope fractionation, which was
observed with labelled water, can also be seen at natural isotope abundance,
we performed extractions with tap water and fresh <italic>L. decidua</italic> twigs with natural
isotope abundance to compare with results derived from tests with
isotopically depleted reference water. For the tap water (<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>tap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>;
<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>: <inline-formula><mml:math id="M102" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.91 ‰, <inline-formula><mml:math id="M103" 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="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.43 ‰), the different amounts of water (i.e. 50,
100, 200, 400, 600, 800, and 1200 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>) were added into the vials and kept
frozen at <inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> until CVD extraction (experiment 4, Fig. 1). The
twigs were collected from five young <italic>L. decidua</italic> trees growing in a forest in
Birmensdorf, Switzerland (see Sect. 2.1). The twig xylem was cut to different
lengths (1, 2, 3, 4, 5, 6, 7, and 8 cm) and sealed in vials. The AWA and RWC
of each twig sample were determined by weighing before and after CVD
extraction. Three replicates were performed per water amount and twig length
(experiment 4, Fig. 1). For the extraction with tap water, the <inline-formula><mml:math id="M108" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was
calculated as <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>tap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. The isotope ratios of
the source water of the <italic>L. decidua</italic> twigs before extraction were unknown, thus the
<inline-formula><mml:math id="M110" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> in this case was calculated as the difference between the <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the average value of <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(i.e. <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD_ave</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Water extraction and stable isotope analysis</title>
      <p id="d1e1694">We extracted water using a CVD setup similar to the one described by
Orlowski et al. (2013). A schematic overview of this setup
is shown in Fig. S1 in the Supplement. During extraction, the pressure inside the system was
maintained below 0.05 mbar using a vacuum pump. The sample tubes were
additionally blocked by PP fiber filters (Nozzle protection filter, Socorex
Isba SA, Ecublens, Switzerland) when water was extracted from powder/pieces
of the selected materials to avoid particles being drawn into the U-tubes
with the extracted water or the vacuum pump (BS2212, Brook Crompton Ltd,
Doncaster, UK). The samples in the sample tubes were heated in 80 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> water, and the extracted water was condensed and trapped in the collection
tubes by liquid nitrogen. The extraction was maintained for 2 h to achieve a
complete extraction (West et al., 2006). After the
extraction, the vacuum inside the system was released by adding dry nitrogen
gas until atmospheric pressure conditions were reestablished. Then the
collection tubes with frozen water samples were detached from the system and
sealed with rubber plugs. The water in the collection tubes was thawed at
room temperature. During this process, the evaporated water vapour usually
condensed to form very small water droplets on the inside walls of the
collection tube. We consolidated and collected as many of these small water
droplets as possible and transferred them into glass vials (350 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> or 2 mL, depending on the extracted water amount; Infochroma AG, Goldau,
Switzerland) using a pipette. Syringes and 0.45 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> nylon filters were
used if the extracted water appeared to be turbid. The samples were stored
at <inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> before and after the extraction.</p>
      <p id="d1e1748">The <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <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> of water samples were measured
with a high temperature conversion elemental analyser coupled to a
Delta<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mtext>Plus</mml:mtext></mml:msup></mml:math></inline-formula> XP isotope ratio mass spectrometer (TC/EA-IRMS; Finnigan MAT,
Bermen, Germany). The <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">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M123" 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> in the
materials without exchangeable H (i.e. cellulose triacetate and caffeine)
and <inline-formula><mml:math id="M124" 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> in the bulk organic matter of the materials with
exchangeable H were measured with a vario PYRO cube (Elementar
Analysensysteme GmbH, Langenselbold, Germany) coupled to a Delta<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mtext>Plus</mml:mtext></mml:msup></mml:math></inline-formula> XP
IRMS. Isotope ratios are reported in per mille (‰)
relative to Vienna Standard Mean Ocean Water (VSMOW). Calibration versus the
international standards was achieved by analysis of a range of certified
water of different isotope ratios, resulting in a precision of analyses of 2 ‰ for <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">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and 0.3 ‰ for
<inline-formula><mml:math id="M127" 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>. The non-exchangeable <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> (<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">2</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mtext>ne</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of the materials with exchangeable H was determined by
pre-treating the materials with a high-temperature water vapour
equilibration method according to Schuler et al. (2022). The
<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M131" 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 of the materials used in the
experiments are shown in Table S1 in the Supplement.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Statistical analyses</title>
      <p id="d1e1925">To determine if the sample water <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M133" 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 were significantly different before and after the CVD extraction, we
performed one-sample t-tests for <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 to test if they were significantly different from 0. We fit
relationships between <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> as a function
of AWA using inversely proportional models, and the relationships between
<inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> as a function of RWC using linear
models for the best description of the relationships. The relationships
between <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> as a function of RWC were
also tested using a linear mixed-effects model with AWA category (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>) as a random effect
with the lmerTest package (Kuznetsova et al., 2017). All
statistics were performed using R version 4.0.4 (R Core Team, 2021).</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>H exchange occurs between sample exchangeable H and water during rehydration</title>
      <p id="d1e2111">Experiment 1 revealed an inversely proportional relationship between the AWA
and the <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 of the water derived
from material with or without exchangeable H (Fig. 2). In other words, the
lower the AWA, the higher the <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 both <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>, the differences among
samples at <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> were much smaller compared to those
at <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>. Noticeably, <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> of the water
derived from materials with exchangeable H showed a more pronounced pattern,
which reached about 150 ‰ at 50 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> AWA, compared to
those without exchangeable H (Fig. 2a and b). In contrast, the <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> pattern of the water derived from materials without exchangeable H
was similar to that of the pure reference water, which reached about
30 ‰ at 50 <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> AWA (Fig. 2b). For <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>,
the patterns were similar among materials with and without exchangeable H,
showing an average decrease from 32 ‰ at 50 <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> to
1.7 ‰ at 1200 <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 2c and d).</p>
      <p id="d1e2317">The results of experiment 1 suggest that the H exchange during rehydration
is mainly responsible for the large <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> differences between
materials with and without exchangeable H at the low water amounts. This can
likely be explained by an isotope mass balance between the exchangeable H in
the samples (natural isotope abundance) and H atoms in the reference water
(isotopically depleted), with the impact of the exchangeable H of a constant
sample size (200 mg) becoming less noticeable as the amount of water
increases (from 50 to 1200 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>). Our results thus provide empirical
evidence that H exchange occurs during rehydration of material and that this
artefact must be considered in rehydration experiments (Chen et al.,
2020; Zhao et al., 2022). However, our experiments cannot provide any
evidence for the de- and rehydration of plants under natural conditions
(i.e. changes in plant relative water content) which can potentially affect
isotope composition of plant water (De Deurwaerder et al., 2020; Barbeta
et al., 2022). The effect of rehydration under field conditions could be
quantified by additional experiments using water with an isotopic
composition distinct from that normally expected in soils.</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="d1e2345">Absolute water amount effects on <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 <bold>(a, b</bold> and <bold>c, d</bold>, respectively<bold>)</bold> of water derived from
materials with and without exchangeable H <bold>(a, c</bold> and <bold>b, d</bold>,
respectively<bold>)</bold>, of a constant weight (200 mg). Material with exchangeable H
differ in their structural composition (pieces vs. powder). “Reference
water” reflects a control performed with water but without any material.
<inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 2.1). The dashed
lines represent <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, with grey shading to represent the SD of
the reference water isotope analyses (2 ‰ for <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; 1.5 ‰ for <inline-formula><mml:math id="M169" 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="M170" display="inline"><mml:msub><mml:mi/><mml:mtext>ref</mml:mtext></mml:msub></mml:math></inline-formula>).
The curves are inversely proportional fits. Mean values <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD are
shown (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022-f02.png"/>

        </fig>

      <p id="d1e2495">Moreover, the <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> of the stem and twig pieces were higher than
that of the stem and stem cellulose powder when <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>
(Fig. 2a), whereas no differences were observed for <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> (Fig. 2c). At a first glance, this is unexpected because woody pieces should be
less prone to H exchange due to lower surface area and because the OH groups
are locked in the matrix of the woody structure (Sepall
and Mason, 1961). A possible explanation for the observed <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>
discrepancies might be an isotopic difference in the exchangeable H of
pieces and powdered samples before the start of the experiment. However, if
this was true, the effect should be more visible at lower water amounts
rather than higher water amounts, as observed in this study. We therefore
can conclude that the sample matrix may also influence H exchange in
rehydration experiments, but that the underlying mechanisms remain
speculative. Besides, we additionally tested whether the drying procedure
(oven drying at 60 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) in experiment 1 influenced our results. The
test showed that all the tested materials were dried to a constant weight
after 36 and 12 h at 60 and 105 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, respectively,
despite more moisture being removed at 105 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Table S2).
Interestingly, after opening the cap for 5 s to simulate injection of
reference water, the amount of absorbed lab water vapour relative to the dry
weight was about 1 % higher for the samples which were dried at
105 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> than the samples which were dried at 60 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Table S2). These results indicate that a complete drying is very difficult in our
case, regardless of drying temperature. However, the test provides evidence
that only small amounts of remaining moisture remain in the sample after
drying and that the reabsorption should not affect the isotopic results of
our study, because strongly depleted reference water was used to amplify the
isotopic effect.</p>
      <p id="d1e2620">Unexpectedly, <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> values of the pure reference water and of
material without exchangeable H, as well as <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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, all
show a dependency on AWA (Fig. 2b–d). This observation indicates that
<inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values can be biased even when no exchangeable H in plant
material is available, and suggests that other factors than H exchange play
an important role in biasing isotopic results of CVD-extracted water.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Absolute water amount not relative water content causes isotope fractionation during CVD extraction</title>
      <p id="d1e2664">To better understand the unknown isotopic effects during extraction, we
performed experiment 2, where we separated the effects between rehydration
and extraction on CVD-extracted water along a similar AWA gradient (50–1600 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>), but in a narrow RWC range (36 %–45 %, Fig. 3). The results
confirm the inversely proportional pattern of <inline-formula><mml:math id="M187" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> along an AWA
gradient as shown by experiment 1 (Fig. 2). More importantly, the results
show that <inline-formula><mml:math id="M188" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values of water extracted from stem material that has
been previously rehydrated were similar (Fig. 3a and c) to that extracted
from materials without any exchangeable H (Fig. 2b and d), when the isotope
ratio of the reference water after rehydration (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) instead of the reference water was considered. This shows that the
H-exchange effect during extraction (i.e. all steps after the rehydration
procedure) is negligible and cannot be the main reason for observed isotopic
offset between expected and measured isotope ratios in water of stem
material (Bowers and Williams, 2022).</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="d1e2704">Effects of absolute water amount and relative water content <bold>(a, c</bold> and <bold>b, d</bold>, respectively<bold>)</bold> on <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 water derived from the stem segments <bold>(a, b</bold> and <bold>c, d</bold>, respectively). The stem segments were rehydrated in excess of the reference water followed by a CVD extraction. <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after rehyd</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 2.2). The relationship between AWA and <inline-formula><mml:math id="M193" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was fit with an inversely proportional function; the relationship between RWC and <inline-formula><mml:math id="M194" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was fit with a linear regression. The dashed lines represent <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. Different colours were used to visually separate data with water amount <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> (red) and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> (blue).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022-f03.png"/>

        </fig>

      <p id="d1e2834">This finding is in contrast to the conclusions made by
Chen et al. (2020), stating that stem water CVD
extraction error could originate from a dynamic H exchange between sample
and water during extraction. The reason for the lack of H-exchange effect
during the 2 h CVD extraction itself is probably because the duration for
the H exchange was too short to fully exchange. Previous research shows that
a large portion of the water in the sample is expected to be extracted
within the first 30 min of extraction (Orlowski et al., 2013; West et
al., 2006). Thus, there may not be a strong H exchange occurring between the
water and sample tissue, especially when a large portion of exchangeable H
atoms are not freely accessible at the extraction temperature of
80 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> (Sepall and Mason, 1961). The duration
of rehydration might be another factor that potentially affected our results
of the rehydration experiments (experiment 1 and 2). According to
Chen et al. (2020), a complete equilibration between
sample exchangeable H and reference water during rehydration can be achieved
within 24 h, given water of a sufficiently large volume. In experiment 2 of
our study, the rehydration was also conducted in an excess of reference
water for 24 h. The AWA-dependence of <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> values of stem
segments in experiment 2 (Fig. 3a) was found to be similar to that of the
pure reference water and materials without exchangeable H extractions in
experiment 1 (Fig. 2b). This likely confirmed that a full equilibrium was
achieved during our 24 h rehydration. Nevertheless, the duration, sample
size, and amount of water should be considered in future rehydration studies.</p>
      <p id="d1e2863">We found a weak, positive linear trend in <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> with RWC (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. 3b), but not for <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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="M205" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.08</mml:mn></mml:mrow></mml:math></inline-formula>,
Fig. 3d). The trend in <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> can be explained by the fact that
samples with a smaller AWA (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>) had a ca. 2 % higher
RWC compared to those with a higher AWA (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>). The
relationships between both <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> as a
function of RWC were not statistically significant when AWA was considered
as a random factor (AWA with 2 levels: <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. 3 and Table S3 in the Supplement). This indicates that the
<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 are dependent on AWA rather
than on RWC of the sample. Our result is not consistent with
Chen et al. (2020), who found a significant positive
correlation of stem RWC with the <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> in a rehydration
experiment and further recommended determining sample RWC for correcting CVD
artefacts. However, our results are well supported by the recent study of
Zhao et al. (2022), who CVD-extracted water from rehydrated
samples of 12 woody plant species and analysed <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values. The RWC of
their samples ranged from 30 %–60 % and no significant relationships were
found between both <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 RWC.
Therefore, the relatively smaller sample RWC range in our study (ca. 10 %)
compared to that in Chen et al. (2020), i.e. ca.
20 % for most samples, could not be the reason for the inconsistency of
the two studies. Further, given that AWA is typically not reported, we could
not test whether the AWA or RWC caused the effect in previous studies. We
highlight that the AWA rather than the RWC of a sample should be considered
to potentially correct for <inline-formula><mml:math id="M222" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> offsets, and that future studies should
report AWA in order to quantify the CVD-induced isotopic biases across
laboratories.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>On the processes causing isotope fractionation during CVD extraction</title>
      <p id="d1e3134">In order to better understand the processes leading to isotope fractionation
during CVD, we performed an additional experiment (experiment 3). In this
experiment, different amounts of reference water were either injected
directly into the collection tubes then subject to CVD extraction, or
subject to controlled evaporative conditions in a climate chamber for 2 h.
Interestingly, experiment 3 shows that both <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 of reference water, that was directly transferred to the
cold trap (i.e. U-tubes), also followed the inversely proportional pattern
as a function of AWA (Fig. 4a). At the lowest AWA, <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> reached
about 19 ‰, while <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> reached about
9 ‰. For <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>, the average
<inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> were <inline-formula><mml:math id="M231" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5 ‰ and
<inline-formula><mml:math id="M232" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3 ‰, respectively, and both were significantly
different from 0 (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.13</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.34, <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mtext>df</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). We
suppose that the negative <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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
the <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> were purely caused by the analytical
uncertainty, because no incomplete extraction could occur given that the
reference water was added directly into the collection tube. The same
inversely proportional pattern was observed when water was evaporated under
controlled conditions in a climate chamber, whereby <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> reached
about 46 ‰ and <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> reached about
23 ‰ at the lowest AWA. For <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mtext>AWA</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>,
average <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> was about 3 ‰ and significantly
different from 0 (<inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12.15</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mtext>df</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). No significant
difference from 0 was found for <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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="M250" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mtext>df</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>). By comparing these results with the one of 50 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> of reference
water that was extracted from the sample tube (Fig. 2b), the sublimation and
evaporation isotope fractionation account for 59 % and 38 % of the
observed <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>, respectively. The
unaccounted isotope fractionation may originate from distillation and
condensation, when water in the sample tube was relocated to the water
collection tube.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3533">Absolute water amount effects on <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and
<inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> of the reference water that was directly added into the water
collection tube before CVD extraction (blue), or evaporated in a climate
chamber (red). For the former, <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; for the latter,
<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref after evap</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 2.3). The dashed lines represent <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>,
with grey shading to represent the SD of the reference water isotope
analyses (2 ‰ for <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; 1.5 ‰ for <inline-formula><mml:math id="M262" 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="M263" display="inline"><mml:msub><mml:mi/><mml:mtext>ref</mml:mtext></mml:msub></mml:math></inline-formula>). The curves are
inversely proportional fits. Mean values <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD are shown (<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022-f04.png"/>

        </fig>

      <p id="d1e3692">Two potential reasons can explain this water amount-dependent pattern of
<inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>. On the one hand, a bi-directional exchange between water droplets
and water vapour may lead to an isotopic equilibration between the two
sources, similar to observations at the leaf level (Lehmann et al., 2020;
Goldsmith et al., 2017). This process is expected to occur when the
extracted water drop was thawing inside the water collection tube after
extraction. The equilibration effect was presumably large on our extracted
water, because of a high isotopic discrepancy between the water vapour of
the laboratory (at natural isotope abundance) and the isotopically depleted
reference water. The effect is expected to increase as the water pool size
decreases, because the smaller the water droplets, the larger the ratio of
water vapour volume to water droplets volume in the water collection tube.
Therefore, isotope ratios of smaller water amounts were subject to greater
influence of the isotopic composition of the laboratory water vapour. On the
other hand, the sublimation, evaporation, and/or exchange with surrounding
water vapour occurs at the surface of water drops
(Stewart, 1975). The smaller the water drop, the larger
the ratio of the enriched surface water to the total water drop volume.
Thus, the mixing effect of enriched surface water and the rest of the water
body would be greater for smaller water drops.</p>
      <p id="d1e3703">Taken together, our results clearly show that the inversely proportional
pattern of <inline-formula><mml:math id="M267" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> along AWA is partly influenced by the isotope fractionation during water sublimation and evaporation during CVD extraction. We therefore conclude that isotope fractionation rather than H-exchange effects with plant material during extraction itself should be considered as factors during CVD extraction of plant water. It should be noted that although our experiments were mainly conducted on samples of <italic>Larix</italic>, the AWA-dependent patterns of <inline-formula><mml:math id="M268" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> were consistent among extractions with different materials and even pure water. This indicates that the CVD
biases we observed on <italic>Larix</italic> may also be applicable to other taxa. The magnitude of the biases may be slightly different among species (Zhao et al., 2022; Chen et al., 2020; De La Casa et al., 2022), but the AWA-dependency of the biases should show consistency. We also want to highlight that the observed isotope fractionation likely depends on the setup (e.g. system volume) of the CVD extraction system. Therefore, further laboratory comparisons for plant water extraction using different woody and herbaceous plant species are needed for constraining this extraction bias.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Relevance for isotope fractionation during CVD extraction for samples at natural isotope abundance</title>
      <p id="d1e3734">The large isotopic discrepancy between the strongly depleted reference water
and the plant tissue organic matter allowed us to investigate the processes
and mechanisms driving isotope fractionation during CVD extraction. However,
plant water at natural isotope abundance is typically more enriched compared
to our reference water (<inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>: <inline-formula><mml:math id="M270" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>465.9 ‰;
<inline-formula><mml:math id="M271" 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="M272" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>174.2 ‰) and therefore the observed
isotopic effects of this study are likely less pronounced at natural isotope
abundance. This was true, as shown by the results of experiment 4; the
inversely proportional pattern was less pronounced or absent with plant
samples (average values in <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M274" 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
extracted water: <inline-formula><mml:math id="M275" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>58.16 ‰ and <inline-formula><mml:math id="M276" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.84 ‰, respectively), or when tap water (<inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>:
<inline-formula><mml:math id="M278" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>73.91 ‰; <inline-formula><mml:math id="M279" 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="M280" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.43 ‰) was used (Fig. 5). For the pure tap water extraction, <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula>
decreased from 3 ‰ at 50 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> to
<inline-formula><mml:math id="M283" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5 ‰ at 1200 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula>, while <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> decreased
from 2 ‰ at 50 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 ‰ at
1200 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. 5a and c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3942">Absolute water amount and relative water content effects <bold>(a, c</bold> and <bold>b, d</bold>, respectively<bold>)</bold> on <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>(a, b</bold> and <bold>c, d</bold>, respectively<bold>)</bold> of water at natural isotope abundance. For
water of <italic>Larix decidua</italic> twig xylem, <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD_ave</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>;
while for the tap water,
<inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>CVD</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>tap</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see Sect. 2.4). The relationship between water
amount and <inline-formula><mml:math id="M293" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> was fit with an inversely proportional function. The
dashed lines represent <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>. For <bold>(a)</bold> and <bold>(c)</bold>, mean values <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD are shown (<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/5835/2022/hess-26-5835-2022-f05.png"/>

        </fig>

      <p id="d1e4091">The possible explanations for the large difference in the magnitude of the
<inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> pattern between the reference (Fig. 2b and d) and tap water
extractions (Fig. 5a and c) are that the isotope fractionation during CVD
extraction is dependent on the initial water isotope ratios and/or the
influence from isotope ratios of the surrounding water vapour. Regarding the
former, water evaporation tests using water with different isotope ratios
(<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> range: <inline-formula><mml:math id="M299" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.7 ‰ to <inline-formula><mml:math id="M300" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>57.5 ‰; <inline-formula><mml:math id="M301" 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> range: 3.4 ‰ to <inline-formula><mml:math id="M302" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.8 ‰) showed that the <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M304" 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 of the initial water
have little influence on water evaporation isotope fractionation conducted
by Hu et al. (2009). In other words, for water with different initial isotope ratios evaporating in the same conditions, the changes in <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M306" 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> would be almost the same. Therefore, the initial water isotope ratios would not be the reason for the significant <inline-formula><mml:math id="M307" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> difference between the reference water and the tap water extraction.</p>
      <p id="d1e4209">It is therefore possible that the difference in <inline-formula><mml:math id="M308" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> between reference
water and tap water extractions is caused by the exchange of extracted water
with the water vapour in the laboratory. The isotope ratios of the
laboratory water vapour are closer to that of the tap water and twig water,
but differ greatly compared to the depleted reference water. Therefore,
under these conditions, the initial isotopic signature of the extracted
water determines the magnitude of the isotope signature of the extracted
water after the exchange with laboratory water vapour and therefore the
observed <inline-formula><mml:math id="M309" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values. This suggests that the observed isotopic
variations in our experiments with strongly isotopically depleted reference
water might have been less pronounced if water closer to natural isotope
abundance would have been used.</p>
      <p id="d1e4226">For the fresh <italic>L. decidua</italic> twigs water extraction, the AWA-dependent pattern was evident
for <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>, with average values decreasing from approximately
1 ‰ at the lowest water amount to approximately
<inline-formula><mml:math id="M311" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 ‰ at the highest water amount (Fig. 5c). In
contrast, <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> ranged between <inline-formula><mml:math id="M313" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.5 ‰ and
6.1 ‰ but without showing a clear inversely proportional
pattern (Fig. 5a). While we found no clear explanation for the absence of
the AWA dependency for <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> in this experiment, we can only
speculate that the expected pattern was hidden by processes shaping hydrogen
but not oxygen isotopic variations such as H-exchange effects between water
vapour and extracted water with similar isotopic compositions. Our results
also showed that the <inline-formula><mml:math id="M315" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula> values obtained from the extraction of water
at natural isotope abundance (Fig. 5a and c) are much smaller compared to
those obtained from the extractions of the strongly depleted reference water
(Figs. 2 and 3). In addition, we did not find a significant correlation
between RWC and <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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> for the <italic>L. decidua</italic> twigs at a
RWC range between 45 % and 57 % (Fig. 5b and d). These results suggest
again that the <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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 the CVD-extracted
water is dependent on AWA rather than on RWC.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e4358">In conclusion, we provide strong evidence that H exchange with organic H in
the sample, despite significantly influencing the <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> of water
during the sample rehydration process, is not the main driver of the broadly
observed negative <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> value during CVD extraction. Instead, we
identified a significant CVD artefact when water is present in small
amounts, particularly when <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M323" 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 the
water were below natural isotope abundance. This is linked to the increase
of sublimation and evaporation enrichments with the decrease of water
amount, as well as the mixing between the extracted water and laboratory
water vapour, rather than the effect of sample RWC on the H exchange during
extraction. From our results, both <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">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>
approached steady values and were close to zero when <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> of water was extracted. We therefore recommend extracting more than 600 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:math></inline-formula> of water, especially for studies using labelled water, to avoid
large enrichment biases. However, the minimum amount of extracted water that
is necessary to avoid isotopic biases might vary with the CVD setup and
therefore laboratory comparison should be conducted. Our results have
implications for studies using stable isotopes of water in plant tissue to
determine plant water sources (e.g. Evaristo and McDonnell, 2017),
trace water through soils with high organic material content (e.g. Koeniger
et al., 2016; Sprenger et al., 2016), and reconstruct
climate patterns using tree ring tissue (e.g. Loader et al., 2007;
Lehmann et al., 2021).</p>
</sec>

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

      <p id="d1e4475">The code used for all statistical analyses is available upon request.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e4481">Data are available from the corresponding author upon reasonable request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4484">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/hess-26-5835-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/hess-26-5835-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4493">HD, PS, GRG, and MML designed the experiments and HD carried them out. HD prepared the paper with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4499">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4505">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4511">We acknowledge the technical assistance by Manuela Oettli and Oliver Rehmann at WSL. Haoyu Diao acknowledges a scholarship from the Joint PhD Training Program, University of Chinese Academy of Sciences.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4516">This research has been supported by the SNSF Ambizione project “TreeCarbo” (grant no. 179978, granted to Marco M. Lehmann) and the USDA-NIFA (grant no. 2020-67014-30917, granted to Gregory R. Goldsmith).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4522">This paper was edited by Markus Weiler and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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