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  <front>
    <journal-meta><journal-id journal-id-type="publisher">SOIL</journal-id><journal-title-group>
    <journal-title>SOIL</journal-title>
    <abbrev-journal-title abbrev-type="publisher">SOIL</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">SOIL</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2199-398X</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/soil-5-383-2019</article-id><title-group><article-title>Identifying and quantifying geogenic organic carbon<?xmltex \hack{\break}?> in soils – the case of
graphite</article-title><alt-title>Identifying and quantifying geogenic organic carbon in soils</alt-title>
      </title-group><?xmltex \runningtitle{Identifying and quantifying geogenic organic carbon in soils}?><?xmltex \runningauthor{J.~H.~T.~Zethof et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zethof</surname><given-names>Jeroen H. T.</given-names></name>
          <email>jeroen.zethof@tu-dresden.de</email>
        <ext-link>https://orcid.org/0000-0001-8029-8617</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Leue</surname><given-names>Martin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vogel</surname><given-names>Cordula</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Stoner</surname><given-names>Shane W.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6977-4587</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kalbitz</surname><given-names>Karsten</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Soil Science and Site Ecology, Technische
Universität Dresden, 01737 Tharandt, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Leibniz-Centre for Agricultural Landscape Research (ZALF), Research
Area 1 Landscape Functioning, Working Group Hydropedology, Eberswalder Str.
84, 15374 Müncheberg, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Biogeochemical Processes Department, Max-Planck Institute for Biogeochemistry,<?xmltex \hack{\break}?> Hans-Knöll-Straße
10, 07745 Jena, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jeroen H. T. Zethof (jeroen.zethof@tu-dresden.de)</corresp></author-notes><pub-date><day>19</day><month>December</month><year>2019</year></pub-date>
      
      <volume>5</volume>
      <issue>2</issue>
      <fpage>383</fpage><lpage>398</lpage>
      <history>
        <date date-type="received"><day>22</day><month>May</month><year>2019</year></date>
           <date date-type="rev-request"><day>20</day><month>June</month><year>2019</year></date>
           <date date-type="rev-recd"><day>21</day><month>October</month><year>2019</year></date>
           <date date-type="accepted"><day>15</day><month>November</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Jeroen H. T. Zethof et al.</copyright-statement>
        <copyright-year>2019</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019.html">This article is available from https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019.html</self-uri><self-uri xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019.pdf">The full text article is available as a PDF file from https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e134">A widely overlooked source of carbon (C) in the soil environment is organic
carbon (OC) of geogenic origin, e.g. graphite, occurring mostly in
metamorphic rocks. Appropriate methods are not available to quantify
graphite and to differentiate it from other organic and inorganic C sources
in soils. This methodological shortcoming also complicates studies on OC in
soils formed on graphite-containing bedrock because of the unknown
contribution of a very different soil OC source.</p>
    <p id="d1e137">In this study, we examined Fourier-transform infrared (FTIR) spectroscopy,
thermogravimetric analysis (TGA) and the smart combustion method for their
ability to identify and quantify graphitic C in soils. For this
purpose, several artificial soil samples with graphite, <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and plant
litter as the usual C components were created. A graphitic standard was mixed
with pure quartz and a natural soil for calibration and validation of the
methods over a graphitic C range of 0.1 % to 4 %. Furthermore, rock and soil
material from a graphite-bearing schist and a schist without natural
graphite were used for method validation.</p>
    <p id="d1e151"><italic>FTIR</italic>. As specific signal intensities of distinct graphite absorption bands were
missing, calibration could only be performed on general effects of graphite
contents on the energy transmitted through the samples. The use of samples
from different mineral origins yielded significant matrix effects and
hampered the prediction of geogenic graphite contents in soils.</p>
    <p id="d1e156"><italic>TGA</italic>. Thermogravimetric analysis, based on changes in mass loss due to
differences in thermal stabilities, is suggested as a useful method for
graphite identification, although (calcium) carbonate and graphitic C have a
similar thermal stability. However, the quantitative estimation of the
graphite contents was challenging as dehydroxylation (mass loss) of a wide
range of soil minerals occurs in a similar temperature range.</p>
    <p id="d1e161"><italic>Smart combustion</italic>. The method is based on measuring the release of C during a combustion
program, quantified by a non-dispersive infrared detector (NDIR) as part
of a commercial elemental analyser, whereby carbonates and graphitic C could
be separated by switching between oxic and anoxic conditions during thermal
decomposition. Samples were heated to 400 <inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C under oxygen-rich
conditions, after which further heating was done under anoxic conditions
till 900 <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The residual oxidizable carbon (ROC), hypothesized to
be graphitic C, was measured by switching back to oxygenic conditions at
900 <inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Test samples showed promising results for quantifying
graphitic C in soils. For the purpose of quantifying graphitic C content in
soil samples, smart combustion was the most promising method of those which
have been examined in this study. However, caution should be taken with
carbonate-rich soils as increasing amounts of carbonate resulted in an
underestimation of graphitic C content.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<?pagebreak page384?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e202">In the past decades, global carbon (C) cycling has gained more and more
attention. As an important component in this cycle, the soil C reservoir
consists of many different forms and types of carbonaceous substances, each
with unique turnover times and functions. Probably the most widely studied
and dynamic soil C component is fresh organic matter (OM), derived from
litter input, decaying organisms and plant exudates (summarized in
Blankinship et al., 2018). Another well-studied soil C component is
inorganic C in the form of carbonates, which forms an important part of the
soil C pool, especially under arid climate conditions (Zamanian et al.,
2016; Apesteguia et al., 2018). Black C, defined as a broad set of highly
condensed carbonaceous by-products (e.g. soot) and residues (e.g. charcoal)
of incomplete fossil fuel and biomass combustion, has obtained increasing
interest during the past decades (Agarwal and Bucheli, 2011). Organic C (OC)
of geogenic origin, which has gained less attention until now, is formed
when organic compounds in sediments undergo coalification or kerogen
transformation during diagenesis. Under high pressure and appropriate
temperature conditions this process can continue into the formation of
graphitic C, although well-crystallized pure C is rarely produced (Oohashi
et al., 2012; Buseck and Beysacc, 2014). Redox transformations during
metamorphoses of carbonates leads also to the formation of highly
crystalline graphite (Galvez et al., 2013). Intruding hydrothermal fluids in
the earth's crust forms a second source of graphitic C during rock
formation, which produces the purest graphite crystals (Rumble, 2014). This
relatively pure and stable form of C is highly chemical inert, although
impurities from the parent material increase its chemical reactivity
(Beyssac and Rumble, 2014). Via tectonic processes graphite bearing rocks
can reach the earth's surface where they are subjected to physical and
chemical weathering. Therefore, graphitic C occurs mainly in rocks from
orogenic belts and in metasedimentary rocks in old cratons and might be a
quite common bedrock for soil development (Hartmann and Moosdorf, 2012;
Buseck and Beysacc, 2014).</p>
      <p id="d1e205">The fate of geogenic graphite under weathering and soil formation has rarely
been studied, possibly due to the lack of methods for determining and
quantifying geogenic graphite beyond the background of soil OC. There
are some indications that a substantial part of the geogenic graphitic C is
actually lost in the pathway from rock weathering to (marine) sedimentation
(Galy et al., 2008; Clark et al., 2017). Isolated naphthalene-degrading
bacteria from contaminated soil proved to oxidize and degrade graphitic
materials, questioning the assumed biological inactivity of graphite (Liu et
al., 2015). In a recent study, Hemmingway et al. (2018) estimated that <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>
of the graphitic C is oxidized during soil formation, strongly facilitated
by soil microbial activity.</p>
      <p id="d1e220">The necessity of identifying and quantifying geogenic C becomes obvious when
considering the widely used <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> dating method to measure the mean age
of substances and their turnover rates (Trumbore, 2000). As C is depleted in
<inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> over 50 000 years following burial, geogenic C will contain no
longer <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and might dilute the <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> content of younger C pools
(Rumpel and Kögler-Knabner, 2011). Although the dilution effect might be
of less importance for the C pool in topsoil, it can become more important
in subsoil as the C gets older and geogenic C might have a more dominant
share in the total C pool (Rumpel and Kögler-Knabner, 2011). If geogenic
C cannot be distinguished from the “normal” soil organic C derived from
fresh OM, age and turnover time of soil OC will be overestimated. For
instance, in the case of Hemmingway et al. (2018), the OM in the upper soil
layers should have aged for over 20 000 years to explain the derived
<inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> signal, which is unlikely under the local tropical conditions.
Although exact figures are unknown, more than one fifth of the global
lithology may potentially contain graphitic C (Hartmann and Moosdorf, 2012).
This illustrates the necessity to distinguish between the different C
sources in order to study their fate and residence time in soils.</p>
      <p id="d1e283">Several quantification methods, based on optical, thermal and chemical
properties, have been established for identification and quantification of
various C sources. Probably the most widely applied method is measuring C
released after dry combustion. However, dry combustion is not suitable for
differentiating between different (in)organic C components, which therefore
have to be corrected for or even removed. Several pre-treatments, like
thermal differentiation (e.g. Apesteguia et al., 2018) or removal by acid
fumigation (e.g. Harris et al., 2001) in the case of carbonates, have been
established.</p>
      <p id="d1e287">Spectroscopic techniques, such as Fourier-transform infrared (FTIR)
spectroscopy in the mid-infrared range (wavelengths 2.5–25 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m),
are widely used to qualify organic and mineral matter in soils in terms of
its functional groups (Smith, 1995; Parikh et al., 2014). Transmission FTIR
yields highly resolved spectra with clearly separated absorption peaks, but
requires sample dilution. In contrast, diffuse reflectance infrared Fourier
transform (DRIFT) can be applied to undiluted soil samples (Reeves, 2003),
in particular to determine OC contents of soils (e.g. Reeves et al., 2002;
McCarty et al., 2002) via partial least squares regression (PLSR) (e.g.
Janik et al., 1998). For employing PLSR, DRIFT spectra are calibrated by OC
contents obtained with standard techniques such as dry combustion (e.g.
Vohland et al., 2014).</p>
      <p id="d1e298">Mid-infrared spectra from graphite show few absorption bands. Among the
bands at wave numbers 2200, 1587, 1362, and 830 cm<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Friedel and
Carson, 1971), the bands at 1587 and 868 cm<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were attributed to
optical lattice vibrational modes of graphite (Chung, 2002), while the other
two bands cannot be assigned to specific functional groups. Tan et<?pagebreak page385?> al. (2013) reported no prominent peak in FTIR spectra from pure graphite powder.
However, in the case of oxidized or impure graphite, a number of infrared
absorption bands assigned to C–OH (3400 cm<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (1729 cm<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
phenolic C–OH (1220 cm<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), C–O (1052 cm<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and aromatic C–H
(870 cm<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) have been reported (Tan et al., 2013). Depending on the
graphite C amount and transformation stage, it has not been clear until now whether
they can be defined in soil samples.</p>
      <p id="d1e398">Thermal/thermogravimetric analyses (TGA) have been applied for a long time
to study the mineral components of soils and rocks. For instance, the
Rock-Eval method has been developed for oil and gas exploration, measuring
the hydrocarbon, CO and <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations by a consecutive pyrolysis
and oxidation program under constant heating (Behar et al., 2001). More
recent thermal analyses have been adopted to study the oxidative behaviour
of soil OC, which might serve as a proxy for biogeochemical stability of
these substances (Plante et al., 2009). The Rock-Eval method has been
successfully applied to characterize the more stable part of OM remaining in
the soil after long-term bare fallow (Barré et al., 2016). One of the
advantages of TGA is the relatively inexpensive approach with minimal sample
preparation needed to distinguish between different soil C components (Plant
et al., 2009; Fernández et al., 2012; Kučerík et al., 2018).
Additionally, it is a promising method to differentiate between the
thermally instable OM and highly stable geogenic C, like coal or graphite. A
precondition for quantifying substances with the TGA method is that the
thermal properties of the substance of interest are known, i.e. the
temperature limits at which the oxidation <inline-formula><mml:math id="M21" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> decomposition reactions take
place. As no universally accepted temperature limits currently exists, the
method still depends on empirically derived temperature boundaries to
differentiate and quantify substances (Pallasser et al., 2013; Ussiri et
al., 2014).</p>
      <p id="d1e419">Fernández et al. (2012) demonstrated that TGA coupled with differential
scanning calorimetry and evolved gas analysis (<inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) increases
the accuracy of quantifying organic substances during thermal analysis. In
particular, the detection limit of <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> could be decreased compared to
conventional TGA since the decomposition could be masked by the
dihydroxylation of (clay) minerals (Fernández et al., 2012). The same
principle can also be expected for oxidation of graphitic C, as it takes
place at roughly the same temperature ranges as the (clay) dihydroxylation
and <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decomposition (Hayhurst and Parmar, 1998; Bews et al., 2001).</p>
      <p id="d1e464">Recently, a new method has been developed based on experience with TGA
measurements, which is defined in the DIN19539 standard (DIN Standards
Committee Water Practice, 2016). In short, the DIN standard defines
biologically labile OM in solid samples, including soils, to be thermally
oxidized at temperatures below 400 <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (TOC<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">400</mml:mn></mml:msub></mml:math></inline-formula>), while
residual oxidizable C (ROC), like lignite or soot, and inorganic C
(TIC<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">900</mml:mn></mml:msub></mml:math></inline-formula>) are oxidized or decomposed between 400 and
900 <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Combustion elemental analysers, based on this
DIN standard, also offer the possibility of alternating between oxic and
anoxic conditions during a measurement. In this method, named “smart
combustion”, C components are consequently differentiated on both thermal
and oxidizable properties. In theory, graphite as a pure C will oxidize
poorly under anoxic conditions (Hayhurst and Parmar, 1998; Bews et al.,
2001), while carbonates do not require oxygen to decompose at these
temperatures. In contrast to the pyrolysing step of OM by the Rock-Eval
method (Behar et al., 2001), OM is immediately oxidized in the first heating
phase with the smart combustion method. Therefore, it is less likely that
by-products of OM pyrolysis will end up in the same fraction as graphitic C.</p>
      <p id="d1e503">In summary, graphitic C content in soils has received very little attention
as a quantification method is lacking. This study aims to test several
available methods for identifying and quantifying graphitic C content of
soils by examining Fourier Transform Infrared spectroscopy (FTIR),
thermogravimetric analysis (TGA) and the smart combustion methods. To test
the validity of the above methods for graphite identification and
quantification, we analysed natural and artificial soils that included
widely present soil C components, i.e. carbonates and OM.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Artificial mixtures and soil/rock samples</title>
      <p id="d1e521">Top soil and fresh rock samples from a nearby outcrop were taken from a
field site in Rambla Honda, Sierra de los Filabres (37<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>7<inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>43<inline-formula><mml:math id="M31" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N,
2<inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>22<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>30<inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W/Southern Spain). The area is located in the
Nevado-Filabride complex and contains Devonian-Carboniferous slaty mica
schist with graphite and garnets crossed by abundant quartz veins
(Puigdefábregas et al., 1996). Carbonates found in the soil sample (0.18 % C) originated from pedogenesis and dust deposition, as the parent rock
does not contain carbonates. Soil material was taken from the topsoil (0–5 cm, without sieving crust) under the grass tussock <italic>Macrochloa tenacissima</italic> to ensure a substantial
amount of OC was present. The soil itself was classified as Skeletic
Leptosol (colluvic) according to the World Reference Base for Soil Resources
(WRB, 2014). Additional soil material was collected from a field near the
town of Alboloduy (37<inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>4<inline-formula><mml:math id="M36" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>9<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 2<inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>36<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>43<inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W), hereafter
referred to as AB soil, with similar vegetation and (climatic) conditions.
The lithology consists of feldspathic mica schist (IGME, 1979), but without
natural graphite and with a much higher <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content (1.87 % C).
The AB soil, classified as Skeletic Leptosol (WRB, 2014), was also sampled
from the topsoil, without sieving crust, under the grass tussock <italic>Macrochloa tenacissima</italic>. The soil
samples were dried at 40 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and sieved to <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> mm.</p>
      <p id="d1e682">Furthermore, three artificial soils were created, resembling a simplified
version of a natural soil sample. For artificial soil 1 the organic horizon
under deciduous tree<?pagebreak page386?> species in Tharandter Wald (Saxony, Germany) was
collected as OM substitute. Muscovite (American Educational, PN B00657LD62),
a primary mineral present in the collected rock and soil samples (IGME,
1975), was taken as mineral component and ground in an agate disc mill.
Together with <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Merck, Darmstadt, PN 1.02066) and graphite
standard material (Merck, Darmstadt PN 1.04206), the components were mixed
in a pure quartz matrix (Merck, Darmstadt, PN 1.07536) in the ratio of 10 % Muscovite, 2.4 % OM (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula> % C), 2.1 % <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M47" display="inline"><mml:mo lspace="0mm">=</mml:mo></mml:math></inline-formula> 0.25 % C) and 0.5 % graphite (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> % C). Additionally, the individual
components were mixed in quartz in the same concentration. Artificial soil 2
was made without carbonate and Artificial soil 3 without graphite, whereby
concentrations of the other components were kept constant (Table 1).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e737">Overview of the used samples. Total carbon (TC) and total inorganic
carbon (TIC) data are derived by the elemental analyser, as described in
Sect. 2.1. Crosses note for which method testing the sample has been used.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry colname="col2">TC</oasis:entry>
         <oasis:entry colname="col3">TIC</oasis:entry>
         <oasis:entry colname="col4">Added graphite</oasis:entry>
         <oasis:entry colname="col5">FTIR</oasis:entry>
         <oasis:entry colname="col6">TGA</oasis:entry>
         <oasis:entry colname="col7">Smart</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(% C)</oasis:entry>
         <oasis:entry colname="col3">(% C)</oasis:entry>
         <oasis:entry colname="col4">(% C)</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">combustion</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(1)<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.36</oasis:entry>
         <oasis:entry colname="col3">0.18</oasis:entry>
         <oasis:entry colname="col4">0.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(2)<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.47</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.1</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(3)<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.64</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.25</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(4)<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.90</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(5)<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.13</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.75</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(6)<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.36</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(7)<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.84</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(8)<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.32</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(9)<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.30</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">3.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(10)<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">5.30</oasis:entry>
         <oasis:entry colname="col3">0.18<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">4.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(1)</oasis:entry>
         <oasis:entry colname="col2">0.01</oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">0.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(2)</oasis:entry>
         <oasis:entry colname="col2">0.10</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.1</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(3)</oasis:entry>
         <oasis:entry colname="col2">0.25</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.25</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(4)</oasis:entry>
         <oasis:entry colname="col2">0.50</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(5)</oasis:entry>
         <oasis:entry colname="col2">0.74</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.75</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(6)</oasis:entry>
         <oasis:entry colname="col2">0.99</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(7)</oasis:entry>
         <oasis:entry colname="col2">1.49</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(8)</oasis:entry>
         <oasis:entry colname="col2">1.99</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(9)</oasis:entry>
         <oasis:entry colname="col2">2.94</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">3.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(10)</oasis:entry>
         <oasis:entry colname="col2">3.97</oasis:entry>
         <oasis:entry colname="col3">0.00<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">4.0</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 1</oasis:entry>
         <oasis:entry colname="col2">1.74</oasis:entry>
         <oasis:entry colname="col3">0.30</oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 2</oasis:entry>
         <oasis:entry colname="col2">1.46</oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 3</oasis:entry>
         <oasis:entry colname="col2">1.21</oasis:entry>
         <oasis:entry colname="col3">0.29</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Graphitic schist<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.84</oasis:entry>
         <oasis:entry colname="col3">0.00</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">X</oasis:entry>
         <oasis:entry colname="col6">X</oasis:entry>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 1</oasis:entry>
         <oasis:entry colname="col2">2.97</oasis:entry>
         <oasis:entry colname="col3">1.87</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 2</oasis:entry>
         <oasis:entry colname="col2">3.62</oasis:entry>
         <oasis:entry colname="col3">1.87<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 3</oasis:entry>
         <oasis:entry colname="col2">4.05</oasis:entry>
         <oasis:entry colname="col3">1.87<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.0</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 4</oasis:entry>
         <oasis:entry colname="col2">4.51</oasis:entry>
         <oasis:entry colname="col3">1.87<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">1.5</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 5</oasis:entry>
         <oasis:entry colname="col2">4.97</oasis:entry>
         <oasis:entry colname="col3">1.87<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">2.0</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">X</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e740"><inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> Contain unknown amount of natural graphite. <inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> As measured in the sample with 0.0 added graphite.</p></table-wrap-foot></table-wrap>

      <p id="d1e1815">For testing and developing potential quantitative methods, the graphite
standard was used as the reference material and added to soil from Rambla Honda
(denoted calibration set 1) or with pure quartz (denoted calibration set 2) as a matrix in different quantities from 0.1 % to 4 % (Table 1). All
samples were ground in an agate disc mill (Retsch GmbH, Haan, Germany) in
order to achieve homogenization.</p>
      <p id="d1e1818">Total C content of the different mixtures and samples were measured and
checked using an elemental CN analyser (Vario EL Cube, Elementar,
Langenselbold, Germany). By acidifying samples, using an excess of HCl, the
carbonates were removed. After drying at 60 <inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the difference
between acid and non-acid treatment was measured and denoted as total
inorganic C (TIC). TC and TIC values of the used samples are summarized in
Table 1. We assumed that with dry combustion at 950 <inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C under pure
oxygen atmosphere, all C holding components were decomposed or oxidized and
therefore the total C content could be measured. This assumption was later
validated by performing TGA temperatures up to 1100 <inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>
      <p id="d1e1848">Raman spectra of the soil of calibration set 1, standard (Merck) and
graphitic schist were recorded, using a
Thermo Scientific DXR Smart Raman Spectrometer, with a 532 nm laser and a
power output of 9 mW. Before the measurement, samples were pressed in
aluminium cups. The obtained peaks were integrated using Lorentzian profiles
fitting in Origin 2019.</p>
      <p id="d1e1851">The spectra of the graphite standard were highly similar to the graphitic
schist (Fig. S1 in the Supplement). The <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi>D</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1350</mml:mn></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M90" display="inline"><mml:mi>G</mml:mi></mml:math></inline-formula>
(<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1580</mml:mn></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi>D</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1620</mml:mn></mml:mrow></mml:math></inline-formula> cm<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
peaks could be attributed to graphitic C. The ratio between the D1 and the
sum of all three peaks are clear indicators for the degree of graphitization
(Beysacc et al., 2003; Ferrari, 2007). Ratios of 0.20 for the graphite
standard (Merck) and 0.34 for the graphitic schist indicated well-organized
carbon (&lt; 0.5, Beysacc et al., 2003) for both samples. Peaks around
the 1200 and 1500 cm<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> bands, which would have indicated the presence
of pyrogenic <inline-formula><mml:math id="M97" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> black carbon components (Sadezky et al., 2005; Schmidt et
al., 2002), could not be observed in all samples, including the soil sample
(blue, Fig. S1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1970">Prediction plots with 95 % prediction bands <bold>(a, b)</bold> and loading
plots <bold>(c, d)</bold> after FTIR analyses of the PLSR calibration sets using soil
(calibration set 1) and pure quartz (calibration set 2) with graphite
concentrations of 0.1 %–4 % added as indicated in Table 1.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Fourier transform infrared (FTIR) spectroscopy</title>
      <p id="d1e1993">For transmission-FTIR analyses, 1 mg sample was mixed with 99 mg potassium
bromide (KBr; Merck, Darmstadt; 3 sample replicates), finely ground in an
agate mortar, and pressed to pellets. The transmission spectra were recorded
in a Biorad FTS 135 spectrometer (BIO-RAD company, Cambridge, USA) as 16
co-added scans between wave number (WN) 4000 and 400 cm<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at a spectral
resolution of 1 cm<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The spectra were corrected against ambient air as
background and were converted to absorption units. For DRIFT analyses,
ground mixtures of calibration set 1 and 2 were poured into standard cups
(three replicates) without any dilution. The DRIFT spectra (16 co-added
scans, WN 4000 and 400 cm<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, resolution 4 cm<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) were corrected for
ambient air using a background spectrum of a gold target (99 %; Infragold)
and were converted to Kubelka–Munk units. All spectra were corrected for
<inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption of the ambient air between WN 2400 and 2280 cm<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
and smoothed (boxcar moving average algorithm, factor for transmission
spectra: 25, factor for DRIFT spectra: 15) using the software WIN-IR Pro 3.4
(Digilab, MA, USA). For each sample one mean spectrum was calculated from
the spectra of three replicate spectra.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Statistical analysis of the FTIR spectroscopic data</title>
      <p id="d1e2075">The partial least squares regression (PLSR) analyses of correlations between
the transmission or DRIFT spectra and the graphite contents (0.1 %–4 %)
of the samples were performed using R, Version 3.1.1 (R Core Team, 2014)
with module PLS (SIMPLS, cross-validation: leave-one-out) of Mevik et al. (2018). The signal intensities were used as independent variables, the
graphite content as dependent. The number of components used in the
calibration models followed the lowest predicted root-mean-square error
(RMSEP) of the specific data sets. The scores and loadings were plotted for
the two main components determining most of the variances of the DRIFT
spectra. Larger absolute loading values of signal intensities in certain WN
regions imply a greater importance of these WN for the cumulated values of
the principal components 1 or 2 displayed in the score plot.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Thermogravimetric analysis (TGA)</title>
      <?pagebreak page387?><p id="d1e2087">The TGAs were conducted on a STA 449 F5 Jupiter analyser (NETZSCH, Hanau,
Germany). Therefore, 20–40 mg of sample material was placed in an
<inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> crucible and heated under a constant heating program from
ambient to 1100 <inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with a ramp of 20 <inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C min<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
First analyses were conducted under an oxygen-rich atmosphere, with an
inflow of 250 mL <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> min<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and 250 mL <inline-formula><mml:math id="M110" 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> min<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.
Additional tests were done under anoxic conditions whereby the oxygen inflow
was cut off between 500 and 850 <inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The oxygen inflow was restored
and the heating program continued until 1100 <inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>
      <p id="d1e2201">As carbonates might interfere in the TGA measurement of graphite and high
chloride concentrations damages the equipment, they were removed from the
sample using the acid fumigation method of Harris et al. (2001). Briefly,
about 40 mg of sample was weighed in a silver foil capsules, moistened to
approximately field capacity and put in a desiccator under vacuum conditions
with a beaker of 31 % HCl and fumigated for 24 h. Afterwards the
sample was dried at 60 <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C overnight before it was transferred to
an <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">Al</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> crucible for analysis.</p>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Statistical analysis of the TGA method</title>
      <p id="d1e2236">TGA measurements were processed and thermal mass loss data obtained via the
Proteus Thermal Analysis software (NETZSCH, Hanau, Germany). Initial testing
with triplicates revealed that the repeatability error, expressed as
coefficient of variation of the mass loss in areas of interest, was below
2 %. Measured sample mass data are fitted with the spline function over
the temperature, with steps of 1 <inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Further analyses of the
obtained data were conducted using R, Version 3.5.1 (R Core Team, 2018).
Using the Fitting Linear Models function, models were created from the
calibrations sets. With the module PLS (Mevik et al., 2018), a model was
created for each calibration set to determine the graphite content based on
the measured mass change in a certain temperature range and the known
graphite addition, using the mass change as independent variable. By
iterating the model creation over the temperature range from 400 to
1075 <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C with minimum step of 5 <inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C difference and
recording the slope, intercept and RMSEP of each created model, we evaluated
the temperature range describing the graphite content of both the
calibration sets most precisely. For this purpose, the RMSEP<?pagebreak page388?> of these models
were used (Fig. S4), and a single temperature range that fit
both calibration sets was determined.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Smart combustion</title>
      <p id="d1e2275">Smart combustion denotes the method based on the DIN19539 (GS) standard (DIN
Standards Committee Water Practice, 2016), whereby solid C components are
separated based on their thermal and oxidizable properties. Smart combustion
was conducted with the Soli-TOC cube analyser (Elementar, Langenselbold,
Germany). The device is equipped with a non-dispersive infrared detector
(NDIR), which measures the degree of infrared light absorbance caused by
<inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration in the measuring gas (<inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The NDIR was
calibrated with <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and additionally <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was used to control
and calculate a daily standard for the measured total C content. Depending
on the expected carbonate and graphite concentration, 40–90 mg of
homogenized sample was placed in the crucible. This was done to make sure
that the peak surface fits well to the calibration range without causing
unnecessarily large peak areas, which might influence the separation of the
peaks/substances during analysis. Following the DIN19539 GS standard/standard gas switching program of the Soli-TOC cube analyser, the sample was
first heated to and held at 400 <inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for 240 s, whereby the
“total organic carbon 400 <inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C” (TOC<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">400</mml:mn></mml:msub></mml:math></inline-formula>) was obtained.
Subsequently the atmosphere was switched to inert gas (<inline-formula><mml:math id="M126" 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>) and after an
equilibration time of 100 s the sample was heated to 900 <inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and
held for 150 s. C released during this pyrolysing phase is denoted as TIC,
mainly consisting of carbonates which do not need oxygen to decompose. After
150 s, the oxygen gas flow was reintroduced, and a third C component, the
residual oxidizable C (ROC), was measured. It was hypothesized that this ROC
fraction represents graphite.</p>
<?pagebreak page389?><sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Statistical analysis of the smart combustion data</title>
      <p id="d1e2384">The Soli-TOC device directly converts the NDIR signal to C content of the
different components, as calibrated with <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Creating an additional
model to correct the C output introduces an additional error in the
measurements. Therefore, we analysed the direct C output, as measured in the
ROC fraction. Triplicate measurements were averaged, whereby the average
coefficient of variation between replicates was 2.7 %. A Pearson
correlation test was performed between the obtained ROC data and calibration
sets to evaluate the graphite content measurements.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Result</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Overestimation of graphite contents by FTIR spectroscopy </title>
      <p id="d1e2415">The PLSR of the calibration set showed strong relations between the
transmission-FTIR spectra from both calibration sets and the graphite
concentrations when considering samples with 0.1 %–4 % graphite (Fig. 1a and b). For DRIFT spectra, the quality of these calibrations was at the
same level (cal. Set 1: <inline-formula><mml:math id="M129" 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">0.97</mml:mn></mml:mrow></mml:math></inline-formula>, RMSEP <inline-formula><mml:math id="M130" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.16; cal. Set 2: <inline-formula><mml:math id="M131" 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">0.98</mml:mn></mml:mrow></mml:math></inline-formula>, RMSEP <inline-formula><mml:math id="M132" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.12). For calibration set 1 (based
on natural soil) as well as for calibration set 2 (based on quartz), one
main component of the PLSR presented most differences in the graphite
concentration (Fig. 1c and d). This component showed the highest loading
values across the entire range of wave numbers with some exceptions. For
calibration set 1, wave numbers with decreased loading values were found at
spectral regions 1077, 1031, 1013, 934, 913, 778, 536, 471, and 411 cm<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which all corresponded to the prominent absorption bands of the
original soil used as matrix, comprising functional groups from organic and
mineral matter (Hesse et al., 1984; Senesi et al., 2003; Van der Marel and
Beutelspacher, 1976). For calibration set 2, the wave numbers with the
smallest loadings at 1171, 1084, 796, 778, 694, 506, and 457 cm<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> were
specific for quartz (Van der Marel and Beutelspacher, 1976).</p>
      <p id="d1e2487">The cross-validation of PLSR calibrations 1 and 2 using spectra from the
other calibration set yielded a linear relation but overestimated the
graphite contents by ca. 2.59 % C for set 1 % and 1.87 % C for set 2
(Fig. 5). The graphite content of 0.50 % for the artificial soil was
3.5 times overestimated by the PLSR calibration using set 1 (predicted: 1.75 % C) and 3 times underestimated by calibration set 2 (predicted: 0.17 % C). The graphite contents in the graphitic schist were estimated to be
1.91 % C by calibration set 1 % C and 3.71 % C by calibration set 2, which
was 2 times and 4.5 times higher than the total C content of the graphitic
schist (Table 1).</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Strong matrix dependency of TGA predictability</title>
      <p id="d1e2499">First qualitative TGA results revealed overlapping mass loss peaks of
graphite and <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 2). Between 750 and 850 <inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, the sum
of the mass losses of the individual components was smaller than the mass
loss of the mixture of these components.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2524">Thermogravimetric analysis of artificial soil 1 and its components
measured individually. The summation (dash-dotted, grey) is the combined
mass loss of the individual components.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f02.png"/>

        </fig>

      <p id="d1e2533">Using the RMSEP values of the two calibration sets of soil and quartz with
graphite, the most useful temperature range for modelling graphite content
was identified between 680  and 840 <inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. S4). According to PLSR, for both models, created with calibration
set 1 (<inline-formula><mml:math id="M138" 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">1.00</mml:mn></mml:mrow></mml:math></inline-formula>, RMSEP <inline-formula><mml:math id="M139" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.05) and calibration set 2
(<inline-formula><mml:math id="M140" 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">1.00</mml:mn></mml:mrow></mml:math></inline-formula>, RMSEP <inline-formula><mml:math id="M141" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.04), predicted graphite content in
their respective matrix quite well (Fig. 3). Only cross-validation by
predicting graphite content in the other matrix revealed a short coming of
the TGA method (Fig. 5). The slope between predicted and actual graphite
content is still parallel to the <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, but applying the model derived
from calibration set 1 on set 2 underestimated the graphite content by 1.81 % C (Fig. 5). In contrast, the graphite content in calibration set 1 was
underestimated by 1.81 % C using the model calibrated with set 2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2605">Prediction plots after thermogravimetric analysis (TGA) of
calibration set 1 (squares) and 2 (diamonds). 95 % predictions band
(dotted grey) are displayed besides the linear regression line (black).
Graphite was added in the concentrations between 0 % and 4.0 % graphite
as indicated in Table 1.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f03.png"/>

        </fig>

      <p id="d1e2614">The graphite contents of the artificial soil (0.5 %) and graphitic schist
were estimated using the two calibrated models (Fig. 5, inserted detail, and
Table 2). The content of artificial soil 1 was overestimated 3.5 times
(predicted: 1.70 % C) using the model derived from calibration set 2.
Using the model based on calibration set 1, the prediction of graphite
content yielded negative values (predicted: <inline-formula><mml:math id="M143" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.19 % C). In the
additionally used artificial soils 2 and 3, which did not contain
<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or graphite, the graphite contents were
underestimated with the model based on calibration set 1 (based on soil) and
overestimated with the model based on calibration set 2 (based on quartz).
Independent of the two models, the<?pagebreak page390?> relative difference between them is in
both cases 0.44, which resembles the actual graphite content. The graphite
content of the graphitic schist was estimated to be 2.44 % C according to
calibration set 2, but the model calibrated with set 1 showed better
predictions. Where the total C content of the graphitic rock was 0.84 % C, the model of calibration set 1 estimated a graphite content of 0.64 % C (Table 2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2638">Overview of the predicted graphitic carbon by the different
examined methods.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample</oasis:entry>
         <oasis:entry colname="col2">Added graphite</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col4" align="center" colsep="1">FTIR </oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">TGA </oasis:entry>
         <oasis:entry colname="col7">Smart combustion</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Calibrated</oasis:entry>
         <oasis:entry colname="col4">Calibrated</oasis:entry>
         <oasis:entry colname="col5">Calibrated</oasis:entry>
         <oasis:entry colname="col6">Calibrated</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">with cal.</oasis:entry>
         <oasis:entry colname="col4">with cl.</oasis:entry>
         <oasis:entry colname="col5">with cal.</oasis:entry>
         <oasis:entry colname="col6">with cal.</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">set 1</oasis:entry>
         <oasis:entry colname="col4">set 2</oasis:entry>
         <oasis:entry colname="col5">set 1</oasis:entry>
         <oasis:entry colname="col6">set 2</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(% C)</oasis:entry>
         <oasis:entry colname="col3">(% C)</oasis:entry>
         <oasis:entry colname="col4">(% C)</oasis:entry>
         <oasis:entry colname="col5">(% C)</oasis:entry>
         <oasis:entry colname="col6">(% C)</oasis:entry>
         <oasis:entry colname="col7">(% C)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(1)<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">2.04</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>
         <oasis:entry colname="col6">1.54</oasis:entry>
         <oasis:entry colname="col7">0.35</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(2)<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.1</oasis:entry>
         <oasis:entry colname="col3">0.29</oasis:entry>
         <oasis:entry colname="col4">2.19</oasis:entry>
         <oasis:entry colname="col5">0.16</oasis:entry>
         <oasis:entry colname="col6">1.76</oasis:entry>
         <oasis:entry colname="col7">0.34</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(3)<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.25</oasis:entry>
         <oasis:entry colname="col3">0.20</oasis:entry>
         <oasis:entry colname="col4">1.94</oasis:entry>
         <oasis:entry colname="col5">0.27</oasis:entry>
         <oasis:entry colname="col6">1.87</oasis:entry>
         <oasis:entry colname="col7">0.49</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(4)<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">0.84</oasis:entry>
         <oasis:entry colname="col4">2.22</oasis:entry>
         <oasis:entry colname="col5">0.56</oasis:entry>
         <oasis:entry colname="col6">2.17</oasis:entry>
         <oasis:entry colname="col7">0.74</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(5)<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.75</oasis:entry>
         <oasis:entry colname="col3">0.53</oasis:entry>
         <oasis:entry colname="col4">2.23</oasis:entry>
         <oasis:entry colname="col5">0.76</oasis:entry>
         <oasis:entry colname="col6">2.37</oasis:entry>
         <oasis:entry colname="col7">0.99</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(6)<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">0.79</oasis:entry>
         <oasis:entry colname="col4">2.62</oasis:entry>
         <oasis:entry colname="col5">1.03</oasis:entry>
         <oasis:entry colname="col6">2.65</oasis:entry>
         <oasis:entry colname="col7">1.25</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(7)<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.5</oasis:entry>
         <oasis:entry colname="col3">1.39</oasis:entry>
         <oasis:entry colname="col4">3.21</oasis:entry>
         <oasis:entry colname="col5">1.44</oasis:entry>
         <oasis:entry colname="col6">3.06</oasis:entry>
         <oasis:entry colname="col7">1.74</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(8)<inline-formula><mml:math id="M154" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.0</oasis:entry>
         <oasis:entry colname="col3">2.15</oasis:entry>
         <oasis:entry colname="col4">3.66</oasis:entry>
         <oasis:entry colname="col5">1.99</oasis:entry>
         <oasis:entry colname="col6">3.61</oasis:entry>
         <oasis:entry colname="col7">2.20</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(9)<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.0</oasis:entry>
         <oasis:entry colname="col3">3.30</oasis:entry>
         <oasis:entry colname="col4">4.70</oasis:entry>
         <oasis:entry colname="col5">2.98</oasis:entry>
         <oasis:entry colname="col6">4.62</oasis:entry>
         <oasis:entry colname="col7">3.08</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 1(10)<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.0</oasis:entry>
         <oasis:entry colname="col3">3.61</oasis:entry>
         <oasis:entry colname="col4">5.04</oasis:entry>
         <oasis:entry colname="col5">3.90</oasis:entry>
         <oasis:entry colname="col6">5.55</oasis:entry>
         <oasis:entry colname="col7">4.09</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(1)</oasis:entry>
         <oasis:entry colname="col2">0.0</oasis:entry>
         <oasis:entry colname="col3">2.68</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.59</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(2)</oasis:entry>
         <oasis:entry colname="col2">0.1</oasis:entry>
         <oasis:entry colname="col3">2.66</oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.46</oasis:entry>
         <oasis:entry colname="col6">0.13</oasis:entry>
         <oasis:entry colname="col7">0.06</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(3)</oasis:entry>
         <oasis:entry colname="col2">0.25</oasis:entry>
         <oasis:entry colname="col3">2.72</oasis:entry>
         <oasis:entry colname="col4">0.25</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M160" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.38</oasis:entry>
         <oasis:entry colname="col6">0.20</oasis:entry>
         <oasis:entry colname="col7">0.17</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(4)</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">3.67</oasis:entry>
         <oasis:entry colname="col4">0.58</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M161" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.08</oasis:entry>
         <oasis:entry colname="col6">0.51</oasis:entry>
         <oasis:entry colname="col7">0.39</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(5)</oasis:entry>
         <oasis:entry colname="col2">0.75</oasis:entry>
         <oasis:entry colname="col3">2.99</oasis:entry>
         <oasis:entry colname="col4">0.67</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M162" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.87</oasis:entry>
         <oasis:entry colname="col6">0.72</oasis:entry>
         <oasis:entry colname="col7">0.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(6)</oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">3.66</oasis:entry>
         <oasis:entry colname="col4">0.85</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M163" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.63</oasis:entry>
         <oasis:entry colname="col6">0.96</oasis:entry>
         <oasis:entry colname="col7">0.85</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(7)</oasis:entry>
         <oasis:entry colname="col2">1.5</oasis:entry>
         <oasis:entry colname="col3">4.52</oasis:entry>
         <oasis:entry colname="col4">1.54</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15</oasis:entry>
         <oasis:entry colname="col6">1.45</oasis:entry>
         <oasis:entry colname="col7">1.33</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(8)</oasis:entry>
         <oasis:entry colname="col2">2.0</oasis:entry>
         <oasis:entry colname="col3">5.03</oasis:entry>
         <oasis:entry colname="col4">2.06</oasis:entry>
         <oasis:entry colname="col5">0.45</oasis:entry>
         <oasis:entry colname="col6">2.05</oasis:entry>
         <oasis:entry colname="col7">1.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(9)</oasis:entry>
         <oasis:entry colname="col2">3.0</oasis:entry>
         <oasis:entry colname="col3">6.01</oasis:entry>
         <oasis:entry colname="col4">2.89</oasis:entry>
         <oasis:entry colname="col5">1.31</oasis:entry>
         <oasis:entry colname="col6">2.93</oasis:entry>
         <oasis:entry colname="col7">2.68</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calibration 2(10)</oasis:entry>
         <oasis:entry colname="col2">4.0</oasis:entry>
         <oasis:entry colname="col3">7.36</oasis:entry>
         <oasis:entry colname="col4">4.14</oasis:entry>
         <oasis:entry colname="col5">2.31</oasis:entry>
         <oasis:entry colname="col6">3.94</oasis:entry>
         <oasis:entry colname="col7">3.70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 1</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">1.75</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">0.09</oasis:entry>
         <oasis:entry colname="col6">1.70</oasis:entry>
         <oasis:entry colname="col7">0.40</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 2</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.92</oasis:entry>
         <oasis:entry colname="col6">0.67</oasis:entry>
         <oasis:entry colname="col7">0.46</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Artificial soil 3</oasis:entry>
         <oasis:entry colname="col2">0.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M166" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48</oasis:entry>
         <oasis:entry colname="col6">1.11</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Graphitic schist<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">1.91</oasis:entry>
         <oasis:entry colname="col4">3.71</oasis:entry>
         <oasis:entry colname="col5">0.62</oasis:entry>
         <oasis:entry colname="col6">2.23</oasis:entry>
         <oasis:entry colname="col7">0.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 1</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">0.00</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 2</oasis:entry>
         <oasis:entry colname="col2">0.5</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">0.46</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 3</oasis:entry>
         <oasis:entry colname="col2">1.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">0.91</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 4</oasis:entry>
         <oasis:entry colname="col2">1.5</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">1.42</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AB soil 5</oasis:entry>
         <oasis:entry colname="col2">2.0</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">1.83</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2641"><inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Contain unknown amount of natural graphite.</p></table-wrap-foot></table-wrap>

      <p id="d1e3669">Furthermore, the artificial soils were used to explore whether changing
between oxic and anoxic conditions during thermal analysis could separate
between the mass loss peak of <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and graphite – most important for
potential application in soils containing both components. Changing the
atmospheric composition resulted in an artificial mass gain when
<inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas was switched to <inline-formula><mml:math id="M170" 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> and an artificial mass loss when
oxygen was reintroduced (Fig. 4), probably due to changes in pressure, and
thereby affecting the mass readings. It should be noted that a constant
heating program was used and therefore the measurement time spans 4–5 min for both peaks. Nonetheless using artificial soil 2 (without
<inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and artificial soil 3 (without graphite) revealed that
qualitative separation between the two mass loss peaks was feasible using
changes in oxic conditions. Based on TGA observations on some individual
components and simplified artificial soil (Fig. 2), it seemed best to use
anoxic conditions from 500 till 850 <inline-formula><mml:math id="M172" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C as all OM will be oxidized
at 500 <inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and carbonates should be fully decomposed at
850 <inline-formula><mml:math id="M174" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 2). Furthermore, the mass loss peak had already
returned to the baseline after reaching 850 <inline-formula><mml:math id="M175" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, indicating that
the decomposition of the carbonates was complete (Fig. 4).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e3762">Thermogravimetric analysis of the artificial soils, with one
lacking either carbonate (artificial soil 2, green) or graphite (artificial
soil 3, orange), whereby the oxygen gas supply was cut off during part of
the standard heating program (GC – gas change). For comparison the
artificial soil 1 under the normal program (without gas change) is also
displayed in grey.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3774">Overview of the predicted amount of graphite in the calibration
sets (squares/diamonds), artificial soil (inset, circles/triangle),
graphitic schist (inset, stars) and AB soil (right-pointing triangle) as
measured with the different methods. Black symbols: graphite prediction by
FTIR, model from calibration set 1; white: graphite prediction with FTIR,
calibration set 2; orange: graphite prediction by TGA, model from
calibration set 1; green: graphite prediction by TGA, model from calibration
set 2; grey: graphite prediction by smart combustion. Exact data are given in
Table 2.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Direct graphite content quantified by smart combustion</title>
      <p id="d1e3791">First total carbon (TC) measured by the smart combustion method was compared
with the TC obtained by dry combustion using the elemental analyser, but
hardly any differences were found (Fig. S5). Residual
oxidizable C (ROC) values obtained by the smart combustion method were
plotted against the added amount of graphite in calibration sets (Fig. 5).
The graphite content in calibration set 1 seems to be overestimated by 0.26 % C. This observation can be explained by the fact that the used sample
soil for calibration set 1 contains an unknown amount of natural graphite,
which explains a constant overestimation. The content of graphitic C of the
soils in calibration set 2 is slightly underestimated, especially with
higher graphite concentrations (Fig. 5 and Table 2).</p>
      <?pagebreak page391?><p id="d1e3794">The graphite content of the artificial soil 1 was slightly underestimated
(Table 2): 0.40 % ROC for the artificial soil 1 % and 0.46 % ROC for the
artificial soil 2, compared to the real contents of 0.50 %. Artificial
soil 3 revealed 0.00 % ROC as there was also no graphite in this sample.
The graphitic schist had 0.79 % ROC, which was very similar to the total
C of the rock (Tables 1 and 2). Furthermore, the AB soil spiked with
graphite, as an additional sample without natural graphite but with a high
<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content (1.87 % C), showed a similar underestimation as
observed with the calibration samples (Fig. 5).</p>
      <p id="d1e3808">The ROC results for the natural graphitic soil, also used for calibration
set 1 and spiked with <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, revealed a downward trend of measured ROC
content with increasing amounts of added <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (from 0.0 % to 2.5 %
added C) down to 0.01 % ROC absolute (Fig. 6). This observation was also
evident when taking into account the dilution of the sample by the addition
of <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and explained at least parts of the underestimation of
graphite in this sample (Fig. 5).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Matrix effects and the lack in specific absorption bands hamper graphite
quantification via FTIR spectroscopy </title>
      <p id="d1e3860">The calibration between infrared spectra and graphite contents of the
calibration sets yielded promising results (Fig. 1a and b) and could also
be used for a cross-validation (Fig. 5). Although the same substrate
materials and similar contents of graphitic C were used in the validation,
the graphite contents were systematically over-predicted. Despite the
apparent quality of the calibration, this failure could have been caused by
the relatively low number of calibration samples. Note that the use of the
two calibration data sets, soil and quartz, in a joint PLSR model (<inline-formula><mml:math id="M180" 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">0.96</mml:mn></mml:mrow></mml:math></inline-formula> and RMSEP <inline-formula><mml:math id="M181" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.24; three components) did not improve<?pagebreak page392?> the
calibration nor the prediction accuracy. It cannot be excluded that a higher
number of samples for the calibration could improve the PLSR model and the
prediction results. Further, Raman spectroscopy might be an alternative
approach for quantifying graphite in soil samples (e.g. Sparkes et al.,
2013; Jorio and Filho, 2016).</p>
      <p id="d1e3885">The loading values revealed that the relationships used for the PLSR
calibration (Fig. 1c and d) could not be attributed to absorption bands of
graphite reported in the literature such as wave numbers 2200, 1587, 1362, and
830 cm<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Friedel and Carson, 1971) or 3400, 1729, 1220, 1052 and 870 cm<inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Tan et al., 2013). These wave-number positions did not match with
the absorption bands of the spectra obtained from calibration sets 1 and 2,
the graphitic schist and the artificial soil 1 (Fig. 7). The only exception
is WN 3400 cm<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which is mainly caused by O–H of free or adsorbed
water and is thus not specific for graphite.</p>
      <p id="d1e3924">The height of the loading values across broad spectral regions, i.e. across
the entire wave-number range in the case of the soil samples, hints at effects
of the general optical conditions within the samples. The transmission, i.e.
the energy throughput in the sample pellet (transmission FTIR) or the
reflectance of the sample surface (DRIFT), seems to be a measure for the
amount of graphite added rather than specific graphite signal intensities in
the calibration sets. In addition, transmission/reflection characteristics
are highly influenced by the mineral composition of a sample. Generally,
increasing graphite concentrations caused decreasing transmission over the
entire spectral range, which is a characteristic of the mineral composition
due to increasing proportions of primary absorption (Kortüm, 1969; Hesse
et al., 1984). This assumption is underlined by the fact that calibration
was not possible with both calibration sets when using baseline-corrected
spectra because baseline correction compensated for the described effect of
decreasing transmission over the entire wave-number range with increasing
graphite content. In addition, DRIFT measurements of pure, i.e. undiluted,
graphite material (not shown) did not reveal any prominent absorption bands.
Note that specific graphite absorption bands that have been reported in the
literature are only valid for oxidized graphite where C–O and <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> groups
have been formed to a certain extent (Tan et al., 2013). While FTIR
spectroscopy may be feasible for determining oxidized or impure graphite, it
was found to be not useful in our case, where an oxidization or impureness of the
used graphite material obviously did not appear. Further, the mentioned
potential signal intensities would occur in the same spectral ranges as
compared to signals from SOM functional groups, thus<?pagebreak page393?> hampering a
quantification of graphite in soil samples. Consequently, the lack of
specific absorption bands resulted in a strong dependency of the calibration
and validation quality on the sample matrix, i.e. its main mineral
component. This matrix effect was illustrated by the incapability of the
PLSR models to predict the graphite contents of the artificial soil 1 or
graphitic schist (Fig. 5 and Table 2).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3942">Residual oxidizable carbon (ROC) as measured with the smart
combustion method plotted against the added <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content to soil
sample, used for creating calibration set 1.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e3964">Transmission spectra of the pure quartz (calibration set 2, sample 1), quartz <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> % graphite (calibration set 2, sample 10), soil <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> % graphite (calibration set 1, sample 10), artificial soil 1 (0.5 %
graphite added) and graphitic schist. The vertical lines denote wave numbers
for which absorption peaks have been reported in the literature (see text).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Strong matrix effects did not allow use of TGA as a universal
quantification method</title>
      <p id="d1e4001">In recent work, the TGA method has been tested and further developed for
differentiating between carbonates and <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">OM</mml:mi></mml:mrow></mml:math></inline-formula> (e.g. Apesteguia et al.,
2018). First analysis of individual components in a quartz matrix revealed
that graphite has a similar thermal stability as carbonates (Fig. 2) and
overlap in the thermal region where dehydroxylation of various minerals
takes place (Földvári, 2011; Fernaíndez et al., 2012). As shown in
Figs. S2 and S3  and discussed by other studies, complete
removal of carbonates from soil sample by acid fumigation is difficult and
might affect further quantitative estimations. For graphite, estimation via
TGA becomes challenging as the acid affects the thermal stability of other
soil constituents and makes the sample hygroscopic (Agarwal and Bucheli,
2011; Apesteguia et al., 2018). Additionally, sample grinding in an agate
disk mill, representing common homogenization process used for small sample
amounts (10s of mg), introduce some changes in thermogravimetric patterns
for some minerals, e.g. micas, but makes it also more “reactive”
(Földvári, 2011). This would mean that mass loss peaks for minerals,
like the used muscovite, can appear sharper and at lower temperatures in
comparison with non-ground materials.</p>
      <p id="d1e4016">The best temperature range to relate mass loss to the amount of added
graphite was between 680  and 840 <inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. For calibration
set 2 (pure quartz matrix) a lower temperature (range) would also be able to
predict the graphite content (Fig. S4), indicating
interferences in the soil matrix of calibration set 1. The best temperature
range was in line with the observation that the mass loss peak of graphite
spans a large range (Fig. 2), most likely a result of the slow oxidation of
this pure C. Other studies found that graphite in a (fluid) sand bed already
oxidized slowly under oxygen-rich conditions at temperatures below
670 <inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C accelerating at higher temperatures (Hayhurst et al., 1998;
Bews et al., 2001).</p>
      <p id="d1e4037">Validation of the created models from the two calibration sets revealed that
interference with other soil components required an individual calibration
for every sample set of specific (mineral) composition (Fig. 5). As shown in
this study, fresh but ground muscovite dehydroxylates between 600 and
1000 <inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 2), which influenced the total mass loss measured in
this temperature range. Other present (minor) minerals, like chlorites
(500–860 <inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) or apatites (200–1400 <inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), might also
increase the bias by influencing mass loss (Földvári, 2011;
Tõnsuaadu et al., 2011). This observation could explain why the model of
calibration set 1, using the soil spiked with graphite, showed a good
predictability of the graphite content in the graphitic schist, as mineral
composition is highly similar between these two samples (Fig. 5 and Table 2).</p>
      <p id="d1e4067">Roth et al. (2012) suggested that the use of anoxic conditions/a
pyrolysing phase during measurement might be useful way to differentiate between
wood and black C. According to our gas switching experiment with the TGA, it
is at least a useful approach to differentiate between graphite and
<inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 4). Due to the artificial mass gain/loss induced by
switching the gases during the measurement, exact temperature ranges for
developing a quantitative method could not be established. As no
universally accepted temperature limits for the quantification of TOC, TIC
or other carbonaceous substances exist, the best temperature ranges for
switching between oxic and anoxic conditions are difficult to define
(Pallasser et al., 2013; Ussiri et al., 2014). For instance, according to
the DIN19539 standard, TOC is defined as the oxidizable C at a maximum of
400 <inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. Others showed that <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> or even <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> of the TOC is not
oxidized at 400 <inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Pallasser et al., 2013; Schiedung et al.,
2017). For the artificial soil in our study a temperature limit of
400 <inline-formula><mml:math id="M200" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C seems to be too low to oxidize all OM, as indicated by the
TGA in Fig. 2, and therefore the pyrolysing phase was set to 500 <inline-formula><mml:math id="M201" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. To obtain a clear peak for the graphite oxidation, it is important that
the other substances, i.e. <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, are already decomposed. In the case
of the artificial soil, it was found that at 850 <inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C all <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
was decomposed and a clear peak for graphite was formed upon re-establishing
the oxic conditions (Fig. 4). With higher <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels or dolomitic
carbonates, a higher temperature might be needed to create a clear
separation between the substances (Földvári, 2011).</p>
      <?pagebreak page394?><p id="d1e4185">TGA seemed to be a good method to identify different organic components of
samples and thus can be used as a complemental technique to other methods for
(organic) C content estimation. For high graphite content with negligible
amounts of dehydroxylating minerals and/or decomposing carbonates, TGA might
be a useful method to quantify graphite.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Minor effect by {$\protect\chem{CaCO_{{3}}}$} and radicals on direct graphite
quantification using smart combustion}?><title>Minor effect by <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and radicals on direct graphite
quantification using smart combustion</title>
      <p id="d1e4208">With the TGA method it was already shown that qualitative differentiation
between carbonates and graphite was possible by changing between oxic and
anoxic conditions during heating of the sample (Fig. 4). Using the Soli-TOC
device, a direct measurement of the released C could be achieved during the
heating/gas changing program, which correspond very closely to the amount of
(added) graphite (Fig. 5 and Table 2). The fact that the Soli-TOC device
measured almost the same TC values as the elemental analyser (Fig. S5) supported the idea that a direct comparison between the ROC
fraction and (added) graphite content is possible.</p>
      <p id="d1e4211">As shown by Hayhurst and Parmar (1998), very small impurities in the
graphite can cause a small part of the graphite to pyrolyse during anoxic
conditions at higher temperatures. Graphitic C of lesser graphitization
might therefore result in a larger loss of graphitic C during pyrolysis and
a greater underestimation of the graphitic C content. Taking a closer look
at the measurements of the artificial soil reveals that a small part of the
graphite began to oxidize under anoxic conditions (Fig. 8). The measurement
of graphite in quartz, as done for calibration set 2, showed that about
6 % of the total C was lost during the pyrolysis phase, while for the
graphitic schist this loss was 2 % (Fig. 8c), resulting in a small
underestimation of the graphitic C content. Bews et al. (2001) suggested
that at temperatures higher than 700 <inline-formula><mml:math id="M207" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, radicals like <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and OH might act as reactants with the pure C. Furthermore, in the method
comparison study for recovering different black C types, Roth et al. (2012)
suggested a (relatively) strong catalytic effect of oxides on black C
oxidation, which was most predominant in soils. These ideas are also
supported by our observation that artificial soil 2 (without <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
measured higher ROC values (0.06 % more C absolute) than artificial soil 1
(with <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Table 2). Also in the carbonate-rich AB soil the added
graphite was underestimated by 7 % (Fig. 5). Furthermore, graphitic C was
underestimated with increasing <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> content (Fig. 6). The 7 %
underestimation by the AB soil, which contains 1.87 % C–<inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
coincided with ROC underestimation of the calibration soil with 2 %C–<inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> addition.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e4292">Examples of smart combustion measurements of the artificial soils
<bold>(a)</bold>, the fresh OM component <bold>(b)</bold>, and the graphite standard and graphitic
schist <bold>(c)</bold>. The blue area delineates the interval where <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gas is
substituted for <inline-formula><mml:math id="M215" 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>. The temperature program is displayed by the red
dashed line. Note that artificial soil 2 (green) is without <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
artificial soil 3 (orange) is without graphite.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://soil.copernicus.org/articles/5/383/2019/soil-5-383-2019-f08.png"/>

        </fig>

      <p id="d1e4345">When the soil contains more thermally resistant OM, which is not oxidizable
at 400 <inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and can be <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> of the OM (Schiedung et al.,
2017), the question arises whether this fraction is pyrolysed during heating under
anoxic conditions or whether it is taken as part of the ROC fraction when oxygen
is again available. The TGA method showed that not all OM has been oxidized
at 400 <inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 2). Taking a closer look at the smart combustion
measurement of the artificial soil 2 and particularly its fresh OM component
(Fig. 8) revealed that a small peak formed upon heating the sample above
400 <inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. This peak represents only a few<?pagebreak page395?> percent of the total OC,
but clearly indicates that OM was oxidized incompletely at 400 <inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.
Although this study focuses on the ROC component, this point might be
important when considering the TOC<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">400</mml:mn></mml:msub></mml:math></inline-formula> and TIC fractions of the smart
combustion method.</p>
      <p id="d1e4406">When a sample contains other forms of thermally resistant OM or even black
C, which are not pyrolysed during the anoxic phase, this C component is
likely to end up in the graphitic C fraction with the smart combustion
method. Especially as most temperature boundaries are empirically derived
(Pallasser et al., 2013; Ussiri et al., 2014), a pre-test with continuous
heating under oxic conditions is therefore recommended to assess the number
of C-containing substances present in the sample by the occurrence of peaks.
Further studies should focus on temperature boundaries of different
substances in relation to their properties and see, for instance, how
graphitic C can be distinguished from other thermally stable C components.</p>
      <p id="d1e4409">Although the thermal boundaries for the different C fractions given in
the DIN19539 (GS) standard are debatable (Ussiri et al., 2014; Schiedung et
al., 2017), we showed that the ROC fraction corresponded closely to the
graphitic C content. Through the smart combustion method, graphitic C could
be differentiated from the other C components in the soil matrix and quantified
satisfactorily, as indicated by the offset in the calibration with graphite
estimation in the artificial/spiked samples.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Potential for combining methods</title>
      <p id="d1e4420">Comparing the ability of the examined methods on predicting graphite
content, it becomes clear that FTIR overestimated, TGA was highly variable,
and smart combustion was most accurate in predicting the graphite content
(Fig. 5). An interesting observation was the similar predicted graphite
content in calibration set 1 by both the FTIR and TGA methods, especially as
FTIR is based on spectral properties and TGA on the thermal stability of the
graphite. It has previously been suggested to combine FTIR and TGA systems
to rapidly characterize the soil OM (Demyan et al., 2013). Oxidation of
graphite upon heating could result in specific infrared absorption bands
(Tan et al., 2013), which nevertheless would still be superimposed by
SOM-specific bands in natural soil samples. As discussed by Demyan et al. (2013), not only the available oxygen but also the heating rate has an
important effect on the charring of OM and thereby on the thermal and
spectral properties of the studied material.</p>
      <p id="d1e4423">As Raman spectroscopy is suitable for distinguishing graphitic C and determining
its degree of graphitization, it seems to be a promising method.
Nonetheless, to use Raman spectroscopy for quantification of substances in a
soil matrix, further studies should first focus on standardization of sample
preparation, as it has a large influence on the measured intensities and
baseline determination and thereby the direct<?pagebreak page396?> quantification of components
(Beysacc and Lazzeri, 2012; Sparkes et al., 2013).</p>
      <p id="d1e4426">Because we focused in this study on the ROC component, which significantly
correlated with the graphite content, a consideration of other components
mentioned in the DIN19539 standard was beyond the scope of this study.
Nonetheless, we found indications that the thermal boundaries defined in the
DIN19539 standard are not ideal for differentiating between soil OM and
inorganic C (Fig. 8). As most carbonates start to decompose at temperatures
of 550 <inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Földvári, 2011), it might be more suitable to
increase the temperature level from 400 to 500 <inline-formula><mml:math id="M224" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for the TOC component. Only
when black C, which might oxidize between 375 and 540 <inline-formula><mml:math id="M225" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Roth et
al., 2012), is present in the sample might this lead to an overestimation
of the TOC content. Using TGA simultaneously with differential scanning
calorimetry, <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> flux measurements (i.e. evolved gas analysis,
Fernández et al., 2012) or the Rock-Eval method focusing on
hydrocarbon, <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and CO release (Behar et al., 2001) could improve
the development of a more standardized method applicable to soils using
combustion elemental analysers. The overlap between the thermal properties
of different C components emphasizes the need to consider the potential as
well as possible interferences with the considered methodology before
applying a fast and standardized analytic method.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e4497">Three widely used methods were examined for their potential to quantify
graphitic C content in soil samples. Calibrations between mid-infrared
transmission as well as DRIFT spectra and graphite contents of well-defined
samples are principally possible via PLSR. However, these calibrations
depend on general effects of graphite contents on the energy transmitted
through the samples rather than on signal intensities of specific graphite
absorption bands. The use of samples from different origins yield strong
matrix effects and hampers the prediction of geogenic graphite contents in
soils. Thermogravimetric analysis of the samples revealed that the
suitability of this qualitative method for identifying graphitic C in soil
samples, although care should be taken for carbonates as they have similar
thermal stability. Quantitative estimation of the graphite content seems
challenging as dihydroxylation of several soil minerals occur at similar
temperatures, requiring the calibration with an empirical model. With
alteration between oxic and anoxic conditions during heating of a sample, a
differentiation between other soil components and graphite could be
established, like applied in the smart combustion method. Further
quantification of the released C during the gas changing heating program
revealed a close correspondence between the measured ROC and original
graphite content. Among the examined methods, the smart combustion method
performs best in differentiating between graphite and other soil components
and thereby also in quantifying graphitic C in soil samples.</p>
</sec>

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

      <p id="d1e4504">Data underlying the figures and tables are accessible via <ext-link xlink:href="https://doi.org/10.25532/OPARA-48" ext-link-type="DOI">10.25532/OPARA-48</ext-link>. Additionally, FTIR spectra and TGA Thermograms are available via respectively <ext-link xlink:href="https://doi.org/10.25532/OPARA-49" ext-link-type="DOI">10.25532/OPARA-49</ext-link> and <ext-link xlink:href="https://doi.org/10.25532/OPARA-47" ext-link-type="DOI">10.25532/OPARA-47</ext-link> (Zethof, 2019).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4516">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/soil-5-383-2019-supplement" xlink:title="pdf">https://doi.org/10.5194/soil-5-383-2019-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4525">ML contributed the FTIR part to the article, including analysis of the data
and editing of the paper.
CV contributed by suggesting and evaluating a test set-up and by commenting on
and editing the paper.
SS contributed by providing measurements with the Soli-TOC device, technical
assistance and editing of the paper.
KK contributed by suggesting and evaluating the test set-up and by commenting on
and editing the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4531">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4537">We thank Manuela Unger and Gisela Ciesielski for the laboratory assistance
and the (anonymous) reviewers for their helpful input. We also want to thank
Johanna Hartmann and the Leibniz Institute (Dresden) for providing the Raman
spectra.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4542">This research has been supported by the Deutsche Forschungsgemeinschaft (DFG) (grant nos. KA1737/13-1, LE3177/1-2), and Eropean Union's Horizon 2020 programme (grant no. 695101).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4548">This paper was edited by Carolina Boix-Fayos and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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    <!--<article-title-html>Identifying and quantifying geogenic organic carbon in soils – the case of graphite</article-title-html>
<abstract-html><p>A widely overlooked source of carbon (C) in the soil environment is organic
carbon (OC) of geogenic origin, e.g. graphite, occurring mostly in
metamorphic rocks. Appropriate methods are not available to quantify
graphite and to differentiate it from other organic and inorganic C sources
in soils. This methodological shortcoming also complicates studies on OC in
soils formed on graphite-containing bedrock because of the unknown
contribution of a very different soil OC source.</p><p>In this study, we examined Fourier-transform infrared (FTIR) spectroscopy,
thermogravimetric analysis (TGA) and the smart combustion method for their
ability to identify and quantify graphitic C in soils. For this
purpose, several artificial soil samples with graphite, CaCO<sub>3</sub> and plant
litter as the usual C components were created. A graphitic standard was mixed
with pure quartz and a natural soil for calibration and validation of the
methods over a graphitic C range of 0.1&thinsp;% to 4&thinsp;%. Furthermore, rock and soil
material from a graphite-bearing schist and a schist without natural
graphite were used for method validation.</p><p><i>FTIR</i>. As specific signal intensities of distinct graphite absorption bands were
missing, calibration could only be performed on general effects of graphite
contents on the energy transmitted through the samples. The use of samples
from different mineral origins yielded significant matrix effects and
hampered the prediction of geogenic graphite contents in soils.</p><p><i>TGA</i>. Thermogravimetric analysis, based on changes in mass loss due to
differences in thermal stabilities, is suggested as a useful method for
graphite identification, although (calcium) carbonate and graphitic C have a
similar thermal stability. However, the quantitative estimation of the
graphite contents was challenging as dehydroxylation (mass loss) of a wide
range of soil minerals occurs in a similar temperature range.</p><p><i>Smart combustion</i>. The method is based on measuring the release of C during a combustion
program, quantified by a non-dispersive infrared detector (NDIR) as part
of a commercial elemental analyser, whereby carbonates and graphitic C could
be separated by switching between oxic and anoxic conditions during thermal
decomposition. Samples were heated to 400&thinsp;°C under oxygen-rich
conditions, after which further heating was done under anoxic conditions
till 900&thinsp;°C. The residual oxidizable carbon (ROC), hypothesized to
be graphitic C, was measured by switching back to oxygenic conditions at
900&thinsp;°C. Test samples showed promising results for quantifying
graphitic C in soils. For the purpose of quantifying graphitic C content in
soil samples, smart combustion was the most promising method of those which
have been examined in this study. However, caution should be taken with
carbonate-rich soils as increasing amounts of carbonate resulted in an
underestimation of graphitic C content.</p></abstract-html>
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