<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-22-929-2022</article-id><title-group><article-title>An assessment of the tropospherically accessible photo-initiated ground
state chemistry of organic carbonyls</article-title><alt-title>Photo-initiated ground state chemistry</alt-title>
      </title-group><?xmltex \runningtitle{Photo-initiated ground state chemistry}?><?xmltex \runningauthor{K.~N.~Rowell et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Rowell</surname><given-names>Keiran N.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Kable</surname><given-names>Scott H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jordan</surname><given-names>Meredith J. T.</given-names></name>
          <email>meredith.jordan@sydney.edu.au</email>
        <ext-link>https://orcid.org/0000-0002-9871-8605</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>School of Chemistry, University of Sydney, Sydney, Australia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Chemistry, University of New South Wales, Sydney, Australia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Meredith J. T. Jordan (meredith.jordan@sydney.edu.au)</corresp></author-notes><pub-date><day>20</day><month>January</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>2</issue>
      <fpage>929</fpage><lpage>949</lpage>
      <history>
        <date date-type="received"><day>21</day><month>May</month><year>2021</year></date>
           <date date-type="rev-request"><day>15</day><month>June</month><year>2021</year></date>
           <date date-type="rev-recd"><day>26</day><month>October</month><year>2021</year></date>
           <date date-type="accepted"><day>3</day><month>November</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e106">Carbonyls are among the most abundant volatile organic compounds in the
atmosphere. They are central to atmospheric photochemistry as absorption of
near-UV radiation by the C=O chromophore can lead to photolysis. If
photolysis does not occur on electronic excited states, non-radiative
relaxation to the ground state will form carbonyls with extremely high
internal energy. These “hot” molecules can access a range of ground state
reactions. Up to nine potential ground state reactions are investigated
at the B2GP-PLYP-D3/def2-TZVP level of theory for a test set of 20
representative carbonyls. Almost all are energetically accessible under
tropospheric conditions. Comparison with experiment suggests the most
significant ground state dissociation pathways will be concerted triple
fragmentation in saturated aldehydes, Norrish type III dissociation to
form another carbonyl, and H<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss involving the formyl H atom
in aldehydes. Tautomerisation, leading to more reactive unsaturated
species, is also predicted to be energetically accessible and is likely to
be important when there is no low-energy ground state dissociation pathway,
for example in <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls and some ketones. The
concerted triple fragmentation and H<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss pathways have immediate
atmospheric implications for global H<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> production, and tautomerisation has
implications for the atmospheric production of organic acids.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e159">Carbonyls are a class of volatile organic compounds (VOCs) central to
atmospheric chemistry. They arise, in large quantities, from primary
anthropogenic and biogenic emissions and via secondary atmospheric processes
<xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx74 bib1.bibx21" id="paren.1"/>. For example,
small organic carbonyls, such as acetone, formaldehyde and acetaldehyde, which
are ranked in the top 25 of all anthropogenically emitted molecules by mass
<xref ref-type="bibr" rid="bib1.bibx101" id="paren.2"/>, are emitted as pollutants <xref ref-type="bibr" rid="bib1.bibx21" id="paren.3"/>.
Up to 10 % of carbon initially fixed by plants is also subsequently emitted as
biological volatile organic compounds (BVOCs), which include directly emitted
carbonyls, as well as other volatile species that are subsequently oxidised to
carbonyls <xref ref-type="bibr" rid="bib1.bibx99" id="paren.4"/>. Indeed,
carbonyls are generated throughout the oxidative degradation pathways of all
VOCs <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx7" id="paren.5"/>.
Atmospheric concentrations of organic carbonyls are in the pptV–ppbV
range <xref ref-type="bibr" rid="bib1.bibx108" id="paren.6"/>, with high concentrations found at low altitudes and
in polluted environments
<xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx83 bib1.bibx40 bib1.bibx73" id="paren.7"/>.</p>
      <p id="d1e184">There are of the order of <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> known or suspected VOCs in the
atmosphere <xref ref-type="bibr" rid="bib1.bibx34" id="paren.8"/>. As a category, BVOCs are
structurally complex, and carbonyls formed by their subsequent oxidation will
reflect this structural diversity. Consequently, atmospheric carbonyls can have
varied chemical structures and reactivities <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx9" id="paren.9"/>.
Structural complexities include double bonds, branched carbon chains and varied
functionalisation.</p>
      <p id="d1e204">The atmospheric importance of carbonyls arises because they
are one of the few classes of VOC that can efficiently absorb solar radiation
in the
troposphere. In the atmosphere,<?pagebreak page930?> carbonyl photochemistry is most notable for its
generation of radicals following excited state bond cleavage, the Norrish type I reaction (NTI) <xref ref-type="bibr" rid="bib1.bibx81" id="paren.10"/>, and these radicals driving key
atmospheric reactions <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx125" id="paren.11"/>. However, many other
reactions, including reactions on the ground electronic state, <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, are
possible.</p>
      <p id="d1e224">The intensity of solar radiation reaching the troposphere is shown in grey on
the right axis of Fig. <xref ref-type="fig" rid="Ch1.F1"/>. Most UV-B radiation (280–315 nm) is absorbed by the ozone layer, and the intensity of UV-A radiation
(315–400 nm) increases with increasing wavelength. The maximum photon energy
available in the troposphere is <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol (300 nm) and is shown in
violet on relevant energetic plots below. The overlap of a given carbonyl
absorption spectrum and the solar spectrum defines the actinic energy window in
which photo-initiated chemistry can occur. In carbonyls, a near-UV photon
excites the <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>←</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">π</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) transition of the C=O
chromophore. The absorption wavelength depends on the structural class of the
carbonyl and is determined by the substituents attached to the C=O. UV
absorption spectra for representative carbonyls are shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>.</p>

      <?xmltex \floatpos{t!}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e277">UV absorption spectra of representative carbonyls: aldehydes
(represented by propanal), ketones (butanone), enals (acrolein), enones
(methyl vinyl ketone) and <inline-formula><mml:math id="M11" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls (diacetyl). The solar
spectrum is shown in grey, plotted against the right ordinate.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f01.png"/>

      </fig>

      <p id="d1e293">Over the past couple of decades, it has become apparent that there are carbonyl
“photochemical” pathways on the ground electronic state (<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). These
photo-initiated reactions on <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> include the novel class of “roaming”
reactions <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx15" id="paren.12"/>, in which
partly dissociated radical fragments become trapped in each other's van der
Waals well and recombine to generate molecular products. However, more
conventional <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition state (TS) reactions, which occur over a barrier,
as well as barrierless <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions, are also being
discovered <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx105 bib1.bibx110" id="paren.13"/>. Despite the
growing evidence of carbonyl ground state reactions, following excitation at
energies accessible in the troposphere (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> nm), these
reactions are almost entirely absent from the reaction schemes of contemporary
atmospheric models
<xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx90 bib1.bibx53 bib1.bibx54 bib1.bibx11" id="paren.14"/>.</p>
<sec id="Ch1.S1.SS1">
  <label>1.1</label><title>The tropospheric fate of carbonyls</title>
      <p id="d1e369">The tropospheric fate of an illustrative carbonyl, acetaldehyde (CH<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHO),
is shown schematically in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. A near-UV
photon excites the <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>←</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="italic">π</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) transition. The actinic
absorption window, indicated in Fig. <xref ref-type="fig" rid="Ch1.F2"/> by violet
shading, is bounded by the lowest energy excitation to <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the highest energy photon available in the troposphere. For most carbonyls the <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> state
is bound at actinic energies, as shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>,
and <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions are inaccessible <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx91" id="paren.15"/>. Intersystem
crossing (ISC) from <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to the lowest energy triplet state, <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is
formally spin-forbidden; however, as shown schematically in Fig. <xref ref-type="fig" rid="Ch1.F2"/>, carbonyl <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> minimum energy
geometries are almost identical, and the energetic separation between them is
small. This allows relatively fast <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ISC
<xref ref-type="bibr" rid="bib1.bibx42" id="paren.16"/>,
indicated in Fig. <xref ref-type="fig" rid="Ch1.F2"/> by a thick ISC arrow. On
<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, NTI <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-bond cleavage is the most common photolysis
reaction <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx131" id="paren.17"/>, and we define NTI<inline-formula><mml:math id="M30" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and NTI<inline-formula><mml:math id="M31" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> as
cleavage of the <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-bond to the larger and smaller substituents,
respectively. In CH<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHO NTI<inline-formula><mml:math id="M34" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> results in the formation of <inline-formula><mml:math id="M35" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup></mml:math></inline-formula>CH<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> +
<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:math></inline-formula>HCO and NTI<inline-formula><mml:math id="M38" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> yields CH<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CO<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup><mml:msup><mml:mo>+</mml:mo><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>H. On
<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> both NTI<inline-formula><mml:math id="M42" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and NTI<inline-formula><mml:math id="M43" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> involve an energetic barrier, shown in orange in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e676">Schematic of the atmospheric fate of acetaldehyde (CH<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHO)
following absorption of a near-UV photon. Possible outcomes depend on
excitation energy and include electronic surface crossing, collisional
energy transfer (CET), unimolecular dissociation including roaming (dashed
arrows) and isomerisation.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f02.png"/>

        </fig>

      <p id="d1e694">For larger carbonyls, the Norrish type II (NTII) intramolecular
hydrogen-transfer reaction, forming an alkene and an enol, also occurs and is
initiated in an electronic excited state
<xref ref-type="bibr" rid="bib1.bibx106 bib1.bibx107" id="paren.18"/>.
Although NTI and NTII are typically the major contributors to the photolysis
quantum yield (QY) of carbonyls <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx116 bib1.bibx131" id="paren.19"/>, if
excitation is to energies below excited state photolysis thresholds, or if the
electronically excited carbonyl is collisionally cooled below these
thresholds, non-radiative relaxation to <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> must occur; fluorescence and
phosphorescence QYs in carbonyls are typically <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %
<xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx24" id="paren.20"/>. The large energy
separation between <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> means <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> internal
conversion (IC) will be slow and less important than
ISC <xref ref-type="bibr" rid="bib1.bibx68" id="paren.21"/>. Indeed, rapid IC is usually associated with
conical intersections: geometric configurations in which two electronic surfaces
are degenerate <xref ref-type="bibr" rid="bib1.bibx98" id="paren.22"/>. In the main, these lie above the
actinic energy range in carbonyls <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx20 bib1.bibx109" id="paren.23"/>.</p>
      <?pagebreak page931?><p id="d1e778">The carbonyl RC=O group is planar in the <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> minimum energy geometry but
pyramidalised in the <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> minima <xref ref-type="bibr" rid="bib1.bibx33" id="paren.24"/>. The change in
electron spin, geometric dissimilarity and energetic separation between the
<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> minima suggest <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ISC may be slow. However,
the non-bonding oxygen lone pair orbital, <inline-formula><mml:math id="M56" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>, in C=O is approximately
orthogonal to the anti-bonding <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">π</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> excited state orbital. Thus the change
in electron spin angular momentum in <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relaxation is
accompanied by a change in electron orbital angular momentum. This results in
conservation of total electron angular momentum and a high <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>→</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ISC rate, as dictated by El-Sayed's rule <xref ref-type="bibr" rid="bib1.bibx31" id="paren.25"/>. Indeed, ISC
to <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can be kinetically competitive even when NTI reactions are
accessible <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx2" id="paren.26"/>.</p>
      <p id="d1e930">The most likely carbonyl relaxation route to <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is therefore via two
sequential ISC steps <xref ref-type="bibr" rid="bib1.bibx109" id="paren.27"/>. This generates
vibrationally “hot” photoexcited <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> molecules that retain much of the
initial UV photon energy as internal energy. This “hot” carbonyl can collide
with other atmospheric molecules, and collisional energy transfer (CET) removes
excess vibrational energy, returning the molecule to thermal equilibrium. This
is indicated in Fig. <xref ref-type="fig" rid="Ch1.F2"/> by angular green arrows in
the <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> well, although CET will also occur in <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and isomer
wells <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx4" id="paren.28"/>. The photoexcited <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> carbonyls are
conformationally flexible, and <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation and isomerisation will
compete with CET.</p>
      <p id="d1e1019">This paper explores, using computational chemistry, the possible <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dissociation and isomerisation pathways and how they depend on the structural
class of the carbonyl.</p>
</sec>
<sec id="Ch1.S1.SS2">
  <label>1.2</label><title>The test set</title>
      <p id="d1e1041">There are a vast number of carbonyls in the atmosphere with little experimental
data in comparison to this diversity <xref ref-type="bibr" rid="bib1.bibx8" id="paren.29"/>.
Here we consider a test set of 20 carbonyls, which includes the 12 species that
have explicit photolysis reactions within the Master Chemical Mechanism
<xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx90" id="paren.30"/> and 5 species in the GEOS-Chem <xref ref-type="bibr" rid="bib1.bibx11" id="paren.31"/>
atmospheric chemistry models. We also include carbonyls with atmospherically
representative structural features based on bond order or substitution around
the C=O chromophore. The 20 carbonyls in the test set are shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/> and were previously used in a study of excited
state NTI photolysis <xref ref-type="bibr" rid="bib1.bibx91" id="paren.32"/>. They are colour-coded into seven
structurally distinct classes, which determine their absorption spectra (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and chemical behaviour
<xref ref-type="bibr" rid="bib1.bibx8" id="paren.33"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1066">The 20 carbonyls in the test set, colour-coded according to
carbonyl class.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f03.png"/>

        </fig>

      <p id="d1e1075">Quantum chemistry methods are used to calculate reaction thresholds for up to
nine <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> unimolecular reactions that may be accessible under tropospheric
conditions. In our quantum chemistry calculations, the threshold is defined
as the limiting zero-point-corrected electronic energy for the reaction to
occur. Experimental thresholds are the lowest energies for which reaction has
been observed to occur and hence include tunnelling through any barrier to
reaction. In the figures below, the nine possible unimolecular reactions are
colour-coded according to Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Explicitly, the reactions are as follows:
<list list-type="bullet"><list-item>
      <p id="d1e1093">decarbonylation (CO loss)</p></list-item><list-item>
      <p id="d1e1097">concerted triple fragmentation (TF)</p></list-item><list-item>
      <p id="d1e1101">Norrish type III <inline-formula><mml:math id="M70" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H transfer (NTIII)</p></list-item><list-item>
      <p id="d1e1112">H<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from hydrogens at the formyl and <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>
positions (formyl <inline-formula><mml:math id="M73" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M74" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>)</p></list-item><list-item>
      <p id="d1e1146">H<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from hydrogens at the <inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M77" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>
positions (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula>)</p></list-item><list-item>
      <p id="d1e1185">H<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from hydrogens at the <inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>
positions (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:math></inline-formula>)</p></list-item><list-item>
      <p id="d1e1224">alkane/alkene elimination (AE) in saturated/unsaturated
ketones</p></list-item><list-item>
      <p id="d1e1228">keto–enol tautomerisation</p></list-item><list-item>
      <p id="d1e1232">enal–ketene tautomerisation.</p></list-item></list>
Ground state NTI reactions are also possible for all carbonyls in the test set.
These reactions are barrierless, and their asymptotic energies have been
previously reported <xref ref-type="bibr" rid="bib1.bibx91" id="paren.34"/>. Other isomerisations are possible. For
example, acetaldehyde can isomerise to oxirane or methylhydroxycarbene.
Although these isomers are theoretically accessible at actinic energies, their
formation barriers are very high with low barriers for the reverse
isomerisation <xref ref-type="bibr" rid="bib1.bibx47" id="paren.35"/>. Thus they are unlikely to be
collisionally stabilised before
isomerising back to the parent carbonyl. Norrish type II reactions are possible for butanal, pentanal and pentan-2-one and have not
been considered here as they involve excited electronic
states <xref ref-type="bibr" rid="bib1.bibx106 bib1.bibx107" id="paren.36"/>.</p>
      <p id="d1e1247">Seven of the <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions listed above are illustrated for butanal in Fig. S1 of the Supplement; alkane elimination is only available to
ketones and enal–ketene tautomerisation is only
available to acrolein, methacrolein and crotonaldehyde. The figure also
includes schematic representations of the concerted TF and NTIII mechanisms.</p>
      <p id="d1e1261">The calculated <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> thresholds are used to determine general energetic trends
that can be applied to larger carbonyls and to identify the most likely <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reactions for each class of carbonyl under tropospheric conditions. These
reactions are then assessed in terms of their tropospheric significance.
Ultimately, however, the most important reactions will be those with the
highest reaction rate coefficients. Although the threshold energy is, in
general, the largest contributor to the magnitude of a reaction rate
coefficient, entropy is also important. For similar thresholds, reactions with
loose transition states, for example, the variational transition states
associated with barrierless reactions like the <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI reactions, will have
higher rate coefficients. By identifying reactions that may be important we
will be able to focus future work on calculating their reaction rate
coefficients and incorporating them into tropospheric master equation models.</p>
</sec>
</sec>
<?pagebreak page932?><sec id="Ch1.S2">
  <label>2</label><title>Computational methods</title>
      <p id="d1e1306"><inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> calculations were performed with the B2GP-PLYP double-hybrid density
functional <xref ref-type="bibr" rid="bib1.bibx57" id="paren.37"/>, using the def2-TZVP canonical basis
set <xref ref-type="bibr" rid="bib1.bibx120" id="paren.38"/> and the RIJK resolution of the identity approximation
with the def2/JK and def2-TZVP/C auxiliary basis sets. The use of the RIJK
approximation, and the “RI-” prefix, is taken as implicit. All calculations
were dispersion-corrected using the D3(BJ) scheme
<xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx38" id="paren.39"/>, abbreviated D3 below. Geometry
optimisations and frequency calculations were performed using the ORCA
electronic structure programme <xref ref-type="bibr" rid="bib1.bibx80" id="paren.40"/>. All zero-point energies were
scaled with the literature scaling factor of 0.9752 <xref ref-type="bibr" rid="bib1.bibx60" id="paren.41"/>.</p>
      <p id="d1e1334">The B2GP-PLYP functional has been found to give errors <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol
across a diverse range of benchmark data <xref ref-type="bibr" rid="bib1.bibx57" id="paren.42"/>.
B2GP-PLYP-D3/def2-TZVP was also validated by the authors against experimental
carbonyl <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> photolysis data, with mean absolute deviations of <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol <xref ref-type="bibr" rid="bib1.bibx91" id="paren.43"/>.  Comparisons of our<?pagebreak page933?> B2GP-PLYP-D3/def2-TZVP
thresholds with previous literature are provided in Tables S1–S6 of the
Supplement and indicate excellent agreement with high-level
correlated methods using accurate geometries. Note that, for <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> energy
differences between structurally similar molecules, as studied here, relative
errors would be expected to be lower, approaching 4 kJ/mol “chemical accuracy”
<xref ref-type="bibr" rid="bib1.bibx85" id="paren.44"/>.</p>
      <p id="d1e1389">Transition states were confirmed as first-order saddle points with a single
imaginary frequency. Intrinsic reaction coordinate (IRC) calculations were
performed to ensure that the normal mode corresponding to the imaginary
frequency connected the desired reactant and product minima. In order to reduce
computational burden, IRC calculations were not performed where a TS had a
structure and reaction coordinate directly analogous to a homologous molecule
for which the reaction mechanism had been verified.</p>
      <p id="d1e1392">Schematic representation of the optimised saddle point structures are shown in
the figures below. They are also represented in Figs. S2–S7, and their
Cartesian coordinates are provided in the Supplement. In general, only
the lowest energy thresholds for each reaction class are discussed below, and
higher energy thresholds are reported in the Supplement.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e1403">The lowest energy calculated reaction thresholds for the up to nine <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reactions considered are reported in Table <xref ref-type="table" rid="Ch1.T1"/> for carbonyls
in the test set. Additional, higher energy thresholds are reported in the Supplement. For some of the carbonyls considered, asymptotic
energies for NTI reactions can be obtained from (effectively) experimental
enthalpies of formation at 0 K, tabulated in the Active Thermochemical Tables <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx93" id="paren.45"/>. The results in Table <xref ref-type="table" rid="Ch1.T1"/> with
uncertainties are based on these experimental enthalpies of formation. The
remaining NTI asymptotic energies shown in Table <xref ref-type="table" rid="Ch1.T1"/> have
been previously calculated and are reproduced from <xref ref-type="bibr" rid="bib1.bibx91" id="text.46"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1433">Lowest energy zero-point vibrational-energy-corrected
B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> thresholds (kJ/mol) for the indicated
unimolecular reactions of the carbonyls in the test set (see text).</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.85}[.85]?><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <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:colspec colnum="8" colname="col8" align="center"/>
     <oasis:colspec colnum="9" colname="col9" align="center"/>
     <oasis:colspec colnum="10" colname="col10" align="center" colsep="1"/>
     <oasis:colspec colnum="11" colname="col11" align="center"/>
     <oasis:colspec colnum="12" colname="col12" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col4" align="center"/>
         <oasis:entry rowsep="1" namest="col5" nameend="col7">H<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss (H positions) </oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry rowsep="1" namest="col9" nameend="col10" colsep="1">Tautomerisation </oasis:entry>
         <oasis:entry rowsep="1" namest="col11" nameend="col12">Asymptotic<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CO loss</oasis:entry>
         <oasis:entry colname="col3">TF</oasis:entry>
         <oasis:entry colname="col4">NTIII</oasis:entry>
         <oasis:entry colname="col5">(formyl <inline-formula><mml:math id="M111" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M112" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col8">AE</oasis:entry>
         <oasis:entry colname="col9">Keto–enol</oasis:entry>
         <oasis:entry colname="col10">Enal–ketene</oasis:entry>
         <oasis:entry colname="col11">NTI<inline-formula><mml:math id="M115" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">NTI<inline-formula><mml:math id="M116" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col12">Aldehydes </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Formaldehyde</oasis:entry>
         <oasis:entry colname="col2">352</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">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">362.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mn mathvariant="normal">362.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.1</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Acetaldehyde</oasis:entry>
         <oasis:entry colname="col2">352</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">337</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">281</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mn mathvariant="normal">346.4</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.3</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">367.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.4</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Propanal</oasis:entry>
         <oasis:entry colname="col2">348</oasis:entry>
         <oasis:entry colname="col3">295</oasis:entry>
         <oasis:entry colname="col4">332</oasis:entry>
         <oasis:entry colname="col5">314</oasis:entry>
         <oasis:entry colname="col6">426</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">278</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mn mathvariant="normal">343.8</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.4</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">356<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Butanal</oasis:entry>
         <oasis:entry colname="col2">351</oasis:entry>
         <oasis:entry colname="col3">299</oasis:entry>
         <oasis:entry colname="col4">311</oasis:entry>
         <oasis:entry colname="col5">320</oasis:entry>
         <oasis:entry colname="col6">410</oasis:entry>
         <oasis:entry colname="col7">516</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">282</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">341<inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">360<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pentanal</oasis:entry>
         <oasis:entry colname="col2">350</oasis:entry>
         <oasis:entry colname="col3">294</oasis:entry>
         <oasis:entry colname="col4">310</oasis:entry>
         <oasis:entry colname="col5">317</oasis:entry>
         <oasis:entry colname="col6">409</oasis:entry>
         <oasis:entry colname="col7">499</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">281</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">345<inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">362<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2-Methylpropanal</oasis:entry>
         <oasis:entry colname="col2">345</oasis:entry>
         <oasis:entry colname="col3">304</oasis:entry>
         <oasis:entry colname="col4">330</oasis:entry>
         <oasis:entry colname="col5">310</oasis:entry>
         <oasis:entry colname="col6">422</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">296</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">332<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">358<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2,2-Dimethylpropanal</oasis:entry>
         <oasis:entry colname="col2">342</oasis:entry>
         <oasis:entry colname="col3">306</oasis:entry>
         <oasis:entry colname="col4">322</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">329<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">358<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col12">Ketones </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Acetone</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">–</oasis:entry>
         <oasis:entry colname="col8">363</oasis:entry>
         <oasis:entry colname="col9">275</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">346.6</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">346.6</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.5</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Butanone</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">354</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">447</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">351</oasis:entry>
         <oasis:entry colname="col9">274</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">344.7</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.0</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">346<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pentan-2-one</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">316</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">416</oasis:entry>
         <oasis:entry colname="col7">513</oasis:entry>
         <oasis:entry colname="col8">347</oasis:entry>
         <oasis:entry colname="col9">270</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">338<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">342<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Pentan-3-one</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">350</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">442</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">347</oasis:entry>
         <oasis:entry colname="col9">276</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">342<inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">342<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col12"><inline-formula><mml:math id="M139" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M140" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-Unsaturated </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Acrolein</oasis:entry>
         <oasis:entry colname="col2">360</oasis:entry>
         <oasis:entry colname="col3">343</oasis:entry>
         <oasis:entry colname="col4">394</oasis:entry>
         <oasis:entry colname="col5">373</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">291</oasis:entry>
         <oasis:entry colname="col10">293</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mn mathvariant="normal">397.9</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.2</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">352<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Crotonaldehyde</oasis:entry>
         <oasis:entry colname="col2">375</oasis:entry>
         <oasis:entry colname="col3">351</oasis:entry>
         <oasis:entry colname="col4">387</oasis:entry>
         <oasis:entry colname="col5">386</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">133<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col10">292</oasis:entry>
         <oasis:entry colname="col11">412<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">363<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methacrolein</oasis:entry>
         <oasis:entry colname="col2">362</oasis:entry>
         <oasis:entry colname="col3">338</oasis:entry>
         <oasis:entry colname="col4">379</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">285</oasis:entry>
         <oasis:entry colname="col11">381<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">363<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methyl vinyl ketone</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">417</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">329</oasis:entry>
         <oasis:entry colname="col9">270</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">393.4</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.0</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">338<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">MIPK</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">395</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">334</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">376<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">343<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col12">Dicarbonyls </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glyoxal</oasis:entry>
         <oasis:entry colname="col2">225<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">247<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">290.5</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.6</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mn mathvariant="normal">360.2</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.4</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Methylglyoxal</oasis:entry>
         <oasis:entry colname="col2">235<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">330</oasis:entry>
         <oasis:entry colname="col4">400</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">293<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">354<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Diacetyl</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">415</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">–</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mn mathvariant="normal">303.9</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.8</mml:mn><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">346<inline-formula><mml:math id="M160" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col12">Hydroxy-aldehyde </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Glycolaldehyde</oasis:entry>
         <oasis:entry colname="col2">345</oasis:entry>
         <oasis:entry colname="col3">229<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">292</oasis:entry>
         <oasis:entry colname="col6">384<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">–</oasis:entry>
         <oasis:entry colname="col8">–</oasis:entry>
         <oasis:entry colname="col9">272</oasis:entry>
         <oasis:entry colname="col10">–</oasis:entry>
         <oasis:entry colname="col11">310<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col12">358<inline-formula><mml:math id="M164" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \begin{scaleboxenv}{.85}[.85]?><table-wrap-foot><p id="d1e1447"><inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msup></mml:math></inline-formula> NTI<inline-formula><mml:math id="M95" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and NTI<inline-formula><mml:math id="M96" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> are cleavages to the larger and smaller fragments,
respectively.
<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">b</mml:mi></mml:msup></mml:math></inline-formula> Values with uncertainties are determined from experimental enthalpies of
formation from the Active Thermochemical Tables (v. 1.22p) <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx94" id="paren.47"/>.
<inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msup></mml:math></inline-formula> Reproduced from <xref ref-type="bibr" rid="bib1.bibx91" id="text.48"/>.
<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msup></mml:math></inline-formula> For a [1,5]-H atom shift to form but-1,3-dien-1-ol.
<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">e</mml:mi></mml:msup></mml:math></inline-formula> For formation of formaldehyde <inline-formula><mml:math id="M101" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CO. <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">f</mml:mi></mml:msup></mml:math></inline-formula> For a four-centre TS involving the
two formyl H atoms.
<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">g</mml:mi></mml:msup></mml:math></inline-formula> For formation of acetaldehyde <inline-formula><mml:math id="M104" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CO.
<inline-formula><mml:math id="M105" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msup></mml:math></inline-formula> The <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H for the TF transition state is from the OH moiety.
<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msup></mml:math></inline-formula> The H<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss TS involves the OH hydrogen.</p></table-wrap-foot><?xmltex \end{scaleboxenv}?></table-wrap>

      <p id="d1e3042">Each reaction type is discussed separately below, with the three
H<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss reactions discussed together. These data and available literature
and experimental results are then analysed to determine chemically rationalised
trends that will be applicable to larger carbonyls.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Decarbonylation (CO loss)</title>
      <p id="d1e3062">Decarbonylation, the unimolecular loss of a CO molecule, is uncommon in
gas-phase ketones. It has been observed in acetone, although the mechanism is
unclear; <xref ref-type="bibr" rid="bib1.bibx102" id="text.49"/> postulated a direct mechanism, presumably
via a TS, and roaming reactions have also been suggested
in acetone <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx95" id="paren.50"/>. Here, like previous
studies <xref ref-type="bibr" rid="bib1.bibx95 bib1.bibx105" id="paren.51"/>, we find no computational evidence for direct
decarbonylation TSs in ketones.</p>
      <p id="d1e3074"><?xmltex \hack{\newpage}?>In aldehydes, the formyl hydrogen is transferred to the main alkyl chain,
forming CO and an alkane: R–(C=O)–H <inline-formula><mml:math id="M166" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> CO <inline-formula><mml:math id="M167" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> RH. Both roaming and
TS decarbonylation mechanisms have been observed in gas-phase reactions of
small aldehydes
<xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx52 bib1.bibx45 bib1.bibx92 bib1.bibx124" id="paren.52"/>.
Figure <xref ref-type="fig" rid="Ch1.F4"/> shows TS decarbonylation thresholds for the aldehydes
in the test set.</p>

      <?xmltex \floatpos{t!}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3099">Zero-point
vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decarbonylation
thresholds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f04.png"/>

        </fig>

      <p id="d1e3120">One trend apparent in Fig. <xref ref-type="fig" rid="Ch1.F4"/> is that extension of the alkyl
chain has little effect on the decarbonylation threshold, with formaldehyde through
pentanal all predicted to have <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">350</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol thresholds.
The predicted decrease in threshold upon branching at the <inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position is
<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol.</p>
      <p id="d1e3152">The decarbonylation thresholds in the <inline-formula><mml:math id="M172" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated enals,
acrolein and methacrolein, are <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol higher than those for saturated
aldehydes as decarbonylation involves breaking a resonance-stabilised
C–C bond. Further delocalisation of the <inline-formula><mml:math id="M175" display="inline"><mml:mi mathvariant="italic">π</mml:mi></mml:math></inline-formula> system increases the threshold
to 375 kJ/mol for crotonaldehyde.</p>
      <p id="d1e3186">The <inline-formula><mml:math id="M176" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls are predicted to have the lowest decarbonylation
thresholds, which is consistent with the two electron-withdrawing oxygen
substituents reducing the electron density between the carbonyl moieties and
weakening the <inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-C–C bond. Four decarbonylation thresholds were found
for glyoxal (Table S1 and Fig. S3 in Sect. S2 of the Supplement),
with the lowest energy
threshold of 225 kJ/mol corresponding to a non-planar TS and formation of
formaldehyde and CO. This threshold is lower than the 251 kJ/mol
threshold to form hydroxymethylene, HOCH and CO. A similar non-planar TS is
found for decarbonylation in methylglyoxal to form acetaldehyde, which has a
slightly higher threshold of 235 kJ/mol. Here, substitution strengthens the
central C–C bond due to electron donation from the CH<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>
substituent, and there is also a steric penalty at the TS (Fig. S3a
vs. S3e).</p>
      <?pagebreak page934?><p id="d1e3212">All calculated decarbonylation
thresholds are accessible at the maximum tropospheric photon energy of 400 kJ/mol, although, with the exception of formaldehyde <xref ref-type="bibr" rid="bib1.bibx77" id="paren.53"/>,
CO-loss QYs are low. For example, they are  measured to be <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> in acetaldehyde <xref ref-type="bibr" rid="bib1.bibx13" id="paren.54"/> and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> for butanal
<xref ref-type="bibr" rid="bib1.bibx14" id="paren.55"/>.</p>
      <p id="d1e3244">The thresholds for roaming decarbonylation reactions are linked to the <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
NTI asymptotic
energies <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx72 bib1.bibx15" id="paren.56"/>.
For example, the roaming threshold in formaldehyde is <inline-formula><mml:math id="M182" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 kJ/mol below the
radical dissociation threshold <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx87" id="paren.57"/>, and both H and
CH<inline-formula><mml:math id="M183" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> roaming has been observed in acetaldehyde <xref ref-type="bibr" rid="bib1.bibx66" id="paren.58"/>. As such,
the majority of aldehydes in the test set have roaming thresholds that are
similar to or lower in energy than the TS decarbonylation threshold, with
formaldehyde a notable exception. Roaming pathways associated with NTI may also
be present
in ketones <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx95" id="paren.59"/>. This suggests decarbonylation will
be
energetically accessible under tropospheric conditions for all carbonyls.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Triple fragmentation (TF)</title>
      <p id="d1e3295">We define the TF reaction as a concerted <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction forming three products
via a single TS, in which one of these products is H<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. For example, the TF
reaction in the saturated aldehyde, propanal, is CH<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>–CH<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>–(C=O)H <inline-formula><mml:math id="M188" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> H<inline-formula><mml:math id="M189" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>C=CH<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M191" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H<inline-formula><mml:math id="M192" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M193" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CO. For enals, the hydrocarbon product will be an
alkyne. In
dicarbonyls, TF forms H<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, and either a second CO or ketene. Predicted
<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> TF thresholds are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>.
All of the TF reactions shown, except that for glyoxal, involve a five-centre TS
and H loss from a <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogen. In glyoxal, the four-centre TS involves the
two formyl hydrogens. The TSs are shown explicitly in Fig. S4 of the Supplement and are “late”, resembling the
photolysis products. As a result, TF threshold energies are strongly influenced
by the stability of the products.</p>

      <?xmltex \floatpos{t!}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3417">Zero-point vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP
<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concerted triple fragmentation thresholds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f05.png"/>

        </fig>

      <p id="d1e3437">The TF thresholds for the saturated aldehydes are not significantly affected by
chain extension, with thresholds of 295, 299 and 294 kJ/mol for propanal,
butanal and pentanal, respectively. The  effect of alkyl branching at the
<inline-formula><mml:math id="M198" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position is inconsistent and small. It raises the thresholds to 304 kJ/mol for 2-methylpropanal and 306 kJ/mol for<?pagebreak page935?> 2,2-dimethylpropanal but lowers
it for methacrolein (338 kJ/mol) compared to acrolein (343 kJ/mol). These
differences are close to the likely accuracy of the B2GP-PLYP-D3 calculations.</p>
      <p id="d1e3448">The TF thresholds of the enals are significantly higher than those of the
saturated aldehydes at <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">340</mml:mn></mml:mrow></mml:math></inline-formula>–350 kJ/mol. This increase is larger than the
<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol increase seen in decarbonylation thresholds for breaking a
delocalised C–C bond and arises because of bond angle strain
in the five-centre TF TSs of the <inline-formula><mml:math id="M201" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M202" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated species. As shown in
Fig. S4, the C–C–C backbone angles in the TSs
deviate significantly from their equilibrium values, and the energetic penalty
is increased, relative to saturated species, because of the rigidity of the
delocalised C–C bonds.</p>
      <p id="d1e3485">The predicted <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> TF thresholds of the two <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls, glyoxal and
methylglyoxal, differ markedly by 83 kJ/mol. This arises because their TS
structures and reaction products are qualitatively different (Fig. S4j and
k). Methylglyoxal has a five-centre TS that involves strain across the O=C–C=O
backbone and also forms a relatively high-energy ketene product. Glyoxal, in
contrast, forms exothermically favourable products: H<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and two CO
molecules, resulting in a significantly lower <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> TF threshold.</p>
      <p id="d1e3526">Glycolaldehyde is an atypical carbonyl and has the lowest energy TF pathway,
calculated at 229 kJ/mol. Here, the H<inline-formula><mml:math id="M207" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss channel arises from
the combination of the formyl hydrogen and the OH hydrogen, which is more
labile than the backbone C–H hydrogens. The C–OH angle in the
glycolaldehyde TS also involves minimal ring strain (Fig. S4l). This pathway
has not been previously proposed for glycolaldehyde
<xref ref-type="bibr" rid="bib1.bibx118 bib1.bibx10 bib1.bibx130 bib1.bibx26 bib1.bibx104" id="paren.60"/> and occurs via a
five-centre TS, which is lower in energy than the four-centre TF TS for H<inline-formula><mml:math id="M208" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
formation from the formyl and a <inline-formula><mml:math id="M209" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> CH<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> hydrogen. Indeed it is the
lowest energy dissociation pathway we have found in glycolaldehyde.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{Norrish type III $\beta$-H transfer reaction
(NTIII)}?><title>Norrish type III <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H transfer reaction
(NTIII)</title>
      <p id="d1e3582">Alongside the Norrish type I and II reactions, the lesser known “Norrish type
III” reaction (NTIII) was proposed by <xref ref-type="bibr" rid="bib1.bibx128" id="text.61"/> to explain the
observation of acetaldehyde and propene as products of 3-methylbutan-2-one
photoexcitation. NTIII involves a four-centre TS, with
<inline-formula><mml:math id="M212" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogen transfer from the backbone to the carbonyl moiety leading to
the formation of an aldehyde and an alkene; for example,
RCH<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>CH<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>(C=O)R<inline-formula><mml:math id="M215" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M216" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> R–CH=CH<inline-formula><mml:math id="M217" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> H(C=O)R<inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>.
Experimentally, NTIII has been found to be a minor channel <xref ref-type="bibr" rid="bib1.bibx128" id="paren.62"/>.
However, since the alkene product from NTIII can also be formed in other <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reactions (TF, H<inline-formula><mml:math id="M221" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss), NTIII needs to be well understood to
disambiguate these mechanisms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3681">Zero-point
vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Norrish type III
thresholds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f06.png"/>

        </fig>

      <p id="d1e3701">Figure <xref ref-type="fig" rid="Ch1.F6"/> shows our calculated NTIII thresholds. These vary across
a large energy range from 310 to 417 kJ/mol.
In glyoxal, methylglyoxal and methyl vinyl ketone the NTIII thresholds are at
or above the actinic maximum energy of 400 kJ/mol. The NTIII thresholds of the
other <inline-formula><mml:math id="M223" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M224" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls lie between 380 and 400 kJ/mol.
The high thresholds arise from resonance stabilisation of the breaking
C–C bond and suggest NTIII is unlikely to be important in these species under
tropospheric conditions.</p>
      <?pagebreak page936?><p id="d1e3721">The saturated carbonyls in Fig. <xref ref-type="fig" rid="Ch1.F6"/> have NTIII thresholds in the
range of 310–355 kJ/mol. The NTIII thresholds decrease significantly when the
main alkyl chain is lengthened past the <inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> position: there is a 38 kJ/mol
lowering of the NTIII threshold from butanone to pentan-2-one, and a 21 kJ/mol
lowering from propanal to butanal.
The effect of alkyl chain lengthening beyond the <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> position is also
present in <inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls, although it is smaller, with
only a 7 kJ/mol decrease in threshold from acrolein to crotonaldehyde. The
NTIII threshold, however, is unchanged with further alkyl chain lengthening.
For example, butanal and pentanal have almost the same NTIII threshold (311 and
310 kJ/mol, respectively), and there is only a 4 kJ/mol difference in threshold
between butanone and pentan-3-one. This suggests chain lengthening past the
<inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> position will not result in any change to the reaction threshold. The
NTIII threshold also appears to be independent of the “spectator” alkyl
substituent in the ketones.</p>
      <p id="d1e3762">Branching at the <inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position decreases the NTIII threshold, though to a
lesser extent than the addition of a <inline-formula><mml:math id="M231" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>-carbon. The decreases are as follows: 2 kJ/mol
from propanal to 2-methylpropanal, 7 kJ/mol from 2-methylpropanal to
2,2-dimethylpropanal, 15 kJ/mol from acrolein to methacrolein, and 23 kJ/mol
ketone to methyl isopropenyl ketone. These decreases in threshold energy exceed
the expected uncertainty of our B2GP-PLYP-D3 calculations, except for the
smallest 2 kJ/mol energy difference. The trends in
NTIII threshold with both alkyl chain length and branching can be rationalised
in terms of the alkene product formed: the relative stability of the alkene
increases with increasing substitution about the double bond
<xref ref-type="bibr" rid="bib1.bibx121" id="paren.63"/>.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><?xmltex \opttitle{Concerted four-centre H${}_{2}$~loss}?><title>Concerted four-centre H<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss</title>
      <p id="d1e3800">H<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can be formed on <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> via a four-centre TS where adjacent hydrogen
atoms form an H–H bond and dissociate as H<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, leaving an unsaturated
carbonyl product. In aldehydes these adjacent hydrogens can be the formyl and
<inline-formula><mml:math id="M236" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogens, but as the alkyl chain lengthens possibilities include
hydrogens in the <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">γ</mml:mi></mml:mrow></mml:math></inline-formula>, etc. positions. These
H<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss mechanisms can be distinguished by the point of unsaturation in
the co-product.</p>
      <p id="d1e3873">The <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction thresholds for the possible H<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss channels are
given in Table <xref ref-type="table" rid="Ch1.T1"/> and are shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>,
where solid lines denote H<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the formyl and <inline-formula><mml:math id="M243" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> positions,
dashed lines H<inline-formula><mml:math id="M244" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the <inline-formula><mml:math id="M245" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> positions, and
dot-dashed lines H<inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the <inline-formula><mml:math id="M248" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> positions. Note
that the <inline-formula><mml:math id="M250" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis of Fig. <xref ref-type="fig" rid="Ch1.F7"/> is broken into three
energy sections to indicate energetic separation between the different
mechanisms.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3975">Zero-point
vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> H<inline-formula><mml:math id="M252" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss
thresholds. Solid lines: formyl H <inline-formula><mml:math id="M253" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-H; dashed
lines: <inline-formula><mml:math id="M255" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-H <inline-formula><mml:math id="M256" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H; dot-dashed lines: <inline-formula><mml:math id="M258" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H <inline-formula><mml:math id="M259" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M260" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>-H.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f07.png"/>

        </fig>

      <p id="d1e4062">Figure <xref ref-type="fig" rid="Ch1.F7"/> indicates that thresholds for H<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the
<inline-formula><mml:math id="M262" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M263" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> positions are higher than from the formyl and <inline-formula><mml:math id="M264" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>
positions, with H<inline-formula><mml:math id="M265" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss thresholds from the <inline-formula><mml:math id="M266" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M267" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>
positions higher still. For a given carbonyl, the highest H<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss
threshold is predicted for removal of a hydrogen from the terminal carbon. Like
the NTIII reaction, the TSs for four-centre H<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss are “late”, and the
threshold energies are related to the stability of the forming alkene product.
Increasing substitution around the double bond increases alkene
stability <xref ref-type="bibr" rid="bib1.bibx121" id="paren.64"/>, and so products with a terminal C=C bond are
comparatively less stable than products from H<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss at other sites.
For example, there is an approximately 20 kJ/mol decrease in threshold for
formyl <inline-formula><mml:math id="M271" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M272" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M273" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from acetaldehyde to propanal. Like NTIII, there
is little effect on the formyl and <inline-formula><mml:math id="M274" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>
H<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss threshold upon further chain extension. For example, the formyl and
<inline-formula><mml:math id="M276" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss thresholds for propanal, butanal and pentanal are all
<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">315</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol. Branching at the <inline-formula><mml:math id="M279" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position also has little effect on
the formyl and <inline-formula><mml:math id="M280" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M281" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss threshold (cf. propanal and
2-methylpropanal). Similar trends are seen for H<inline-formula><mml:math id="M282" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the
<inline-formula><mml:math id="M283" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M284" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M285" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M286" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> positions.</p>
      <?pagebreak page937?><p id="d1e4279">The results in Table <xref ref-type="table" rid="Ch1.T1"/> and Fig. <xref ref-type="fig" rid="Ch1.F7"/>
reinforce, for multiple carbonyl species, that only H<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the
formyl and <inline-formula><mml:math id="M288" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> positions is energetically accessible in the actinic energy
range. Indeed, the  four-centre H<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss channel in acetaldehyde has
recently been observed experimentally under tropospherically relevant
conditions <xref ref-type="bibr" rid="bib1.bibx43" id="paren.65"/>. In the absence of a formyl hydrogen, none of
the ketone H<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss channels are accessible in the troposphere. Similarly,
H<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss is not accessible in species lacking an <inline-formula><mml:math id="M292" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogen, like
2,2-dimethylbutanal and methacrolein.</p>
      <p id="d1e4340">The thresholds for H<inline-formula><mml:math id="M293" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the formyl and <inline-formula><mml:math id="M294" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> positions in
acrolein and crotonaldehyde are also in the actinic range at 373 and 386 kJ/mol, respectively. These thresholds are significantly higher than those for
the saturated aldehydes because of the high energy of the product propadienone
and 1,2-butadienone species, and they are close to the maximum actinic energy,
suggesting <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> H<inline-formula><mml:math id="M296" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss is unlikely to be important in
<inline-formula><mml:math id="M297" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M298" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated aldehydes.</p>
      <p id="d1e4394">Glycolaldehyde is calculated to have the lowest H<inline-formula><mml:math id="M299" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss threshold, 292 kJ/mol, for loss of the formyl and <inline-formula><mml:math id="M300" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogens. This can be rationalised
in terms of the electron-withdrawing nature of the OH stabilising the
four-centre TS and the hydroxyketene product. Glycolaldehdye is also the only
carbonyl with an energetically accessible <inline-formula><mml:math id="M301" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-H-loss channel. Loss
of the OH and <inline-formula><mml:math id="M302" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogen forms glyoxal and H<inline-formula><mml:math id="M303" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with a 384 kJ/mol threshold, close to the actinic maximum energy.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Alkane/alkene elimination (AE)</title>
      <p id="d1e4444">In ketones, migration of an <inline-formula><mml:math id="M304" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-H atom to the “other” <inline-formula><mml:math id="M305" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-carbon
via a four-centre TS can form an alkane and a ketene. For example, acetone can
dissociate to methane and ketene. In methyl vinyl ketone, the unsaturation
leads to alkene elimination and formation of ethene and ketene.</p>
      <p id="d1e4461">The <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction thresholds for the lowest energy AE channels are
given in Table <xref ref-type="table" rid="Ch1.T1"/> and are shown in Fig. <xref ref-type="fig" rid="Ch1.F8"/>. In
asymmetric ketones two AE channels are possible, and these are described in
Sect. S6 of the Supplement.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e4481">Zero-point
vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> alkane/alkene
elimination thresholds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f08.png"/>

        </fig>

      <p id="d1e4502">Figure <xref ref-type="fig" rid="Ch1.F8"/> shows our calculated AE thresholds vary from 329 to 363 kJ/mol, with all accessible under tropospheric conditions. The TSs for AE are
shown in Fig. S6.</p>
      <p id="d1e4507">In linear unsaturated ketones, the AE TSs are “late”, with C–C breaking bond
lengths over 1.8 Å. Naïvely, we would therefore infer AE thresholds for
these species will reflect the relative stability of the forming products.
From tabulated 0 K enthalpies of formation
<xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx93" id="paren.66"/>, although methylketene is 9 kJ/mol more stable than
ketene, butanone is 17 kJ/mol more stable than acetone. This would imply a
lower AE threshold in acetone. The AE threshold in butanone, however, is
calculated to be 12 kJ/mol lower than that for acetone. The TS for AE in
butanone (Fig. S6b) is marginally earlier than in acetone (Fig. S6a),
suggesting electronic effects are responsible for the lower threshold.
Only a 4 kJ/mol decrease in threshold, to 347 kJ/mol, is
seen for production of ethylketene in pentan-2-one, indicating further chain
lengthening has little effect. This threshold is the same as that calculated
for pentan-3-one forming ethane and methylketene; that is, there is a small
reduction in threshold energy on formation of a larger alkane. This is also
seen in the alternate AE pathways (Sect. S6).
As shown in Fig. S6, in linear unsaturated ketones, thresholds for producing
ketene (via the alternate AE channels) are <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">360</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol, and thresholds for
producing methylketene are <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">350</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol. We expect these thresholds to be
generalisable to larger linear unsaturated ketones.</p>
      <p id="d1e4533">The lowest AE thresholds are for methyl vinyl ketone and methyl isopropenyl
ketone (MIPK), both of which yield ketene. The AE TSs in these molecules are
much “tighter” than in the linear unsaturated ketones (Fig. S6). Here
there is resonance stabilisation of the saddle points, leading to thresholds of
329 and 334 kJ/mol, respectively.</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Keto–enol tautomerisation</title>
      <p id="d1e4544">Carbonyls can exist in two tautomeric forms: a keto form
(encompassing, here, both ketones and aldehydes) and an enol
form in which an H atom has transferred to the carbonyl oxygen, forming an
OH substituent and a point of unsaturation. Keto–enol
tautomerisation is known to occur as a dynamic equilibrium in <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> carbonyls
in aqueous solution at room temperature, although the keto tautomer is
thermodynamically favoured <xref ref-type="bibr" rid="bib1.bibx59" id="paren.67"/>.
Keto–enol tautomerisation has been observed in gas-phase photolysis
experiments on acetaldehyde <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx100" id="paren.68"/>, and the authors suggest
it may occur in many other carbonyls under tropospheric conditions. In solution
or at higher gas pressures, keto–enol isomerisation is also readily catalysed
by species containing acidic hydrogens – including water, alcohols, and
organic and inorganic acids.</p>
      <?pagebreak page938?><p id="d1e4564">The lowest energy calculated keto–enol tautomerisation thresholds for the
relevant carbonyls in the test set are given in Table <xref ref-type="table" rid="Ch1.T1"/> and
shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>. A keto–enol TS involving an
<inline-formula><mml:math id="M311" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogen, that is, a [1,2]-H atom shift, was found in all of these
species. In crotonaldehyde, however, the lowest energy threshold, 133 kJ/mol,
was for a [1,5]-H atom shift involving a <inline-formula><mml:math id="M312" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>-hydrogen, and this is less
than half the 294 kJ/mol threshold we predict for a [1,2]-H atom shift. This
mechanism is analogous to the [1,5]-H atom shift in the Norrish type II
reaction. Here, however, because it occurs in an enal, conjugation prevents the
bond between the <inline-formula><mml:math id="M313" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>- and <inline-formula><mml:math id="M314" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-carbons from breaking, and, instead,
but-1,3-diene-1-ol is formed.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4602">Zero-point vibrational-energy-corrected B2GP-PLYP-D3/def2-TZVP
<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> keto–enol tautomerisation thresholds.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f09.png"/>

        </fig>

      <p id="d1e4623">There may be multiple possible [1,2]-H atom shift keto–enol tautomerisation
pathways for a given carbonyl. These correspond to the formation of geometric
isomers (e.g. <italic>cis</italic>- or <italic>trans</italic>-enols) or, in asymmetric ketones,
tautomerisation involving hydrogens from either alkyl substituent.
These additional keto–enol tautomerisation thresholds are reported in Table S7,
and all optimised saddle point geometries are shown in Fig. S7 of the
Supplement. As described in more detail in Sect. S7, due to
steric factors, thresholds for tautomerisation to <italic>trans</italic>-enols are
typically <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol lower than those to the corresponding
<italic>cis</italic>-enol.</p>
      <p id="d1e4648">As shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>, the keto–enol tautomerisation
thresholds for linear aldehydes lie in a narrow energy range (278–281 kJ/mol),
indicating chain extension has no effect on threshold as long as the bulky
alkyl group can be oriented <italic>trans</italic> to the enol OH group. This is
not the case for the <inline-formula><mml:math id="M317" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-branched 2-methylpropanal, and the steric penalty
leads to the highest keto–enol tautomerisation threshold calculated here (296 kJ/mol).</p>
      <p id="d1e4663">The tautomerisation thresholds for ketones are also in a narrow range
(270–276 kJ/mol), <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol lower than the corresponding aldehydes. As
shown in Table S7 this extends to the alternate pathway in asymmetrically
substituted ketones, which have thresholds for the formation of the alternate
<italic>trans</italic>-enol within <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol of those shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>.</p>
      <p id="d1e4691">In <inline-formula><mml:math id="M320" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M321" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls, the keto–enol tautomerisation
thresholds are low when tautomerisation involves an H atom from an
aliphatic group, for example, the CH<inline-formula><mml:math id="M322" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> group in methyl vinyl ketone and
crotonaldehyde. Tautomerisation thresholds involving olefinic H atoms,
however, are significantly higher, for example 292 kJ/mol in acrolein,
reflecting the relatively unstable propadienol product.</p>
      <p id="d1e4717">Glycolaldehyde has an –OH electron-withdrawing functional group. For this
molecule the tautomerisation threshold is predicted to be lowered by 8 kJ/mol
compared to acetaldehyde; that is, the electron-withdrawing group stabilises
the TS to the forming enol.</p>
      <p id="d1e4720">Notably, all calculated keto–enol tautomerisation thresholds are significantly
below the maximum actinic photon energy. We expect this pathway to be
energetically accessible in all carbonyls with an <inline-formula><mml:math id="M323" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogen and
appropriate unsaturated species with a <inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>-hydrogen.
Moreover, all linear aldehydes and ketones are calculated to have keto–enol
tautomerisation thresholds close to, or below, that of acetaldehyde. Given the
experimental observation of keto–enol tautomerisation in
acetaldehyde <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx100" id="paren.69"/> and in acetone and methyl vinyl ketone
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.70"/>, this tautomerisation may be important under tropospheric
conditions in these species.</p>
</sec>
<sec id="Ch1.S3.SS7">
  <label>3.7</label><title>Enal–ketene tautomerisation</title>
      <p id="d1e4752">There has been recent interest in the formation of ketenes as atypical and
relatively uncharacterised products of carbonyl
photolysis <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx110" id="paren.71"/>. As seen above, the formyl <inline-formula><mml:math id="M325" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M326" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M327" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss mechanism forms ketenes in aldehydes, and the AE mechanism
forms ketenes in ketones. In enals there is also an <inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tautomerisation
mechanism involving a [1,3]-H shift of the formyl hydrogen to the
<inline-formula><mml:math id="M329" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-carbon that can form ketenes. First order saddle
points have been optimised for enal–ketene tautomerisation in acrolein,
crotonaldehyde and methacrolein. These are shown
in Fig. <xref ref-type="fig" rid="Ch1.F10"/>, together with the calculated
B2GP-PLYP-D3 threshold energies. The enal–ketene tautomerisation threshold in
methacrolein, 285 kJ/mol, is <inline-formula><mml:math id="M330" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kJ/mol lower in energy than the 299 kJ/mol G3X-K//M06-2X/6-31G(2df,p) threshold previously calculated by
<xref ref-type="bibr" rid="bib1.bibx105" id="text.72"/>. This difference is consistent with the variation between
B2GP-PLYP-D3 and G3X-K thresholds for other reactions
considered in methacrolein and methyl vinyl ketone (see Supplement)
and may be due to the treatment of dispersion in the saddle point geometries.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e4814">Optimised B2GP-PLYP-D3/def2-TZVP <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> TSs and zero-point
vibrational-energy-corrected threshold energies for enal–ketene
tautomerisation, as shown. Key structural parameters in angstroms (Å) and
degrees.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/929/2022/acp-22-929-2022-f10.png"/>

        </fig>

      <?pagebreak page939?><p id="d1e4834">Figure <xref ref-type="fig" rid="Ch1.F10"/> shows that the key structural
parameters describing the TSs for <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enal–ketene tautomerisation are almost
identical for the three enals in the test set. This indicates that
<inline-formula><mml:math id="M333" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-branching and main alkyl chain extension have a negligible effect on the
TS geometry and little effect on the threshold energy. The predicted
enal–ketene tautomerisation thresholds are all well below the maximum actinic
energy of 400 kJ/mol and suggest that, in appropriate species, enal–ketene
tautomerisation  may be competitive in the troposphere.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><?xmltex \opttitle{Competition between carbonyl $S_{0}$ reactions}?><title>Competition between carbonyl <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions</title>
      <p id="d1e4878">Our calculated <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> thresholds can be compared to relevant experimental
results to validate the calculations, to generalise our results and to predict
the most important <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions for each class of carbonyl. Indeed, the
seven reaction thresholds depicted for butanal in Fig. S1 are illustrative of
the energetic relevance of these channels in other saturated aldehydes.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Saturated aldehydes</title>
      <p id="d1e4910">For saturated aldehydes, the lowest energy dissociation pathway on <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
concerted TF with a threshold of <inline-formula><mml:math id="M338" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>300 kJ/mol. At wavelengths and internal
energies where excited state chemistry is energetically inaccessible, TF may
therefore be a significant photo-induced mechanism. Triple fragmentation has
been observed as a primary photolysis mechanism in propanal and
2-methylpropanal, with QYs of 4 % and 9 %, respectively, at 1 atm pressure of
N<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx62" id="paren.73"/>. On the basis of kinetic modelling and in the
absence of excited state primary pathways, both sets of TF products were found
to be consistent with <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction. The increased QY for 2-methylpropanal
over propanal was attributed to increased reaction path degeneracy rather than
a lower reaction threshold. This suggests TF QYs will be higher in branched
aldehydes in proportion to the ratio of <inline-formula><mml:math id="M341" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogens. For example, we
predict 2,2-dimethylpropanal, with nine <inline-formula><mml:math id="M342" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogens, to have a higher TF
QY than 2-methylpropanal, with six <inline-formula><mml:math id="M343" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogens, and propanal, with three
<inline-formula><mml:math id="M344" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogens.</p>
      <p id="d1e4983">The next lowest energy <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation pathway is
either H<inline-formula><mml:math id="M346" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss from the formyl and <inline-formula><mml:math id="M347" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-H atoms in the smaller
species (acetaldehyde, propanal, methylpropanal) or NTIII in the larger species
(butanal, pentanal, 2,2-dimethylpropanal). For formyl <inline-formula><mml:math id="M348" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss,
acetaldehyde has three <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogens and the highest threshold at 337 kJ/mol. This channel has been observed experimentally, with a QY of <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %
at 305 nm (392 kJ/mol) and 1 atm of N<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and is demonstrated to be a primary
process by single molecule velocity map ion imaging (VMI) experiments
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.74"/>. Although classical trajectory simulations initiated at
the H<inline-formula><mml:math id="M354" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss TS could not reproduce the VMI product state distributions, they
are consistent with an <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> roaming mechanism <xref ref-type="bibr" rid="bib1.bibx43" id="paren.75"/>. The
equivalent H<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss thresholds for the other saturated aldehydes, which have
two rather than three <inline-formula><mml:math id="M357" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogen atoms, are significantly lower at
<inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">315</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol. Thus we expect H<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss reactions to be present in other
saturated aldehydes with similar or slightly higher QYs than in acetaldehyde.
Indeed, under tropospheric conditions, methylketene and dimethylketene have
been observed as minor products following the photolysis of propanal and
2-methylpropanal, respectively, with kinetic modelling consistent with <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reaction <xref ref-type="bibr" rid="bib1.bibx62" id="paren.76"/>.
In saturated aldehydes, the NTIII thresholds are similar to those for
H<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss. Experimental QYs for this pathway, however, have not been
reported. The NTIII mechanism shares common products with TF (alkene) and
decarbonylation (CO), which may complicate its experimental identification. Our
calculations suggest NTIII is energetically competitive, and it may be
important in interpreting photolysis QYs of saturated aldehydes.</p>
      <p id="d1e5149">With the exception of formaldehyde, the next lowest energy <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation
threshold is for ground state NTI<inline-formula><mml:math id="M363" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, that is, <inline-formula><mml:math id="M364" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-bond cleavage
to the alkyl substituent. This reaction is typically assumed to occur only on
<inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, but the <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction has been identified in
formaldehyde <xref ref-type="bibr" rid="bib1.bibx87" id="paren.77"/>, acetaldehyde <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx2" id="paren.78"/>
and acetone <xref ref-type="bibr" rid="bib1.bibx67" id="paren.79"/>. Because it is barrierless we expect <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI<inline-formula><mml:math id="M368" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
to dominate as internal energy increases above its threshold. Thus, we expect
to observe NTI<inline-formula><mml:math id="M369" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> dissociation products at energies well below the <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
threshold.</p>
      <?pagebreak page940?><p id="d1e5246">Decarbonylation (CO loss) has the highest calculated <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation
thresholds for all the saturated carbonyls in the test set, bar formaldehyde,
for which the decarbonylation threshold is slightly below that of NTI. All
decarbonylation thresholds are predicted to be 340–350 kJ/mol, and experimental
CO-loss QYs are correspondingly low: in the actinic energy range, the
atmospheric pressure decarbonylation QY for acetaldehyde is <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> %
<xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx119" id="paren.80"/> and <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> % for 2-methylbutanal
<xref ref-type="bibr" rid="bib1.bibx39" id="paren.81"/>. Although two <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decarbonylation mechanisms are known,
roaming reactions and reaction via a TS, there is no known excited state
decarbonylation mechanism. Given the relatively high threshold energies, we
predict other <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pathways will be favoured in larger saturated aldehydes
over decarbonylation, which will be at most a minor channel.</p>
      <p id="d1e5310">Our calculations predict keto–enol tautomerisation to be the lowest energy
pathway on <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for all saturated aldehydes, lying about 20 kJ/mol below TF.
Unlike dissociation, however, tautomerisation is reversible.  Collisional
cooling into the enol well therefore competes with tautomerisation back to the
parent aldehyde <xref ref-type="bibr" rid="bib1.bibx4" id="paren.82"/>. Dissociation of the aldehyde reduces its
concentration, and hence, while the rate coefficient is constant, the rate of
enol formation is reduced.
Although experimentally observed in ketones, the only aldehyde for which
photo-initiated keto–enol tautomerisation has been observed is acetaldehyde
<xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx100" id="paren.83"/>, in which TF is not available, and master equation
modelling confirms that it is an <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> process <xref ref-type="bibr" rid="bib1.bibx100" id="paren.84"/>. Whilst it
is likely keto–enol tautomerisation is occurring in other saturated aldehydes,
QYs are likely small, and the reactivity of the enol will make characterisation
difficult.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Saturated ketones</title>
      <p id="d1e5352">Following excitation by an actinic photon, the relevant <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> chemistry of
ketones is much simpler than that of aldehydes. No TS for direct
decarbonylation was found, and the absence of a formyl H atom in ketones
removes the TF and formyl <inline-formula><mml:math id="M379" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss pathways.
The only <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation pathways in ketones are NTIII, AE and NTI. The
thresholds for AE and NTI are similar in the ketones considered at <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">340</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol. Given NTI is barrierless, it is likely to dominate over AE. We
therefore expect NTI to be the dominant dissociation mechanism in acetone,
butanone and pentan-2-one, where it has a lower threshold than NTIII, although
NTIII may be important in pentan-2-one and in larger saturated
ketones, where there is alkyl chain extension past the <inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogen
involved in the reaction. For example, the production of acetaldehyde from
3-methylbutan-2-one is one of the few experimental examples of the – assumed
<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> – NTIII mechanism in the literature <xref ref-type="bibr" rid="bib1.bibx128" id="paren.85"/>.</p>
      <p id="d1e5432">The keto–enol tautomerisation thresholds for saturated ketones are slightly
lower than in saturated aldehydes. This, combined with the absence of low-energy <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation pathways and the experimental observation of
keto–enol tautomerisation in acetone under thermal conditions, where reaction
must occur on <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx25" id="paren.86"/>, suggests photo-initiated tautomerisation
may be important in ketones.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{$\alpha$,$\beta$-unsaturated carbonyls}?><title><inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M389" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls</title>
      <p id="d1e5483">In general, because of resonance stabilisation of the bond between <inline-formula><mml:math id="M390" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-carbons
and formyl carbons, we calculate higher <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> thresholds in
<inline-formula><mml:math id="M392" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M393" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated
carbonyls than in equivalent saturated carbonyls. However, excited state NTI<inline-formula><mml:math id="M394" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>
thresholds are also elevated, and all excited state NTI thresholds
are close to, or above, the maximum available actinic energy
<xref ref-type="bibr" rid="bib1.bibx91" id="paren.87"/>.
Thus any photolysis must occur on <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Further, unlike many other carbonyls,
the electronic structure of the <inline-formula><mml:math id="M396" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M397" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls promotes
rapid electronic relaxation from <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx97 bib1.bibx18" id="paren.88"/>, suggesting high <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> internal energies
and therefore a relatively high probability of <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction.</p>
      <p id="d1e5602">Triple fragmentation is the lowest energy <inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation pathway for the
unsaturated aldehydes in the test set. The TF thresholds are <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol
higher than in saturated aldehydes and are slightly lower than the
<inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI<inline-formula><mml:math id="M405" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> asymptotic energies and decarbonylation thresholds. The
other possible <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation reactions (H<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss, NTIII and <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
NTI<inline-formula><mml:math id="M409" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>) have thresholds <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">370</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol and are unlikely to be significant under
tropospheric conditions.</p>
      <p id="d1e5693">Unsaturated ketones, like their saturated counterparts, have fewer <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dissociation pathways, with only NTIII, AE, NTI<inline-formula><mml:math id="M412" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and NTI<inline-formula><mml:math id="M413" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> possible. In
methyl vinyl ketone, AE has the lowest threshold at 329 kJ/mol, 9 kJ/mol lower
than the NTI<inline-formula><mml:math id="M414" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> threshold. NTI<inline-formula><mml:math id="M415" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> dissociation, however, is barrierless.
The 334 kJ/mol threshold for AE is the lowest energy <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pathway in methyl
isopropenyl ketone, 10 kJ/mol lower than the threshold for NTI<inline-formula><mml:math id="M417" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> dissociation.
Although NTI<inline-formula><mml:math id="M418" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> will dominate at higher energies, there may be a small energy
window where AE may be important, although it has not been experimentally
observed. Similarly, there may be an energy window for AE in methyl vinyl
ketone. The other possible dissociations in methyl vinyl ketone,
NTI<inline-formula><mml:math id="M419" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and NTIII, have thresholds <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">375</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol and are unlikely to be
important under tropospheric conditions.</p>
      <p id="d1e5779">Given the lack of low-energy ground or excited state dissociation pathways, we
expect photolysis QYs for <inline-formula><mml:math id="M421" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M422" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls to be small.
Indeed the total photolysis QY of methacrolein is around 1 % at atmospheric
pressure <xref ref-type="bibr" rid="bib1.bibx88" id="paren.89"/>.
Photo-induced keto–enol and enal–ketene tautomerisations, however, have
thresholds under 300 kJ/mol, with crotonaldehyde having one of the lowest energy
keto–enol tautomerisation thresholds of 133 kJ/mol. Tautomerisation has been
observed in methyl vinyl ketone under thermal conditions <xref ref-type="bibr" rid="bib1.bibx25" id="paren.90"/>, and
<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> tautomerisation may therefore be competitive for appropriate
<inline-formula><mml:math id="M424" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M425" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated species <xref ref-type="bibr" rid="bib1.bibx105" id="paren.91"/>.
The higher energy enol and ketene isomers may be collisionally stabilised under
tropospheric conditions, although they are significantly more reactive and will
be difficult to experimentally isolate.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Other carbonyls</title>
      <?pagebreak page941?><p id="d1e5839">The <inline-formula><mml:math id="M426" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls have low-energy <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">π</mml:mi><mml:mo>+</mml:mo><mml:mo>*</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> excited
states <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx29" id="paren.92"/>, red-shifted absorption spectra compared
to
other carbonyls (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) and weakened <inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-C–C
bonds due to the electron-withdrawing nature of the two C=O
chromophores.
As a result, the excited state NTI<inline-formula><mml:math id="M429" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> thresholds in dicarbonyls are lowered to
<inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">390</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol on <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol on <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx91" id="paren.93"/>,
with both accessible in the troposphere. The <inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> asymptotic energies for
NTI<inline-formula><mml:math id="M435" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> are slightly lower than the triplet thresholds, giving an energetic
window for <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radical dissociation. Indeed, in glyoxal, two distinct,
wavelength-dependent mechanisms of HCO<inline-formula><mml:math id="M437" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup></mml:math></inline-formula> formation have been observed
and attributed to dissociation on two electronic
states <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx56 bib1.bibx96" id="paren.94"/>. Decarbonylation to form H<inline-formula><mml:math id="M438" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>CO <inline-formula><mml:math id="M439" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> CO and TF to form H<inline-formula><mml:math id="M440" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <inline-formula><mml:math id="M441" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 2 CO have the lowest energy thresholds in glyoxal, at
225 and 247 kJ/mol, respectively. Indeed, CO is known to form following
irradiation of glyoxal at energies below 272 kJ/mol
<xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx49 bib1.bibx16 bib1.bibx28" id="paren.95"/>. Decarbonylation in
methylglyoxal also has a low threshold energy, 235 kJ/mol, and we expect it to
be the dominant <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation mechanism.
In diacetyl, without a formyl hydrogen, NTI<inline-formula><mml:math id="M443" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> has the lowest dissociation
threshold. We therefore predict, for larger <inline-formula><mml:math id="M444" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyls, there will be
an actinic window from <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> to 266 kJ/mol with no accessible dissociation
pathways. In this case, collisional cooling and thermalisation to the parent
carbonyl are the likely fate.</p>
      <p id="d1e6041">The remaining carbonyl in the test set is glycolaldehyde, with an actinic range
between 352 and 400 kJ/mol <xref ref-type="bibr" rid="bib1.bibx10" id="paren.96"/>. The NTI<inline-formula><mml:math id="M446" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> thresholds on <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for glycolaldehyde are 379 and 334 kJ/mol,
respectively <xref ref-type="bibr" rid="bib1.bibx91" id="paren.97"/>, and this channel dominates at
all actinic energies <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx130" id="paren.98"/>, with cleavage of the C–OH
bond to form <inline-formula><mml:math id="M449" display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msup></mml:math></inline-formula>OH also reported <xref ref-type="bibr" rid="bib1.bibx130" id="paren.99"/>. Thus,
despite having the lowest calculated TF and H<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss
thresholds, these reactions have not been experimentally
observed in glycolaldehyde.
Keto–enol tautomerisation to 1,2-ethenediol, for which we calculate a
threshold
of 272 kJ/mol, has been postulated as an atmospheric route to the formation of
HO<inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="normal" class="Radical">⚫</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> and formic acid <xref ref-type="bibr" rid="bib1.bibx104" id="paren.100"/>, although it has not been
experimentally observed.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><?xmltex \opttitle{Tropospheric relevance of $S_{0}$ reactions}?><title>Tropospheric relevance of <inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions</title>
      <p id="d1e6141">A few guiding principles can be used to determine which of the possible <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
pathways may be tropospherically relevant in a given carbonyl following
absorption of an actinic photon.
<list list-type="bullet"><list-item>
      <p id="d1e6157">Reactions with thresholds greater than the actinic maximum
energy of
400 kJ/mol are inaccessible at tropospheric photon energies. This rules out
most <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions, with the exceptions of NTI<inline-formula><mml:math id="M455" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> dissociation in
glycolaldehyde and  NTI<inline-formula><mml:math id="M456" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> in methyl vinyl ketone and methyl isopropenyl
ketone <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx91" id="paren.101"/>. <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI dissociations <italic>are</italic>
accessible. <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI<inline-formula><mml:math id="M459" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> thresholds are close to the maximum available
energy of 400 kJ/mol and have negligible contributions to actinic
photolysis <xref ref-type="bibr" rid="bib1.bibx131" id="paren.102"/>, <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI<inline-formula><mml:math id="M461" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> thresholds are generally
lower <xref ref-type="bibr" rid="bib1.bibx91" id="paren.103"/>, and this reaction dominates the photolysis QY of
small carbonyls <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx131" id="paren.104"/>. In larger carbonyls (alkyl
chain lengths <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>), excited state NTII intramolecular <inline-formula><mml:math id="M463" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>-H
abstraction is also accessible <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx116 bib1.bibx131" id="paren.105"/>.</p></list-item><list-item>
      <p id="d1e6270">For photon energies above their thresholds, <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
reactions are fast
and dominate photolysis <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx131" id="paren.106"/>. If the photon
energy
is near threshold, non-radiative transitions and <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction may be
competitive with excited state reaction. For photon energies (or
collisional cooling on <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) below any excited state threshold,
any
photolysis must occur on <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. There is significant overlap of the
absorption spectrum of most carbonyls with these lower energy photons
(Fig. <xref ref-type="fig" rid="Ch1.F1"/>), and <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions have been observed in
saturated carbonyls under these
conditions
<xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx2 bib1.bibx4 bib1.bibx113 bib1.bibx87 bib1.bibx110" id="paren.107"/>.</p></list-item><list-item>
      <p id="d1e6349">For an <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> process to be tropospherically important, its
rate must
be competitive with collisional cooling and thermal equilibrium. Only
<inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociations with thresholds <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">350</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol have been
experimentally observed following photoexcitation of aldehydes in 1 atm of
N<inline-formula><mml:math id="M473" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx100 bib1.bibx43" id="paren.108"/>. Because of the efficiency of
collisional cooling, the most important <inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociations are likely to
be those with the lowest thresholds. These include TF if available, NTI in ketones, and selected AE, NTIII and
formyl <inline-formula><mml:math id="M475" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M476" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M477" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss reactions.</p></list-item><list-item>
      <p id="d1e6432">Although <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> keto–enol and enal–ketene
tautomerisations have the
lowest calculated thresholds, these are reversible reactions in which
collisional stabilisation of the tautomer competes with isomerisation back
to the parent carbonyl. Tautomerisation, per se, is
therefore unlikely to be important if there are low-energy <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
dissociation pathways. It will be important in the
absence of such a channel, for example, in
acetaldehyde <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx100" id="paren.109"/>, some ketones and some
<inline-formula><mml:math id="M480" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M481" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls. Tautomerisation may also have an
indirect effect on other <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions. Rapid interconversion of
tautomers
will reduce the effective concentration of the “keto” form and hence reduce
the probability of other possible <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions.</p></list-item></list>
The atmospheric importance of photo-initiated <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions is as
yet unknown; however, <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions are likely to be broadly
accessible under tropospheric conditions for all carbonyls. They
are therefore likely in regions
of the troposphere with high carbonyl concentrations: in highly polluted
environments, where carbonyls are both directly emitted and are oxidation
products of other VOCs, and in unpolluted, forested environments, where
oxidation of BVOCs leads to unsaturated carbonyls like methacrolein and methyl
vinyl ketone <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx74 bib1.bibx21" id="paren.110"/>.
Carbonyls are also important species in the marine boundary layer, although
there are significant discrepancies between observed and modelled
concentrations <xref ref-type="bibr" rid="bib1.bibx115 bib1.bibx3 bib1.bibx1" id="paren.111"/>.</p>
      <p id="d1e6527">Photo-initiated <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions of carbonyls have a number of atmospheric
consequences. The majority of reactions lead to molecular, rather than radical,
products, and this may effect modelled radical quantum yields and therefore
radical propagation reactions. Many of the <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction products are also
“unexpected” and form unsaturated species such as alkenes, alkynes, enols and
ketenes that are more reactive than their parent carbonyl, particularly to
addition reactions, for example, with <inline-formula><mml:math id="M488" display="inline"><mml:msup><mml:mi/><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:math></inline-formula>OH and NO<inline-formula><mml:math id="M489" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> radicals and even
atmospheric H<inline-formula><mml:math id="M490" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx103 bib1.bibx55" id="paren.112"/>. We suggest
ground state reactions should be considered whenever unexpected products are
found in the laboratory photolysis of carbonyls and when products are observed
following photolysis below excited state thresholds.</p>
      <p id="d1e6583">The experimental observations of photo-initiated <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions in carbonyls
described in this paper indicate the parent carbonyl is returning to the ground
electronic state with energies close to the original photon energy. In addition
to dissociation and isomerisation, these vibrationally “hot” <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> molecules
could also react with other atmospheric species: their high internal energy
makes otherwise inaccessible reactions energetically feasible. For example,
internally excited carbonyls could undergo rapid bimolecular reaction with
species such as O<inline-formula><mml:math id="M493" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math id="M494" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:math></inline-formula>OH, NO<inline-formula><mml:math id="M496" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NH<inline-formula><mml:math id="M497" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>. The possibility
of a reaction between O<inline-formula><mml:math id="M498" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and internally hot acetaldehyde, formed following
excitation at 248 nm, considerably above the actinic range, was speculated by
<xref ref-type="bibr" rid="bib1.bibx79" id="text.113"/>, although this was not further investigated or resolved.
Such bimolecular reactions may lead to radical species, and we suggest they may
be responsible for radical QYs observed following photolysis at energies below
the NTI thresholds in formaldehyde
<xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx76 bib1.bibx114" id="paren.114"/>. In this sense, whilst the
<italic>total</italic> experimental radical QY may be correct, the reaction mechanism
is not simply unimolecular dissociation, and radical QYs from bimolecular
reaction will have different pressure dependence to those from unimolecular
dissociation.</p>
      <p id="d1e6673">The molecular products of some of the <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions considered are also
formed with extremely high internal energy. Experimentally, the roaming pathway
in formaldehyde forms H<inline-formula><mml:math id="M500" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> with up to 12 quanta of vibrational excitation
<xref ref-type="bibr" rid="bib1.bibx87" id="paren.115"/>. Similarly, CH<inline-formula><mml:math id="M501" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> from roaming in acetaldehyde is formed
with internal energies up to 95 % of the CH bond dissociation energy
<xref ref-type="bibr" rid="bib1.bibx45" id="paren.116"/>. Although its mechanism has not been elucidated, the
formyl <inline-formula><mml:math id="M502" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M503" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M504" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss channel in acetaldehyde has been shown
experimentally to yield internally hot ketene with energy <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol
<xref ref-type="bibr" rid="bib1.bibx43" id="paren.117"/>. These
“hot” molecular products could also potentially undergo bimolecular reactions
in the atmosphere and contribute toward radical QYs.</p>
      <p id="d1e6748">There are two cases when photo-initiated <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions of carbonyls have
immediate tropospheric implications and missing or underestimated photochemical
sources have previously been speculated. These are the formation of organic
acids and the photolytic generation of molecular hydrogen, H<inline-formula><mml:math id="M507" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>.
In both polluted and pristine regions there are discrepancies between the
predictions of atmospheric models and field measurements of the concentrations
of organic acids <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx127 bib1.bibx75" id="paren.118"/>, although a
recent paper by <xref ref-type="bibr" rid="bib1.bibx32" id="text.119"/> proposes a pathway that may close the gap.
Depending on the type of model and the estimation of soil uptake, there are also
large differences in estimates of global photochemical production of
H<inline-formula><mml:math id="M508" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx89 bib1.bibx86 bib1.bibx123 bib1.bibx30 bib1.bibx126 bib1.bibx84" id="paren.120"/>.
Notably, in “top-down” models, <xref ref-type="bibr" rid="bib1.bibx89" id="text.121"/> and <xref ref-type="bibr" rid="bib1.bibx123" id="text.122"/> propose
increased H<inline-formula><mml:math id="M509" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> production from photolysis of oxidised non-methane VOCs.</p>
      <p id="d1e6805">The tautomerisation of acetaldehyde to vinyl alcohol, the addition of
atmospheric <inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mi class="Radical" mathvariant="normal">⚫</mml:mi></mml:msup></mml:math></inline-formula>OH and subsequent oxidation have been modelled and shown
to produce significant global tropospheric formic acid and were
found to be the dominant mechanism for formic acid formation in the marine
boundary layer <xref ref-type="bibr" rid="bib1.bibx100" id="paren.123"/>. This
one reaction, however, is not sufficient to explain the factor of 2
discrepancy between modelled and measured global organic acid concentrations
<xref ref-type="bibr" rid="bib1.bibx100" id="paren.124"/>. Keto–enol isomerisation is present in almost all
carbonyls we have considered, having amongst the lowest <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction
thresholds.
Similar reactions involving other unsaturated products, for example alkenes and
ketenes <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx55" id="paren.125"/>, will also lead to organic acid
formation. We expect these reactions to be energetically accessible in most
atmospheric carbonyls, and their cumulative effect may address the modelled
deficit <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx105" id="paren.126"/>.
Understanding the mechanism of formation of organic acids in the troposphere
has further application to secondary aerosol formation; the higher oxygen
content of organic acids reduces their volatility, and, as proton donors, they
are believed to be key species in the nucleation and growth of atmospheric
particles <xref ref-type="bibr" rid="bib1.bibx129 bib1.bibx12 bib1.bibx112 bib1.bibx70" id="paren.127"/>.</p>
      <?pagebreak page943?><p id="d1e6844">Molecular hydrogen is an important atmospheric reducing agent and
is an indirect greenhouse gas because it increases the atmospheric lifetime of
CH<inline-formula><mml:math id="M512" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx30" id="paren.128"/>. Current understanding indicates the major
photochemical source of H<inline-formula><mml:math id="M513" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the atmosphere is photolysis of
formaldehyde, which accounts for at least half of the photochemically generated
H<inline-formula><mml:math id="M514" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx44" id="paren.129"/>. The mechanisms generating the other half are
unknown <xref ref-type="bibr" rid="bib1.bibx36" id="paren.130"/>.
The energetically accessible <inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> TF and/or H<inline-formula><mml:math id="M516" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss reactions present in
all aldehydes in our test set, and expected in all atmospheric aldehydes,
provide primary photolysis routes to H<inline-formula><mml:math id="M517" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> that have not previously been
considered. By better understanding the current atmospheric H<inline-formula><mml:math id="M518" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>
budget, we
are better placed to model any future increase in atmospheric H<inline-formula><mml:math id="M519" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, for
example, due to leakage of H<inline-formula><mml:math id="M520" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in any transition to a hydrogen economy.</p>
<sec id="Ch1.S5.SSx1" specific-use="unnumbered">
  <title>Challenges to address</title>
      <p id="d1e6946">To definitively answer the question “how important is the photo-initiated
ground state chemistry of carbonyls in the atmosphere”, a number of challenges
need to be addressed. Experimentally these include observation of primary
products formed on <inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and characterisation of <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> QYs. An understanding of
the competition between collisional cooling and reaction under tropospheric
conditions is also required.</p>
      <p id="d1e6971">Primary photolysis products can be observed in single molecule experiments; for
example, <xref ref-type="bibr" rid="bib1.bibx43" id="text.131"/> recently observed the formyl <inline-formula><mml:math id="M523" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M524" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M525" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss
channel in acetaldehyde using velocity map ion imaging. These experiments,
however, do not provide absolute QYs. An additional challenge is that many of
the products formed are either transient and difficult to observe under
atmospheric conditions or can be formed from multiple reaction pathways.
Determination of <inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> QYs therefore relies on master equation modelling and
hence on an accurate characterisation of reaction mechanisms. The results in
this paper are a necessary step toward such modelling and will inform the
interpretation of photolysis experiments on individual carbonyls, box models of
specific locations and ultimately global chemical transport models.</p>
      <p id="d1e7011">Very little is known about collisional cooling of highly excited ground state
molecules. Modelling of experimental photolysis QYs of acetaldehyde, using a
simple exponential-down model, suggests an average loss of 150 cm<inline-formula><mml:math id="M527" 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="M528" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.8 kJ/mol) internal energy per collision with
N<inline-formula><mml:math id="M529" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx4" id="paren.132"/>. The accuracy of this model and the generality of
this result to other carbonyls and their isomers are yet to be tested.
Nevertheless, it suggests approximately 200 collisions are required to
thermalise carbonyls after absorption of an actinic photon. Given collision
frequencies of the order of <inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M531" 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 atmospheric pressure,
unimolecular reactions with rate coefficients of magnitude
<inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> or more are likely to be competitive under tropospheric conditions.
For example, for deuterated acetaldehyde following excitation by 322.9 nm
light, <xref ref-type="bibr" rid="bib1.bibx47" id="text.133"/> calculated unimolecular rate coefficients for
<inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI dissociation, decarbonylation, formyl <inline-formula><mml:math id="M534" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M535" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M536" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss and
keto–enol tautomerisation of approximately <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M538" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M539" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">7</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. There
is experimental evidence for all of these <inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions under tropospheric
conditions
<xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx51 bib1.bibx45 bib1.bibx78 bib1.bibx43 bib1.bibx23 bib1.bibx100" id="paren.134"/>,
although decarbonylation and formyl <inline-formula><mml:math id="M543" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M544" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> H<inline-formula><mml:math id="M545" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss are minor channels.
Many of the <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> thresholds in Table <xref ref-type="table" rid="Ch1.T1"/> are lower than
those for acetaldehyde, implying higher reaction rate coefficients, although
these are yet to be calculated.</p>
      <p id="d1e7242">Meeting these challenges will enable the tropospheric importance of
photo-initiated <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions in individual carbonyls to be determined. Even
if these individual reactions have a small QY, their presence in all atmospheric
carbonyls may lead to cumulative products that may be atmospherically
significant.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e7265">We have calculated <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reaction thresholds for nine reaction types in
seven classes of carbonyl within a “small” carbonyl test set. In general, the
<inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> transition states are “late” and resemble the products. Reaction
threshold energies typically correlate with the stability of
the product molecules, enabling our results to be generalised to larger
carbonyls.</p>
      <p id="d1e7290">In the smallest carbonyls and dicarbonyls, formaldehyde, glyoxal and
methylglyoxal, the lowest energy threshold is for direct decarbonylation, and
this mechanism will compete with NTI dissociation. In larger aldehydes direct
decarbonylation via a TS mechanism has a threshold of <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">350</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol in
saturated species and <inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">360</mml:mn></mml:mrow></mml:math></inline-formula>–375 in <inline-formula><mml:math id="M552" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M553" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated species.
This reaction is therefore likely unimportant in larger aldehydes. However,
alternate roaming pathways may be viable if there are low-energy barrierless
<inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> NTI pathways.</p>
      <p id="d1e7338">In larger carbonyls, the lowest energy <inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation thresholds are for
triple fragmentation (TF) of both saturated (<inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol) and
<inline-formula><mml:math id="M557" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M558" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated (<inline-formula><mml:math id="M559" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">340</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol) aldehydes, with a negligible
impact from the extension of the main alkyl chain. Branching at the
<inline-formula><mml:math id="M560" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position only increases TF thresholds by <inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol but increases
the reaction path degeneracy and hence, likely, the QY.</p>
      <p id="d1e7404">The only four-centre H<inline-formula><mml:math id="M562" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>-loss mechanism relevant at actinic energies
involves the formyl and <inline-formula><mml:math id="M563" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-hydrogens, and so it needs only to be considered for
aldehydes. This threshold is highest, at 337 kJ/mol, for acetaldehyde, and we
expect it to be <inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">315</mml:mn></mml:mrow></mml:math></inline-formula> in other aldehydes since a terminal double bond is
not being formed.</p>
      <p id="d1e7434">The NTIII <inline-formula><mml:math id="M565" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-hydrogen transfer reaction is energetically accessible in
saturated carbonyls but largely inaccessible for <inline-formula><mml:math id="M566" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M567" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated
species. This pathway is often overlooked in the interpretation of photolysis
experiments but should be considered when the production of alkenes and
aldehydes shows little-to-no pressure dependence.</p>
      <p id="d1e7458">We expect alkane elimination to have thresholds of <inline-formula><mml:math id="M568" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 350 kJ/mol in linear
unsaturated ketones. Whilst energetically
accessible under tropospheric conditions, these thresholds are above those for
NTI dissociation, and we do not expect alkane elimination to be significant. The
AE threshold, however, is reduced to <inline-formula><mml:math id="M569" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">330</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol by branching or
unsaturation at the <inline-formula><mml:math id="M570" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> position, and alkene elimination may be important
in these species.</p>
      <?pagebreak page944?><p id="d1e7485">Finally, when present, tautomerisation pathways have the overall lowest <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
thresholds and yield highly reactive unsaturated species: enols or ketenes. The
keto–enol tautomerisation of acetaldehyde to vinyl alcohol leads to
significant formation of formic acid in the troposphere. This process may be
relevant to other atmospheric carbonyls. In particular, the
<inline-formula><mml:math id="M572" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>,<inline-formula><mml:math id="M573" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>-unsaturated carbonyls have UV absorption spectra that extend
to low energies, high excited state reaction thresholds and relatively high
<inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dissociation thresholds.</p>
      <p id="d1e7524">The calculations in this paper demonstrate a range of ground state reactions
are energetically accessible within the tropospheric “photochemistry” of
carbonyls. The
energetic thresholds for these <inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions are some of the lowest
calculated for any carbonyl reaction on any electronic state. Many of the TF
reactions, as well as the keto–enol and enal–ketene tautomerisation,
are predicted to have reaction thresholds <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:mi mathvariant="italic">≲</mml:mi><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> kJ/mol.
These reactions are likely to be important following photoexcitation at
energies below any excited state reaction threshold or following collisional
cooling of excited state carbonyl molecules below such thresholds. An
assessment of the likelihood of these <inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions and determination of
their product yields, however, require the calculation of the respective reaction
rate coefficients and master equation modelling. Our results will help target
such calculations, as well as future experimental efforts, to reactions most
likely to have tropospheric consequences. It may also be that the QY for the
<inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions of an individual carbonyl is relatively small. The fact that
one or more of these reactions are expected to occur in <italic>all</italic>
atmospheric carbonyls suggests that, cumulatively, they may be significant in
the troposphere and may have atmospheric consequences.</p>
</sec>

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

      <p id="d1e7577">The code is all available in the ORCA suite of programmes, which is referred to in the computational methods, and as referenced by Neese (2017).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e7583">No data sets were used in this article.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e7586">The Supplement related to this article contains a figure and discussion of the
energetic thresholds for relevant <inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reactions in butanal: for the reaction
classes considered, excepting enal–ketene tautomerisation, there is a review of the
previous computational literature, additional higher energy thresholds, as
applicable, and representations of the optimised <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> first-order
saddle points (excepting those for H<inline-formula><mml:math id="M581" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss). Cartesian coordinates for all
optimised saddle points are provided as text filed in a ZIP folder. The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-929-2022-supplement" xlink:title="zip">https://doi.org/10.5194/acp-22-929-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7626">KNR performed all calculations and data
analysis. MJTJ and SHK conceived and directed the project, and MJTJ
supervised the calculations. All authors contributed to data interpretation
and the drafting of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7632">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e7638">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7644">This research was undertaken with the assistance of resources and services from
the National Computational Infrastructure (NCI), which is supported by the
Australian Government, as well as computer time on the computational cluster
Katana supported by the Faculty of Science, UNSW, Australia, and the
computational cluster Artemis supported by the Sydney Informatics Hub at the
University of Sydney.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7650">This work was supported by the Australian Research Council
(grant nos. DP160101792 and DP190102013). Keiran N. Rowell was supported by an Australian
Government Research Training Program (RTP) scholarship.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7656">This paper was edited by Andreas Hofzumahaus and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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