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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fchem.2017.00022</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Opinion</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Why Aromaticity Is a Suspicious Concept? Why?</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Sol&#x000E0;</surname> <given-names>Miquel</given-names></name>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/90974/overview"/>
</contrib>
</contrib-group>
<aff><institution>Institut de Qu&#x000ED;mica Computacional i Cat&#x000E0;lisi and Departament de Qu&#x000ED;mica, Universitat de Girona</institution> <country>Girona, Spain</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Yong Wang, Lanzhou Institute of Chemical Physics (CAS), China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Wei Li, Nanjing University, China; Dongqi Wang, University of Chinese Academy of Sciences, China</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Miquel Sol&#x000E0; <email>miquel.sola&#x00040;udg.edu</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Theoretical and Computational Chemistry, a section of the journal Frontiers in Chemistry</p></fn></author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>03</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>5</volume>
<elocation-id>22</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>02</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>03</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Sol&#x000E0;.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Sol&#x000E0;</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<kwd-group>
<kwd>aromaticity</kwd>
<kwd>conjugation</kwd>
<kwd>hyperconjugation</kwd>
<kwd>multidimensional character</kwd>
<kwd>indicators of aromaticity</kwd>
</kwd-group>
<contract-num rid="cn001">CTQ2014-54306-P</contract-num>
<contract-num rid="cn002">2014SGR931</contract-num>
<contract-sponsor id="cn001">Ministerio de Econom&#x000ED;a y Competitividad<named-content content-type="fundref-id">10.13039/501100003329</named-content></contract-sponsor>
<contract-sponsor id="cn002">Generalitat de Catalunya<named-content content-type="fundref-id">10.13039/501100002809</named-content></contract-sponsor>
<counts>
<fig-count count="0"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="38"/>
<page-count count="4"/>
<word-count count="2997"/>
</counts>
</article-meta>
</front>
<body>
<p>From time to time I have the opportunity to give lectures on topics related to aromaticity. Quite often in these occasions I get comments from the audience complaining about the fact that aromaticity is not a well-defined concept. My usual answer is that the most fruitful concepts in chemistry share the same lack of strict definition (Grunenberg, <xref ref-type="bibr" rid="B16">2017</xref>). In one of these occasions, the comment was formulated by someone who give a talk the day before justifying all the results he/she obtained using the concept of hyperconjugation. His/her comment was a little bit irritating to me because, in a way, he/she was saying I am a serious scientist because I am working with rigorous concepts like hyperconjugation whereas you are a kind of pseudoscientist playing with floppy concepts like aromaticity. Was he/she right? I do not think so.</p>
<p>Conjugation involves interactions (electron delocalization) between &#x003C0;-orbitals, although its definition can also be extended to p-orbitals to cover lone pair interactions with the &#x003C0;-system. Hyperconjugation accounts for the interaction between two orbitals with &#x003C0;-symmetry where one or both of them come from a saturated moiety (Mulliken, <xref ref-type="bibr" rid="B29">1939</xref>; Mulliken et al., <xref ref-type="bibr" rid="B30">1941</xref>). It can also be defined as the interaction between the orbitals involved in a &#x003C3;-bond (usually C&#x02013;H or C&#x02013;C) with those related with an adjacent &#x003C0;-bond (usually C&#x0003D;C) or another &#x003C3;-bond. Aromaticity is conjugation (and in some cases hyperconjugation) that generates closed two- and three-dimensional electronic circuits. Conjugation, hyperconjugation, and aromaticity lead to stabilizing interactions that influence the geometry, electron density, dissociation energies or nuclear magnetic resonance properties among many other physicochemical observables. Despite their importance and widespread use, neither hyperconjugation nor aromaticity have a strict physical definition and, therefore, these properties cannot be experimentally directly measured. These two properties share the same origin that is stabilization due to electron delocalization. Indeed, differences between these two concepts are minor as compared to similarities. Thus, the claim that one property is more rigorous than the other is totally unfounded.</p>
<p>The above-mentioned anecdote together with the existence of a series of papers (Balaban, <xref ref-type="bibr" rid="B3">1980</xref>; Lloyd, <xref ref-type="bibr" rid="B26">1996</xref>; Hoffmann, <xref ref-type="bibr" rid="B17">2015</xref>) discussing the concept of aromaticity point out that aromaticity for some chemists is a controversial concept, while parent concepts like conjugation or hyperconjugation are not. Why? In the next paragraphs, I pointed out possible explanations to this fact and I propose ways of action to improve the prestige of this concept.</p>
<sec id="s1">
<title>Possible reasons for the low reputation of the aromaticity concept</title>
<p>The reasons for aromaticity being perceived by some members of the chemical community as questionable are:</p>
<sec>
<title>Too many aromaticity descriptors</title>
<p>Probably, the problem with aromaticity is not the concept itself, but the way aromaticity is characterized. No single property exists that could be taken as a direct measure of aromaticity. The evaluation of global or local aromaticity of a molecule is usually done indirectly by measuring some physicochemical property that reflects a manifestation of its aromatic character. This leads to a large number of classical structural (Krygowski and Cyra&#x00144;ski, <xref ref-type="bibr" rid="B23">2001</xref>; Krygowski et al., <xref ref-type="bibr" rid="B25">2014</xref>), magnetic (Mitchell, <xref ref-type="bibr" rid="B27">2001</xref>; Chen et al., <xref ref-type="bibr" rid="B6">2005</xref>; Gershoni-Poranne and Stanger, <xref ref-type="bibr" rid="B15">2015</xref>), energetic (Cyra&#x00144;ski, <xref ref-type="bibr" rid="B8">2005</xref>), electronic (Poater et al., <xref ref-type="bibr" rid="B31">2005</xref>; Feixas et al., <xref ref-type="bibr" rid="B14">2015</xref>), and reactivity-based (Mucsi et al., <xref ref-type="bibr" rid="B28">2007</xref>) measures of aromaticity. In my opinion, there are too many indicators of aromaticity. An extensive but not exhaustive list (Sol&#x000E0;, <xref ref-type="bibr" rid="B33">2017</xref>) of acronyms includes ASE, RE, ISE, AI, HOMA, Julg index, Jug index, Bird index, PDI, FLU, FLU<sub>&#x003C0;</sub>, MCI, I<sub>ring</sub>, I<sub>NG</sub>, I<sub>NB</sub>, EDDB, AV1245, ELF<sub>&#x003C0;</sub>, ATI, &#x003B8;, PLR, &#x003B7;, &#x003C1;<sub>RCP</sub>, &#x02227;, ACID, ARCS, NICS, NICS<sub>zz</sub>, NICS<sub>&#x003C0;</sub>, NICS-XY-scan&#x02026;The problem is that not all of them give the same ordering by aromaticity of a series of rings or molecules adding confusion to the field (Balaban, <xref ref-type="bibr" rid="B3">1980</xref>; Lloyd, <xref ref-type="bibr" rid="B26">1996</xref>; Poater et al., <xref ref-type="bibr" rid="B32">2004</xref>). And the reason is that all indices are just approximations to the problem of measuring aromaticity and some of them are not useful for certain situations (for instance, to detect the aromaticity of transition states in cycloaddition reactions). Other indices are simply not good enough to provide reliable results. This is particularly the case if we want to quantify the aromaticity of metalloaromatic compounds (Feixas et al., <xref ref-type="bibr" rid="B13">2013</xref>) because most of the methods to measure aromaticity were developed for the classical aromatic organic molecules and they cannot be directly applied to metallic clusters. For these species, the electronic indices and magnetic measures are likely the best choices (Feixas et al., <xref ref-type="bibr" rid="B10">2010</xref>).</p>
</sec>
<sec>
<title>The multidimensional character of aromaticity</title>
<p>In relation with the previous point, many times the apparent contradictions found among differently based indices are overcome by addressing to the so-called multidimensional character of aromaticity (Katritzky et al., <xref ref-type="bibr" rid="B20">1989</xref>, <xref ref-type="bibr" rid="B22">1998</xref>, <xref ref-type="bibr" rid="B21">2001</xref>; Jug and K&#x000F6;ster, <xref ref-type="bibr" rid="B19">1991</xref>; Krygowski and Cyra&#x00144;ski, <xref ref-type="bibr" rid="B23">2001</xref>; Cyra&#x00144;ski et al., <xref ref-type="bibr" rid="B9">2002</xref>). According to this view, different indices afford divergent orderings since one compound may be more aromatic than other in one dimension and less aromatic in another (Krygowski et al., <xref ref-type="bibr" rid="B24">2000</xref>). The problem with this view is that, in principle, one could get any ordering of aromaticity provided one looks at the correct direction in the multidimensional space. If we accept the multidimensional character of aromaticity, then this concept becomes quite useless because one can justify almost any result. Some years ago, Bultinck et al. (Bultinck et al., <xref ref-type="bibr" rid="B5">2006</xref>; Bultinck, <xref ref-type="bibr" rid="B4">2007</xref>) already warned about the use of the multidimensional character of aromaticity as a generic excuse to consider any aromaticity index a good descriptor of aromaticity irrespective of the results obtained.</p>
</sec>
<sec>
<title>Too many types of aromaticity</title>
<p>The list of different types of aromaticity is also very broad (Sol&#x000E0;, <xref ref-type="bibr" rid="B33">2017</xref>). Among them we can cite H&#x000FC;ckel aromaticity, M&#x000F6;bius aromaticity, excited state aromaticity, H&#x000FC;ckel-Baird hybrid aromaticity, homoaromaticity, heteroaromaticity, claromaticity, three-dimensional aromaticity, spherical aromaticity, cubic aromaticity, octahedral aromaticity, &#x003C3;-aromaticity, &#x003B4;-aromaticity, multiple aromaticity, conflicting aromaticity, metalloaromaticity, chelatoaromaticity, quasi-aromaticity, transition state aromaticity, hyperaromaticity&#x02026;The adjective added to aromaticity in each case helps to describe a particular situation. In a sense, they are totally justified, however, the existence of so many types of aromaticity can be perceived as hectic.</p>
</sec>
<sec>
<title>The unwarranted use of aromaticity</title>
<p>The link between aromaticity and stability is well-established. However, among a series of isomers or different electronic states, not always the most stable is the most aromatic. Aromaticity is just one more of the many factors that affect the relative energies of isomers. Other aspects, such as strain energy, hyperconjugation, the presence of hydrogen bonds, long-range interactions, and so forth, may have, in many cases, a greater influence. Aromaticity cannot explain all observed differences. It should not come as a surprise to find isomerization energies that cannot be justified from the different aromatic character of the isomers. For instance, N-substituted imidazoles are more stable than the corresponding pyrazoles although the higher stability of imidazoles is not due to the higher aromaticity of imidazole rings but a weaker N&#x02013;N bond found in the pyrazole rings (Curutchet et al., <xref ref-type="bibr" rid="B7">2011</xref>).</p>
</sec>
</sec>
<sec id="s2">
<title>Possible solutions and recommendations</title>
<p>Possible recommendations that may help to improve the prestige of aromaticity are:</p>
<sec>
<title>Propose new descriptors of aromaticity only when justified</title>
<p>As said before, there are too many indicators of aromaticity. New indicators are welcome but only when they improve the currently existing ones because they are cheaper to compute and have a similar quality to those previously defined or they have a better performance. To assess the quality of the descriptors, the best option is to employ a set of aromaticity tests (Feixas et al., <xref ref-type="bibr" rid="B12">2008</xref>; Sol&#x000E0; et al., <xref ref-type="bibr" rid="B34">2010</xref>) that are designed based on the accumulated chemical experience about the expected aromaticity trends in a given series of compounds. The larger the number of tests passed, the better the indicator (Feixas et al., <xref ref-type="bibr" rid="B12">2008</xref>, <xref ref-type="bibr" rid="B10">2010</xref>; Sol&#x000E0; et al., <xref ref-type="bibr" rid="B34">2010</xref>).</p>
</sec>
<sec>
<title>Avoid using the excuse of the multidimensional character of aromaticity</title>
<p>Available indices of aromaticity do not always give consistent results among themselves (Balaban, <xref ref-type="bibr" rid="B3">1980</xref>; Lloyd, <xref ref-type="bibr" rid="B26">1996</xref>; Poater et al., <xref ref-type="bibr" rid="B32">2004</xref>; Zhao et al., <xref ref-type="bibr" rid="B37">2017</xref>). Thus, for instance, predictions based on magnetic criteria of aromaticity often deviates from those based on energetic grounds (Aihara, <xref ref-type="bibr" rid="B1">2006</xref>). In some cases, contradictions found among indices are justified by addressing to the so-called multidimensional character of aromaticity (Katritzky et al., <xref ref-type="bibr" rid="B20">1989</xref>, <xref ref-type="bibr" rid="B22">1998</xref>, <xref ref-type="bibr" rid="B21">2001</xref>; Jug and K&#x000F6;ster, <xref ref-type="bibr" rid="B19">1991</xref>; Krygowski and Cyra&#x00144;ski, <xref ref-type="bibr" rid="B23">2001</xref>; Cyra&#x00144;ski et al., <xref ref-type="bibr" rid="B9">2002</xref>). Recent works, however, have proved that, in many cases, the contradictions between indices are due to failures of some indicators to correctly measure aromaticity and that the multidimensional character of aromaticity is not fully founded (Bultinck et al., <xref ref-type="bibr" rid="B5">2006</xref>; Bultinck, <xref ref-type="bibr" rid="B4">2007</xref>; Badri and Foroutan-Nejad, <xref ref-type="bibr" rid="B2">2016</xref>).</p>
</sec>
<sec>
<title>Using a set of aromaticity indicators</title>
<p>In general, it is advisable to use a set of indices based on different physicochemical properties to characterize aromatic compounds (Hoffmann et al., <xref ref-type="bibr" rid="B18">1997</xref>; Poater et al., <xref ref-type="bibr" rid="B32">2004</xref>; Chen et al., <xref ref-type="bibr" rid="B6">2005</xref>; Tsipis, <xref ref-type="bibr" rid="B35">2005</xref>; Van Droogenbroek et al., <xref ref-type="bibr" rid="B36">2005</xref>; Feixas et al., <xref ref-type="bibr" rid="B11">2007</xref>). When using a large set of aromaticity indicators, conclusions reached are much more reliable. In particular, one can feel especially safe about the derived conclusions when all criteria provide the same results for the set of compounds analyzed. If different criteria produce contradictory results, the conclusions, if any, are necessarily weaker.</p>
</sec>
<sec>
<title>Avoid defining new types of aromaticity</title>
<p>As said before, the number of different types of aromaticity is probably too large. In some cases, the use of adjectives in front of the word aromaticity can be helpful. In other occasions, it is unnecessary. For instance, when we write that pyridine is a heteroaromatic molecule or when we classify metallabenzenes as metalloaromatic, we are not giving any extra information. By just calling them aromatic, it would be enough. In fact, no one considers that the Zn&#x02013;Zn bond (Zhu et al., <xref ref-type="bibr" rid="B38">2006</xref>) is a metallocovalent bond. We simply say that it is a covalent bond. When naming aromatic compounds, one should keep nomenclature as simple as possible.</p>
<p>In summary, since the discovery of benzene in 1825, aromaticity has been one of the most vexing yet fascinating concepts in chemistry. It is useful to understand the structure, stability, spectroscopy, magnetic properties, and chemical reactivity of many compounds. Like many fruitful concepts in chemistry, aromaticity is vaguely defined. However, this lack of a strict definition is not a reason strong enough to question the concept. In this article, we have listed a series of good practices that may improve the perception of this concept.</p>
</sec>
</sec>
<sec id="s3">
<title>Author contributions</title>
<p>The author confirms being the sole contributor of this work and approved it for publication.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<ack><p>The following organizations are thanked for financial support: The Ministerio de Econom&#x000ED;a y Competitividad (MINECO, project number CTQ2014-54306-P), the Generalitat de Catalunya (project number 2014SGR931, Xarxa de Refer&#x000E8;ncia en Qu&#x000ED;mica Te&#x000F2;rica i Computacional, and ICREA Academia 2014 prize), and the FEDER fund (European Fund for Regional Development) for the grant UNGI10-4E-801.</p>
</ack>
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<fn><p><bold>Article Title Justification:</bold> On 27th April 2011, after Real Madrid vs Barcelona (0&#x02013;2) match in Champions League, the trainer of the Real Madrid, Jos&#x000E9; Mourinho, complained about UEFA referees saying: &#x0201C;Why? Why? Why Ovrebo? Why Busacca? Why De Bleeckere? Why Stark? Why?&#x0201D; The title is inspired in his speech and it is a homage to the unforgettable Barcelona 2010&#x02013;11 team.</p></fn>
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