Non-Kekulé Molecule
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A non-Kekulé molecule is a conjugated
hydrocarbon In organic chemistry, a hydrocarbon is an organic compound consisting entirely of hydrogen and carbon. Hydrocarbons are examples of group 14 hydrides. Hydrocarbons are generally colourless and hydrophobic, and their odors are usually weak or ex ...
that cannot be assigned a classical
Kekulé structure In chemistry, aromaticity is a chemical property of cyclic ( ring-shaped), ''typically'' planar (flat) molecular structures with pi bonds in resonance (those containing delocalized electrons) that gives increased stability compared to saturat ...
. Since non-Kekulé molecules have two or more formal charges
radical Radical may refer to: Politics and ideology Politics *Radical politics, the political intent of fundamental societal change *Radicalism (historical), the Radical Movement that began in late 18th century Britain and spread to continental Europe and ...
centers, their spin-spin interactions can cause
electrical conductivity Electrical resistivity (also called specific electrical resistance or volume resistivity) is a fundamental property of a material that measures how strongly it resists electric current. A low resistivity indicates a material that readily allow ...
or
ferromagnetism Ferromagnetism is a property of certain materials (such as iron) which results in a large observed magnetic permeability, and in many cases a large magnetic coercivity allowing the material to form a permanent magnet. Ferromagnetic materials ...
(
molecule-based magnets Molecule-based magnets (MBMs) or molecular magnets are a class of materials capable of displaying ferromagnetism and other more complex magnetic phenomena. This class expands the materials properties typically associated with magnets to include lo ...
), and applications to functional materials are expected. However, as these molecules are quite reactive and most of them are easily decomposed or
polymerized In polymer chemistry, polymerization (American English), or polymerisation (British English), is a process of reacting monomer molecules together in a chemical reaction to form polymer chains or three-dimensional networks. There are many for ...
at room temperature, strategies for stabilization are needed for their practical use. Synthesis and observation of these reactive molecules are generally accomplished by matrix-isolation methods.


Biradicals

The simplest non-Kekulé molecules are biradicals. A biradical is an even-electron
chemical compound A chemical compound is a chemical substance composed of many identical molecules (or molecular entities) containing atoms from more than one chemical element held together by chemical bonds. A molecule consisting of atoms of only one element ...
with two
free radical A daughter category of ''Ageing'', this category deals only with the biological aspects of ageing. Ageing Ailments of unknown cause Biogerontology Biological processes Causes of death Cellular processes Gerontology Life extension Metabo ...
centres which act ''independently'' of each other. They should not be confused with the more general class of
diradical In chemistry, a diradical is a molecular species with two electrons occupying molecular orbitals (MOs) which are degenerate. The term "diradical" is mainly used to describe organic compounds, where most diradicals are extremely reactive and in ...
s. One of the first biradicals was synthesized by
Wilhelm Schlenk Wilhelm may refer to: People and fictional characters * William Charles John Pitcher, costume designer known professionally as "Wilhelm" * Wilhelm (name), a list of people and fictional characters with the given name or surname Other uses * Moun ...
in 1915 following the same methodology as
Moses Gomberg Moses Gomberg (February 8, 1866 – February 12, 1947) was a chemistry professor at the University of Michigan. He was elected to the National Academy of Sciences and served as president of the American Chemical Society. Early life and education ...
's
triphenylmethyl radical The triphenylmethyl radical (often shorted to trityl radical) is an organic compound with the formula (C6H5)3C. It is a persistent radical. It was the first radical ever to be described in organic chemistry. Because of its accessibility, the tri ...
. The so-called Schlenk-Brauns hydrocarbons are: Eugene Müller, with the aid of a
Gouy balance The Gouy balance, invented by the French physicist Louis Georges Gouy, is a device for measuring the magnetic susceptibility of a sample. Background Amongst a wide range of interest in optics, Brownian motion, and experimental physics, Gouy als ...
, established for the first time that these compounds are
paramagnetic Paramagnetism is a form of magnetism whereby some materials are weakly attracted by an externally applied magnetic field, and form internal, induced magnetic fields in the direction of the applied magnetic field. In contrast with this behavior, d ...
with a triplet ground state. Another classic biradical was synthesised by
Aleksei Chichibabin Alekséy Yevgényevich Chichibábin (russian: Алексей Евгеньевич Чичибабин) was a Soviet Union, Soviet/Russian organic chemist, born , Kuzemin village, current Sumy Oblast, Ukraine, died in Paris, France, 15 August 1945. H ...
in 1907. Other classical examples are the biradicals described by Yang in 1960 and by Coppinger in 1962.


Trimethylenemethane

A well studied biradical is
trimethylenemethane Trimethylenemethane (often abbreviated TMM) is a chemical compound with formula . It is a neutral free molecule with two unsatisfied valence bonds, and is therefore a highly reactive free radical. Formally, it can be viewed as an isobutylene mo ...
(TMM), . In 1966 Paul Dowd determined with
electron spin resonance Electron paramagnetic resonance (EPR) or electron spin resonance (ESR) spectroscopy is a method for studying materials that have unpaired electrons. The basic concepts of EPR are analogous to those of nuclear magnetic resonance (NMR), but the spi ...
that this compound also has a
triplet state In quantum mechanics, a triplet is a quantum state of a system with a spin of quantum number =1, such that there are three allowed values of the spin component, = −1, 0, and +1. Spin, in the context of quantum mechanics, is not a mechanical ...
. In a crystalline host the 6 hydrogen atoms in TMM are identical.


Quinodimethanes and PAHs

Other examples of non-Kekulé molecules are the biradicaloid quinodimethanes, that have a six-membered ring with methylene substituents. Non-Kekulé polynuclear aromatic hydrocarbons are composed of several fused six-membered rings. The simplest member of this class is
triangulene Triangulene (also known as Clar's hydrocarbon) is the smallest Triplet state, triplet-ground-state Polycyclic aromatic hydrocarbon, polybenzenoid. It exists as a biradical with the chemical formula . It was first hypothesized by Czech Republic, C ...
. After unsuccessful attempts by
Erich Clar Erich Clar (23 August 1902 in Hřensko – 27 March 1987 in Estepona) was an Austrian organic chemist who studied polycyclic aromatic hydrocarbon chemistry. He is considered as the father of that field. In 1941, he authored "Aromatische Kohlenwasser ...
in 1953, trioxytriangulene was synthesized by Richard J. Bushby in 1995, and kinetically stabilized triangulene by Kazuhiro Nakasuji in 2001. However, in 2017 a project led by David Fox and Anish Mistry from the University of Warwick in collaboration with IBM synthesized and imaged
triangulene Triangulene (also known as Clar's hydrocarbon) is the smallest Triplet state, triplet-ground-state Polycyclic aromatic hydrocarbon, polybenzenoid. It exists as a biradical with the chemical formula . It was first hypothesized by Czech Republic, C ...
. In 2019, larger homologues of triangulene, consisting of ten ( riangulene) and fifteen fused six-membered rings ( riangulene) were synthesized in 2019. In 2021, synthesis of the hitherto largest triangulene homologue, consisting of twenty-eight fused six-membered rings ( riangulene) was achieved. Scanning tunneling microscopy experiments on triangulene spin chains have revealed the clearest proof yet of the existence of Haldane gap and fractional edge states predicted for spin-1 Heisenberg chain. A related class of biradicals are para-benzynes. Other studied biradicals are those based on pleiadene, extended viologens,
corannulene Corannulene is a polycyclic aromatic hydrocarbon with chemical formula C20 H10. The molecule consists of a cyclopentane ring fused with 5 benzene rings, so another name for it is irculene. It is of scientific interest because it is a geodesic ...
s, nitronyl-nitroxide, bis(phenalenyl)s and teranthenes. Pleiadene has been synthesised from
acenaphthylene Acenaphthylene, a polycyclic aromatic hydrocarbon is an ortho- and peri-fused tricyclic hydrocarbon. The molecule resembles naphthalene with positions 1 and 8 connected by a -CH=CH- unit. It is a yellow solid. Unlike many polycyclic aromatic hyd ...
and
anthranilic acid Anthranilic acid is an aromatic acid with the formula C6H4(NH2)(CO2H) and has a sweetish taste. The molecule consists of a benzene ring, ''ortho''-substituted with a carboxylic acid and an amine. As a result of containing both acidic and basic f ...
/
amyl nitrite Amyl nitrite is a chemical compound with the formula C5H11ONO. A variety of isomers are known, but they all feature an amyl group attached to the nitrite functional group. The alkyl group is unreactive and the chemical and biological propertie ...
:


Oxyallyl

The oxyallyl diradical (OXA) is a
trimethylenemethane Trimethylenemethane (often abbreviated TMM) is a chemical compound with formula . It is a neutral free molecule with two unsatisfied valence bonds, and is therefore a highly reactive free radical. Formally, it can be viewed as an isobutylene mo ...
molecule with one
methylene group In organic chemistry, a methylene group is any part of a molecule that consists of two hydrogen atoms bound to a carbon atom, which is connected to the remainder of the molecule by two single bonds. The group may be represented as , where the '< ...
replaced by
oxygen Oxygen is the chemical element with the symbol O and atomic number 8. It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as wel ...
. This
reactive intermediate In chemistry, a reactive intermediate or an intermediate is a short-lived, high-energy, highly reactive molecule. When generated in a chemical reaction, it will quickly convert into a more stable molecule. Only in exceptional cases can these comp ...
is postulated to occur in ring opening of
cyclopropanone Cyclopropanone is an organic compound with molecular formula (CH2)2CO consisting of a cyclopropane carbon framework with a ketone functional group. The parent compound is labile, being highly sensitive toward even weak nucleophiles. Surrogates o ...
s,
allene oxide In organic chemistry, an allene oxide is an epoxide of an allene. The parent allene oxide is CH2=C(O)CH2 (CAS RN 40079-14-9), a rare and reactive species of only theoretical interest. Typical allene oxides require steric protection for their isol ...
s and in the
Favorskii rearrangement The Favorskii rearrangement is principally a rearrangement of cyclopropanones and α-halo ketones that leads to carboxylic acid derivatives. In the case of cyclic α-halo ketones, the Favorskii rearrangement constitutes a ring contraction. This ...
. The intermediate has been produced by reaction of oxygen radical anions with
acetone Acetone (2-propanone or dimethyl ketone), is an organic compound with the formula . It is the simplest and smallest ketone (). It is a colorless, highly volatile and flammable liquid with a characteristic pungent odour. Acetone is miscib ...
and studied by
photoelectron spectroscopy Photoemission spectroscopy (PES), also known as photoelectron spectroscopy, refers to energy measurement of electrons emitted from solids, gases or liquids by the photoelectric effect, in order to determine the binding energies of electrons in th ...
. The experimental
electron affinity The electron affinity (''E''ea) of an atom or molecule is defined as the amount of energy released when an electron attaches to a neutral atom or molecule in the gaseous state to form an anion. ::X(g) + e− → X−(g) + energy Note that this is ...
of OXA is 1.94 eV.


Classification

Non-Kekulé molecules with two formal radical centers (non-Kekulé diradicals) can be classified into ''non-disjoint'' and ''disjoint'' by the shape of their two non-bonding
molecular orbital In chemistry, a molecular orbital is a mathematical function describing the location and wave-like behavior of an electron in a molecule. This function can be used to calculate chemical and physical properties such as the probability of finding ...
s (NBMOs). Both NBMOs of molecules with ''non-disjoint'' characteristics such as trimethylenemethane have
electron density In quantum chemistry, electron density or electronic density is the measure of the probability of an electron being present at an infinitesimal element of space surrounding any given point. It is a scalar quantity depending upon three spatial va ...
at the same
atom Every atom is composed of a nucleus and one or more electrons bound to the nucleus. The nucleus is made of one or more protons and a number of neutrons. Only the most common variety of hydrogen has no neutrons. Every solid, liquid, gas, and ...
. According to
Hund's rule Hund's rule of maximum multiplicity is a rule based on observation of atomic spectra, which is used to predict the ground state of an atom or molecule with one or more open electronic shells. The rule states that for a given electron configuration ...
, each orbital is filled with one electron with parallel spin, avoiding the
Coulomb repulsion Coulomb's inverse-square law, or simply Coulomb's law, is an experimental law of physics that quantifies the amount of force between two stationary, electrically charged particles. The electric force between charged bodies at rest is conventiona ...
by filling one orbital with two electrons. Therefore, such molecules with ''non-disjoint'' NBMOs are expected to prefer a triplet
ground state The ground state of a quantum-mechanical system is its stationary state of lowest energy; the energy of the ground state is known as the zero-point energy of the system. An excited state is any state with energy greater than the ground state. ...
. In contrast, the NBMOs of the molecules with ''disjoint'' characteristics such as tetramethyleneethane can be described without having electron density at the same atom. With such MOs, the destabilization factor by the Coulomb repulsion becomes much smaller than with ''non-disjoint'' type molecules, and therefore the relative stability of the singlet ground state to the triplet ground state will be nearly equal, or even reversed because of
exchange interaction In chemistry and physics, the exchange interaction (with an exchange energy and exchange term) is a quantum mechanical effect that only occurs between identical particles. Despite sometimes being called an exchange force in an analogy to classical ...
.


References

IUPAC Gold Book The International Union of Pure and Applied Chemistry publishes many books which contain its complete list of definitions. The definitions are divided into seven "colour books": Gold, Green, Blue, Purple, Orange, White, and Red. There is also an e ...
definitions o
''biradical''
an

/ref> Robert A. Moss ed. (2004), "Reactive Intermediate Chemistry" (Book) Wiley-Interscience. M. Baumgarten (2003/2004), "High spin molecules directed towards molecular magnets", chapter 12 in "EPR of free radicals in solids, Trends in methods and application", A. Lund, M. Shiotani (eds), Kluwer, pages 491-528 {{cite journal , last1 = Ichino , first1 = Takatoshi , last2 = Villano , first2 = Stephanie M. , last3 = Gianola , first3 = Adam J. , last4 = Goebbert , first4 = Daniel J. , last5 = Velarde , first5 = Luis , last6 = Sanov , first6 = Andrei , last7 = Blanksby , first7 = Stephen J. , last8 = Zhou , first8 = Xin , last9 = Hrovat , first9 = David A. , last10 = Thatcher Borden , first10 = Weston , last11 = Lineberger , first11 = W. Carl , year = 2009 , title = The lowest singlet and triplet states of the oxyallyl diradical , url = https://eprints.qut.edu.au/70682/1/The_Lowest_Singlet_2009.pdf, journal = Angewandte Chemie International Edition , volume = 48 , issue = 45, pages = 8509–8511 , doi = 10.1002/anie.200904417 , pmid = 19739188
Organic chemistry Free radicals