Topological studies on heteroconjugated molecules

A graph-theoretical analysis of certain -electron properties of alternant molecules with one heteroatom is given. Topological formulas for total -electron energy, -electron charge density, bond order and various polarizabilities are derived. The main results of the paper are summarized in Rules 1-7.     

Ring currents and nuclear magnetic resonance in porphyrins

The McWeeny method [1] for calculating the -electron currents in aromatic molecules is modified for porphyrins. The distribution of the ring currents of the -electrons and their contributions to the chemical shifts of NH, -H, the meso protons, and the protons of the methyl groups of porphyrins with carbethoxy and methyl substituents in the form of dications and free bases are calculated. We show that the -electron current in the internal conjugation chain passing through the nitrogen atom decreases during the formation of the dication, while the total ring current increases by almost 10%. Introduction of an electron-accepting substituent in the -position intensifies the -electron current through the C—N bond of the corresponding pyrrole ring, and there is a simultaneous decrease in the total -electron current.     

A new theoretical approach to the empirical resonance energies of the aromatic hydrocarbons

In the framework of the Hückel MO approximation, the differences in total binding energy between a given molecule and the corresponding distorted Kekulé-type structure are calculated for a variety of benzenoid hydrocarbons. The total binding energy is assumed to be given by the sum of the -electron and -electron binding energies. It is shown that there is a good linear relationship between the calculated differences in total binding energy and the -electron delocalization energies (DE) as obtained by using the simple Hückel MO method. This provides a physical basis for the use of the -electron DE as a theoretical index to the empirical resonance energy (RE). Further, by examining the changes in -electron binding energy between a given molecule and the corresponding distorted Kekulé-type structure, it is concluded that in benzenoid hydrocarbons the main contributor to the RE is not the -electron DE but the compressional energy of bonds.     

Electronic structure of long molecules with conjugated bonds

The -electron system in a long molecule of the polyene type was calculated according to the Hartree-Fock self-consistent field method in which electrons with different spins are located on different molecular orbitals. The ground state of the -electron system in a long molecule is found to be antiferromagnetic and possesses a gap in the one-particle excitation spectrum. The calculated value of the first -electron transition as a function of the number of atoms in the polyene chain is in good agreement with experiment.     

The Exciton Model and the Circular Dichroism of Polypeptides

Summary. Exciton coupling of the 190nm ^* transition is an important factor in the CD spectrum of peptides and proteins. The CD spectrum of the -helix is dominated by the exciton effect. The spectrum is sensitive to the direction of the ^* transition dipole moment, especially for short helices. Exciton theory is much less successful in accounting for the CD spectrum of the poly(proline)II (PPII) conformation, an important conformer in collagen and in unordered peptides. Mixing of the ^* transition with high-energy transitions in the peptide backbone and in side chains must be considered to explain the strong negative CD band near 200nm of PPII.     

Electronic structure and aromaticity of planar singlet π-electron monocyclic π2 carbenes

Induced -electron ring currents and relative diamagnetic susceptibilities of planar singlet -electron monocyclic ² carbenes are calculated in the coupled variant of perturbation theory in the CNO method. It is shown that the parity theorem holds for charged planar ² and ² carbenes formally generated by the detachment of a proton or a hydride ion from alternant hydrocarbons. This leads, in such carbenes, to the same energies of singlet-singlet and singlet-triplet transitions, electric polarizabilities, conjugation energies, -electron ring currents, diamagnetic susceptibilities and current contributions to chemical shifts, whereas the charge contributions to the latter are of opposite signs.Donbas State Academy of Building and Architecture, 1 Derzhavina St., 339023 Makeevka, Donetsk Region, Ukraine. Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 32, No. 3, pp. 157–162, May–June, 1996. Original article submitted December 5, 1994.     

A comment on the Hückel 4n + 2 rule

Conclusions The pentalenopentalene molecule has an open (in the Hückel sense) -electron shell, notwithstanding that the number of -electrons forming the -electron system is a number of the form (4n+2).Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 5, pp. 1185–1186, May, 1969.     

Structure of 2,3- and 2,5-dihydroxypyridines

On the basis of an analysis of the UV and IR spectra, it was established that 2,3- and 2,5-dihydroxypyridines exist in different forms in neutral, acid, and alkaline media. The electronic absorption spectra of the neutral forms of the molecules and the distribution of the -electron charges in them were calculated by means of the Pariser—Parr—Pople (PPP) MO method. A comparison of the results of the calculations with the experimental UV spectroscopic data demonstrated that the calculations correctly predict the number of ^* absorption bands in the accessible region of the UV spectra and their positions and relative intensities.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 1, pp. 60–63, January, 1973.     

Partitioning of <Emphasis Type="Italic">π</Emphasis> -electrons in rings of polycyclic conjugated hydrocarbons: Part 6. Comparison with other methods for estimating the local aromaticity of rings in polycyclic benzenoids

By adopting the convention that shared double bonds in polycyclic conjugated hydrocarbons contribute with one -electron and unshared ones with two -electrons, a partition of -electrons in each ring (-electron content, EC) can be obtained by averaging over all Kekulé structures, which are assumed to have equal weights. This affords a simple measure of local aromaticity that is comparable with other such local aromaticity indices in polycyclic benzenoids.     

Calculation of some electronic excited states of formaldehyde

The optimized MO's of several excited states of formaldehyde have been calculated by means of a large basis set of modified Gaussian functions; particular attention has been paid to the * transition. The total energy of the various states has been obtained as the sum of the SCF and correlation energies; the last one has been calculated as a functional of the electronic density. The calculated values for the transition energies are in good agreement with the experiment. A strong interaction of the * state with the continuum is evidentiated; this fact can justify the absence of the * band in the absorption spectrum.     

π-Electron structures and reactivities of 2,3- and 2,5-dihydroxypyridines

The -electron structures and reactivities of 2,3- and 2,5-dihydroxypyridines in neutral, acidic, and alkaline media were investigated by the Hückel MO method. Satisfactory correlations of the indexes of the -electron structures with the reactivities and other properties of these molecules were obtained.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 1, pp. 56–59, January, 1973.     

Excited Π states of divinyl chalcogenides and chalcophenes

Electron transitions in divinyl chalcogenides (CH₂=CHXCH=CH₂, where X is S, Se, or Te) have been analyzed using UV absorption spectra of dialkyl and alkyl vinyl chalcogenides. The following relations for the orbital energies are found: ^* < ^* < ^* < ^* for Te and ^* < ^* < ^* < ^* for S and Se. For chalcophenes, a correlation between the energy of the excited state (E ^*) of specific symmetry, the ionization potential (I) and the electron affinity (EA) is obtained:E ^*=const+(I+EA)/2. The electron affinity of divinyl chalcogenides is estimated. The correlation between the excited ^* states of divinyl chalcogenides and chalcophenes is discussed.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 5, pp. 831–835, May, 1994.     

Some peculiarities of π—π interactions between tetraphenylporphine metal complexes and aromatic solvents

The — complexes of metal tetraphenylporphinates with benzene, toluene, and xylenes were characterized by means of thermogravimetry. The ability of metalloporphyrins to form — complexes with certain -donor molecules depends largely on the -acceptor capacity of the macroheterocycle, and on the peculiarities of the metal—porphyrin coordinative linkage. Stoichiometry, energy parameters, and thermal stability of the - complexes of metalloporphyrins with various aromatic ligands are determined to a great extent by the molecular structure of solvents.Translated fromIzyestiya Akademii Nauk. Seriya Khimicheskaya, No. 5, pp.850–853, May, 1993.     

Homodimerization of spiro{bicyclo[2.2.1]Hepta-2,5-Diene-7,1′-cyclopropane}, catalyzed by group VIII transition metal complexes

Conclusions The homodimerization of spiro{bicyclo[2.2.1]hepta-2,5-diene-7,1-cyclopropane} (I) has been investigated in the presence of Ni-, Fe-, Co-, Rh-, and Ir-based metal complex catalysts. Depending on the nature of the metal and its ligand environment cyclodimerization of (I) can take place via [2+2]-, [2+2+2]-, and [4+4]-cycloaddition schemes, to give high yields of hepta-, octa-, and nonacyclic strained hydrocarbons.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 11, pp. 2592–2599, November, 1988.     

Exact topological π-electron Hamiltonians from ab initio wavefunctions?

A general topological -electron Hamiltonian is defined as an appropriate function of the adjacency matrix. It is shown that any electronic property of a planar benzenoid hydrocarbon, including its all-electron wavefunction, is entirely determined by the topological -electron Hamiltonian describing the hydrocarbon. However, using electronic wavefunctions (calculated at the HF/6-31G^** level) of several such hydrocarbons as examples, it is demonstrated that it is impossible to construct topological Hamiltonians with eigenvectors related by simple universal algebraic formulae to the corresponding occupied Hartree-Fock orbitals of symmetry. This observation casts doubt on the usefulness of the Hückel -electron orbitals in understanding the electronic structures of benzenoid systems.Dedicated to Professor Frank Harary on the occasion of his 70th birthday.     

Hyperconjugation of unsymmetrical groups

The interaction of the -bond system with the -electron system in molecules of type {ie427-01} is easily determined for the symmetrical CH₃ group by isolating the -component from the system of three -bonds; CH₃ is thus treated as a C=X quasivinyl group. The theory is extended to unsymmetrical groups.Read at the Symposium on Quantum Chemistry, Palanga, June 1965.     

Kinetische Untersuchungen und LCAO—MO-Berechnungen der Dienon—Phenol-Umlagerung

Zusammenfassung Der Einfluß von Substituenten auf die Dienon—Phenol-Umlagerung wird mittels kinetischer Messungen untersucht. Mit Hilfe der einfachen LCAO—MO-Methode werden die -Elektronenstrukturen der Dienone und der modellmäßig festgelegten aktivierten Komplexe berechnet. Die Differenzen der -Elektronenenergien zwischen den Dienonen und aktivierten Komplexen werden als Maß für die Umlagerungsfreudigkeit angenommen und mit den Geschwindigkeitskonstanten verglichen.

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The kinetics of the dienone-phenol rearrangement was used to determine the influence of substituents. -electron structures of dienones and transition state models were calculated by means of the simple LCAO—MO method. -electron energy differences between dienones and transition states, assumed to be a measure for rearrangement tendency, are compared to rate constants.

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Mit 2 Abbildungen     

Cyclic Conjugation Energy Effects in Polycyclic π-Electron Systems

Summary. The fact that cyclic arrangements of double bonds have a dramatic effect on the behavior of conjugated organic molecules is known since the 19th century. The fact that in monocyclic conjugated systems the size of the cycle and the number of -electrons involved is decisive for their stability (aromaticity) or lack of stability (antiaromaticity) is known since the 1930s. In polycyclic -electron systems several cyclic effects are present simultaneously and their separation became possible only recently. A molecular orbital method has been elaborated, by means of which the energy effects of individual cycles in polycyclic -electron systems can be estimated. This method is briefly outlined and illustrated by pertinent examples. An exhaustive bibliography of the topic considered is given.     

Electronic Structure, Aromaticity, and Physicochemical Characteristics of Carbene, Radical, and Ionic Forms of Compounds of the Imidazole Series, and their Oxo and Thio Analogs

The effects of benzannellation, phenyl substitution at the nitrogen atom, protonation at the carbene carbon, ionization, and the state of the carbene center (² or ²) on the electronic structure, diamagnetic susceptibility, induced -electron ring currents, the ¹H, ¹³C, and ¹⁴N chemical shifts, and the energies of the lowest electronic transitions of imidazol-2-ylidenes and their oxo and thio analogs were examined in the bound version of -electron perturbation theory. The calculated and experimental data are compared.     

Electronic structures of pyridine N-oxide and 4-nitrosopyridine N-oxide

The -electron structure of pyridine N-oxide was calculated by the Pariser-Parr-Pople method, the effect of -polarization of the NO bond upon the valence state ionization potentials and electron affinities being taken into account. By the aid of these results, the -electron structure of 4-nitrosopyridine N-oxide was studied by the composite system method. The calculated transition energies and oscillator strengths can satisfactorly explain the observed electronic absorption spectrum. The 372 m band was ascribed to the charge-transfer transition from the oxygen atom of the NO group to the nitroso group via the pyridine nucleus.