Quasi-homeopolar states in conjugated hydrocarbons. Interaction of π- and σ-electrons

Quasi-homeopolar levels of - and -electrons in conjugate hydrocarbons are considered. It is shown that in the spin hamiltonian and the projected operators of the physical values there appear terms which involve --interaction. The spin hamiltonian of --interaction is small, and its contribution to energies and spin functions can be calculated from perturbation theory by taking the spin hamiltonian of noninteracting - and -electrons as equal to zero. The - and -electrons of the C=C bond in ethylene are considered in detail. Calculations show that their interaction increases the excitation energy of the lower triplet of ethylene. The spin hamiltonian parameters of the simplest conjugate hydrocarbons are determined.The accuracy of the valence-bond method is investigated on the basis of the theory of quasi-homeopolar levels. It is shown that empirical selection of the parameters partially compensates for the errors which are made in the derivation of the fundamental equation for this approximation.     

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.     

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.     

Computation of ultraviolet and visible spectra for cobalt acetylacetonate

A computation is made for the Co(acac)₃ molecule by the semiempirical method of Mulliken, Helmholz, and Wolfsberg. The results indicate a high degree of covalence in the metal—ligand bond. Analysis of the obtained system of energy levels and oscillator forces for the possible transitions makes it possible to interpret the 1100 nm and 800 nm bands as transitions from the -orbitals of the carbon atoms in the ortho position to the metal to the d orbitals of the metal; the bands in the 400- to 610-nm region are interpreted as d()-d transitions, which cannot be regarded as pure d-d transitions. The bands in the region below 400 nm are attributed to - transitions. The calculation also shows that in complexes with covalent metal-ligand bonds the levels, to which the main contribution is made by the atomic orbitals of the metal and the directly coordinated atoms, are mixed.     

Synthesis and chiral-optical properties of (+)-3-methyl-3,4-dihydroisoquinoline-1-thione

(+)-3-Methyl-3,4-dihydroisoquinoline-1-thione was obtained by sulfuration of (+)-3-methyl-3,4-dihydroisoquinolone with phosphorus pentasulfide or by cyclization of (+)--benzylethyl isothiocyante under the influence of polyphosphoric acid. Measurements of the rotatory dispersion and circular dichroism showed the presence of two positive Cotton effects due to n^* and ^* transitions in the thioamide chromophore, as well as Cotton effects apparently due to ^* transitions in the aromatic chromophore.Communication XXXV from the series Stereochemical Investigations. See [11] for communication XXXIV.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 1, pp. 94–97, January, 1976.     

Comparative analysis of electric properties of polyenes,cumulenes, and acetylenes in the method of complete configurational interaction

The dipole polarizability () and the second hyperpolarizability () of -shells in molecules of acetylene, diacetylene, and cumulenes containing from 3 to 6 carbon atoms have been evaluated. It was found that the intramolecular interaction of the -shells substantially decreases the values of in acetylenes and of in cumulenes and acetylenes.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 28, No. 3, pp. 243–246, May–June, 1992.     

σ-π separation: Excited H2 as a model system

The low-lying states of H₂ consist of one core () and one valence () electron and afford a direct evaluation of intershell - interaction. After resolution of the electronic energy into only, only, and - parts, it is shown that an electronic change in this model system is due solely to a change in the electrons. Simple Hückel theory is examined. If the molecular core is represented properly, regardless of the wave function the calculated and parameters are in reasonable agreement with the empirical parameters. This agreement appears to be due to a fortuitous cancellation of energy contributions.

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Zusammenfassung Die niedrig liegenden -Zustände des H₂ bestehen aus einem Rumpfelektron und einem Valenzelektron und ermöglichen eine direkte Auswertung der --Wechselwirkung zwischen zwei Schalen. Nach der Zerlegung der elektronischen Energie in -,- und --Anteile wird gezeigt, daß eine elektronische Veränderung in diesem Modellsystem nur auf eine Veränderung des -Elektronenanteils zurückgeht. Die einfache Hückeltheorie wird untersucht. Wenn der Molekülrumpf geeignet dargestellt wird, so sind, unabhängig von der -Wellenfunktion, die berechneten Parameter und in guter Übereinstimmung mit den empirischen Parametern. Diese Übereinstimmung scheint auf eine starke Auslöschung von Energieanteilen zurückzugehen.

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Résumé Les états inférieurs de H₂ consistent en un électron de coeur () et un électron de valence () et fournissent une évaluation directe de l'interaction entre couches -. Après expression de l'énergie électronique en parties , et -, on montre qu'une modification électronique de ce système modèle est due seulement à une modification des électrons . La théorie de Hückel simple est examinée. Si le coeur moléculaire est convenablement représenté, quelle que soit la fonction d'onde , les paramètres at calculés sont en accord raisonnable avec les paramètres empiriques. Cet accord apparaît comme le résultat d'une compensation fortuite de contributions énergétiques.

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Work performed in part under the auspices of the U.S. Atomic Energy Commission.

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Work aided by the U.S. Public Health Service via grant GM 08068.     

Calculation of two-center zero-field splitting integrals

Two-center zero-field splitting (ZFS) integrals have been calculated by numerical integration of Coulomb repulsion integrals which are evaluated over basic charge distributions as defined by Roothaan in terms of Slater atomic orbitals. The method is applied to the calculation of the ZFS integrals for -, - and - electron interactions on C, N and N⁺ centers. Numerical results are given.

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Zusammenfassung Zweizentren ZFS-Integrale sind mittels numerischer Integration von Coulombintegralen berechnet worden, und zwar die -, -- und --Integrale an C-, N- und N⁺-Zentren. Die numerischen Resultate werden mitgeteilt.

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Résumé Les intégrales bi-centriques de séparation à champ nul (ZFS) ont été calculées par intégration numérique des intégrales de répulsion coulombiennes évaluées pour les distributions de charge fondamentales définies par Roothan en termes d'orbitales atomiques de Slater. La méthode est appliquée au calcul des intégrales ZFS pour les interactions -, - et - sur les centres C, N et N⁺. Résultats numériques.

     

Triplet states via intermediate neglect of differential overlap: Benzene,pyridine and the diazines

The intermediate neglect of differential overlap technique is modified and applied to the calculation of excited triplet states. The resulting method generally reproduces the transition energies of the better-classified observations within a rms error of 1000 cm^–1. Trends are well reproduced, and the calculated orders ofn-* and -* triplet states are in good accord with the experimental information to date.The method is applied to benzene and the azines. The lowest four triplet states of benzene are calculated in good accord with experiment. Pyridine is calculated to have an-* triplet nearly degenerate with the lowest lying -* triplet, corroborating suggestions of Japar and Ramsay based on experimental information. A detailed analysis is made of the diazines, and assignments are suggested for the higher lying triplet states not yet classified or not yet observed.     

The electronic spectrum of acrylonitrile

The vapor absorption spectrum of acrylonitrile CH₂CHCN has been measured in the vacuum ultraviolet region. In addition, an all-valence-electron molecular orbital calculation has been used to calculate the electronic structure and spectrum of the molecule. On the basis of the MO calculation, as well as a vibrational analysis of the observed spectrum, several electronic transitions are assigned. The lowest energy absorption band (2107Å, = 150) is assigned as an n ^* transition. Absorption bands at 2030Å (=1600), 1725Å ( = 2100), and 1570Å ( = 1920) are assigned as 0–0 bands associated with transitions that are, respectively, ^*,^*, and ^* in character.

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Zusammenfassung Das UV-Absorptionsspektrum von dampfförmigen Acrylnitril wurde gemessen und eine CNDO/2-Rechnung für die Elektronenstruktur durchgeführt. Auf dieser Basis konnten unter Zuhilfenahme der Analyse der Schwingungsstruktur im beobachteten Spektrum mehrere Banden zugeordnet werden: die 2107-Å-Bande ( = 150) einem n^*-Übergang, die drei Banden bei 2030Å ( = 1600), 1725Å ( = 2100) und 1570 Å ( = 1920)0-0-Übergängen von ^*-, ^*- bzw. ^*-Banden.

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Résumé Mesure du spectre d'absorption en phase vapeur de l'acrilonitrile CH₂CHCN dans la région de l'ultraviolet. Par ailleurs, la structure électronique et le spectre de la molécule ont été calculés à l'aide d'une méthode des orbitales moléculaires semi-empirique pour tous les électrons de valence. Sur cette base, ainsi que sur une analyse vibrationnelle du spectre expérimental, on procède à l'attribution de plusieurs transitions électroniques. La bande d'absorption de plus basse énergie (2107 Å, = 150) est attribuée à une transition n ^*. Les bandes d'absorption à 2030Å ( = 1600), 1275Å ( = 2100) et 1570Å ( = 1920) sont considérées comme des bandes 0 - 0 associées à des transitions ^*, ^* et ^* respectivement.

     

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.     

Calculation of σ→π* and π→σ* transitions in vinylboranes

Calculations are presented of the energies of the ground and excited and electronic states of ethylene and substituted vinylboranes. The Pople-Segal-Santry method was employed throughout. It is concluded that the excited state of lowest energy in ethylene has * character whilst the lowest energy ultra-violet spectral bands of the latter compounds stem from ^* transitions.

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Zusammenfassung Valenzelektronenrechnungen nach Pople-Segal-Santry wurden für Äthylen und Vinylborane durchgeführt. Danach hat der niedrigste angeregte Zustand von Äthylen ^*-Charakter, während die längstwellige UV-Bande der Vinylborane einem ^* -Übergang entspricht.

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Résumé Calculs de l'énergie pour les états fondamentaux et excités et de l'éthylène et des vinylboranes substitués. Utilisation de la méthode de Pople-Ségal-Santry. L'état excité le plus bas pour l'éthylène résulte d'une transition ^* , alors qu'il résulte d'une transition ^* pour les vinylboranes.

     

Investigation of the electronic effect of the diphenylphosphino group

We have synthesized meta-substituted derivatives of benzoic acid, determined their ionization constants in water-alcohol solutions of concentration 11 and 14 by volume, and calculated the Hammett constant _m of the diphenylphosphino (0.12), diphenylamino (–0.04), diphenylphosphinyl (0.40) and diphenylthiophosphinyl (0.32) groups. Unlike the diphenylamine group, the diphenylphosphino group is metaorienting, which is probably to be explained by the absence or the weak nature of p- conjugation of incomplete electron pairs on the phosphorus and the presence of an electron-acceptor effect (d-p conjugation).     

The inclusion of non-nearest neighbor ß terms in pariser-parr-pople type S.C.M.O. calculations

The calculation of -electron properties by an S.C.M.O. method including all _core terms has been extended to nitrogen and oxygen containing systems. The singlet ^* electronic transitions and -ionization potentials (where available) are in reasonable agreement with experiment. A comparison is made with the non-empirical all electron calculations of Clementi for pyrrole, pyridine and pyrazine.

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Zusammenfassung Die Berechnung von -Elektronen-Eigenschaften mittels einer SCMO-Methode, die alle _core-Terme einschließt, wurde auf Systeme mit Stickstoff- und Sauerstoffatomen ausgedehnt. Die Singulett- ^*-Übergänge und -Ionisierungsenergien sind in vernünftiger Übereinstimmung mit dem Experiment. Es wird einen Vergleich mit den nichtempirischen Rechnungen mit allen Elektronen von Clementi an Pyrrol, Pyridin und Pyrazin angestellt.

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Résumé Le calcul des propriétés des électrons par une méthode S.C.M.O. tenant compte de tous les termes _coeur a été étendu aux systèmes contenant de l'azote et de l'oxygène. Les transitions électroniques singulet ^* et les potentiels d'ionisation (lorsqu'ils sont connus) sont en accord raisonnable avec l'expérience. Les résultats sont comparés aux calculs non-empiriques de tous les électrons effectués par Clémenti pour le pyrrole, la pyridine et la pyrazine.

     

Sur les rôles respectifs des électrons σ et π dans les propriétés des dérivés halogénés des molécules conjuguées. Application à l'étude de l'uracile et du fluorouracile

Résumé Une étude des importances relatives des déplacements d'électrons et dans les hydrocarbures conjugués halogénés est faite par plusieurs procédés de calcul dont les valeurs sont comparées. Les contributions et aux valeurs des moments dipolaires de 21 molécules ont été calculées.L'effet de la substitution d'un fluor sur la molécule d'uracile est considéré en détail avec une étude particulière des propriétés acides dont les déplacements d'électrons ne peuvent à eux seuls rendre compte.

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The relative importance of - and -electron displacements is studied in halogen-substituted conjugated molecules by different methods. The dipole moments of 21 molecules are calculated.The effect of substituting a fluorine atom on the uracil molecule is considered in details with particular emphasis on the acidic properties which cannot be interpreted by -displacements alone.

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Zusammenfassung Die wechselseitige Bedeutung von - und -Elektronenverschiebungen wird an halogensubstituierten, konjugierten Kohlenwasserstoffen mit verschiedenen Methoden studiert. Die Beiträge der - und -Elektronen zum Dipolmoment werden für 21 Moleküle berechnet.Der Effekt der Fluorsubstitution am Uracil wird besonders eingehend betrachtet im Hinblick auf die Azidität, die nicht durch -Elektronenverschiebung allein erklärt werden kann.

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Ce travail a bénéficié de la subvention no. CR-66-236 de l'Institut National de la Santé et de la Recherche Médicale.     

New form of effective potential to calculate polarization effects of theπ-electronic states of organic molecules

A new relation for the contribution of the most important polarization effects in the energy of the -electronic states of organic molecules is derived. For -electronic systems we suggest a correct form of the ejfective potential of the two-panicle polarization interaction of -electrons via the polarizable -core. This form approximates (by the Thomas-Fernti method) the exact contribution of the corresponding exchange polarization diagrams of the Rayleigh-Schrödinger perturbation theory. The potential may be flectively used in ab initio calculations of -electronic systems typically done in the frozen core approximation.Hydrometeorological Institute, Ukraine. Translated fromZhurnal Strukturnoi Khimii, Vol. 34, No. 5, pp. 12–19, September–October, 1993.Translated by L. Smolina     

Theoretical Study of the Products of Acetylene Addition to HgCl2

The ab initio MP2 method is used with the LANL2DZ basis to calculate the mercury chloride ,-complex with two acetylene molecules (1) and various isomeric forms of mercury di()-vinyl chloride -complexes (2): cis-cis (2A), cis-trans (2B), and trans-trans (2C). The ,-complex is the most stable form of all those considered; the difference between 1 and 2A is 24.9 kcal/mole. A relation between the total energies (kcal/mole) for isomeric forms 2 is established to be 2A (0) < 2B (0.98) < 2C (1.58). Complex 1 is shown to be transformed into 2A via the intermediate formation of 3, which is a hybrid form of the complex (,-complex of mercury chloride with two acetylene molecules). The structures of the transition states for the transformations of 1 into 3 (structure 4) and of 3 into 2A (structure 5) and the corresponding transition activation energies are determined. The interaction of 2A, 2B, and 2C with the Cl^- anion as a model nucleophile is considered. It is shown that the resulting anions (6A, 6B, 6C) have a planar structure with the relative stability increasing in the series 6A<6B<6C.     

Nature of the pentamethyldisilanyl group in organosilicon compounds

Summary The positige inductive effect of the pentamethyldisilanyl group (CH₃)₃SiSi(CH₃)₂ and the election-acceptor effect of its p-d bond with an aromatic ring are appreciably greater than the analogous effects of the trimethylsilyl group (CH_{3 3}Si, which gives ground for the postulation of the presence of a p-d-d¹ bond in the fragment C_sp ²-Si-Si.     

Electronic structure and properties of pyridyl- and quinolylamines

The -electron structures and spectra corresponding to singlet -singlet - transitions of neutral and protonated pyridyl- and quinolylamine molecules were calculated by the MO LCAO method within the semiempirical Pariser-Parr-Pople approximation with allowance for configuration interaction. It is shown that the -electron density distribution explains the different directions of nucleophilic and electrophilic substitution reactions in the neutral and protonated heterocycle molecules. It is concluded that the character of protonation of amino-substituted quinolines is distinct.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 4, pp. 520–524, April, 1972.     

Maximally inhibited gas phase elimination kinetics of methyl 3-bromopropionate

The gas phase elimination of methyl 3-bromopropionate has been studied in a static system and in vessels seasoned with allyl bromide. The reaction is autocatalyzed by HBr. However, under maximum inhibition with propene, the reaction obeys first order kinetics and is a homogeneous unimolecular elimination. The products are methyl acrylate and hydrogen bromide. The observed rate coefficients are represented by the Arrhenius equation: log k₁ (s^–1)=(12.94±0.46)–(214.5±6.0) kJ/mol/2.303 RT in the temperature range 400.1–449.9 °C and pressure range 49–98 Torr. The pyrolysis of methyl 3-bromopropionate is 3.5 times faster than that of ethyl bromide. This significant difference may be attributed to the greater acidity of the -hydrogen in 3-bromopropionate compared to that in ethyl bromide.

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3- , . HBr . . . , , : log k₁ (^–1)=(12,94±0,46)–(214,5±6,0) ·^–1/2,303 RT 400,1–449,9°C 49–98 . - 3,5 , . - - .