Combined method for calculating raman band intensities with consideration for the dependence of the raman tensor on the frequency of exciting radiation

It is shown that at certain assumptions the tensor of Raman bands can be represented as a sum of the Placzek term and the fast convergent series that contains information on the sensitivity of the tensor elements to the frequency of exciting radiation. The convergences of the corresponding series and the frequency dependences of the Raman band intensities for particular molecules are studied by computer experiments. Vernadskii Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences. Moscow State Civil-Engineering University. Translated fromZhurnal Strukturnoi Khimii, Vol. 37, No. 2, pp. 241–249, March–April, 1996. Translated by I. Izvekova     

Algorithm for determination of the local similarity of molecules

An algorithm for seeking common structural fragments in compounds of different classes is developed. The algorithm allows for the molecular geometry and atomic characteristics, It may be used for recognition of compounds with properties associated with the local similarity of molecules such as ligand complementarity to a receptor. An example of seeking common structural elements for nondrug analgesics (para-acetamidophenol, acetylsalicylic acid, and amidopyrine) is given. I. I. Polzunov Altai State Technical University. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 6, pp. 1083–1087, November–December, 1995. Translated by L. Smolina     

Effect of terminal groups on the relative stability of linear mercury clusters

The problem of stabilizing the linear clusters of mercury by terminal groups is discussed in terms of the MNDO method for the following model and real compounds: Hg_n (I), Hg_nCl₂ (II) and Hg_n(AlCl₄)₂ (III) with n=2–4. It is shown that the terminal acceptor groups stabilize the linear mercury chains. It is established that in systems (II) and (III), unlike in (I), the highest occupied molecular orbitals are bonding. Mordoviya State University. Institute of Organoelement Compounds, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 4, pp. 623–629, July–August, 1995. Translated by I. Izvekova     

Isothermal compressibility and correlation radius near the critical point: Numerical analysis of the Ornstein-Zernike equation

Solution of the Ornstein-Zernike equation is analyzed numerically in the Percus-Yevick and hyperchain approximations for a system of Lennard-Jones particles in a critical region. The temperature dependences of correlation functions, isothermal compressibility η, and correlation radius of density fluctuations ζ are investigated at a critical density; the corresponding critical indices are determined. It is shown that the Percus-Yevick approximation yields satisfactory results when the correlation functions are calculated within a range corresponding to approximately 50 atomic (molecular) diameters. In this case, with ≈5% deviations from the critical temperature, the calculated and experimental values of η and critical indices are in good agreement. Tver State University. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 5, pp. 799–807, September–October, 1995. Translated by I. Izvekova     

Estimation of the densities of solutions using the geometrical parameters of their component molecules

A new model based on certain physical concepts of interatomic interactions is proposed for simulating the volume characteristics of molecules that allow reliable estimations of the densities of substances and solutions. The model is used to calculate the solution densities for six substances within wide concentration ranges. Chelyabinsk State University. Translated fromZhurmal Strukturnoi Khimii, Vol. 36, No. 5, pp. 823–827, September–October, 1995. Translated by I. Izvekova     

Semiempirical calculation of two-electron integrals using bipolar expansion of the Ohno potential

Bipolar expansion of the Ohno potential as a method of calculating two-center Coulomb integrals that appear in the NDDO approximation is generalized to one-center two-electron integrals. A unified semiempirical scheme is suggested for estimating two-electron interactions in molecules. This scheme can be readily extended to arbitrary Slater basis sets (including the s,p,d-orbitals) and involves no a priori data on the valent states of atoms. In this work, the scheme is employed to extend the semiempirical PM3 method to the s,p,d-basis set. The efficiency of the method is proven by test calculations of 24 chromium compounds (π-complexes, carbonyls, isocyanides, etc.). Scientific Research Institute of Chemistry at N. I. Lobachevskii Nizhnii Novgorod State University. Translated fromZhurnal Struktumoi Khimii, Vol. 36, No. 4, pp. 593–599, July–August, 1995. Translated by I. Izvekova.     

Indo calculation of electronic spectra for transition metal complexes in the extended approximation of singly excited configurations

Semiempirical INDO-E/S calculations of [RuX₆]^q (X=NH₃, q=+2, +3; X=CN⁻, q=−4, −3) complexes are performed to demonstrate that the MO relaxation in the electronically excited state can be taken into account by introducing certain double excitations into the configuration interaction matrix; the principles of selection of the excitations are discussed. The calculation results are compared with the experimental electronic absorption spectra. St. Petersburg State University. Translated fromZhurnal Struktumoi Khimii, Vol. 37, No. 2, pp. 195–205, March–April, 1996. Translated by I. Izvekova     

Vibrational structure of the electron transition to the second excited singlet state of pyridine N-oxide

The vibrational structure of the electron transition to the second singlet excited state of pyridine N-oxide has been studied. The frequency of the 0–0 transition is 34502 cm⁻¹. A computer-aided technique for the assignment of the frequencies of the normal vibrations of polyatomic molecules in the excited electronic states is proposed. The frequencies of the totally symmetric vibrations of pyridine N-oxide in the second singlet electronically excited state are assigned. N. G. Chernyshevskii Saratov State University. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 2, pp. 350–355, March–April, 1995. Translated by I. Izvekova     

Homo- and heterochirality of dissymmetric tetrahedra (chiral simplices). Stereochemical tunneling

This paper examines the possibility of classifying chiral simplices into homochiral subclasses. It is shown that chiral simplices can skip achiral intermediates to be transformed into another type of homochiral moleucles (stereochemical tunneling). A. V. Bogatskii Physiochemical Institute, Ukrainian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 5, pp. 873–878, September–October, 1995. Translated by L. Smolina     

Synthesis and structure of the product of bis-condensation of 4-methyl-2,6-diformylphenol with dimethyl N′,N′-hydrazine diacetate

Bis-condensation of 4-methyl-2,6-diformylphenol with dimethyl N′,N′-hydrazine diacetate gave product I. The structure of I was determined by X-ray analysis. The conformations of the two side chains of dimethyl N′,N′-hydrazine diacetate are significantly different. The position of one chain is fixed by the intramolecular H-bond of O−H.…N type. Due to its conformation, compound I is partly ready for complex formation with d-metals. Institute of Applied Physics, Academy of Sciences, Moldova Republic. Institute of Chemistry, Academy of Sciences, Moldova Republic. Translated fromZhurnal Struktumoi Khimii, Vol. 35, No. 3, pp. 91–98, May–June, 1994. Translated by L. Smolina     

g-tensor theory for strongly distorted octahedral low-spind 5 complexes

Using the crystal-field theory (CFT), we derive equations for the low-spin d⁵ configuration in the case of an arbitrary ligand field including the configuration interaction correction. Experimental ESR and electronic absorption spectral data of some octahedral Ru(III) and Os(III) complexes with a strong tetragonal distortion are analyzed. It is shown that the contribution of the spin-orbit term of the configuration interaction may be considerably suppressed due to the strong covalency of the σ-bond. V. I. Vernadskii Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 35, No. 1, pp. 31–48, January–February, 1994. Translated by L. Smolina     

Force fields of halide-substituted methane derivatives

The paper describes methods for determining the force fields of large sets of molecules which share the common property that in their constituent groups of molecules the equivalent force constants always change monotonically with the properties of substituent atoms belonging to the same subgroup of the periodic table. The force fields of the CH_4−nX_n (n=0–4, X=F, Cl, Br, I) molecules of the methane series are obtained. The applications of these force fields are discussed. In particular, they can serve as a basis for a data bank of the force fields of fragments suitable for constructing the force fields of more complex molecules. Russian Scientific Center “Applied Chemistry”, St. Petersburg. Translated fromZhurnal Strukturnoi Khimii, Vol. 37, No. 2, pp. 250–256, March–April, 1996. Translated by I. Izvekova     

Tunnel-exchange states of square-planar bielectron transfer clusters

The tunnel states of square-planar bielectron transfer dⁿ-dⁿ-dⁿ⁺¹-dⁿ⁺¹ (n=0–4) clusters are considered. The nature of the ground spin state is revealed in the limiting case of a strong double exchange. It is shown that the magnetic properties of these systems radically differ from those of clusters with one migrating electron (hole) and tetrameric tetrahedral bielectron transfer clusters. Moldova State University. Translated fromZhurnal Strukturnoi Khimii, Vol. 37, No. 5, pp. 826–833, September–October, 1996. Translated by I. Izvekova     

Combination of ionic and metal-olefin bonds in crystalline copper(I) π-complexes

The ionic field effect on metal-olefin π-binding is considered for 24 Cu(I) compounds based on X-ray diffraction data. Structural features due to Cu…(C=C)−H…An and N−H…An bridges in cationic and zwitterionic π-complexes, respectively, are discussed. Parity of metal-olefin and hydrogen bonds in formation of these structures is shown. I. Franko Lvov State University. Translated fromZhurnal Strukturnoi Khimii, Vol. 35, No. 5, pp. 109–119, September–October, 1994. Translated by A. Arbuznikov     

Effect of the components of the raman scattering tensor on band intensities

The Raman scattering (RS) tensor as a function of excitation radiation frequency is studied taking into account, the vibration quantum. It is shown that the corresponding asymmetric components of the tensor are described by fast converging series. Expressions are obtained for the antisymmetric and symmetric components of the RS tensor. A convenient formula is proposed for the calculation of the RS tensor and its components, where the tensor is represented as a sum of the derivative of static polarizability and the terms containing fast converging series. The formula makes it possible to avoid infinite summation. Computer experiments simulating the dependence of the intensity of RS bands and their components on the excitation frequency are carried out. Moscow State University of Building Engineering. V. I. Vernadskii Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 37, No. 6, pp. 1006–1015, November–December, 1996. Translated by I. Izvekova     

Basisless variational method of solving Hartree-Fock equations

I. I. Polzunov Altai State Technical University. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 4, pp. 737–739, July–August, 1995.     

Parametric method in the theory of the vibronic spectra of complex molecules. Absorption spectrum of decapentaene

The absorption spectra of decapentaene are analyzed and calculated using the available efficient methods of calculating the matric elements of the vibronic problem, a new parametric method for determining the potential surfaces of excited molecules, and a fragmentation approach to the design of molecular models. Good agreement for the fine vibrational structure of the calculated and experimental spectra (differences between the main band frequencies and intensities less than 20 cm⁻¹ and 10%, respectively) is obtained without correcting the parameters of the method. The mechanisms of excitation-induced structural changes in linear polyenes and the effect of bond angle changes on the vibrational structure of the spectrum are revealed. A new interpretation of the absorption spectrum of decapentaene in an argon matrix is proposed [J. Mol. Spectrosc.,114, 54–59 (1985)]. It is shown that the parametric method allows quantitative prediction of fine structure for the vibronic spectra of complex molecules. K. A. Timiryazev Moscow Agricultural Academy. Translated fromZhurnal Strukturmoi Khimii, Vol. 37, No. 6, pp. 1031–1039, November–December, 1996. Translated by I. Izvekova     

Semiempirical andab initio study of the structure of the alumophenylsiloxane complex and its fragments

The structures, spectra, and electron density distributions of the alumophenylsiloxane (APS) complex and its fragments have been calculated using semiempirical (AM1) and ab initio (SCF/3-21G and SCF/6-31G^*) quantum chemical approximations. It has been shown that the local properties of the central fragment of alumophenylsiloxane, which is a slightly distorted tetrahedron AlO₄, are described with the (LiO)₂AlOBe(OH) cluster. M. V. Lomonosov Moscow State University. I. M. Gubkin State Academy of Oil and Gas. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 3, pp. 410–417, May–June, 1995. Translated by I. Izvekova     

Novel methods for calculating the fine vibronic spectra of polyatomic molecules

Novel approximate methods for calculating the vibrational structure of the electronic spectra of polyatomic molecules—a method for the direct calculation of the overlap integrals of vibrational wave functions for the electronic states involved in a transition and a variational method for the solution of the vibrational problem for the excited states—are discussed. The methods are based on the consideration of the displacement and entanglement of normal coordinates, the quasiorthogonality of the Dushinsky transformation, and the classification of the states by total vibrational quantum numbers. Matrix perturbation theory is employed. It is shown that the accuracy of these methods compares well with the accuracy of the available “exact” techniques (the errors are ∼1 cm⁻¹ for frequency and 10% for relative intensity). At the same time, calculations by the new methods are performed more than two orders of magnitude faster than by the previously known methods. K. A. Timiryazev Agricultural Academy, Moscow. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 2, pp. 217–230, March–April, 1995. Translated by I. Izvekova     

Calculation of the potential energy surface of a polyatomic molecule in an adiabatic approximation

V. I. Vernadskii Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 6, pp. 1142–1144, November–December, 1995