The polarizability of a pair of hydrogen atoms at long range

The coefficients of R^?6 and R^?9 in the long-range expansion of the parallel and perpendicular components of the polarizability of a pair of hydrogen atoms at a separation R have been calculated. The results are A⁽⁶⁾₆ = 2558.59. A⁽⁶⁾_⊥ = 1268.25, A⁽⁸⁾₆ = 90639.5 and A⁽⁸⁾_⊥ = 22010.3 au. The values of A⁽⁶⁾₆ and A⁽⁶⁾₆ and A⁽⁶⁾_| are somewhat larger than previous theoretical estimates and much larger than the classical values of 729 and 182.25 au. The terms in R^?8 arise from distortion associated with the dispersion forces and from the field of the quadrupole moment induced by the field-gradient at each atom.     

Molecular frame distortion and molecular pair polarizability

The contribution of frame distortion to the collision-induced polarizability of the isotropic molecules CH₄, CF₄, CCl₄ and SF₆ is estimated and found to be negligible     

p-character and the polarizability of molecular hydrogen

The polarizability of molecular hydrogen has been calculated over a range of internuclear separations by Hartree-Fock perturbation theory, both coupled and uncoupled, using Gaussian functions as basis set. It is shown that a relatively simple function having the proper admixture of s and p character can yield polarizabilities comparable in accuracy with those obtained from highly sophisticated wave-functions.

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Zusammenfassung Die Polarisierbarkeit des Wasserstoffmoleküls wurde für einen Bereich von Kernabständen mit Hilfe der gekoppelten als auch der entkoppelten Hartree-Fock-Störungstheorie mit einer Basis von Gauss-Funktionen berechnet. Es wird gezeigt, daß eine relativ einfache Funktion mit der geeigneten Beimischung von s- und p-Charakter Polarisierbarkeiten ergibt, deren Genauigkeit solchen aus Rechnungen mit sehr komplizierten Wellenfunktionen vergleichbar ist.

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Résumé Calcul de la polarisabilité de l'hydrogène moléculaire pour un éventail de distances internucléaires par la théorie des perturbations Hartree-Fock, couplée et non couplée, dans une base de fonctions gaussiennes. Une fonction relativement simple présentant un mélange convenable de caractère s et p fournit des polarisabilités, comparables au point de vue précision avec celles obtenues à partir de fonctions d'ondes très élaborées.

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Supported by the National Science Foundation; Grant No. GP-8359.     

The analysis of electron pair distribution functions in molecules

Electron pair distribution functions are analyzed for a variety of SCF+CI wavefunctions, for a range of simple molecules. The statistical correlation between electrons of like spin introduced by the antisymmetry requirement on the many-electron wavefunction is contrasted with the manner in which unlike-spin electron correlation is introduced through the inclusion of configuration interaction.     

Determination of the pair polarizability of argon from the two-body cis spectrum

We present a moment analysis of the experimental two-body collision induced light scattering spectrum of argon which allows the determination of a three-parameter empirical form for the collision induced pair-polarizability anisotropy. The result of the calculation shows that beside the DID and the exponential short-range terms also an intermediate-range term gives an important contribution to the pair polarizability.     

The double photoionization of hydrogen iodide molecules

The double photoionization of HI molecules has been investigated using vacuum ultraviolet synchrotron radiation in the energy range between 27 and 35 eV. The product ions have been detected by the use of time-of-flight mass spectrometry and the threshold energy for HI2+ and H+ + I+ formation has been determined. These results have been interpreted by the use of a theoretical model which has been previously applied by us to HBr2+ and HCl2+. On the basis of the reliability of such a model, an assessment of the systematic trends of the bond features along the HX2+ (X=F, Cl, Br, I) homologous series is given in this paper. In particular, the increase of the stability of these dications, in their lowest electronic states, when going towards the heavier molecules, has been rationalized considering the systematic variation of the charge transfer coupling between the H-X2+ and the H+-X+ states.     

On the theory of collision-induced vibrational transitions in polyatomic molecules: The mode-matching model

A modification of the SSH theory for collision-induced vibrational transitions in polyatomic molecules is proposed. The breathing-sphere model assumptions are avoided by considering the angular relation between the direction of approach and the normal modes displacements of the atoms involved in the contract (mode-matching). The results, as compared to the breathing-sphere model, indicate a considerable, mode specific reduction of the transition probabilities. Intramolecular transitions of CH₃Cl are studied as an example.     

Disymmetry indices based on optical rotational polarizability of chiral molecules

New molecular disymmetry indices are suggested based on an analysis of the moments of rotational polarizability defining optical activity. It is shown that the fourth moment of rotational polarizability coincides with the electron-kinematic index of chirality, introduced previously by one of the authors. The norm of imaginary frequency rotational polarizability is suggested for use as an additional disymmetry index. Illustrative Hartree-Fock calculations of these chirality indices with the 6-31G basis set are performed for hydrogen peroxide, water trimer, and some amino acids. Kharkov State University. Rostov State University. Translated fromZhurnal Strukturnoi Khimii, Vol. 39, No. 2, pp. 319–327, March–April, 1998.     

The polarizability of KCl

We report near-Hartree-Fock limit SCF MO calculations of the variation of the polarizability of KCl with bond distance. The results are compared with those obtained previously for LiCl and Ar₂.     

The polarizability of LiBr

Finite field SCF MO calculations are reported for LiBr over a range of bond distance from 3.8 a_o to 15 a_o Values of the pair potential, dipole moment and polarizability tensor are reported, and the polarizability curves compared with those of LiF and LiCl.     

The role of Hartree-Fock instability in calculations on electron transitions and polarizability for simple molecules

The stability problem is discussed for the Hartree-Fock solutions for simple molecules; the nonempirical GAUSSIAN-76 program has been supplemented with modules that enable one to monitor the course of the self-consistent calculation by means of stability matrices. The process is illustrated by a calculation on the nitrogen molecule.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 21, No. 1, pp. 94–97, January–February, 1985.     

Electron pair correlation in atoms and molecules

Accurate methods for computing energies and electronic properties of atoms and molecules have been derived from direct treatment of localized pairs of electrons. The conceptual development and implementation of such methods is reviewed.     

Electric dipole polarizability of the hydrogen molecule by many-body perturbation theory

Many-body perturbation theory is used to calculate the static electric dipole polarizability of the hydrogen molecule with a basis set of gaussian orbitals. Corrections complete through second order in electron correlation are calculated, and partial summation of certain classes of diagrams are extensively explored. The results are discussed in connection with the geometric approximation incorporating higher-order corrections.     

Variation of the polarizability of the hydrogen molecule ion and the hydrogen molecule with internuclear separation

The variation of the polarizability of H and H₂ with internuclear separation R = 1.6 – R = 2.4 a.u. for H and R = 1.0 – R = 2.0 a.u. for H₂ is determined using a variational method suggested by Das and Bersohn. From these data, values of 〈α〉_0,J for which nuclear motion due to zero point vibration and centrifugal stretching is taken into account, are calculated at 300°K. The relative percent increases of the motion averaged values compared to the equilibrium values are as follows: 10.50% for H and 6.52% for H₂.     

Effect of H/D isotope substitution on polarizability of methanol molecules

The electron polarizabilities (α₀·10²⁴/cm³ molec.⁻¹) were estimated from the data on refractive indices and molar volumes of H/D isotopomers of methanol at 25 °C using the Lorentz-Lorentz formula: 3.265 (CH₃OH), 3.260 (CH₃OD), 3.235 (CD₃OH), and 3.231 (CD₃OD). A relationship between the isotope effects for α₀ and volume (packing) changes in the structure of liquid methanol induced by deuterosubstitution in the methanol molecule was proposed. __________ Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 8, pp. 1927–1928, August, 2005.