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Title: Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])

Abstract

The authors have determined the dynamic dipole ([alpha][sub 1]), quadrupole ([alpha][sub 3]), and dipole-dipole-quadrupole (B) polarizabilities and the second hyperpolarizability tensor ([gamma]) for the helium atom in its lowest triplet state (2[sup 3]S). They have done so for both real and imaginary frequencies: in the former case, for a range of frequencies ([omega]) between zero and the first electronic-transition frequency, and in the latter case for a 32-point Gauss-Legendre grid running from zero to [Dirac h][omega] = 20 E[sub h]. They have also determined the dispersion-energy coefficients C[sub 6], C[sub 8], and C[sub 10] for the systems H(1[sup 2]S)-He(2[sup 3]X), He(1[sup 1]S)-He(2[sup 3]S), and He(2[sup 3]S)-He(2[sup 3]S) and the C[sub 6][sup 0], C[sub 6][sup 2], C[sub 8][sup 0], C[sub 8][sup 4] coefficients for the interaction He(2[sup 3]S)-H[sub 2](X[sup 1][Sigma][sub g][sup +]). Their values of the higher-order multipolar polarizabilities and of [gamma] for the 2[sup 3]S state of helium are, they believe, the first to be published. 14 refs., 5 tabs.

Authors:
;  [1]
  1. (Univ. of Ottawa, Ontario (Canada))
Publication Date:
OSTI Identifier:
5927974
Resource Type:
Journal Article
Resource Relation:
Journal Name: International Journal of Quantum Chemistry; (United States); Journal Volume: 47:2
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; HELIUM; POLARIZABILITY; HYDROGEN; DIPOLES; ENERGY; INTERACTIONS; MATHEMATICAL MODELS; OCTUPOLES; QUADRUPOLES; ELECTRICAL PROPERTIES; ELEMENTS; FLUIDS; GASES; MULTIPOLES; NONMETALS; PHYSICAL PROPERTIES; RARE GASES; 664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)

Citation Formats

Bishop, D.M., and Pipin, J.. Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +]). United States: N. p., 1993. Web. doi:10.1002/qua.560470204.
Bishop, D.M., & Pipin, J.. Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +]). United States. doi:10.1002/qua.560470204.
Bishop, D.M., and Pipin, J.. Thu . "Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])". United States. doi:10.1002/qua.560470204.
@article{osti_5927974,
title = {Dipole, quadrupole, octupole, and dipole-dipole-quadrupole polarizabilities and second hyperpolarizabilities at real and imaginary frequencies for helium in the 2[sup 3]S state: Dispersion-energy coefficients for interactions between He(2[sup 3]S) and H(1[sup 2]S), He(1[sup 1]S), He(2[sup 3]S), or H[sub 2](X[sup 1][Sigma][sub g][sup +])},
author = {Bishop, D.M. and Pipin, J.},
abstractNote = {The authors have determined the dynamic dipole ([alpha][sub 1]), quadrupole ([alpha][sub 3]), and dipole-dipole-quadrupole (B) polarizabilities and the second hyperpolarizability tensor ([gamma]) for the helium atom in its lowest triplet state (2[sup 3]S). They have done so for both real and imaginary frequencies: in the former case, for a range of frequencies ([omega]) between zero and the first electronic-transition frequency, and in the latter case for a 32-point Gauss-Legendre grid running from zero to [Dirac h][omega] = 20 E[sub h]. They have also determined the dispersion-energy coefficients C[sub 6], C[sub 8], and C[sub 10] for the systems H(1[sup 2]S)-He(2[sup 3]X), He(1[sup 1]S)-He(2[sup 3]S), and He(2[sup 3]S)-He(2[sup 3]S) and the C[sub 6][sup 0], C[sub 6][sup 2], C[sub 8][sup 0], C[sub 8][sup 4] coefficients for the interaction He(2[sup 3]S)-H[sub 2](X[sup 1][Sigma][sub g][sup +]). Their values of the higher-order multipolar polarizabilities and of [gamma] for the 2[sup 3]S state of helium are, they believe, the first to be published. 14 refs., 5 tabs.},
doi = {10.1002/qua.560470204},
journal = {International Journal of Quantum Chemistry; (United States)},
number = ,
volume = 47:2,
place = {United States},
year = {Thu Jul 15 00:00:00 EDT 1993},
month = {Thu Jul 15 00:00:00 EDT 1993}
}