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A dispersion formula for the second dynamic hyperpolarizability as exemplified by helium
Author(s) -
Bishop David M.,
Pipin Janusz
Publication year - 1992
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560430109
Subject(s) - hyperpolarizability , dispersion (optics) , ab initio , helium , nonlinear optical , simple (philosophy) , nonlinear system , molecular physics , computational chemistry , chemistry , physics , atomic physics , quantum mechanics , philosophy , epistemology
A simple one‐parameter formula:is introduced for the description of the dispersion in the second dynamic hyperpolarizability (γ), where ω = ω 1 + ω 2 + ω 3 and ω L 2= ω σ 2+ ω 1 2+ ω 2 2+ ω 3 2 . This formula is appropriate for both atoms and the macroscopic hyperpolarizabilities of molecules (as defined with respect to laboratory axes). Its suitability is tested for helium for five different nonlinear optical processes (including, for the first time, the ac Kerr effect). A comparison is made between the values of found by fitting ab initio γ values and those derived from a formula proposed by Hellwarth et al.