DOI: 10.1063/1.1670632. Frequency Dependence of the Higher Susceptibilities

Frequency Dependence of the Higher Susceptibilities

10.1063/1.1670632

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Expressions for the susceptibilities appropriate to third harmonic generation, second harmonic generation, and the induced Kerr effect are derived using time-ordered time-dependent pertubation theory. These expressions are used to calculate the susceptibilities for atomic hydrogen and helium. Using a six-pole trial function we obtain for He λ = 6943 Å,χzzzz(− 3ω; ω, ω, ω) = 47.7 a.u.;λ = 6943 Å,χzzzz(− 2ω; 0, ω, ω) = 45.2 a.u.;λ = 6328 Å,χzzzz(− ω, 0, 0, ω) = 43.6 a.u.; χzzzz(0; 0, 0, 0) = 42.6 a.u. The experimental value of χzzzz(− ω; 0, 0, ω) obtained from Kerr-effect measurements is 51.6 ± 8.6 a.u. The calculations are checked by the use of a number of sum rules with the largest disagreement being 0.05%.

Bibliography

Sitz, P., & Yaris, R. (1968). Frequency Dependence of the Higher Susceptibilities. The Journal of Chemical Physics, 49(8), 3546â3557.

Authors 2

Paul Sitz (first)
Robert Yaris (additional)

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Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 2:22 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 11:07 p.m.)
Indexed	1 month, 2 weeks ago (July 11, 2025, 6:20 a.m.)
Issued	56 years, 10 months ago (Oct. 15, 1968)
Published	56 years, 10 months ago (Oct. 15, 1968)
Published Print	56 years, 10 months ago (Oct. 15, 1968)

Funders 0

None

BibTeX

@article{Sitz_1968, title={Frequency Dependence of the Higher Susceptibilities}, volume={49}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1670632}, DOI={10.1063/1.1670632}, number={8}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Sitz, Paul and Yaris, Robert}, year={1968}, month=oct, pages={3546–3557} }

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  "abstract": "<jats:p>Expressions for the susceptibilities appropriate to third harmonic generation, second harmonic generation, and the induced Kerr effect are derived using time-ordered time-dependent pertubation theory. These expressions are used to calculate the susceptibilities for atomic hydrogen and helium. Using a six-pole trial function we obtain for He \u03bb\u2009=\u20096943 \u00c5,\u03c7zzzz(\u2212\u20093\u03c9; \u03c9, \u03c9, \u03c9)\u2009=\u200947.7 a.u.;\u03bb\u2009=\u20096943 \u00c5,\u03c7zzzz(\u2212\u20092\u03c9; 0, \u03c9, \u03c9)\u2009=\u200945.2 a.u.;\u03bb\u2009=\u20096328 \u00c5,\u03c7zzzz(\u2212\u2009\u03c9, 0, 0, \u03c9)\u2009=\u200943.6 a.u.;\u2008\u03c7zzzz(0; 0, 0, 0)\u2009=\u200942.6 a.u. The experimental value of \u03c7zzzz(\u2212\u2009\u03c9; 0, 0, \u03c9) obtained from Kerr-effect measurements is 51.6\u2009\u00b1\u20098.6 a.u. The calculations are checked by the use of a number of sum rules with the largest disagreement being 0.05%.</jats:p>",
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