Direct calculation of the relaxation matrix for line-mixing problem

M. R. Cherkasov

doi:10.1117/12.131161

1 July 1992 Direct calculation of the relaxation matrix for line-mixing problem

M. R. Cherkasov

Proceedings Volume 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy; (1992) https://doi.org/10.1117/12.131161
Event: Tenth All-Union Symposium and School on High Resolution Molecular Spectroscopy, 1991, Omsk, Russian Federation

Abstract

The absorption coefficient o(w) for the nonpolarized radiation in the isotropic medium is cz(w)-'—Am p(2K+1) { (llK)* P'f+ P// (TLK) R;jf } (1) i:f j'f' where is the reduced matrix element of the resolvent operator I f';if (ilK) _ 1 RjIfI;jf (UK) (UK) w-L —A,, S j f .if L11 and A11 are the matricies of reduced elements of the Liouville and relaxation operators, which are defined in the line space of the absorbing molecule. The diagonal elements of the relaxation operator define the half widths and shifts of the individual lines, the nondiagonal elements are the cross-relaxation parameters responsible for the line mixing. Within the framework of impact approximation the relaxation operator is I' = 1bJd()Tr {[i U(oo_co)] b} (3) where is the thermal bath density and U(oo,-co) is the scattering operator in the combined Liouville space of the absorbing molecule and the bath particle. The averaging is performed over the bath particle states and the classical path parameters. In general the halfwidth and the shift are to be calculated simultaneously, however, usually the former is taken from the experiment or from the isolated line approximation calclations. To calculate the crossrelaxation parameters different models ' or the infinite order sudden approximation method which has only limited application in the molecular spectroscopy, are used.

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M. R. Cherkasov "Direct calculation of the relaxation matrix for line-mixing problem", Proc. SPIE 1811, Tenth All-Union Symposium and School on High-Resolution Molecular Spectroscopy, (1 July 1992); https://doi.org/10.1117/12.131161

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KEYWORDS

Molecules

Molecular spectroscopy

Ions

Absorption

Particles

Space operations

Computing systems

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