On the Theory of Radiationless Electronic Transitions. II. The Morse Oscillator Model for Arbitrary Values of the Parameter Z
作者:
B.I. Makshantsev,
期刊:
Spectroscopy Letters
(Taylor Available online 1972)
卷期:
Volume 5,
issue 1-2
页码: 7-12
ISSN:0038-7010
年代: 1972
DOI:10.1080/00387017208064678
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In a previous paper1it has been shown that the harmonic oscillator model is incapable of providing sufficiently large Franck-Condon factors F(E) if realistic parameter values are to be used. In consequence the calculated rate constants v=i/τ of radiationless electronic transitions at E ∼ 3 ev do not agree with those obtained experimentally. It has further been shown that this problem can be solved by using the Morse oscillator model. The calculations, however, were confined to a specific, though frequently encountered, case of the general expression for the Franck-Condon factor of a Morse oscillator, viz., the case of a small parameter =, where δω1-ω, ω1and ω being vibrational frequencies in a higher and lower electronic states respectively, Δr = rei- reis the difference of coordinates of oscillator equilibrium positions in the respective electronic states mentioned, and α is a parameter of the Morse curvefor the lower electronic state.
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