Vibration–Rotation Interaction Effects in Calculated Franck–Condon Factors. II. Hydrogen Lyman and Fulcher Bands

1969 ◽  
Vol 50 (4) ◽  
pp. 1754-1762 ◽  
Author(s):  
Don Villarejo ◽  
Roger Stockbauer ◽  
Mark G. Inghram
Keyword(s):  
Interaction Effects ◽  
Condon Factors ◽  
Vibration Rotation ◽  
Franck Condon

Periodicity of the Oscillatory J Dependence of Diatomic Molecule Franck–Condon Factors

1975 ◽  
Vol 53 (16) ◽  
pp. 1560-1572 ◽  
Author(s):  
Robert J. Le Roy ◽  
Edward R. Vrscay
Keyword(s):  
Simple Formula ◽  
Radial Wave Function ◽  
Wave Functions ◽  
Final States ◽  
Rotational Constants ◽  
Radial Wave ◽  
Condon Factors ◽  
Oscillating Functions ◽  
Vibration Rotation ◽  
Franck Condon

Numerical calculations have shown that vibration–rotation interaction often contributes significantly to the J dependence of transition intensities of diatomic molecules. This occurs because centrifugal displacements of the vibrational wave functions cause the Franck–Condon amplitudes (radial overlap integrals) to behave as oscillating functions of J(J + 1). The present paper discusses the origin of this behavior and derives and tests a simple formula for predicting the periodicity of such oscillations. This procedure requires only a knowledge of the rotational constants and vibrational spacings of the initial and final states. It utilizes the result that the average centrifugal displacement rate of a diatomic molecule's radial wave function is approximately [Formula: see text], where Bν and Dν are the usual diatomic rotational constants.

Franck–Condon factors with vibration–rotation interaction for Morse oscillators

1982 ◽  
Vol 77 (10) ◽  
pp. 5252-5253
Author(s):  
M. Ramjee ◽  
M. L. P. Rao ◽  
D. V. K. Rao ◽  
P. T. Rao
Keyword(s):  
Condon Factors ◽  
Vibration Rotation ◽  
Morse Oscillators ◽  
Franck Condon
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