Isotope Effects on Franck—Condon Factors. VII. Vibrational Intensity Distribution in the H2 Lyman, H2 Werner, O2 Schumann—Runge, N2 First Positive, N2 Vegard—Kaplan, and LiH (A—X) Systems Based on RKR Potentials

Franck—Condon factors, based on Rydberg—Klein—Rees (RKR) potential functions, were computed for the H2 and D2 Lyman and Werner, 16O2 and 18O2 Schumann—Runge, 14N2 and 14N15N first positive and Vegard—Kaplan, and 7LiH and 7LiD (A—X) band systems. While the vibrational intensity distribution within several band series differs considerably from that previously computed using Morse potentials, the isotope effect is very similar by both methods. Only for the hydrogen Lyman bands, even the isotope effect on Franck—Condon factors is markedly different by the two methods. The isotope ratio of Franck—Condon factors, q(7LiH)/q(7LiD), in a given band progression (e.g., v″=3), oscillates between very large (104) and very small (10−2) values at the minima between the locus of the Condon parabolas. The isotope effect on r centroids is negligible for transitions of oxygen and nitrogen molecules, but amounts to several percent for transitions of hydrogen and lithium hydride molecules. For the 16O2 Schumann—Runge absorpti...

[1]  O. Klein,et al.  Zur Berechnung von Potentialkurven für zweiatomige Moleküle mit Hilfe von Spektraltermen , 1932 .

[2]  E. Rosenbaum Potential Energy Curve of the Excited State of LiH , 1938 .

[3]  G. Herzberg,et al.  Spectra of diatomic molecules , 1950 .

[4]  G. Bethke Oscillator Strengths in the Far Ultraviolet. II. Oxygen Schumann-Runge Bands , 1959 .

[5]  R. W. Nicholls THE FRANCK–CONDON FACTOR (qν′ν′′) ARRAY TO HIGH VIBRATIONAL QUANTUM NUMBERS FOR THE SCHUMANN–RUNGE BAND SYSTEM , 1960 .

[6]  R. W. Nicholls Franck-Condon Factors to High Vibrational Quantum Numbers I: N2 and N2+ , 1961, Journal of research of the National Bureau of Standards. Section A, Physics and chemistry.

[7]  S. Prasad Electronic Transition Moment Variation in Schumann-Runge Band System of O2 Molecule , 1962 .

[8]  Joseph T. Vanderslice,et al.  COMPARATIVE STUDY OF EMPIRICAL INTERNUCLEAR POTENTIAL FUNCTIONS , 1962 .

[9]  W. R. Jarmain FRANCK–CONDON FACTORS FROM KLEIN–DUNHAM POTENTIALS FOR BANDS OF THE SCHUMANN–RUNGE SYSTEM OF O2 , 1963 .

[10]  R. Patch Vibrational Overlap Integrals for Ultraviolet Bands of H2 , 1964 .

[11]  R. Zare Calculation of Intensity Distribution in the Vibrational Structure of Electronic Transitions: The B3Π0+u—X1Σ0+g Resonance Series of Molecular Iodine , 1964 .

[12]  R. W. Nicholls Franck-Condon Factors for the H2 Lyman-Band System. , 1965 .

[13]  Joseph T. Vanderslice,et al.  Potential curves for the observed states of N sub 2 below 11 ev. , 1965 .

[14]  R. Battino,et al.  On the Calculation of Potential Curves by the Rydberg—Klein—Rees Method. I. Experimental Limitations, Extrapolation Procedures, and Applications to the Third‐Group Hydrides , 1965 .

[15]  R. C. Sahni,et al.  The effect of the vibration-rotation interaction on the Franck-Condon factors for the band system of the RbH molecule , 1966 .

[16]  M. Halmann Isotope Effects on Franck—Condon Factors. VI. Pressure‐Broadened Absorption Intensities of the Schumann—Runge Bands of 16O2 and 18O2 , 1966 .