Abstract
A method is suggested for testing the reliability of the JWKB technique for the study of diatomic vibrations and the construction of potential functions. The vibrational isotope shifts are calculated from the first-order, semiclassical quantization condition and compared with those determined experimentally. Deviations which may be attributed to failure of the first-order approximation are then used to calculate the second-order correction to the phase-integral quantization condition and the potential function constructed by RKR techniques. The technique is applied to ICl and IBr where accurate data exist and the results indicate that the first-order approximation is remarkably accurate to high vibrational excitation but may fail in the energy range very close to dissociation.
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