EMPIRICAL FUNCTIONS FOR VIBRATIONAL ENERGY DIFFERENCES OF $H_{2}^{*} $

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1961

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Ohio State University

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A number of analytic functions other than power series have been used to represent the vibrational differences of the ground state of $H_{2}$. The best of these functions will be presented and the roles that the concepts of covalency and ionicity played in their choice will be discussed. Several of the functions give significantly better results than can be obtained with a power series. The best formulae indicate the existence of an unobserved v = 15 level.

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$^ *$This work was supported by a grant from the U. S. Air Force Office Scientific Research.
Author Institution: Department of Physics, Georgetown University

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