Expressions for the dissociation energy of the Morse potential and the Lennardhyphen;Jones (2n,n) potential are derived in terms of lowhyphen;order mechanical constants of diatomic molecules. These expressions are related to a more general series expansion of the potential, and a new expression for the dissociation energy of a weakly bound diatomic is derived. This expression containsBersquo;agr;ersquo;and the power ofRminus;1which leads a longhyphen;range expansion of the potential. The expression is accurate to a few percent when compared to reliable experimental values and should be of value when only a limited number of spectral constants can be obtained from experiment.
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