Common nature of diatomic systems

Abstract
The existence of an approximate recursion relation among the expansion coefficients in a modified Dunham expansion of potential energy-distance relations has been directly verified for diatomic molecules. The recursion relations uniquely determine the functional structure of diatomic potentials, which provides a sound physical basis for the proposition of a ‘‘universal’’ diatomic potential reported recently [Phys. Rev. A 42, 6497 (1990)].