Analyses of molecular spectra and compression data from crystals show
that a single function successfully describes the dependence on intera
tomic separation of both the potential energy of diatomic molecules an
d the cohesive binding energy of condensed matter. The empirical findi
ng that one function describes interatomic energies for such diverse f
orms of matter and over a wide range of conditions can be used to exte
nd condensed-matter equations of state but warrants further theoretica
l study.