Abstract
The performance of simple three-parameter potential functions in predicting the inner branches of known diatomic potentials is tested for 35 diatomic molecular states. The Varshni III potential outperforms the Morse and Rydberg functions when the spectroscopic Re, ωe, and De values are used to define the potential parameters, but all three functions perform comparably well when Re, ωe, and ωexe are used. In the latter case the 35 potentials show an average absolute value of about 0.6% for the maximum relative error. Keywords: diatomic molecules, potential energy curves.
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