A two-isotope higher-order RKR-type inversion procedure

Carey Schwartz, Robert J. Le Roy

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


The Rydberg-Klein-Rees (RKR) method is a valuable everyday tool for determining diatom potential energy curves. However, the RKR method is based upon the first-order WKB approximation, and while in most cases the potential curves it yields are adequate, there exist situations in which their deficiencies are unacceptable. This work addresses the above problem by presenting and testing a new higher-order, RKR-like inversion procedure which is exact within the third-order WKB approximation. The new method relies upon the existence of data for two isotopes. The turning point expressions obtained in the new method have exactly the same structure as the ordinary RKR expressions, and the procedure requires no iteration. Tests for two well-defined model problems show that the present method can yield potentials which are more accurate than those obtained from first-order RKR calculations, independent of whether or not the latter includes the widely used Kaiser correction.

Original languageEnglish (US)
Pages (from-to)3996-4001
Number of pages6
JournalThe Journal of chemical physics
Issue number9
StatePublished - 1984

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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