Bound state vibrational spectrum of the 3-9 atom-surface interaction

Milton W. Cole, T. T. Tsong

Research output: Contribution to journalArticlepeer-review

42 Scopus citations


The potential V(z) = C9 z9 - C3 z3 is a reasonable parametrization of the atom-surface interaction. We evaluate the discrete spectrum En of bound states for this potential with arbitrary coefficients C9 and C3. The resulting form in the WKB approximation is En = -D [1 - (n + l 2) L]6, where L depends on the mass and D is the well depth. We find that the exact solution of the Schrödinger equation can be written in the same form, with n shifted slightly by an amount δn, which we calculate. The results are applied to the case of He near a NaF surface, in which the calculated eigenvalue spectrum agrees well with experimental values.

Original languageEnglish (US)
Pages (from-to)325-335
Number of pages11
JournalSurface Science
Issue number1
StatePublished - Dec 1 1977

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Surfaces and Interfaces
  • Surfaces, Coatings and Films
  • Materials Chemistry


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