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

Milton Walter Cole, T. T. Tsong

Research output: Contribution to journalArticle

42 Citations (Scopus)

Abstract

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
Volume69
Issue number1
DOIs
StatePublished - Dec 1 1977

Fingerprint

Vibrational spectra
vibrational spectra
surface reactions
Atoms
Wentzel-Kramer-Brillouin method
atoms
eigenvalues
coefficients

All Science Journal Classification (ASJC) codes

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

Cite this

Cole, Milton Walter ; Tsong, T. T. / Bound state vibrational spectrum of the 3-9 atom-surface interaction. In: Surface Science. 1977 ; Vol. 69, No. 1. pp. 325-335.
@article{12cb0f5fa6ff4e1cb9e8b8d2470e5a48,
title = "Bound state vibrational spectrum of the 3-9 atom-surface interaction",
abstract = "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 Schr{\"o}dinger 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.",
author = "Cole, {Milton Walter} and Tsong, {T. T.}",
year = "1977",
month = "12",
day = "1",
doi = "10.1016/0039-6028(77)90177-7",
language = "English (US)",
volume = "69",
pages = "325--335",
journal = "Surface Science",
issn = "0039-6028",
publisher = "Elsevier",
number = "1",

}

Bound state vibrational spectrum of the 3-9 atom-surface interaction. / Cole, Milton Walter; Tsong, T. T.

In: Surface Science, Vol. 69, No. 1, 01.12.1977, p. 325-335.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Bound state vibrational spectrum of the 3-9 atom-surface interaction

AU - Cole, Milton Walter

AU - Tsong, T. T.

PY - 1977/12/1

Y1 - 1977/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0003174762&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003174762&partnerID=8YFLogxK

U2 - 10.1016/0039-6028(77)90177-7

DO - 10.1016/0039-6028(77)90177-7

M3 - Article

AN - SCOPUS:0003174762

VL - 69

SP - 325

EP - 335

JO - Surface Science

JF - Surface Science

SN - 0039-6028

IS - 1

ER -