Hierarchical fitting and scaling models for rotationally inelastic cross sections

Thomas G. Kreutz, Herschel Rabitz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A new method of scaling inelastic cross sections is presented which uses an intermediate-level parametrization of the collision dynamics. By expressing the scattering matrix as exp[-iB] and approximating B with a parametrized functional form, this procedure yields a unitary scaled S matrix and incorporates infinite-order rotational coupling into the scaled results. The inclusion of high order collision dynamics enables the scaled cross sections to exhibit physical behavior which is substantially more realistic and flexible than that allowed by traditional fitting methods. The intermediate level scaling procedure accurately produces complete matrices of rotationally inelastic cross sections for He-HD scattering generated from subsets of input cross sections.

Original languageEnglish (US)
Pages (from-to)1701-1710
Number of pages10
JournalThe Journal of chemical physics
Issue number3
StatePublished - 1989

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy
  • Physical and Theoretical Chemistry


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