Length and velocity matrix elements in quadrupole transition calculations (for transitions in He and Li+)

M. Cohen*, R. P. McEachran, D. Rosenthal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

Electric quadrupole multiplet strengths have been calculated for a large number of transitions in He and Li+ using analytical orbital wavefunctions of frozen core type. Very good agreement between length and velocity forms of the transition matrix element is obtained when the orbitals have the correct asymptotic form. The velocity form is far less sensitive to small changes in the orbitals than is the length form. The bound-state contributions to the quadrupole polarizabilities of the ions He through B +3 have been estimated from 1S-1D multiplet strengths, and it is concluded that the continuum contributions are very large.

Original languageEnglish
Article number013
Pages (from-to)184-192
Number of pages9
JournalJournal of Physics B: Atomic and Molecular Physics
Volume5
Issue number2
DOIs
StatePublished - 1972

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