A method for the calculation of large numbers of dipole and quadrupole transition probabilities
Lawrence P. Shomo, United States. National Aeronautics and Space Administration, Langley Research Center
National Aeronautics and Space Administration, 1970 - Computers - 39 pages
A computer program is presented which selects allowed transitions and calculates dipole and quadrupole transition probabilities for transitions with LS coupling and no equivalent electrons, based on an extension of the Coulomb approximation formalism to quadrupole and higher multipole transitions. Absorption oscillator strengths or f-values calculated by (1) the self-consistent-field method, (2) the scaled Thomas-Fermi method, (3) the Coulomb approximation method, (4) the variational method, and (5) the effective charge method for singlet and triplet transitions in neutral helium are presented and compared. The Coulomb approximation f-values calculated with the present computer program are found to be in good agreement with the results obtained by the more sophisticated methods.
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1ST CARD absorption oscillator strength angular frequency angular momentum quantum APPENDIX atomic orbital angular atomic units binding energy Bohr radius CALL RACAH CAPL(I computer program Coulomb approximation f-values Coulomb approximation method Coulomb approximation results dimensionless dipole and quadrupole dipole transition effective charge method electron orbital angular final levels GO TO 17 GO TO 31 GO TO 50 individual electron orbital initial level Ith term IV1IdVD IV1IdVO IVNId IVWdOd Langley Research Center LLITT(I LS coupling momentum quantum number neutral helium NOSER number of Ith OPFVA orbital angular momentum PARITY(I principal quantum number printout QUADRUPOLE SELECTION RULES quadrupole transition probabilities radial factor RADIAL MATRIX ELEMENT radial transition integral reference 13 Rydberg constant sample input deck scaled Thomas-Fermi method SELECTION RULES APPLIED self-consistent-field method singlet spin quantum number Stewart and Rotenberg subroutine Thomas-Fermi ion Thomas-Fermi model total atomic orbital total atomic spin two-card sequence values from reference wave functions Wiese