Programs in Physics & Physical Chemistry
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|Manuscript Title: Fractional parentage coefficients for equivalent p shell and equivalent d shell electrons.|
|Authors: D.C.S. Allison|
|Program title: D SHELL C.F.P.|
|Catalogue identifier: ACQC_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 1(1969)16|
|Programming language: Fortran.|
|Computer: ICL 1907.|
|Operating system: QUBE.|
|RAM: 5K words|
|Word size: 24|
|Keywords: General purpose, Rotation group, Racach c.f.p..|
Nature of problem:
The subroutine CFPD evaluates the Racah coefficient of fractional parentage for equivalent d shell electrons.
Since any state of a d**n multiplet may be completely specified by the three quantum numbers V, L and S, it is possible to set up three two- dimensional arrays Vij, Lij and Sij, where the subscript i refers to the number of electrons and the subscript j refers to a label which denotes a particular allowed combination of V, L and S values. If the state in question is identified by the labels n and j1 then its parent state can be identified by the labels (n-1) and j2 where j2 refers to a particular allowed combination of V, L and S values for the d**n-1 configuration. The labels n, j1 and j2 may then be used to define a unique element of a table Tn(j1,j2) where n refers to a particular table j1 to a row index and j2 to a column index. This is the required fractional parentage coefficient.
If the state in question or its parent state is forbidden on account of an incorrect combination of V, L and S values then an erroneous value (in practice 9.9) is given to the fractional parentage coefficient. This may be replaced by an error statement if required. The program CFPD shares its long write-up with CFPP, a similar program for p shell coefficients of fractional parentage.
<< 1 second for one fractional parentage coefficient.
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