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By Per-Olov Lowdin


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JOB,V. , and INNES, K. K. (1969). J. Mol. Spectrosc. 30, 365. KIRTMAN, B. (1964). J. Chem. Phys. 41, 775. , and MORONO, Y. (1970). J. Mol. Spectrosc. , SAKURAI, 231. LAMB, D. (1966). Ph. D. , Oxford, England. LIDE,D. , and MANN,D. E. (1957). J. Chem. Phys. 27, 874. LONGUET-HIGGINS, H. C. (1963). Mol. Phys. 6,445. H. H. (1968). J . Chem. Phys. 49,1510. , and GUNTHARD, MILLS,I. N. (1971). Mol. Phys. 20, 127. Serre 36 MUETTERTIES, E. L. (1970). Accounts Chem. Res. 3, 266. MYERS,R. , and WILSON,E. , JR.

11. Genealogical Spin Functions. A. Yamanouchi-Kotani Functions . B. Serber Functions . . C. Comparison of YK and Serber Functions . . . D. Practicality of Spin-Coupling Techniques . 111. Spin Functions by Group-Theoretical Techniques . . . A. Wigner Operator Bases for Orthogonal Irreps of S, . B. Minimal Left Ideals and Primitive Idempotents . C. Young Diagrams, Tableaux, and Operators . . D. Electronic Spin Eigenfunctions by Means of Young Operators . E. Connection between Wigner and Young Operators .

S(e' €3 e ) = J. Serre 34 The character associated with the element s is +2. An element glg2’ (gl E D 3 , g2’E D3‘)operates by x2 0 x2‘; then for this element the character is the same as that in the representation x9 ”. If we look for the character associated with an element glg2’swe have e Qe S e Q el J el Q e S e Qe el Q e e Q el e‘ Q e’ el Q e’ Let us put g,e = ae + be‘, g,e‘ = ce de’, + 5182’ gle Q g2’e, 8182’ glef Q g21e, 5182’ g,e Q g21e’, 8152’ gle’ Q g2’ef. g2‘e= ae g2’e’= ye + pel, + 6e’.

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