Spectroscopy of XY3Z (C3v) radicals with an odd number of electrons: A tensorial formalism adapted to the SU(2) Ci Civ(S) C3v(S) group chain - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Molecular Spectroscopy Année : 2006

Spectroscopy of XY3Z (C3v) radicals with an odd number of electrons: A tensorial formalism adapted to the SU(2) Ci Civ(S) C3v(S) group chain

Résumé

A tensorial formalism adapted to the case of XY(3)Z symmetric tops with half integer angular momenta is proposed as an extension of the formalism for the group chain O(3) C-infinity v superset of C-3v developed in a recent paper [A. El Hilali, V. Boudon, M. Loete, J. Mol. Spectrosc. 234 (2005) 113-121]. We use the chain SU(2) circle times C-I superset of D C-infinity v(S) superset of C-3v(S), where G(S) (G being C-infinity v or C-3v) is the G point group with its spinorial representations. Coupling coefficients and formulas for the computation of matrix elements of the tensor operators are derived for this chain. A deduction of coupling coefficients (Clebsch-Gordan, 6C, 9C, ...) and similar formulas is proposed for the group C-3v(S) itself.

Dates et versions

hal-00437073 , version 1 (29-11-2009)

Identifiants

Citer

A. El Hilali, Vincent Boudon, Michel Loete. Spectroscopy of XY3Z (C3v) radicals with an odd number of electrons: A tensorial formalism adapted to the SU(2) Ci Civ(S) C3v(S) group chain. Journal of Molecular Spectroscopy, 2006, 239, pp.41-50. ⟨10.1016/j.jms.2006.05.016⟩. ⟨hal-00437073⟩
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