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Equivalent Quantum States in d n and d 5+n Electronic Configurations
Author(s) -
Langer J. M.
Publication year - 1973
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220550218
Subject(s) - homogeneous space , wave function , tetrahedron , physics , quantum number , generalization , spin (aerodynamics) , field (mathematics) , atomic physics , crystal (programming language) , crystallography , mathematics , chemistry , geometry , mathematical analysis , pure mathematics , thermodynamics , computer science , programming language
It is shown that for ligand fields in which the symmetries are subgroups of the full rotational group, the sequence and relative energies of the states with maximum spin are the same for d n and d 5+n (n ≦ 5) configurations. Possibility of the generalization of this theorem t o other 1 n and 1 21+1+n configurations is discussed. As an example, wave functions and relative energies for the crystal field d‐states in a tetrahedral environment are given.