Hyperfine Interaction For 1^N Configuration Metal Coordination Compounds Ⅰ. Weak-Field Coupling Scheme

The hyperfine interaction of metal coordination compounds with arbitrary symmetry G₂ and arbitrary electron configuration l^N involving quasi-atomic shells is treated according to a generalized weak-field model in ligand field theory. The matrix elements of the hyperfine operator and its spin-Hamiltonian of magnetic-dipole type are formulated by use of the Wigner-Racah algebra for a chain of compact groups SU（2）⊃G₁⊃G₂. And the theoretical formulae of hyperfine coupling constant A are given.