Assignments of the optical band positions and theoretical calculations of the spin-Hamiltonian parameters for the tetragonal W5+ octahedral clusters in tungsten oxide (WO3)-based glasses

The optical band positions of W5+ octahedral clusters (WO6)7− in tungsten oxide (WO3)-based glasses are reassigned and suggested. Based on this, the spin-Hamiltonian parameters (g factors g//, g⊥ and hyperfine structure constants A//, A⊥) of these W5+ clusters are calculated from the high-order perturbation formulas based on the two-mechanism model. In the model, besides the contributions due to crystal-field (CF) mechanism in the extensively-used CF theory, the contributions owing to charge-transfer (CT) mechanism (which are often omitted) are also included. The calculated results are in reasonable agreement with the experimental values and the signs of hyperfine structure constants Ai are suggested. The results are discussed.