Eigenstates and radiative transition probabilities for Tm³⁺ (4f¹²) in phosphate and tellurite glasses

Electronic wavefunctions of Tm³⁺ in intermediate coupling were obtained and used to calculate the U^(λ) matrix elements between all possible states of the 4f¹² configuration. The Judd-Ofelt intensity parameters Ω_λ obtained for Tm³⁺ in phosphate and tellurite glasses were used in conjunction with the U^(λ)'s to calculate the forced electric dipole line strengths. The total electric and magnetic transition probabilities are calculated. The entire theoretical spectrum involving the ground and excited levels (from 129 nm to 16447 nm) is given.