s¹p¹ configurational energy levels in different hosts

The relationship between the energy level position, energy splitting of the s¹p¹ configuration of selected cations and a host was studied. Results indicated that the position of the A, B, and C bands of Sn²⁺ and the A and B bands of In⁺ and Tl⁺ decreased linearly with an increase in the environment factor (h_e) of the host. A corresponding empirical formula was determined. Calculated values for the A and B bands of the free-ions In⁺ and Tl⁺ were in good agreement with experimental results. The largest error was from the B band of Tl⁺ and the deviation ratio was only -7.34%. Spacings for the energy levels A, B, and C become smaller because high energy level energies drop faster as h_eincreases. By comparison, we found that the sensitivities of the A and B band energies of Sn²⁺, In⁺, and Tl⁺ to the host were different. The greatest change was observed for the Sn²⁺ ion and the In⁺ ion energy change was the smallest. More importantly, we found that the A, B, and C band energies splitting tendency for Sn²⁺, In⁺, and Tl⁺ also decreased as h_e increased even without splitting.