“…In order to qualitatively describe the temperature-dependent energy-transfer processes that take place in the Tb 3+ -doped systems, rate equations describing the population of each energy state of Tb 3+ ions were analyzed. We considered the forms of the state equations presented in eqs 1–8 for levels n i , where i = 1, 2, 3, 4, 5, 6, 7, and 8 correspond to the terms 7 F 6 , 7 F 5 , 7 F 4 , 7 F 3 , 7 F 2 , 7 F 1 , 7 F 0 , and 5 D 4 , respectively . The proposed equations cover the generation of transitions matched to GSA ( 7 F 6 → 5 D 4 ) or ESA ( 7 F 5 → 5 D 4 ) induced with a laser of an appropriate excitation wavelength (485 and 543 nm, respectively; Table ).…”