“…According to this method, the 5 D 0 → 7 F 1 MD and 5 D 0 → 7 F 2,4,6 ED transitions are used for calculating the Ω λ parameters
33 . It is known that the transition probability of the 5 D 0 → 7 F 1 allowed MD transition is calculated by following expression:
19 where J is the total angular momentum of the 5 D 0 state ( J = 0), ν is the energy of the 5 D 0 → 7 F 1 transition, n is the refractive index of host matrix (refractive index of GdPO 4 was 1.97
33 ), and S MD is magnetic dipole line strength which depends only on rare earths and is almost independent of the compound
22 . Thus, the A MD ( 5 D 0 → 7 F 1 ) parameter of GdPO 4 :Eu 3+ can obtain through the following relationship:
where A 0MD and n 0 are the transition probability and refractive index of any published materials.…”