Abstract
A detailed crystal-field splitting analysis is presented for the energy levels of Er3+(4f11) incorporated into Gd3Ga5O12 single crystals. Spectra are reported between 1600 and 350 nm and were observed at temperatures between 8 K and room temperature. It is most likely that Er3+ ions substitute for Gd3+ ions in cationic sites of D2 symmetry in the cubic garnet host. A parameterized model Hamiltonian including atomic and crystal-field terms is diagonalized over the entire electronic configuration of Er3+(4f11). The diagonalization of the total energy matrix accounts for the intrinsic J–J mixing between states described in terms of the basis set of SLJMJ wave functions. The resolved absorption spectra, representing some 120 transitions from the ground state, I415/2, to excited multiplet manifolds, L2S+1.J, are compared with calculated Stark levels. A final standard deviation of 5.3 cm−1 is obtained between 60 calculated and experimental Stark levels.
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