STUDIES OF THE SPIN-HAMILTONIAN PARAMETERS AND OPTICAL SPECTRUM BAND POSITIONS FOR THE Yb3+ ION IN Tm3Al5O12 CRYSTALS

Abstract

The spin-Hamiltonian parameters (g factors gi and hyperfine structure constants Ai, where i = x, y, z) and optical spectrum band positions of the Yb 3+ ion in the rhombically-distorted Tm 3+ site of Tm 3 Al 5 O 12 garnet crystal are calculated by a complete diagonalization (of the energy matrix) method, in which the Zeeman and hyperfine interaction terms are also included in the conventional Hamiltonian. From the calculations, the observed spin-Hamiltonian parameters of Tm 3 Al 5 O 12: Yb 3+ are explained reasonably and the optical spectrum band positions are suggested. The rationality of these suggested optical spectrum band positions is discussed by comparing them with the observed values of Yb 3+ ions in similar aluminum garnet ( Yb 3 Al 5 O 12, Y 3 Al 5 O 12 and Lu 3 Al 5 O 12) crystals.