A POSSIBLE OPTICAL PHONON DECAY OF LOW-LYING ELECTRONIC CRYSTAL-FIELD STATES OF TmPO4 CRYSTAL

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Abstract
We present in this paper an optical phonon [Formula: see text] decay mechanism to explain the disappearance of two electronic lines at 248 cm −1 (Γ1) and 254 cm −1 (Γ4) in experimental electronic Raman scattering spectrum of TmPO 4 crystal. The [Formula: see text] phonon model of primitive cell is described in detail. The derivation and calculation of electrical-phonon coupling crystal-field Hamiltonian [Formula: see text] and the calculation of coupling matrix elements [Formula: see text] between the initial and final electron-phonon states are outlined and demonstrated. The various channels of this decay are discussed and estimated.