Energy Levels, Wave Functions, Dipole and Quadrupole Transitions of Fe+++ Ions in Sapphire.

ABSTRACT

A computation is made of energy levels, wave functions and transition probabilities of the Fe3+ ion in Al2O3. The crystal field parameters used were those determined by Symmons and Bogle at 4 K. The magnetic field direction is described by the angles θ and φ indicating the directions with respect to and around the c axis of the crystal. The values of θ go from 0 to π/2 with π/12 intervals, the angles φ are 0 and 2π/3 corresponding to the two nonequivalent sites of the crystal. The transition probabilities are given for dipole radiation in three polarization directions and for ultrasonic work the six components of the quadrupole transitions were computed.