Measurements were made of the rate constants of transfer of the excitation energy by the interaction between Er 3+ ions excited to 4 I 11/2,13/2 states in Y 3 Al 5 O 12 crystals. The constants were used to determine the influence of the cooperative processes on lasing of an Y 3 Al 5 O 12 :Er 3+ crystal as a result of the 4 I 11/2 – 4 I 13/2 transition.
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Zhekov et al. (1986) studied this question.