Abstract The structure of 3 d 5 configuration ion in a trigonal field is theoretically determined on the basis of a 252 × 252 matrix of complete energy. The spectra of paramagnetic electron resonance and the optical absorption of the F e 3 + ion in sapphire crystal ( α − A l 2 O 3 ) have been calculated by diagonalizing the matrix of total energy. The obtained results are in good agreement with experimental observations. The strength of probability transitions between energy levels pairs are also established to show the possibility for achieving the inversion of the population in the fundamental state when applying the optical pumping mechanism to the crystal. The results based on the computed parameters of transition and on the maser effect equations show that a maser signal of a 31 GHz can be generated and that depends on the cryogenic design of the resonator.

中文翻译：

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α-Al2O3 中 Fe3+ 离子的吸光度和能级。应用于 31 GHz 微波激射器的光泵浦

摘要 三角场中3 d 5 构型离子的结构是基于252×252全能量矩阵理论上确定的。通过对总能量矩阵进行对角化，计算出顺磁电子共振谱和蓝宝石晶体中F e 3 + 离子( α - Al 2 O 3 )的光吸收谱。得到的结果与实验观察非常吻合。还建立了能级对之间概率跃迁的强度，以表明当将光泵浦机制应用于晶体时，在基本状态下实现粒子数反转的可能性。