碱金属卤化物中的偏心杂质：重取向、电极化的强度及与F心的配对。II。面内旋转和极化率
Off-center impurity in alkali halides: reorientation, electric polarization and pairing to F center. II. In-plane rotation and polarizability
摘要：
由于其固有的二维特性，离中心杂质最邻近F中心的正离子位的受阻旋转的本征值方程是众所周知的Mathieu方程。我们提出了一个概述的文献数据马蒂厄的周期函数提供精确的解决方案的Li+ reorientational问题。我们比较他们与底井近似的解决方案，谐波振荡器功能在一个有效的振动频率重整化的第一和第三阶电子模式耦合。最后，我们讨论了一个偏离中心的杂质的面内反转极化率假设形成一个偶极偶极耦合附近的F中心。
英文摘要：
Because of its inherent 2-D character, the eigenvalue equation for the hindered rotation around a normal cation site of an off-center impurity nearest-neighboring an F center is the well-known Mathieu equation. We present an overview of literature data on Mathieu's periodic functions providing exact solutions to the Li+ reorientational problem. We compare them with bottom-well approximating solutions by harmonic-oscillator functions at an effective vibrational frequency renormalized by both first- and third- order electron-mode coupling. We finally discuss the in-plane inversion polarizability of an off-center impurity assumed to form a dipole-dipole coupling with a nearby F center.
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