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Crystal from Crystal-field and Charge-transfer Mechanisms

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Studies of the g Factor for Cr

4+

Ion in Bi

4

Ge

3

O

12

Crystal from Crystal-field and Charge-transfer Mechanisms

Xiao-Xuan Wua,b,c, Wen-Chen Zhengb,c, and Sheng Tangb

aDepartment of Physics, Civil Aviation Flying Institute of China, Guanghan 618307, P. R. China

bDepartment of Material Science, Sichuan University, Chengdu 610064, P. R. China

cInternational Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110016, P. R. China

Reprint requests to Prof. W.-C. Zheng. Fax: +86-28-85416050; E-mail: zhengwc1@163.com.

Z. Naturforsch. 59a, 467 – 470 (2004); received April 28, 2004

The complete third-order perturbation formulas of the g factors gand gfor 3d2ions in tetragonal MX4clusters have been obtained by a cluster approach. In these formulas, in addition to contributions to the g factors from the crystal-field mechanism in the crystal-field theory, the contributions from the charge-transfer mechanism are included. From these formulas, the g factors gand gfor a Cr4+ ion in a Bi4Ge3O12crystal are calculated. The results agree with the observed values. The calculated

gi(i=or ⊥)value due to the charge-transfer is opposite in sign and about 20% greater than that due to the crystal-field mechanism. So, for the 3dnions having a high valence in crystals, a reasonable explanation of the g factors should take both the crystal-field and charge-transfer mechanisms into account.

Key words: Electron Paramagnetic Resonance; Crystal- and Ligand- field Theory;

Charge-Transfer Mechanism; Cr4+, Bi4Ge3O12.

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