[1]  Abragam A, Bleaney B. Electron Paramagnetic Resonance of Transition Ions[M]. Oxfork: Clarendom, 1986.

[2]  Rudowicz C, Misra S K. Spin-Hamiltonian formalisms in electron magnetic resonance (EMR) and related spetroscopies[J]. Appl Specrosc Rev, 2001, 36(1): 11-63.

[3]  Rudowicz C. Concept of spin Hamiltonian, forms of zero-field splitting and electronic Zeeman Hamiltonian and relations between parameters used in EPR, A critical review[J]. Magn Reson Rev, 1987, 13(1): 1-89.

[4]  Yu W L. Net-charge-compensation effects on the crystal field and the spin Hamiltonian for the Fe³⁺ ions at the K^+-vacancy sites in Fe³⁺
: KZnF₃ and Fe³⁺: KMgF₃ crystals[J]. Phys Rev B, 1995, 52(6): 4 237-4 244.

[5]  Zhao M G, Xie L H. Ligand field treatment for the electronic levels of Cr²⁺ ion in Ⅱ-Ⅵ compound of ZnS[J]. Materials Science and Engineering B, 2000, 74: 72.

[6]  Yang Z Y. Theoretical investigation of the electron paramagnetic resonance parameters and the crystal lattice defects of the trigonal symmetry in RbCdF₃: Cr³⁺[J].  Appl Magn Reson, 2000, 18: 455-461.

[7]  Yang Z Y, Rudowicz C, Qin J. The effect of disorder in the local lattice distortions on the EPR and optical spectroscopy parameters for a new Cr³⁺ defect center in Cr³⁺: Mg²⁺: LiNbO₃[J]. Physica B, 2002, 318: 188-197.

[8]  Li Z M, Sun W L. Theoretical investigation of EPR parameters and lattice distortion in alpha-LiIO₃ crystals doped with Fe³⁺ ions[J].J Phys Chem Solids[J]. 1996, 57(11): 1 673-1 675.

[9]  Xie Lin-hua, Hu Ping, Zhao Min-guang(谢林华，胡萍，赵敏光). Paramagnetic g factor of ZnS∶Co²⁺ crystal (ZnS : Co²⁺晶体的顺磁g因子研究)[J]. Chinese J Magn Reson(波谱学杂志), 2001, 18(1): 7-11.

[10]  Yang Zi-yuan, Tai Chi-ming, Zheng Jun-bo(杨子元，邰持明，郑俊博). An investigation for the ZFS parameters of the ⁴A₂ gound sta
te and the crystal lattice distortion of the trigonal symmetry in ZnAl₂O₄ : Cr³⁺(ZnAl₂O₄ : Cr³⁺晶体⁴A₂基态ZFS及其三角晶格畸变研究)[J]. C
hinese J Magn Reson(波谱学杂志), 1999, 16(4): 325-330.

[11]  Yu W L, Zhang X M, Yang L X, et al. Spectroscopic Properties of Cr³⁺ ions at the defect sites in cubic Fluoroperovskite crystal[J]. Phys Rev B, 1994, 50: 6756-6764.

[12]  Yeung Y Y, Rudowicz C. Ligand field analysis of the 3d^N ions at orthorhombic or higher symmetry sites[J]. Computers and Chemistry, 1992, 16: 207-216.

[13]  Macfarlane R M. Zero field splitting of t³₂ cubic terms[J]. J Chem Phys, 1967, 47(6): 2 066-2 073.

[14]  Macfarlane R M. Perturbation methods in the calculation of Zeeman inter actions and magnetic dipole line strengths for d³ trigonalcrystal spectra[J]. Phys Rev B, 1970, 1(3): 989-1 004.

[15]  Yang Zi-yuan, Wang Jun-zhong, Duan Xu-chao(杨子元，王俊忠，段旭朝)Theoretical investigation for the crystal lattice distortion and the SH parameters of the ground state in Cr³⁺: MgAl₂O₄ Crystal (掺杂晶体Cr³⁺: MgAl₂O₄晶格畸变及基态自旋哈密顿参量的理论研究)[J]. Chinese Journal of Synthetic Crystals(人工晶体学报), 1999, 28(3): 239-243.

[16]  Wybourne B G. Spectroscopic Properties of Rare Earth[M]. New York: Wiley, 1965.

[17]  Morrison C A. Crystal Fields for Transition-Metal Ions in Laser Host Materials[M]. Berlin: Springer-Verlag, 1992.

[18]  Yu W L, Rudowicz C. Comprehensive approach to the zero-field splittingof ⁶S-state ions: Mn²⁺ and Fe³⁺ in fluoroperpvsites[J]. Phys
 Rev B, 1992, 45: 9 736-9 748.

[19]  Yang Zi-yuan(杨子元). Theoretical studies of the full configuration EPR parameters for a ⁴A₂(3d₃) state ion in trigonal crystal field
(三角晶场中⁴A₂(3d₃)态离子全组态EPR理论研究)[J].  Chinese J Chem Phys(化学物理学报), 2000, 13(2): 190-196.

[20]  Yang Zi-yuan(杨子元). An investigation for the EPR parameters and the substitution site of Cr³⁺ impurities in LiTaO₃: Cr³⁺ crystal (LiTaO₃: Cr³⁺晶体中Cr³⁺离子占位及其EPR参量的理论研究)[J]. Chinese Journal of Synthetic Crystals(人工晶体学报), 1998, 27(4): 315-320.

[21]  Horie H. Spin-spin and spin-other-orbit interaction[J].  Prog Theor Phys, 1953, 10(3): 296-308.

[22]  Malli G. J Spin-other-orbit interaction in many-electron atoms[J]. J Chem Phys, 1968, 48(3): 1 088-1 091.

[23]  Blume M, Watson R E. Theory of spin-orbit coupling in atoms II Comparison of theory with experiment[J].  Proc Roy Soc (London), 1963, A271: 565-578.

[24]  Fraga S, Karwowski J, Saxena K M S. Handbook of Atomic Data [M]. Amsterdam-Oxford-New York: Elsevier Scientific Publishing company, 1976.

[25]  Yu Wan-lun. Microscopic interpretation of the zero-field splitting parameters of transition-metal ions in crystals I: an effective Hamiltonian theory[J]. Journal of Sichuan Normal University, 2002, 25(6): 606-614.

[26]  Trees R E. Spin-spin interaction[J]. Phys Rev, 1951, 82(5): 683-688.

[27]  Mabbs F E, Collison D. Electron Paramagnetic Resonance of d Transition Compounds[M]. Amsteram-London-New York: Elsevier, 1992.

[28]  Silver B L. Irreducible Tensor Methods[M]. New York: Academic Press,1976.

[29]  Rudowicz C, Yeung Y Y, Yang Z Y, et al. Microscopic spin Hamiltonian approaches for 3d₈ and 3d₂ ions in a trigonal crystal fieldperturbation theory methods versus complete diagonalization methods[J]. J Phys: Condens Matter, 2002, 14: 5 619-5 636.

[30]  Wood D L, Imbusch G F, Macfarlane, et al. Optical of ions Spinels[J]. J Chem Phys, 1968, 48(11): 5 255-5 263.