By simulating the electron paramagnetic resonance （EPR） and optical spectra on the basis of the 120 × 120 complete energy matrix, this paper determines the local lattice structure parameters R1 and R2 for MCl：V2＋ （M=Na, K, Rb） systems at 77K, 195 K and RT （room temperature 295 K or 302 K）, respectively. The theoretical results indicate that there exists a compressed distortion in MCl：V2＋ systems. Meanwhile, it finds that the structure parameters R1, R2 and ｜△R｜（ = R1 - R2） increase with the rising temperature. Subsequently, from the analysis it concludes that the relation of EPR parameter D vs. △R is approximately linear. Finally, the effects of orbital reduction factor k on the g factors for the three systems have been discussed.
A simple theoretical method is introduced for studying the interrelation between electronic and molecular structures.By diagonalizing the 120 × 120 complete energy matrices,the relationships between zero-field splitting （ZFS） parameter D and local distortion parameter △θ for Cr^3＋ ions doped,separately,in α- and β- alums are investigated.Our results indicate that there exists an approximately linear relationship between D and △θ in a temperature range 4.2-297 K and the signs of D and △θ are opposite to each other.Moreover,in order to understand the contribution of spin-orbit coupling coefficient ζ to ZFS parameter D,the relation between D and ζ is also discussed.
This paper presents the complete energy matrix of the 3d2system containing the electron-electron interaction, the ligand-fieldinteraction, the spin-orbit coupling interaction, and the Zeeman interaction, in which the optical spectra and g-factor of V3+andTi2+ions in the series of tetrahedral AIIBVI(AII=Zn, Cd, BVI=S, Se, Te) semiconductor materials are determined. In the inves-tigation of the optical and magnetic properties of these transition-metal ions in the tetrahedral coordination complexes, wecompared the data obtained from the transition-metal ions in the tetrahedral coordination complexes with those obtained fromthe corresponding ions in the octahedral ones, and found that the tetrahedral complexes have weaker crystal-field strength, in-verse energy level ordering and stronger covalence effect.
