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.
