Energy Spectra,g Factors and Their Pressure—induced and ／or Thermal Shifts of SrTiO3：Cr^3＋ and SrTiO3：Mn^4＋ Ⅱ：Pressure Effects on Ground_State g Factor and Splittings of t2^32E and t2^34A2 of Sr

By using the wavefunctions obtained from diagonalizing the complete d^3 energy matrix at normal and various pressures,the g factor of the ground state of SrTiO3:Cr^3 and its pressure-induced shift have been microscopically calculated.Only by taking the local strains around Cr^3 in SrTiO3:Cr^3 (which are about twice the bulk ones)and corresponding P-χ dependence,can we obtain a good agreement etween the calculated result of pressure-induced shift of ground-state g factor and the experimental one.The physical origins of this pressure-induced shift have been explained.It is found that the change of Dq^-1 with pressure makes main contribution to the pressure-induced shift of ground-state g factor of SrTiO3:Cr^3 .By using the wavefunctions obtained from diagonalizing the complete d^3 energy matrix at normal pressure,the relevant matrix elements and accordingly strain-induced splittings of t2^32E and t2^34A2 of SrTiO3:Cr^3 have been calculated.The important results of Yc.Zc,Pc and Qc have also been evaluated.It is the admixtures of basic wavefunctions resulted from the spin-orbit interaction and /or Coulomb interaction and /or Kramers degeneracy that make the strain-induced splittings of the levels nonzero.It is found that there are nonvanishing matrix elements of operators T2ξ between wavefuncgtions with positive Ms and those with negative Ms′ and those with negative ms′,which have important effects on the strain-induced splittings of the levels.

Energy Spectra,g Factors and Their Pressure-Induced and/or Thermal Shifts of SrTiO_3:Cr^{3+} and SrTiO_3:Mn^{4+} II: Pressure Effects on Ground-State g Factorand Splittings of t^3_2{}^2E and t^3_2{}^4A_2 of SrTiO_3:Cr^{3+}

By using the wavefunctions obtained from diagonalizing thecomplete d³ energy matrix at normal and variouspressures, the g factor of the ground state ofSrTiO₃:Cr³⁺ and its pressure-induced shifthave been microscopically calculated. Only by taking the localstrains around Cr³⁺ inSrTiO₃:Cr³⁺ (which are about twice the bulkones) and corresponding P-χ dependence, can we obtain a goodagreement between the calculated result of pressure-induced shiftof ground-state g factor and the experimental one. The physicalorigins of this pressure-induced shift have been explained. It isfound that the change of Dq^-1 with pressure makes maincontribution to the pressure-induced shift of ground-state gfactor of SrTiO₃:Cr³⁺. By using thewavefunctions obtained from diagonalizing the completed³ energy matrix at normal pressure, the relevantmatrix elements and accordingly strain-induced splittings oft₂³²E andt₂³⁴A₂ ofSrTiO₃:Cr³⁺ have been calculated. Theimportant results of Y_c, Z_c, P_cand Q_c have also been evaluated. It is the admixturesof basic wavefunctions resulted from the spin-orbit interactionand/or Coulomb interaction and/or Kramers degeneracy that make thestrain-induced splittings of the levels nonzero. It is found thatthere are nonvanishing matrix elements of operatorsT₂ξ, T₂η and T₂ζ betweenwavefunctions with positive M_s and those with negativeM_s', which have important effects on the strain-inducedsplittings of the levels.