[en] Theoretical study of the fine structure of the ⁴T_2g level of Cr³⁺ ions in LiCaAlF₆ is carried out. The spin-orbit splitting of the ⁴T_2g term in the intermediate field and the vibronic coupling with the e_g local mode of crystal lattice is found. The energies of the spin-orbit components of ⁴T_2g are found by means of diagonalization of the Eisenstein matrices using the parameters (Dq,B,C,ζ) corresponding to zero phonon line of ⁴T_2g→⁴A_2g emission. Dynamical Jahn-Teller effect in ⁴T_2g state, which quenches the total splitting of ⁴T_2g state by Ham effect, is taken into account. Using the Ham reduction factor, the Jahn-Teller stabilization energy has been calculated