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The aim of this paper is to calculate the equilibrium displacements of the ^4T_{2g} potential surface minimum from the ground state along the a_{1g} and e_g Jahn-Teller active modes for the octahedral [MnF_6]^{2-} cluster obtained by doping Mn^{4+} ions in Cs_2SiF_6 host crystal. The equilibrium displacements in normal and Cartesian coordinates were estimated from force constants of [MnF_6]^{2-} cluster and Huang-Rhys factors associated with the Jahn-Teller stabilization energy. A net equatorial expansion and an axial stretching of the geometry of the [MnF_6]_{2-} cluster in first ^4T_{2g} excited state, as combined effect of the a_{1g} and e_g displacements, were demonstrated.
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