Restricted Validity of the Two-State Model Describing a Vibronic EPR g-Factors Averaging in Cs$\text{}_{2}$Zn(SO$\text{}_{4}$)$\text{}_{2}$·6H$\text{}_{2}$O Tutton Salt Crystals Doped with Cu$\text{}^{2+}$ Ions

Single crystals and powder EPR spectra of Cu$\text{}^{2+}$ ions in Cs$\text{}_{2}$Zn(SO$\text{}_{4}$)$\text{}_{6}$·6H$\text{}_{2}$O were recorded in the temperature range of 4.2-300 K and the g-factor temperature variations were determined. The g$\text{}_{z}$ and g$\text{}_{y}$ have the values of 2.443 and 2.134, respectively, at the rigid lattice limit below 20 K, and then continuously tend to an average value on heating. This vibronic averaging produced by reorientations of Cu(H$\text{}_{2}$O)$\text{}_{6}$-complexes between Jahn-Teller distorted octahedral configurations is described in terms of a two-state Silver-Getz model which is known as a good model for diamagnetic non-ammonium Tutton salts. We found, however, that this model is only a crude approximation in Cs$\text{}_{2}$Zn(SO$\text{}_{4}$)$\text{}_{6}$·6H$\text{}_{2}$O below 150 K. Above this temperature the model works better and describes the vibronic dynamics between the two lowest energy potential wells in the adiabatic potential surface differing in the energy of δ$\text{}_{12}$=318(9) cm$\text{}^{-1}$=3.7 kJ/mol.