The possibility to consider the anharmonicity of oscillations of quasilattice particles and the nonlinearity of internuclear interaction forces in glass halcogenides Ge - As - S and in glasses of the Cd - As system is regarded within the fluctuation free volume theory. The originality of the structure of a glass lattice frame in the Ge - As - S system causes other ratio, than that in silicate glasses, of the fluctuation free volume share and Gruneizen parameter: f_g increases with decrease in the anharmonicity of oscillations of the glass lattice. In glasses of the system Cd - As, symbatic changes of f_g and gamma_L occur. A certain connection of the fluctuation free volume theory parameters with the average coordination number is observed. The results obtained agree with conclusions of the model of "soft" configurations about a minor role "of soft configurations" in noncrystalline materials with Z_m = 4.

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