Compositions of condensed matter are calculated using thermodynamic modeling methods taking into account the existence of solid and liquid solutions from TiO 2, TiO, Ti 2 O 3, Ti 3 O 5 and Ti 4 O 7, as well as partial pressures {TiO 2}, {TiO}, {Ti}, {O 2}, {O}, formed by heating the starting titanium dioxide in argon at a pressure of 9.8066 x; 10 -2 MPa in the temperature range 300 - 2485 K. The results obtained can be useful in describing chemical transformations occurring under conditions of high-temperature synthesis of complex types of ceramics with the participation of titanium dioxide, and in analyzing their composition. Tab. 1, ill. 3, bibliography: 8 titles.