[en] The remarkable finding of this work is linear correlation between the critical temperature of superconducting transition and the room temperature full width at half-height of momentum distribution in the series of powder samples of high-temperature ceramic superconductors with various deficiency of oxygen contents. The correlation points to the existence of fundamental physical parameter of materials in all-temperature range, which is the crucial one for their insulator-metal-superconductor (IMSC) transition. we attribute this key parameter to the abrupt increasing and then the steady (due to the lowest mechanical relaxation) lattice compressive deformation(the sudden appreciable and stable jump in mechanical work-hardening of crystals after various treatments). The traces of this compression may be observable by different methods over a wide range of temperatures and used for the forecast of the parameters of technological interest for the new superconductors. (author)