Ti–V–Cr alloys are hydrogen storage materials, but their characteristics, which are important for practical applications, depend strongly on composition. The search for an optimal composition with given characteristics requires the support of theoretical calculations of the electronic structure of alloys and their
hydrides. In this paper, the interstitial energy and energy of hydrogen dissolution in the hydride of a ternary disordered Ti0.33V0.27Cr0.4H1.75 alloy with a face-centered cubic lattice were calculated within the framework of the density functional theory using the pseudopotential method. The deviation of the dissolution energy distribution from the Gaussian distribution is shown. Based on the data obtained for a particular hydride, the energy distributions of hydrogen dissolution in a number of hydrides of alloys (Ti0.8Cr)1 – xVx with x = 0.9, 0.8, 0.7, and 0.6 have been derived. A correlation was found between the theoretically calculated width of the energy distribution of hydrogen dissolution and the experimental slope of the pressure “plateau.”