The free Gibbs energy, enthalpy, and entropy of formation of silicon-rich holmium silicides HoSi 2-a (HoSi 1.82 ), HoSi 2-b (HoSi 1.67 ), Ho 3 Si 4 , and HoSi from solid components are determined by measuring electromotive forces between 710 and 930 K. The thermodynamic functions of formation of HoSi 1.67 and Ho 3 Si 4 from individual components are determined for the first time.The phase equilibria in holmium-silicon alloys over the entire range of compositions have been examined with metallography, x-ray diffraction, and differential thermal analysis [1][2][3][4]. It has been established that -b disilicides form with different degrees of silicon lattice imperfection and crystal structures. The two disilicides form peritectically: HoSi 2-a at 1290°C and HoSi 2-b at 1620°C. The Ho 4 Si 5 silicide forms peritectoidally from two solid phases (HoSi and HoSi 2-b ) at 1305°C.With 50 at.% Si, FeB-type orthorhombic holmium monosilicide forms, which melts congruently at 1860°C.Note that the composition and ranges in which holmium disilicide phase exists still have to be completely determined. In this paper, we accept the conclusion [5] that the homogeneity range of HoSi 2-b at 1000°C is within HoSi 1.67-1.60 , which tends to HoSi 1.67 with decreasing temperature. According to [2], the other HoSi 2-a disilicide also has a small homogeneity range rich in silicon with the boundary at HoSi 1.82 . The composition of another silicon-rich holmium silicide, which is referred to as "Ho 4 Si 5 " in [1][2][3][4], has been ascertained in [6] and defined as Ho 3 Si 4 and its own structural type has been established. The lattice parameters of Ho 4 Si 5 determined in [1-4] and those of Ho 3 Si 4 reported in [6] agree well with each other. The solubility of holmium in solid silicon is very low (<1 at.%).The data on the thermodynamic properties of holmium-silicon alloys are limited to the standard formation enthalpies of HoSi 2-a (a = 0), HoSi, and Ho 5 Si 3 [7] and mixing enthalpies of Ho-Si over a range of diluted solutions (0 ≤ x ≤ 0.4) at 1827 K [8,9]. There are also calorimetric data on the standard enthalpy and entropy of HoSi 2-b (b = 0.33) [10] and on the temperature dependences of its enthalpy, entropy, and reduced Gibbs energy between 298. 15 and 2007 K [11].