Within the framework of our research into the crystal chemistry of lanthanides, this study is devoted to oxygen compounds of terbium, dysprosium, and holmium. From databases [1,2], 456 compounds were selected complying with the following conditions: (a) Ln atoms (Ln = Tb, Dy, or Ho) form LnO n coordination polyhedra; (b) the crystal structure was determined to R ≤ 0.1 ; and (c) the structures contain no randomly disordered Ln or O atoms. These compounds were found to contain 195, 191, and 184 crystallographically nonequivalent sorts of Tb, Dy, and Ho atoms, respectively. Whereas Dy and Ho are present only as Ln(III), in the case of Tb, 22 sorts of Tb(IV) atoms were also found. The full list of compounds is available from the authors: vologzhanina@fromru.com.The coordinates of hydrogen atoms in 104 compounds, which had not been determined by the authors of structural studies, were calculated at the first investigation stage using the HSite program [3] included in the structure-topological TOPOS package [4]. The coordination numbers (C.N.s) of all atoms were determined by the method of intersecting spheres [5], according to which any two atoms are considered to be chemically bonded if the common face of their Voronoi-Dirichlet polyhedra (VDP) is described by the I 4 , I 3 , or I 2 intersection. Terbium C.N.s were found to be 6-10, or 12, those of dysprosium vary from 6 to 10, and those of holmium are 6 to 9; in all three cases, the most frequently encountered value is 8. Using the TOPOS software [4], characteristics of the lanthanide VDP were calculated for all 456 compounds (Table 1) and statistical analysis of the results was carried out.In the structures of the compounds in question, the VDP of Ln atoms form in total 6490 faces. Of these, the method of intersecting spheres distinguished 4375 valence faces corresponding to Ln-O chemical bonds. In addition, another 25 faces with I 4 or I 2 type intersections correspond to Ln-Q contacts (Q = Li, Ba, Co, Zn, Cu or Mn, Table 2). For the Ln-Q bonds found, the interatomic distances are 0.02-0.49 Å shorter than the sum of the atomic or Slater radii of the atoms (in the case of BaCoHo 2 O 5 {65467} [17], the Ho-Co interatomic distance is equal to the sum of atomic radii but is shorter than the sum of the Slater radii of the elements), while the solid angles ( Ω ) of the faces range from 1.5 to 2.7%. Here and below, Ω are expressed in percent of the full solid angle, equal to 4 π steradian. Taking into account the above-mentioned Ln-Q contacts, island (bi-or trinuclear) and framework fragments consisting only of metal atoms can be distinguished in the structures. Since the presence of the Ln-Q bonds almost does not influence characteristics of the lanthanide VDP, only the C.N.s with respect to oxygen atoms were taken into account in all calculations.The remaining 2090 faces of the Tb, Dy, and Ho VDP belong to I 0 and I 1 type intersections and describe non-valence Ln···Z contacts. The greatest numbers of Ln···Z contacts was found for Z = O, H, Ba, and Cu (568, 323, 312, a...