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Crystal Lab › Prototype structures › Tetragonal

Ho₁₁Ge₁₀

Tetragonal · space group I4/mmm (No. 139) · Pearson tI84

Symmetry elements and Wyckoff positions (interactive)

Ho₁₁Ge₁₀ in I4/mmm

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit cell

Lattice constants
a = 10.790 Å, b = 10.790 Å, c = 16.230 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1889.6 ų
Atoms in the conventional cell
84 (Ge 40, Ho 44)
Formula units Z
4
Pearson symbol
tI84 — tetragonal, body-centred lattice, 84 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ge1Ge4d40.00000.50000.2500
Ge2Ge4e40.00000.00000.1129
Ho6Ho4e40.00000.00000.3394
Ge3Ge8h80.38030.38030.0000
Ho7Ho8h80.17860.17860.0000
Ge4Ge8i80.36300.00000.0000
Ge5Ge16m160.70970.70970.8186
Ho8Ho16n160.00000.25180.1897
Ho9Ho16n160.00000.32410.3975

The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 84 atoms drawn above are these sites multiplied by all 32 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.

How to read the label

A10B11_tI84_139_dehim_eh2n-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI84, then the space-group number 139, then the Wyckoff letters occupied by each element in turn (Ge: 4d; Ge: 4e; Ho: 4e; Ge: 8h; Ho: 8h; Ge: 8i; Ge: 16m; Ho: 16n; Ho: 16n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ba₁₁Bi₁₀, Ca₁₁Bi₁₀, Ca₁₁Sb₁₀, Ce₁₁Sn₁₀, Dy₁₁Sn₁₀, Er₁₁Ge₁₀, Er₁₁Sn₁₀, Eu₁₁Bi₁₀, Eu₁₁Sb₁₀, Gd₁₁Sn₁₀, Hf₁₁Ga₁₀, Ho₁₁Ge₁₀, Ho₁₁Sn₁₀, La₁₁Sn₁₀, Lu₁₁Ge₁₀, Nd₁₁Sn₁₀, Pr₁₁Pb₁₀, Sc₁₁Ge₁₀, Sr₁₁Bi₁₀, Sr₁₁Sb₁₀, Tb₁₁Ge₁₀, Tb₁₁Sn₁₀, Tm₁₁Ge₁₀, Tm₁₁Sn₁₀, Yb₁₁Bi₁₀, Yb₁₁Ge₁₀, Yb₁₁Sb₁₀ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A10B11_tI84_139_dehim_eh2n-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.

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