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Ho₁₁Ge₁₀
Tetragonal · space group I4/mmm (No. 139) · Pearson tI84
Symmetry elements and Wyckoff positions (interactive)
Ho₁₁Ge₁₀ in I4/mmm
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ge1 | Ge | 4d | 4 | 0.0000 | 0.5000 | 0.2500 |
| Ge2 | Ge | 4e | 4 | 0.0000 | 0.0000 | 0.1129 |
| Ho6 | Ho | 4e | 4 | 0.0000 | 0.0000 | 0.3394 |
| Ge3 | Ge | 8h | 8 | 0.3803 | 0.3803 | 0.0000 |
| Ho7 | Ho | 8h | 8 | 0.1786 | 0.1786 | 0.0000 |
| Ge4 | Ge | 8i | 8 | 0.3630 | 0.0000 | 0.0000 |
| Ge5 | Ge | 16m | 16 | 0.7097 | 0.7097 | 0.8186 |
| Ho8 | Ho | 16n | 16 | 0.0000 | 0.2518 | 0.1897 |
| Ho9 | Ho | 16n | 16 | 0.0000 | 0.3241 | 0.3975 |
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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