Crystal Lab › Prototype structures › Tetragonal
Ho₂CoGa₈
Tetragonal · space group P4/mmm (No. 123) · Pearson tP11
Symmetry elements and Wyckoff positions (interactive)
Ho₂CoGa₈ in P4/mmm
SettingUnit cell
- Lattice constants
- a = 4.217 Å, b = 4.217 Å, c = 10.970 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 195.1 ų
- Atoms in the conventional cell
- 11 (Co 1, Ga 8, Ho 2)
- Formula units Z
- 1
- Pearson symbol
- tP11 — tetragonal, primitive lattice, 11 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Co1 | Co | 1a | 1 | 0.0000 | 0.0000 | 0.0000 |
| Ga2 | Ga | 2e | 2 | 0.0000 | 0.5000 | 0.5000 |
| Ho5 | Ho | 2g | 2 | 0.0000 | 0.0000 | 0.3093 |
| Ga3 | Ga | 2h | 2 | 0.5000 | 0.5000 | 0.2933 |
| Ga4 | Ga | 4i | 4 | 0.0000 | 0.5000 | 0.1189 |
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 11 atoms drawn above are these sites multiplied by all 16 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
AB8C2_tP11_123_a_ehi_g-003: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP11, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Co: 1a; Ga: 2e; Ho: 2g; Ga: 2h; Ga: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ce₂CoIn₈, Ce₂PdIn₈, Ce₂PtIn₈, Ce₂RhIn₈, Dy₂CoGa₈, Dy₂CoIn₈, Dy₂FeGa₈, Er₂CoGa₈, Er₂CoIn₈, Er₂FeGa₈, Gd₂CoGa₈, Gd₂CoIn₈, Ho₂CoGa₈, Ho₂CoIn₈, Ho₂DyGa₈, Ho₂ErGa₈, Ho₂FeGa₈, Ho₂GdGa₈, Ho₂LuGa₈, Ho₂RhIn₈, Ho₂SmGa₈, Ho₂TbGa₈, Ho₂TmGa₈, Ho₂YGa₈, In₂AsPt₈, Nd₂CoIn₈, Nd₂CoPd₈, Ce₂CoIn₈, Ce₂PdIn₈, Ce₂PtIn₈, Dy₂CoGa₈, Dy₂CoIn₈, Dy₂FeGa₈, Er₂CoGa₈, Er₂CoIn₈, Er₂FeGa₈, Gd₂CoGa₈, Gd₂CoIn₈, Ho₂CoGa₈, Ho₂CoIn₈, Ho₂FeGa₈, Ho₂RhIn₈, In₂AsPt₈, In₂SePd₈, Lu₂CoGa₈, Lu₂FeGa₈, Nd₂CoIn₈, Nd₂PdIn₈, Pr₂CoIn₈, Pr₂PdIn₈, Sm₂CoGa₈, Sm₂CoIn₈, Sm₂PdIn₈, Tb₂CoGa₈, Tb₂FeGa₈, Tm₂CoGa₈, Tm₂CoIn₈, Tm₂FeGa₈, U₂RuGa₈, U₂RhIn₈, Y₂C
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB8C2_tP11_123_a_ehi_g-003 (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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