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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Co1Co1a10.00000.00000.0000
Ga2Ga2e20.00000.50000.5000
Ho5Ho2g20.00000.00000.3093
Ga3Ga2h20.50000.50000.2933
Ga4Ga4i40.00000.50000.1189

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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