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Crystal Lab › Prototype structures › Tetragonal

HoCoGa₅

Tetragonal · space group P4/mmm (No. 123) · Pearson tP7

Symmetry elements and Wyckoff positions (interactive)

HoCoGa₅ in P4/mmm

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

Unit cell

Lattice constants
a = 4.207 Å, b = 4.207 Å, c = 6.795 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
120.3 ų
Atoms in the conventional cell
7 (Ho 1, Co 1, Ga 5)
Formula units Z
1
Pearson symbol
tP7 — tetragonal, primitive lattice, 7 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ho4Ho1a10.00000.00000.0000
Co1Co1b10.00000.00000.5000
Ga2Ga1c10.50000.50000.0000
Ga3Ga4i40.00000.50000.3120

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 7 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

AB5C_tP7_123_b_ci_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP7, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Ho: 1a; Co: 1b; Ga: 1c; Ga: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CeRhIn₅, CeCoIn₅, DyCoGa₅, ErCoGa₅, GdCoGa₅, LuCoGa₅, TbCoGa₅, TmCoGa₅, UCoGa₅, YCoGa₅, CoIrIn₅, CoRhIn₅, LaCoIn₅, LaIrIn₅, LaRhIn₅, PrCoIn₅, PrIrIn₅, PrRhIn₅ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB5C_tP7_123_b_ci_a-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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