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Crystal Lab › Prototype structures › Trigonal

Cu₃P (D0₂₁)

Trigonal · space group P-3c1 (No. 165) · Pearson hP24 · Strukturbericht D021

Symmetry elements and Wyckoff positions (interactive)

Cu₃P (D0₂₁) in P-3c1

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

Unit cell

Lattice constants
a = 7.070 Å, b = 7.070 Å, c = 7.135 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
308.9 ų
Atoms in the conventional cell
24 (Cu 18, P 6)
Formula units Z
6
Pearson symbol
hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
12 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu1Cu2b20.00000.00000.0000
Cu2Cu4d40.33330.66670.1700
P4P6f60.38000.00000.2500
Cu3Cu12g120.69000.07000.0800

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 24 atoms drawn above are these sites multiplied by all 12 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

A3B_hP24_165_bdg_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 165, then the Wyckoff letters occupied by each element in turn (Cu: 2b; Cu: 4d; P: 6f; Cu: 12g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Cu₃As, Cd₃Au, Mg₃Au, Mg₃Ir, Mg₃Pt, Na₃As, CeF₃, LaF₃ <!--beginning with an

Note: D0₂₁.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B_hP24_165_bdg_f-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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