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Crystal Lab › Prototype structures › Tetragonal

CuBi₂O₄

Tetragonal · space group P4/ncc (No. 130) · Pearson tP28

Symmetry elements and Wyckoff positions (interactive)

CuBi₂O₄ in P4/ncc

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

Unit cell

Lattice constants
a = 8.510 Å, b = 8.510 Å, c = 5.814 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
421.1 ų
Atoms in the conventional cell
28 (Cu 4, Bi 8, O 16)
Formula units Z
4
Pearson symbol
tP28 — tetragonal, primitive lattice, 28 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cu2Cu4c40.25000.25000.5800
Bi1Bi8f80.58150.41850.2500
O3O16g160.04500.13600.5970

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 28 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

A2BC4_tP28_130_f_c_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP28, then the space-group number 130, then the Wyckoff letters occupied by each element in turn (Cu: 4c; Bi: 8f; O: 16g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_tP28_130_f_c_g-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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