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Crystal Lab › Prototype structures › Tetragonal

BaCu₄[VO][PO₄]₄ BaCu₄O₁₇P₄V

Tetragonal · space group P4212 (No. 90) · Pearson tP54

Symmetry elements and Wyckoff positions (interactive)

BaCu₄[VO][PO₄]₄ in P4212

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

Unit cell

Lattice constants
a = 9.560 Å, b = 9.560 Å, c = 7.160 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
654.4 ų
Atoms in the conventional cell
54 (Ba 2, O 34, V 2, Cu 8, P 8)
Formula units Z
2
Pearson symbol
tP54 — tetragonal, primitive lattice, 54 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
O3O2c20.00000.50000.2035
V9V2c20.00000.50000.9770
Cu2Cu8g80.76390.51520.4070
O4O8g80.65250.86640.4465
O5O8g80.87860.83800.2708
O6O8g80.66660.89640.0943
O7O8g80.68380.65600.2468
P8P8g80.72070.81140.2609

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 54 atoms drawn above are these sites multiplied by all 8 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

AB4C17D4E_tP54_90_a_g_c4g_g_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP54, then the space-group number 90, then the Wyckoff letters occupied by each element in turn (Ba: 2a; O: 2c; V: 2c; Cu: 8g; O: 8g; O: 8g; O: 8g; O: 8g; P: 8g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaCu₄[TiO][PO₄]₄ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C17D4E_tP54_90_a_g_c4g_g_c-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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