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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| O3 | O | 2c | 2 | 0.0000 | 0.5000 | 0.2035 |
| V9 | V | 2c | 2 | 0.0000 | 0.5000 | 0.9770 |
| Cu2 | Cu | 8g | 8 | 0.7639 | 0.5152 | 0.4070 |
| O4 | O | 8g | 8 | 0.6525 | 0.8664 | 0.4465 |
| O5 | O | 8g | 8 | 0.8786 | 0.8380 | 0.2708 |
| O6 | O | 8g | 8 | 0.6666 | 0.8964 | 0.0943 |
| O7 | O | 8g | 8 | 0.6838 | 0.6560 | 0.2468 |
| P8 | P | 8g | 8 | 0.7207 | 0.8114 | 0.2609 |
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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