Crystal Lab › Prototype structures › Tetragonal
Tetragonal Be₃P₂
Tetragonal · space group I41/acd (No. 142) · Pearson tI160
Symmetry elements and Wyckoff positions (interactive)
Tetragonal Be₃P₂ in I41/acd
SettingUnit cell
- Lattice constants
- a = 10.220 Å, b = 10.220 Å, c = 20.390 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 2129.7 ų
- Atoms in the conventional cell
- 160 (P 64, Be 96)
- Formula units Z
- 32
- Pearson symbol
- tI160 — tetragonal, body-centred lattice, 160 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P4 | P | 8a | 8 | 0.0000 | 0.2500 | 0.3750 |
| P5 | P | 8b | 8 | 0.0000 | 0.2500 | 0.1250 |
| P6 | P | 16c | 16 | 0.0000 | 0.0000 | 0.0000 |
| P7 | P | 16e | 16 | 0.9980 | 0.0000 | 0.2500 |
| P8 | P | 16f | 16 | 0.2540 | 0.5040 | 0.1250 |
| Be1 | Be | 32g | 32 | 0.1260 | 0.3810 | 0.0630 |
| Be2 | Be | 32g | 32 | 0.3800 | 0.3690 | 0.0650 |
| Be3 | Be | 32g | 32 | 0.1330 | 0.1290 | 0.0590 |
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 160 atoms drawn above are these sites multiplied by all 32 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
A3B2_tI160_142_3g_abcef-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI160, then the space-group number 142, then the Wyckoff letters occupied by each element in turn (P: 8a; P: 8b; P: 16c; P: 16e; P: 16f; Be: 32g; Be: 32g; Be: 32g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Tetragonal Be₃P₂.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B2_tI160_142_3g_abcef-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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