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Tetragonal Be₃P₂

Tetragonal · space group I41/acd (No. 142) · Pearson tI160

Symmetry elements and Wyckoff positions (interactive)

Tetragonal Be₃P₂ in I41/acd

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

Unit 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

SiteElementWyckoffMultiplicityxyz
P4P8a80.00000.25000.3750
P5P8b80.00000.25000.1250
P6P16c160.00000.00000.0000
P7P16e160.99800.00000.2500
P8P16f160.25400.50400.1250
Be1Be32g320.12600.38100.0630
Be2Be32g320.38000.36900.0650
Be3Be32g320.13300.12900.0590

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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