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Crystal Lab › Prototype structures › Tetragonal

Ba₅Si₃

Tetragonal · space group P4/ncc (No. 130) · Pearson tP32

Symmetry elements and Wyckoff positions (interactive)

Ba₅Si₃ in P4/ncc

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

Unit cell

Lattice constants
a = 8.465 Å, b = 8.465 Å, c = 16.450 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1178.7 ų
Atoms in the conventional cell
32 (Ba 20, Si 12)
Formula units Z
4
Pearson symbol
tP32 — tetragonal, primitive lattice, 32 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba4c40.25000.25000.2271
Si3Si4c40.25000.25000.0095
Si4Si8f80.14820.85180.2500
Ba2Ba16g160.58000.08000.1069

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 32 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

A5B3_tP32_130_cg_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP32, then the space-group number 130, then the Wyckoff letters occupied by each element in turn (Ba: 4c; Si: 4c; Si: 8f; Ba: 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 A5B3_tP32_130_cg_cf-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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