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Tetragonal Ba₃Zr₂S₇ Ba₃S₇Zr₂

Tetragonal · space group P42/mnm (No. 136) · Pearson tP48

Symmetry elements and Wyckoff positions (interactive)

Tetragonal Ba₃Zr₂S₇ in P42/mnm

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

Unit cell

Lattice constants
a = 7.056 Å, b = 7.056 Å, c = 25.371 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1263.3 ų
Atoms in the conventional cell
48 (S 28, Ba 12, Zr 8)
Formula units Z
4
Pearson symbol
tP48 — tetragonal, primitive lattice, 48 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
S1S4e40.00000.00000.4159
S2S4e40.00000.00000.1089
Ba3Ba4f40.75380.75380.0000
S4S4g40.21410.78590.0000
S5S8h80.00000.50000.4045
Ba6Ba8j80.26050.26050.8185
S7S8j80.22180.22180.3020
Zr8Zr8j80.25030.25030.4002

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 48 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

A3B7C2_tP48_136_fj_2eghj_j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP48, then the space-group number 136, then the Wyckoff letters occupied by each element in turn (S: 4e; S: 4e; Ba: 4f; S: 4g; S: 8h; Ba: 8j; S: 8j; Zr: 8j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: LT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B7C2_tP48_136_fj_2eghj_j-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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