Skip to content

Crystal Lab › Prototype structures › Tetragonal

Ba₂ZnGe₂S₆O

Tetragonal · space group P-421m (No. 113) · Pearson tP24

Symmetry elements and Wyckoff positions (interactive)

Ba₂ZnGe₂S₆O in P-421m

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

Unit cell

Lattice constants
a = 9.636 Å, b = 9.636 Å, c = 6.451 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
598.9 ų
Atoms in the conventional cell
24 (Zn 2, O 2, Ba 4, Ge 4, S 12)
Formula units Z
2
Pearson symbol
tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zn1Zn2a20.00000.00000.0000
O2O2c20.00000.50000.1830
Ba3Ba4e40.16030.66030.5022
Ge4Ge4e40.37490.87490.9304
S5S4e40.36470.86470.2635
S6S8f80.32000.43790.2282

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 24 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

A2B2CD6E_tP24_113_e_e_c_ef_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP24, then the space-group number 113, then the Wyckoff letters occupied by each element in turn (Zn: 2a; O: 2c; Ba: 4e; Ge: 4e; S: 4e; S: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

La₂ZnGa₂S₆O, Sr₂CdGe₂S₆O, Sr₂MnGe₂S₆O, Sr₂ZnGe₂S₆O <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2CD6E_tP24_113_e_e_c_ef_a-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.

 ·  Space group P-421m (6 prototypes)  ·  All prototypes  ·  β-Gd₂(MoO₄)₃ →