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Crystal Lab › Prototype structures › Hexagonal

Ba_{x}Pt₃B₂ B₂BaPt₃

Hexagonal · space group P63/mmc (No. 194) · Pearson hP12

Symmetry elements and Wyckoff positions (interactive)

Ba_{x}Pt₃B₂ in P63/mmc

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

Unit cell

Lattice constants
a = 6.161 Å, b = 6.161 Å, c = 5.268 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
173.2 ų
Atoms in the conventional cell
12 (Ba 2, B 4, Pt 6)
Formula units Z
2
Pearson symbol
hP12 — hexagonal / trigonal, primitive lattice, 12 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
B2B4f40.33330.66670.5326
Pt3Pt6h60.51200.02400.2500

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 12 atoms drawn above are these sites multiplied by all 24 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

A2BC3_hP12_194_f_a_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP12, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Ba: 2a; B: 4f; Pt: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca_{x}Pt₃B₂, Sr_{x}Pt₃B₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC3_hP12_194_f_a_h-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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