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Crystal Lab › Prototype structures › Hexagonal

P6₃ La₃BWO₉ BLa₃O₉W

Hexagonal · space group P63 (No. 173) · Pearson hP28

Symmetry elements and Wyckoff positions (interactive)

P6₃ La₃BWO₉ in P63

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

Unit cell

Lattice constants
a = 8.843 Å, b = 8.843 Å, c = 5.575 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
377.6 ų
Atoms in the conventional cell
28 (B 2, W 2, La 6, O 18)
Formula units Z
2
Pearson symbol
hP28 — hexagonal / trigonal, primitive lattice, 28 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B2a20.00000.00000.3580
W6W2b20.33330.66670.2500
La2La6c60.36360.08540.2213
O3O6c60.17000.04700.8610
O4O6c60.19200.48300.0440
O5O6c60.14200.51700.4680

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 28 atoms drawn above are these sites multiplied by all 6 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

AB3C9D_hP28_173_a_c_3c_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP28, then the space-group number 173, then the Wyckoff letters occupied by each element in turn (B: 2a; W: 2b; La: 6c; O: 6c; O: 6c; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

La₃BWO₉, Ce₃BWO₉, Nd₃BWO₉, Pr₃BWO₉, Sm₃BWO₉, Gd₃BWO₉, Tb₃BWO₉, Dy₃BWO₉, Ho₃BWO₉ <!--beginning with an

Note: Hexagonal.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3C9D_hP28_173_a_c_3c_b-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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