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Crystal Lab › Prototype structures › Hexagonal

High Temperature GdBO₃ BGdO₃

Hexagonal · space group P63/mmc (No. 194) · Pearson hP10

Symmetry elements and Wyckoff positions (interactive)

High Temperature GdBO₃ in P63/mmc

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

Unit cell

Lattice constants
a = 4.115 Å, b = 4.115 Å, c = 8.592 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
126.0 ų
Atoms in the conventional cell
10 (Gd 2, B 2, O 6)
Formula units Z
2
Pearson symbol
hP10 — hexagonal / trigonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Gd2Gd2a20.00001.00000.0000
B1B2c20.33330.66670.2500
O3O6h60.14800.29600.2500

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 10 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

ABC3_hP10_194_c_a_h-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP10, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Gd: 2a; B: 2c; O: 6h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: HT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_hP10_194_c_a_h-002 (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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