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γ-HBO₂ (cubic)

Cubic · space group P-43n (No. 218) · Pearson cP96

Symmetry elements and Wyckoff positions (interactive)

γ-HBO₂ (cubic) in P-43n

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

Unit cell

Lattice constants
a = 8.886 Å, b = 8.886 Å, c = 8.886 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
701.6 ų
Atoms in the conventional cell
96 (B 24, H 24, O 48)
Formula units Z
24
Pearson symbol
cP96 — cubic, primitive lattice, 96 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B24i240.21720.08160.3094
H2H24i240.93700.10300.3370
O3O24i240.08040.16710.3004
O4O24i240.32230.14470.4262

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 96 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

ABC2_cP96_218_i_i_2i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP96, then the space-group number 218, then the Wyckoff letters occupied by each element in turn (B: 24i; H: 24i; O: 24i; O: 24i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \gamma-Metaboric Acid.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_cP96_218_i_i_2i-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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