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CaB₂O₄ (IV)

Cubic · space group Pa-3 (No. 205) · Pearson cP84

Symmetry elements and Wyckoff positions (interactive)

CaB₂O₄ (IV) in Pa-3

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

Unit cell

Lattice constants
a = 9.008 Å, b = 9.008 Å, c = 9.008 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
730.9 ų
Atoms in the conventional cell
84 (Ca 12, B 24, O 48)
Formula units Z
12
Pearson symbol
cP84 — cubic, primitive lattice, 84 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca2Ca4a40.00000.00000.0000
Ca3Ca8c80.37300.37300.3730
B1B24d240.11890.19010.3457
O4O24d240.33360.26920.1208
O5O24d240.09060.28230.0064

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 84 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

A2BC4_cP84_205_d_ac_2d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cP84, then the space-group number 205, then the Wyckoff letters occupied by each element in turn (Ca: 4a; Ca: 8c; B: 24d; O: 24d; O: 24d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: CaB₂O₄ IV.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_cP84_205_d_ac_2d-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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