Crystal Lab › Prototype structures › Cubic
CaB₂O₄ (IV)
Cubic · space group Pa-3 (No. 205) · Pearson cP84
Symmetry elements and Wyckoff positions (interactive)
CaB₂O₄ (IV) in Pa-3
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca2 | Ca | 4a | 4 | 0.0000 | 0.0000 | 0.0000 |
| Ca3 | Ca | 8c | 8 | 0.3730 | 0.3730 | 0.3730 |
| B1 | B | 24d | 24 | 0.1189 | 0.1901 | 0.3457 |
| O4 | O | 24d | 24 | 0.3336 | 0.2692 | 0.1208 |
| O5 | O | 24d | 24 | 0.0906 | 0.2823 | 0.0064 |
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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