Crystal Lab › Prototype structures › Orthorhombic
Calciborite (CaB₂O₄ II)
Orthorhombic · space group Pccn (No. 56) · Pearson oP56 · mineral: calciborite
Symmetry elements and Wyckoff positions (interactive)
Calciborite (CaB₂O₄ II) in Pccn
SettingUnit cell
- Lattice constants
- a = 8.380 Å, b = 13.820 Å, c = 5.006 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 579.8 ų
- Atoms in the conventional cell
- 56 (B 16, Ca 8, O 32)
- Formula units Z
- 8
- Pearson symbol
- oP56 — orthorhombic, primitive lattice, 56 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 8e | 8 | 0.5370 | 0.1390 | 0.6240 |
| B2 | B | 8e | 8 | 0.7420 | 0.0520 | 0.3650 |
| Ca3 | Ca | 8e | 8 | 0.3860 | 0.1430 | 0.1230 |
| O4 | O | 8e | 8 | 0.3910 | 0.1850 | 0.6330 |
| O5 | O | 8e | 8 | 0.7420 | 0.9910 | 0.1140 |
| O6 | O | 8e | 8 | 0.5960 | 0.1120 | 0.3650 |
| O7 | O | 8e | 8 | 0.8850 | 0.1120 | 0.3780 |
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 56 atoms drawn above are these sites multiplied by all 8 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_oP56_56_2e_e_4e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP56, then the space-group number 56, then the Wyckoff letters occupied by each element in turn (B: 8e; B: 8e; Ca: 8e; O: 8e; O: 8e; O: 8e; O: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Calciborite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_oP56_56_2e_e_4e-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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