Crystal Lab › Prototype structures › Monoclinic
β-CaC₂O₄ C₂CaO₄
Monoclinic · space group P12/m1 (No. 10) · Pearson mP28
Symmetry elements and Wyckoff positions (interactive)
β-CaC₂O₄ in P12/m1
SettingUnit cell
- Lattice constants
- a = 9.653 Å, b = 7.515 Å, c = 11.487 Å; α = 90.00°, β = 147.06°, γ = 90.00°
- Cell volume
- 453.2 ų
- Atoms in the conventional cell
- 28 (C 8, Ca 4, O 16)
- Formula units Z
- 4
- Pearson symbol
- mP28 — monoclinic, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| C1 | C | 2i | 2 | 0.0000 | 0.1034 | 0.0000 |
| C2 | C | 2j | 2 | 0.5000 | 0.6037 | 0.0000 |
| C3 | C | 2m | 2 | 0.9973 | 0.0000 | 0.5658 |
| Ca4 | Ca | 2m | 2 | 0.5899 | 0.0000 | 0.9102 |
| O5 | O | 2m | 2 | 0.2163 | 0.0000 | 0.7695 |
| O6 | O | 2m | 2 | 0.1487 | 0.0000 | 0.4666 |
| C7 | C | 2n | 2 | 0.6342 | 0.5000 | 0.5658 |
| Ca8 | Ca | 2n | 2 | 0.7338 | 0.5000 | 0.9101 |
| O9 | O | 2n | 2 | 0.7156 | 0.5000 | 0.5335 |
| O10 | O | 2n | 2 | 0.8227 | 0.5000 | 0.7695 |
| O11 | O | 4o | 4 | 0.5661 | 0.6799 | 0.9525 |
| O12 | O | 4o | 4 | 0.1615 | 0.1796 | 0.0479 |
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 28 atoms drawn above are these sites multiplied by all 4 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_mP28_10_ijmn_mn_2m2n2o-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP28, then the space-group number 10, then the Wyckoff letters occupied by each element in turn (C: 2i; C: 2j; C: 2m; Ca: 2m; O: 2m; O: 2m; C: 2n; Ca: 2n; O: 2n; O: 2n; O: 4o; O: 4o). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \betaCaC₂O₄.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_mP28_10_ijmn_mn_2m2n2o-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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