Crystal Lab › Prototype structures › Orthorhombic
CaB₂O₄ (III)
Orthorhombic · space group Pna21 (No. 33) · Pearson oP84
Symmetry elements and Wyckoff positions (interactive)
CaB₂O₄ (III) in Pna21
SettingUnit cell
- Lattice constants
- a = 11.380 Å, b = 6.307 Å, c = 11.304 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 811.3 ų
- Atoms in the conventional cell
- 84 (B 24, Ca 12, O 48)
- Formula units Z
- 12
- Pearson symbol
- oP84 — orthorhombic, primitive lattice, 84 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| B1 | B | 4a | 4 | 0.1401 | 0.2529 | 0.5390 |
| B2 | B | 4a | 4 | 0.2510 | 0.4193 | 0.0515 |
| B3 | B | 4a | 4 | 0.2131 | 0.1191 | 0.7403 |
| B4 | B | 4a | 4 | 0.3222 | 0.1006 | 0.9442 |
| B5 | B | 4a | 4 | 0.4658 | 0.0183 | 0.4800 |
| B6 | B | 4a | 4 | 0.4748 | 0.3758 | 0.2477 |
| Ca7 | Ca | 4a | 4 | 0.0735 | 0.0504 | 0.0000 |
| Ca8 | Ca | 4a | 4 | 0.0326 | 0.6600 | 0.2339 |
| Ca9 | Ca | 4a | 4 | 0.2531 | 0.1129 | 0.2796 |
| O10 | O | 4a | 4 | 0.2657 | 0.1944 | 0.0459 |
| O11 | O | 4a | 4 | 0.2171 | 0.4704 | 0.1734 |
| O12 | O | 4a | 4 | 0.0717 | 0.0297 | 0.2009 |
| O13 | O | 4a | 4 | 0.4547 | 0.1715 | 0.2567 |
| O14 | O | 4a | 4 | 0.2009 | 0.3750 | 0.4486 |
| O15 | O | 4a | 4 | 0.1456 | 0.0322 | 0.5116 |
| O16 | O | 4a | 4 | 0.0061 | 0.3009 | 0.5305 |
| O17 | O | 4a | 4 | 0.1734 | 0.2946 | 0.6635 |
| O18 | O | 4a | 4 | 0.1069 | 0.0220 | 0.7981 |
| O19 | O | 4a | 4 | 0.2870 | 0.2046 | 0.8336 |
| O20 | O | 4a | 4 | 0.4563 | 0.1370 | 0.9458 |
| O21 | O | 4a | 4 | 0.1504 | 0.4768 | 0.9668 |
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 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_oP84_33_6a_3a_12a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP84, then the space-group number 33, then the Wyckoff letters occupied by each element in turn (B: 4a; B: 4a; B: 4a; B: 4a; B: 4a; B: 4a; Ca: 4a; Ca: 4a; Ca: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: CaB₂O₄ III.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_oP84_33_6a_3a_12a-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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