Crystal Lab › Prototype structures › Orthorhombic
NaAlB₁₄
Orthorhombic · space group Imma (No. 74) · Pearson oI64
Symmetry elements and Wyckoff positions (interactive)
NaAlB₁₄ in Imma
SettingUnit cell
- Lattice constants
- a = 5.844 Å, b = 10.465 Å, c = 8.231 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 503.4 ų
- Atoms in the conventional cell
- 64 (Al 4, Na 4, B 56)
- Formula units Z
- 4
- Pearson symbol
- oI64 — orthorhombic, body-centred lattice, 64 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 4c | 4 | 0.2500 | 0.2500 | 0.2500 |
| Na7 | Na | 4e | 4 | 0.0000 | 0.2500 | 0.8482 |
| B2 | B | 8h | 8 | 0.0000 | 0.9145 | 0.6678 |
| B3 | B | 8h | 8 | 0.0000 | 0.8528 | 0.8747 |
| B4 | B | 8h | 8 | 0.0000 | 0.8339 | 0.4676 |
| B5 | B | 16j | 16 | 0.2495 | 0.4206 | 0.0442 |
| B6 | B | 16j | 16 | 0.3394 | 0.5605 | 0.1630 |
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 64 atoms drawn above are these sites multiplied by all 16 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
AB14C_oI64_74_c_3h2j_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oI64, then the space-group number 74, then the Wyckoff letters occupied by each element in turn (Al: 4c; Na: 4e; B: 8h; B: 8h; B: 8h; B: 16j; B: 16j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB14C_oI64_74_c_3h2j_e-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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