Crystal Lab › Prototype structures › Orthorhombic
Smirnite (Bi₂TeO₅)
Orthorhombic · space group Aem2 (No. 39) · Pearson oC64 · mineral: smirnite
Symmetry elements and Wyckoff positions (interactive)
Smirnite (Bi₂TeO₅) in Aem2
SettingUnit cell
- Lattice constants
- a = 11.602 Å, b = 16.461 Å, c = 5.523 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1054.8 ų
- Atoms in the conventional cell
- 64 (O 40, Bi 16, Te 8)
- Formula units Z
- 8
- Pearson symbol
- oC64 — orthorhombic, base-centred lattice, 64 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| O4 | O | 4a | 4 | 0.0000 | 0.0000 | 0.3040 |
| Bi1 | Bi | 4c | 4 | 0.6247 | 0.2500 | 0.5063 |
| Bi2 | Bi | 4c | 4 | 0.8774 | 0.2500 | 0.0212 |
| O5 | O | 4c | 4 | 0.7940 | 0.2500 | 0.3300 |
| Bi3 | Bi | 8d | 8 | 0.8919 | 0.0855 | 0.4767 |
| O6 | O | 8d | 8 | 0.7690 | 0.0420 | 0.1400 |
| O7 | O | 8d | 8 | 0.5710 | 0.1490 | 0.2090 |
| O8 | O | 8d | 8 | 0.9710 | 0.1580 | 0.1600 |
| O9 | O | 8d | 8 | 0.7000 | 0.1610 | 0.7800 |
| Te10 | Te | 8d | 8 | 0.6336 | 0.0804 | 0.0000 |
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 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
A2B5C_oC64_39_2cd_ac4d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC64, then the space-group number 39, then the Wyckoff letters occupied by each element in turn (O: 4a; Bi: 4c; Bi: 4c; O: 4c; Bi: 8d; O: 8d; O: 8d; O: 8d; O: 8d; Te: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Smirnite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B5C_oC64_39_2cd_ac4d_d-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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