Crystal Lab › Prototype structures › Tetragonal
Ba₅In₄Bi₅
Tetragonal · space group P4nc (No. 104) · Pearson tP28
Symmetry elements and Wyckoff positions (interactive)
Ba₅In₄Bi₅ in P4nc
SettingUnit cell
- Lattice constants
- a = 10.623 Å, b = 10.623 Å, c = 9.011 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1016.8 ų
- Atoms in the conventional cell
- 28 (Ba 10, Bi 10, In 8)
- Formula units Z
- 2
- Pearson symbol
- tP28 — tetragonal, primitive lattice, 28 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ba1 | Ba | 2a | 2 | 0.0000 | 0.0000 | 0.5000 |
| Bi3 | Bi | 2a | 2 | 0.0000 | 0.0000 | 0.8821 |
| Ba2 | Ba | 8c | 8 | 0.8116 | 0.6057 | 0.3261 |
| Bi4 | Bi | 8c | 8 | 0.6094 | 0.8092 | 0.0098 |
| In5 | In | 8c | 8 | 0.8116 | 0.9280 | 0.1681 |
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 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
A5B5C4_tP28_104_ac_ac_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP28, then the space-group number 104, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Bi: 2a; Ba: 8c; Bi: 8c; In: 8c). 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 A5B5C4_tP28_104_ac_ac_c-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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