Crystal Lab › Prototype structures › Tetragonal
Zr₅Si₄
Tetragonal · space group P41212 (No. 92) · Pearson tP36
Symmetry elements and Wyckoff positions (interactive)
Zr₅Si₄ in P41212
SettingUnit cell
- Lattice constants
- a = 7.122 Å, b = 7.122 Å, c = 13.000 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 659.4 ų
- Atoms in the conventional cell
- 36 (Zr 20, Si 16)
- Formula units Z
- 4
- Pearson symbol
- tP36 — tetragonal, primitive lattice, 36 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Zr3 | Zr | 4a | 4 | 0.3260 | 0.3260 | 0.0000 |
| Si1 | Si | 8b | 8 | 0.2100 | 0.1410 | 0.6750 |
| Si2 | Si | 8b | 8 | 0.3080 | 0.9450 | 0.0620 |
| Zr4 | Zr | 8b | 8 | 0.3500 | 0.0030 | 0.4650 |
| Zr5 | Zr | 8b | 8 | 0.1410 | 0.0040 | 0.8470 |
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 36 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
A4B5_tP36_92_2b_a2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP36, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (Zr: 4a; Si: 8b; Si: 8b; Zr: 8b; Zr: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ce₅Si₄, Hf₅Si₄, La₅Si₄, Nb₅Si₄, Pr₅Si₄, Ti₅Si₄, Zr₅Ge₄, Pr₅Si₂Ge₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B5_tP36_92_2b_a2b-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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