Crystal Lab › Prototype structures › Hexagonal
Fe₁₂Zr₂P₇
Hexagonal · space group P-6 (No. 174) · Pearson hP21
Symmetry elements and Wyckoff positions (interactive)
Fe₁₂Zr₂P₇ in P-6
SettingUnit cell
- Lattice constants
- a = 9.000 Å, b = 9.000 Å, c = 3.592 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 252.0 ų
- Atoms in the conventional cell
- 21 (P 7, Zr 2, Fe 12)
- Formula units Z
- 1
- Pearson symbol
- hP21 — hexagonal / trigonal, primitive lattice, 21 atoms per conventional cell
- Symmetry operations
- 6 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P5 | P | 1a | 1 | 0.0000 | 1.0000 | 0.0000 |
| Zr8 | Zr | 1c | 1 | 0.3333 | 0.6667 | 0.0000 |
| Zr9 | Zr | 1f | 1 | 0.6667 | 0.3333 | 0.5000 |
| Fe1 | Fe | 3j | 3 | 0.4309 | 0.3719 | 0.0000 |
| Fe2 | Fe | 3j | 3 | 0.1189 | 0.2772 | 0.0000 |
| P6 | P | 3j | 3 | 0.4163 | 0.1204 | 0.0000 |
| Fe3 | Fe | 3k | 3 | 0.0495 | 0.4359 | 0.5000 |
| Fe4 | Fe | 3k | 3 | 0.2232 | 0.1240 | 0.5000 |
| P7 | P | 3k | 3 | 0.2889 | 0.4096 | 0.5000 |
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 21 atoms drawn above are these sites multiplied by all 6 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
A12B7C2_hP21_174_2j2k_ajk_cf-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP21, then the space-group number 174, then the Wyckoff letters occupied by each element in turn (P: 1a; Zr: 1c; Zr: 1f; Fe: 3j; Fe: 3j; P: 3j; Fe: 3k; Fe: 3k; P: 3k). 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 A12B7C2_hP21_174_2j2k_ajk_cf-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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