Symmetry elements and Wyckoff positions (interactive)
LaFe₄P₁₂ in Im-3
SettingUnit cell
- Lattice constants
- a = 7.832 Å, b = 7.832 Å, c = 7.832 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 480.4 ų
- Atoms in the conventional cell
- 34 (La 2, Fe 8, P 24)
- Formula units Z
- 2
- Pearson symbol
- cI34 — cubic, body-centred lattice, 34 atoms per conventional cell
- Symmetry operations
- 48 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| La2 | La | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| Fe1 | Fe | 8c | 8 | 0.2500 | 0.2500 | 0.2500 |
| P3 | P | 24g | 24 | 0.0000 | 0.3539 | 0.1504 |
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 34 atoms drawn above are these sites multiplied by all 48 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
A4BC12_cI34_204_c_a_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI34, then the space-group number 204, then the Wyckoff letters occupied by each element in turn (La: 2a; Fe: 8c; P: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
CeFe₄P₁₂, EuFe₄P₁₂, NdFe₄P₁₂, PrFe₄P₁₂, SmFe₄P₁₂, CeRu₄P₁₂, EuRu₄P₁₂, LaRu₄P₁₂, NdRu₄P₁₂, PrRu₄P₁₂, SmRu₄P₁₂, CeOs₄P₁₂, LaOs₄P₁₂, NdOs₄P₁₂, PrOs₄P₁₂, SmOs₄P₁₂, CeFe₄Sb₁₂, LaFe₄Sb₁₂, PrFe₄Sb₁₂, SmFe₄Sb₁₂, CeRu₄Sb₁₂, EuRu₄Sb₁₂, LaRu₄Sb₁₂, NdRu₄Sb₁₂, PrRu₄Sb₁₂, SmRu₄Sb₁₂, CeOs₄Sb₁₂, EuOs₄Sb₁₂, LaOs₄Sb₁₂, NdOs₄Sb₁₂, PrOs₄Sb₁₂, SmOs₄Sb₁₂ <!--beginning with an
Note: Filled Skutterudite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC12_cI34_204_c_a_g-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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