Crystal Lab › Prototype structures › Hexagonal
Er₂RhSi₃
Hexagonal · space group P-62c (No. 190) · Pearson hP24
Symmetry elements and Wyckoff positions (interactive)
Er₂RhSi₃ in P-62c
SettingUnit cell
- Lattice constants
- a = 8.036 Å, b = 8.036 Å, c = 7.712 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 431.3 ų
- Atoms in the conventional cell
- 24 (Er 8, Rh 4, Si 12)
- Formula units Z
- 4
- Pearson symbol
- hP24 — hexagonal / trigonal, primitive lattice, 24 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Er1 | Er | 2b | 2 | 0.0000 | 0.0000 | 0.2500 |
| Rh2 | Rh | 4f | 4 | 0.3333 | 0.6667 | 0.0000 |
| Er3 | Er | 6h | 6 | 0.4620 | 0.4810 | 0.2500 |
| Si4 | Si | 12i | 12 | 0.8340 | 0.1670 | 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 24 atoms drawn above are these sites multiplied by all 12 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
A2BC3_hP24_190_bh_f_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP24, then the space-group number 190, then the Wyckoff letters occupied by each element in turn (Er: 2b; Rh: 4f; Er: 6h; Si: 12i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Ce₂NiGe₃, Ce₂RhSi₃, Ho₂RhSi₃, La₂NiGe₃, Nd₂RhSi₃, Tb₂RhSi₃, Ga₃CoLu₂ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC3_hP24_190_bh_f_i-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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