Crystal Lab › Prototype structures › Tetragonal
Er₅Rh₆Sn₁₈
Tetragonal · space group I41/acd (No. 142) · Pearson tI232
Symmetry elements and Wyckoff positions (interactive)
Er₅Rh₆Sn₁₈ in I41/acd
SettingUnit cell
- Lattice constants
- a = 13.730 Å, b = 13.730 Å, c = 27.420 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 5169.0 ų
- Atoms in the conventional cell
- 232 (Er 40, Rh 48, Sn 144)
- Formula units Z
- 8
- Pearson symbol
- tI232 — tetragonal, body-centred lattice, 232 atoms per conventional cell
- Symmetry operations
- 32 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Er1 | Er | 8b | 8 | 0.0000 | 0.2500 | 0.1250 |
| Rh3 | Rh | 16d | 16 | 0.0000 | 0.2500 | 0.7526 |
| Sn5 | Sn | 16e | 16 | 0.7111 | 0.0000 | 0.2500 |
| Sn6 | Sn | 16f | 16 | 0.6765 | 0.9265 | 0.1250 |
| Sn7 | Sn | 16f | 16 | 0.8266 | 0.0766 | 0.1250 |
| Er2 | Er | 32g | 32 | 0.6377 | 0.8834 | 0.4434 |
| Rh4 | Rh | 32g | 32 | 0.5012 | 0.9939 | 0.3751 |
| Sn10 | Sn | 32g | 32 | 0.8242 | 0.7547 | 0.2878 |
| Sn8 | Sn | 32g | 32 | 0.5885 | 0.8373 | 0.3309 |
| Sn9 | Sn | 32g | 32 | 0.5092 | 0.0758 | 0.2879 |
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 232 atoms drawn above are these sites multiplied by all 32 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
A5B6C18_tI232_142_bg_dg_e2f3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI232, then the space-group number 142, then the Wyckoff letters occupied by each element in turn (Er: 8b; Rh: 16d; Sn: 16e; Sn: 16f; Sn: 16f; Er: 32g; Rh: 32g; Sn: 32g; Sn: 32g; Sn: 32g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Lu₅Rh₆Sn₁₈, Sc₅Rh₆Sn₁₈, Y₅Rh₆Sn₁₈ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A5B6C18_tI232_142_bg_dg_e2f3g-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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