Crystal Lab › Prototype structures › Monoclinic
AgCrP₂S₆
Monoclinic · space group P12/c1 (No. 13) · Pearson mP20
Symmetry elements and Wyckoff positions (interactive)
AgCrP₂S₆ in P12/c1
SettingUnit cell
- Lattice constants
- a = 10.101 Å, b = 10.621 Å, c = 5.883 Å; α = 90.00°, β = 140.08°, γ = 90.00°
- Cell volume
- 405.1 ų
- Atoms in the conventional cell
- 20 (Ag 2, Cr 2, P 4, S 12)
- Formula units Z
- 2
- Pearson symbol
- mP20 — monoclinic, primitive lattice, 20 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ag1 | Ag | 2e | 2 | 0.0000 | 0.5636 | 0.2500 |
| Cr2 | Cr | 2e | 2 | 0.0000 | 0.9229 | 0.2500 |
| P3 | P | 4g | 4 | 0.8341 | 0.7534 | 0.5362 |
| S4 | S | 4g | 4 | 0.7664 | 0.7691 | 0.7872 |
| S5 | S | 4g | 4 | 0.7835 | 0.0767 | 0.7955 |
| S6 | S | 4g | 4 | 0.7198 | 0.6053 | 0.2421 |
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 20 atoms drawn above are these sites multiplied by all 4 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
ABC2D6_mP20_13_e_e_g_3g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP20, then the space-group number 13, then the Wyckoff letters occupied by each element in turn (Ag: 2e; Cr: 2e; P: 4g; S: 4g; S: 4g; S: 4g). 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 ABC2D6_mP20_13_e_e_g_3g-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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