Crystal Lab › Prototype structures › Monoclinic
CuInP₂S₆
Monoclinic · space group C1c1 (No. 9) · Pearson mC44
Symmetry elements and Wyckoff positions (interactive)
CuInP₂S₆ in C1c1
SettingUnit cell
- Lattice constants
- a = 6.096 Å, b = 10.565 Å, c = 13.623 Å; α = 90.00°, β = 107.10°, γ = 90.00°
- Cell volume
- 838.5 ų
- Atoms in the conventional cell
- 44 (Cu 8, In 4, P 8, S 24)
- Formula units Z
- 4
- Pearson symbol
- mC44 — monoclinic, base-centred lattice, 44 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Cu1 | Cu | 4a | 4 | 0.9043 | 0.3355 | 0.6131 |
| Cu2 | Cu | 4a | 4 | 0.0690 | 0.3350 | 0.8510 |
| In3 | In | 4a | 4 | 0.0000 | 0.0019 | 0.7500 |
| P4 | P | 4a | 4 | 0.4314 | 0.1690 | 0.6509 |
| P5 | P | 4a | 4 | 0.5495 | 0.1674 | 0.8212 |
| S6 | S | 4a | 4 | 0.7192 | 0.1512 | 0.6050 |
| S7 | S | 4a | 4 | 0.7668 | 0.1645 | 0.1070 |
| S8 | S | 4a | 4 | 0.2155 | 0.0177 | 0.6050 |
| S9 | S | 4a | 4 | 0.2600 | 0.1727 | 0.8664 |
| S10 | S | 4a | 4 | 0.2445 | 0.1747 | 0.3596 |
| S11 | S | 4a | 4 | 0.2278 | 0.4943 | 0.3621 |
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 44 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
A2BC2D6_mC44_9_2a_a_2a_6a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC44, then the space-group number 9, then the Wyckoff letters occupied by each element in turn (Cu: 4a; Cu: 4a; In: 4a; P: 4a; P: 4a; S: 4a; S: 4a; S: 4a; S: 4a; S: 4a; S: 4a). 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 A2BC2D6_mC44_9_2a_a_2a_6a-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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