Crystal Lab › Prototype structures › Monoclinic
β-monoclinic Sulfur
Monoclinic · space group P121/c1 (No. 14) · Pearson mP64
Symmetry elements and Wyckoff positions (interactive)
β-monoclinic Sulfur in P121/c1
SettingUnit cell
- Lattice constants
- a = 16.128 Å, b = 10.855 Å, c = 10.790 Å; α = 90.00°, β = 137.64°, γ = 90.00°
- Cell volume
- 1272.9 ų
- Atoms in the conventional cell
- 64 (S 64)
- Formula units Z
- 64
- Pearson symbol
- mP64 — monoclinic, primitive lattice, 64 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| S10 | S | 4e | 4 | 0.9495 | 0.9290 | 0.7456 |
| S1 | S | 4e | 4 | 0.7667 | 0.5251 | 0.7368 |
| S11 | S | 4e | 4 | 0.9926 | 0.1125 | 0.8046 |
| S12 | S | 4e | 4 | 0.1553 | 0.1273 | 0.0763 |
| S13 | S | 4e | 4 | 0.1199 | 0.1709 | 0.2180 |
| S14 | S | 4e | 4 | 0.1266 | 0.0105 | 0.3232 |
| S15 | S | 4e | 4 | 0.9490 | 0.9534 | 0.1520 |
| S16 | S | 4e | 4 | 0.9101 | 0.8178 | 0.9844 |
| S2 | S | 4e | 4 | 0.8462 | 0.3555 | 0.8392 |
| S3 | S | 4e | 4 | 0.7428 | 0.2523 | 0.8450 |
| S4 | S | 4e | 4 | 0.6280 | 0.1439 | 0.6146 |
| S5 | S | 4e | 4 | 0.4602 | 0.2283 | 0.4221 |
| S6 | S | 4e | 4 | 0.4469 | 0.3154 | 0.2394 |
| S7 | S | 4e | 4 | 0.4867 | 0.4979 | 0.3087 |
| S8 | S | 4e | 4 | 0.6683 | 0.5246 | 0.4660 |
| S9 | S | 4e | 4 | 0.8217 | 0.8917 | 0.7394 |
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 64 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
A_mP64_14_16e-002: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP64, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e; S: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: \beta-monoclinic Sulfur.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_mP64_14_16e-002 (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.
← α-Se (A_{k}) · Space group P121/c1 (98 prototypes) · All prototypes