Crystal Lab › Prototype structures › Monoclinic
Monoclinic (Hittorf's) Phosphorus
Monoclinic · space group P12/c1 (No. 13) · Pearson mP84 · mineral: hittorf's phosphorus
Symmetry elements and Wyckoff positions (interactive)
Monoclinic (Hittorf's) Phosphorus in P12/c1
SettingUnit cell
- Lattice constants
- a = 21.912 Å, b = 9.150 Å, c = 24.883 Å; α = 90.00°, β = 158.48°, γ = 90.00°
- Cell volume
- 1829.8 ų
- Atoms in the conventional cell
- 84 (P 84)
- Formula units Z
- 84
- Pearson symbol
- mP84 — monoclinic, primitive lattice, 84 atoms per conventional cell
- Symmetry operations
- 4 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| P10 | P | 4g | 4 | 0.9091 | 0.1588 | 0.9541 |
| P1 | P | 4g | 4 | 0.9379 | 0.2013 | 0.1194 |
| P11 | P | 4g | 4 | 0.6415 | 0.1388 | 0.7150 |
| P12 | P | 4g | 4 | 0.6593 | 0.9092 | 0.7040 |
| P13 | P | 4g | 4 | 0.3989 | 0.8726 | 0.4673 |
| P14 | P | 4g | 4 | 0.4422 | 0.6371 | 0.4753 |
| P15 | P | 4g | 4 | 0.1728 | 0.6371 | 0.2390 |
| P16 | P | 4g | 4 | 0.1620 | 0.4056 | 0.2062 |
| P17 | P | 4g | 4 | 0.8016 | 0.3891 | 0.9738 |
| P18 | P | 4g | 4 | 0.5132 | 0.1006 | 0.6868 |
| P19 | P | 4g | 4 | 0.2573 | 0.8238 | 0.4267 |
| P20 | P | 4g | 4 | 0.0839 | 0.6458 | 0.2512 |
| P2 | P | 4g | 4 | 0.9400 | 0.0326 | 0.0569 |
| P21 | P | 4g | 4 | 0.5446 | 0.3230 | 0.7452 |
| P3 | P | 4g | 4 | 0.6894 | 0.9477 | 0.8698 |
| P4 | P | 4g | 4 | 0.6914 | 0.7810 | 0.8078 |
| P5 | P | 4g | 4 | 0.4470 | 0.6787 | 0.6208 |
| P6 | P | 4g | 4 | 0.4766 | 0.5153 | 0.5806 |
| P7 | P | 4g | 4 | 0.2215 | 0.4493 | 0.3938 |
| P8 | P | 4g | 4 | 0.1908 | 0.2774 | 0.3075 |
| P9 | P | 4g | 4 | 0.8963 | 0.3907 | 0.9688 |
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 84 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_mP84_13_21g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP84, then the space-group number 13, then the Wyckoff letters occupied by each element in turn (P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g; P: 4g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: Hittorf's Phosphorus.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A_mP84_13_21g-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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