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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

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08

Unit 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

SiteElementWyckoffMultiplicityxyz
P10P4g40.90910.15880.9541
P1P4g40.93790.20130.1194
P11P4g40.64150.13880.7150
P12P4g40.65930.90920.7040
P13P4g40.39890.87260.4673
P14P4g40.44220.63710.4753
P15P4g40.17280.63710.2390
P16P4g40.16200.40560.2062
P17P4g40.80160.38910.9738
P18P4g40.51320.10060.6868
P19P4g40.25730.82380.4267
P20P4g40.08390.64580.2512
P2P4g40.94000.03260.0569
P21P4g40.54460.32300.7452
P3P4g40.68940.94770.8698
P4P4g40.69140.78100.8078
P5P4g40.44700.67870.6208
P6P4g40.47660.51530.5806
P7P4g40.22150.44930.3938
P8P4g40.19080.27740.3075
P9P4g40.89630.39070.9688

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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