Skip to content

Crystal Lab › Prototype structures › Trigonal

MoP₃SiO₁₁ (Rhombohedral Model)

Trigonal · space group R-3c (No. 167) · Pearson hR64

Symmetry elements and Wyckoff positions (interactive)

MoP₃SiO₁₁ (Rhombohedral Model) in R-3c

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

Unit cell

Lattice constants
a = 8.418 Å, b = 8.418 Å, c = 39.962 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
2452.1 ų
Atoms in the conventional cell
192 (O 132, Mo 12, Si 12, P 36)
Formula units Z
12
Pearson symbol
hR64 — hexagonal / trigonal, rhombohedral lattice, 64 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O2O6b60.00000.00000.0000
Mo1Mo12c120.00000.00000.1592
Si8Si12c120.00000.00000.4602
O3O18e180.21330.00000.2500
O4O36f360.86430.48450.7799
O5O36f360.18590.74180.7937
O6O36f360.90790.76920.8102
P7P36f360.99520.69980.7860

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 192 atoms drawn above are these sites multiplied by all 36 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

AB11C3D_hR64_167_c_be3f_f_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR64, then the space-group number 167, then the Wyckoff letters occupied by each element in turn (O: 6b; Mo: 12c; Si: 12c; O: 18e; O: 36f; O: 36f; O: 36f; P: 36f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Rhombohedral Model.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB11C3D_hR64_167_c_be3f_f_c-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.

← Cs₃Tl₂Cl₉ (K7₂)  ·  Space group R-3c (18 prototypes)  ·  All prototypes  ·  PrNiO₃ Rhombohedral Perovskite — NiO₃Pr →