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Monoclinic BiMn₇O₁₂

Monoclinic · space group C1m1 (No. 8) · Pearson mC40

Symmetry elements and Wyckoff positions (interactive)

Monoclinic BiMn₇O₁₂ in C1m1

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

Unit cell

Lattice constants
a = 10.530 Å, b = 7.384 Å, c = 7.535 Å; α = 90.00°, β = 134.45°, γ = 90.00°
Cell volume
418.2 ų
Atoms in the conventional cell
40 (Bi 2, Mn 14, O 24)
Formula units Z
2
Pearson symbol
mC40 — monoclinic, base-centred lattice, 40 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Bi1Bi2a20.01730.00000.9889
Mn2Mn2a20.49510.00000.4921
Mn3Mn2a20.50190.00000.0022
Mn4Mn2a20.99780.00000.5023
O7O2a20.68270.00000.8461
O8O2a20.67550.00000.4839
O9O2a20.30310.00000.1289
O10O2a20.30940.00000.4842
Mn5Mn4b40.25400.74190.9998
Mn6Mn4b40.24590.24930.4983
O11O4b40.82820.30860.8372
O12O4b40.48950.32590.6814
O13O4b40.67650.18300.1598
O14O4b40.01120.18000.3316

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 40 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

AB7C12_mC40_8_a_3a2b_4a4b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC40, then the space-group number 8, then the Wyckoff letters occupied by each element in turn (Bi: 2a; Mn: 2a; Mn: 2a; Mn: 2a; O: 2a; O: 2a; O: 2a; O: 2a; Mn: 4b; Mn: 4b; O: 4b; O: 4b; O: 4b; O: 4b). 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 AB7C12_mC40_8_a_3a2b_4a4b-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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