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NaMn₇O₁₂

Cubic · space group Im-3 (No. 204) · Pearson cI40

Symmetry elements and Wyckoff positions (interactive)

NaMn₇O₁₂ in Im-3

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

Unit cell

Lattice constants
a = 7.312 Å, b = 7.312 Å, c = 7.312 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
390.9 ų
Atoms in the conventional cell
40 (Na 2, Mn 14, O 24)
Formula units Z
2
Pearson symbol
cI40 — cubic, body-centred lattice, 40 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na3Na2a20.00000.00000.0000
Mn1Mn6b60.00000.50000.5000
Mn2Mn8c80.25000.25000.2500
O4O24g240.00000.31280.1829

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 48 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

A7BC12_cI40_204_bc_a_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI40, then the space-group number 204, then the Wyckoff letters occupied by each element in turn (Na: 2a; Mn: 6b; Mn: 8c; O: 24g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

SrMn₇O₁₂ <!--beginning with an

Note: Quadruple Perovskite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7BC12_cI40_204_bc_a_g-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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