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Na₂Mn₃Cl₈

Trigonal · space group R-3m (No. 166) · Pearson hR13

Symmetry elements and Wyckoff positions (interactive)

Na₂Mn₃Cl₈ in R-3m

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

Unit cell

Lattice constants
a = 7.456 Å, b = 7.456 Å, c = 19.591 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
943.3 ų
Atoms in the conventional cell
39 (Cl 24, Na 6, Mn 9)
Formula units Z
3
Pearson symbol
hR13 — hexagonal / trigonal, rhombohedral lattice, 13 atoms per conventional cell
Symmetry operations
36 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Cl1Cl6c60.00000.00000.4072
Na4Na6c60.00000.00000.1570
Mn3Mn9e90.50000.00000.0000
Cl2Cl18h180.49870.50130.4052

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 39 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

A8B3C2_hR13_166_ch_e_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hR13, then the space-group number 166, then the Wyckoff letters occupied by each element in turn (Cl: 6c; Na: 6c; Mn: 9e; Cl: 18h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ca₂Pt₃O₈, Na₂Cd₃Cl₈, Na₂Fe₃Cl₈, Na₂Mg₃Cl₈, α-Na₂Ti₃Cl₈ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B3C2_hR13_166_ch_e_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.

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