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Crystal Lab › Prototype structures › Monoclinic

Hollandite (BaMn₂O₄)

Monoclinic · space group C12/m1 (No. 12) · Pearson mC26 · mineral: hollandite

Symmetry elements and Wyckoff positions (interactive)

Hollandite (BaMn₂O₄) in C12/m1

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

Unit cell

Lattice constants
a = 14.110 Å, b = 2.866 Å, c = 10.006 Å; α = 90.00°, β = 136.32°, γ = 90.00°
Cell volume
279.4 ų
Atoms in the conventional cell
26 (Ba 2, Mn 8, O 16)
Formula units Z
2
Pearson symbol
mC26 — monoclinic, base-centred lattice, 26 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba2a20.00000.00000.0000
Mn2Mn4i40.15310.00000.4890
Mn3Mn4i40.66830.00000.8165
O4O4i40.35050.00000.6449
O5O4i40.69810.00000.0401
O6O4i40.95690.00000.3021
O7O4i40.67690.00000.6351

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 26 atoms drawn above are these sites multiplied by all 8 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

AB4C8_mC26_12_a_2i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC26, then the space-group number 12, then the Wyckoff letters occupied by each element in turn (Ba: 2a; Mn: 4i; Mn: 4i; O: 4i; O: 4i; O: 4i; O: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Hollandite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB4C8_mC26_12_a_2i_4i-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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