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Crystal Lab › Prototype structures › Orthorhombic

High Temperature SmBaMn₂O₆ BaMn₂O₆Sm

Orthorhombic · space group Cmmm (No. 65) · Pearson oC40

Symmetry elements and Wyckoff positions (interactive)

High Temperature SmBaMn₂O₆ in Cmmm

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

Unit cell

Lattice constants
a = 7.831 Å, b = 7.767 Å, c = 7.704 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
468.6 ų
Atoms in the conventional cell
40 (Ba 4, Sm 4, O 24, Mn 8)
Formula units Z
4
Pearson symbol
oC40 — orthorhombic, base-centred lattice, 40 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba4g40.25200.00000.0000
Sm8Sm4h40.25670.00000.5000
O3O4i40.00000.23710.0000
O4O4j40.00000.28320.5000
O5O4k40.00000.00000.2937
O6O4l40.00000.50000.2518
O7O8m80.25000.25000.2761
Mn2Mn8n80.00000.24980.2549

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 16 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

AB2C6D_oC40_65_g_n_ijklm_h-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC40, then the space-group number 65, then the Wyckoff letters occupied by each element in turn (Ba: 4g; Sm: 4h; O: 4i; O: 4j; O: 4k; O: 4l; O: 8m; Mn: 8n). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: HT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB2C6D_oC40_65_g_n_ijklm_h-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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