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Crystal Lab › Prototype structures › Orthorhombic

Smirnite (Bi₂TeO₅)

Orthorhombic · space group Aem2 (No. 39) · Pearson oC64 · mineral: smirnite

Symmetry elements and Wyckoff positions (interactive)

Smirnite (Bi₂TeO₅) in Aem2

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

Unit cell

Lattice constants
a = 11.602 Å, b = 16.461 Å, c = 5.523 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1054.8 ų
Atoms in the conventional cell
64 (O 40, Bi 16, Te 8)
Formula units Z
8
Pearson symbol
oC64 — orthorhombic, base-centred lattice, 64 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O4O4a40.00000.00000.3040
Bi1Bi4c40.62470.25000.5063
Bi2Bi4c40.87740.25000.0212
O5O4c40.79400.25000.3300
Bi3Bi8d80.89190.08550.4767
O6O8d80.76900.04200.1400
O7O8d80.57100.14900.2090
O8O8d80.97100.15800.1600
O9O8d80.70000.16100.7800
Te10Te8d80.63360.08040.0000

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 64 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

A2B5C_oC64_39_2cd_ac4d_d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC64, then the space-group number 39, then the Wyckoff letters occupied by each element in turn (O: 4a; Bi: 4c; Bi: 4c; O: 4c; Bi: 8d; O: 8d; O: 8d; O: 8d; O: 8d; Te: 8d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Smirnite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B5C_oC64_39_2cd_ac4d_d-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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