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Crystal Lab › Prototype structures › Orthorhombic

Bertrandite (Be₄Si₂O₇(OH)₂, S4₆)

Orthorhombic · space group Cmc21 (No. 36) · Pearson oC60 · Strukturbericht S46 · mineral: bertrandite

Symmetry elements and Wyckoff positions (interactive)

Bertrandite (Be₄Si₂O₇(OH)₂, S4₆) in Cmc21

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

Unit cell

Lattice constants
a = 8.713 Å, b = 15.268 Å, c = 4.568 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
607.8 ų
Atoms in the conventional cell
60 (O 36, Be 16, Si 8)
Formula units Z
4
Pearson symbol
oC60 — orthorhombic, base-centred lattice, 60 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O3O4a40.00000.58520.5951
OH7O4a40.00000.75530.0886
OH8O4a40.00000.08720.0993
Be1Be8b80.67350.55270.1628
Be2Be8b80.82640.72030.1517
O4O8b80.78970.62440.0000
O5O8b80.71010.54310.5074
O6O8b80.79340.70930.5024
Si9Si8b80.82540.61440.6523

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 60 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

A4B7C2D2_oC60_36_2b_a3b_2a_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC60, then the space-group number 36, then the Wyckoff letters occupied by each element in turn (O: 4a; O: 4a; O: 4a; Be: 8b; Be: 8b; O: 8b; O: 8b; O: 8b; Si: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: S4₆, Bertrandite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B7C2D2_oC60_36_2b_a3b_2a_b-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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