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Crystal Lab › Prototype structures › Tetragonal

Pinnoite (MgB₂O[OH]₆)

Tetragonal · space group P42 (No. 77) · Pearson tP64 · mineral: pinnoite

Symmetry elements and Wyckoff positions (interactive)

Pinnoite (MgB₂O[OH]₆) in P42

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

Unit cell

Lattice constants
a = 7.614 Å, b = 7.614 Å, c = 8.190 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
474.8 ų
Atoms in the conventional cell
64 (O 28, B 8, H 24, Mg 4)
Formula units Z
4
Pearson symbol
tP64 — tetragonal, primitive lattice, 64 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O10O2a20.00000.00000.0000
O11O2b20.50000.50000.4650
B1B4d40.38330.37970.8830
B2B4d40.10800.11830.5970
H3H4d40.13800.40100.8090
H4H4d40.36400.10700.6610
H5H4d40.30800.14500.9420
H6H4d40.18800.36700.5300
H7H4d40.47200.36000.6400
H8H4d40.03000.15000.8200
Mg9Mg4d40.24830.25090.2380
O12O4d40.23980.48120.8130
O13O4d40.26840.01660.6490
O14O4d40.33560.24230.9940
O15O4d40.15940.26350.4770
O16O4d40.48180.28810.7400
O17O4d40.01920.19920.7330

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 4 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

A2B6CD7_tP64_77_2d_6d_d_ab6d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP64, then the space-group number 77, then the Wyckoff letters occupied by each element in turn (O: 2a; O: 2b; B: 4d; B: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; H: 4d; Mg: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Pinnoite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B6CD7_tP64_77_2d_6d_d_ab6d-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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