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Crystal Lab › Prototype structures › Monoclinic

Clinometaborite (β-HBO₂, monoclinic)

Monoclinic · space group P121/c1 (No. 14) · Pearson mP48 · mineral: clinometaborite

Symmetry elements and Wyckoff positions (interactive)

Clinometaborite (β-HBO₂, monoclinic) in P121/c1

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

Unit cell

Lattice constants
a = 6.771 Å, b = 8.842 Å, c = 7.122 Å; α = 90.00°, β = 93.26°, γ = 90.00°
Cell volume
425.7 ų
Atoms in the conventional cell
48 (B 12, H 12, O 24)
Formula units Z
12
Pearson symbol
mP48 — monoclinic, primitive lattice, 48 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B4e40.52200.71090.7382
B2B4e40.82860.66170.5985
B3B4e40.67050.45780.7676
H4H4e40.84900.38000.9800
H5H4e40.05100.64300.4530
H6H4e40.65800.44800.0670
O10O4e40.81760.51340.6443
O11O4e40.98200.71620.5021
O12O4e40.77630.45330.9667
O7O4e40.37920.80610.7879
O8O4e40.50550.56100.7840
O9O4e40.68410.76210.6462

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 48 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

ABC2_mP48_14_3e_3e_6e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP48, then the space-group number 14, then the Wyckoff letters occupied by each element in turn (B: 4e; B: 4e; B: 4e; H: 4e; H: 4e; H: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e; O: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Clinometaborite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_mP48_14_3e_3e_6e-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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