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Crystal Lab › Prototype structures › Orthorhombic

Calciborite (CaB₂O₄ II)

Orthorhombic · space group Pccn (No. 56) · Pearson oP56 · mineral: calciborite

Symmetry elements and Wyckoff positions (interactive)

Calciborite (CaB₂O₄ II) in Pccn

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

Unit cell

Lattice constants
a = 8.380 Å, b = 13.820 Å, c = 5.006 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
579.8 ų
Atoms in the conventional cell
56 (B 16, Ca 8, O 32)
Formula units Z
8
Pearson symbol
oP56 — orthorhombic, primitive lattice, 56 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B8e80.53700.13900.6240
B2B8e80.74200.05200.3650
Ca3Ca8e80.38600.14300.1230
O4O8e80.39100.18500.6330
O5O8e80.74200.99100.1140
O6O8e80.59600.11200.3650
O7O8e80.88500.11200.3780

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 56 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

A2BC4_oP56_56_2e_e_4e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP56, then the space-group number 56, then the Wyckoff letters occupied by each element in turn (B: 8e; B: 8e; Ca: 8e; O: 8e; O: 8e; O: 8e; O: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Calciborite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_oP56_56_2e_e_4e-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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