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Crystal Lab › Prototype structures › Orthorhombic

Benzene

Orthorhombic · space group Pbca (No. 61) · Pearson oP48 · mineral: benzene

Symmetry elements and Wyckoff positions (interactive)

Benzene in Pbca

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

Unit cell

Lattice constants
a = 6.914 Å, b = 7.476 Å, c = 9.563 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
494.3 ų
Atoms in the conventional cell
48 (C 24, H 24)
Formula units Z
24
Pearson symbol
oP48 — orthorhombic, primitive lattice, 48 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C8c80.12970.57620.4080
C2C8c80.12350.63280.5452
C3C8c80.00570.44320.3629
H4H8c80.21720.62750.3460
H5H8c80.20680.72250.5756
H6H8c80.00950.40510.2704

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 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

AB_oP48_61_3c_3c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP48, then the space-group number 61, then the Wyckoff letters occupied by each element in turn (C: 8c; C: 8c; C: 8c; H: 8c; H: 8c; H: 8c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Benzene.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB_oP48_61_3c_3c-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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