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Crystal Lab › Prototype structures › Monoclinic

β-CaC₂O₄ C₂CaO₄

Monoclinic · space group P12/m1 (No. 10) · Pearson mP28

Symmetry elements and Wyckoff positions (interactive)

β-CaC₂O₄ in P12/m1

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

Unit cell

Lattice constants
a = 9.653 Å, b = 7.515 Å, c = 11.487 Å; α = 90.00°, β = 147.06°, γ = 90.00°
Cell volume
453.2 ų
Atoms in the conventional cell
28 (C 8, Ca 4, O 16)
Formula units Z
4
Pearson symbol
mP28 — monoclinic, primitive lattice, 28 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C2i20.00000.10340.0000
C2C2j20.50000.60370.0000
C3C2m20.99730.00000.5658
Ca4Ca2m20.58990.00000.9102
O5O2m20.21630.00000.7695
O6O2m20.14870.00000.4666
C7C2n20.63420.50000.5658
Ca8Ca2n20.73380.50000.9101
O9O2n20.71560.50000.5335
O10O2n20.82270.50000.7695
O11O4o40.56610.67990.9525
O12O4o40.16150.17960.0479

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 28 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

A2BC4_mP28_10_ijmn_mn_2m2n2o-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP28, then the space-group number 10, then the Wyckoff letters occupied by each element in turn (C: 2i; C: 2j; C: 2m; Ca: 2m; O: 2m; O: 2m; C: 2n; Ca: 2n; O: 2n; O: 2n; O: 4o; O: 4o). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: \betaCaC₂O₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2BC4_mP28_10_ijmn_mn_2m2n2o-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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