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Mayenite (12 CaOcdot7Al₂O₃, K7_4, C12A7)

Cubic · space group I-43d (No. 220) · Pearson cI152 · Strukturbericht K74 · mineral: mayenite

Symmetry elements and Wyckoff positions (interactive)

Mayenite (12 CaOcdot7Al₂O₃, K7_4, C12A7) in I-43d

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

Unit cell

Lattice constants
a = 11.979 Å, b = 11.979 Å, c = 11.979 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1719.1 ų
Atoms in the conventional cell
152 (Al 28, O 76, Ca 48)
Formula units Z
4
Pearson symbol
cI152 — cubic, body-centred lattice, 152 atoms per conventional cell
Symmetry operations
48 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Al1Al12a120.37500.00000.2500
O5O12b120.87500.00000.2500
Al2Al16c160.98120.98120.9812
O6O16c160.56480.56480.5648
Ca3Ca24d240.10680.00000.2500
Ca4Ca24d240.06330.00000.2500
O7O48e480.94290.84950.0367

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 152 atoms drawn above are these sites multiplied by all 48 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

A7B12C19_cI152_220_ac_2d_bce-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cI152, then the space-group number 220, then the Wyckoff letters occupied by each element in turn (Al: 12a; O: 12b; Al: 16c; O: 16c; Ca: 24d; Ca: 24d; O: 48e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: K7₄, Mayenite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A7B12C19_cI152_220_ac_2d_bce-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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