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Crystal Lab › Prototype structures › Hexagonal

Hexagonal α-Ca₂SiO₄ Ca₂O₄Si

Hexagonal · space group P63/mmc (No. 194) · Pearson hP32

Symmetry elements and Wyckoff positions (interactive)

Hexagonal α-Ca₂SiO₄ in P63/mmc

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

Unit cell

Lattice constants
a = 5.532 Å, b = 5.532 Å, c = 7.327 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
194.2 ų
Atoms in the conventional cell
32 (Ca 6, Si 2, O 24)
Formula units Z
2
Pearson symbol
hP32 — hexagonal / trigonal, primitive lattice, 32 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca1Ca2a20.00001.00000.0000
Si5Si2c20.33330.66670.2500
Ca2Ca4f40.33330.66670.7373
O3O12k120.27210.54420.4595
O4O12k120.17410.34820.2018

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 32 atoms drawn above are these sites multiplied by all 24 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

A3B12C_hP32_194_af_2k_c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP32, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Ca: 2a; Si: 2c; Ca: 4f; O: 12k; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Hexagonal α-Ca₂SiO₄.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B12C_hP32_194_af_2k_c-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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