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Crystal Lab › Prototype structures › Hexagonal

Hexagonal Vaterite (CaCO₃)

Hexagonal · space group P63/mmc (No. 194) · Pearson hP26 · mineral: vaterite

Symmetry elements and Wyckoff positions (interactive)

Hexagonal Vaterite (CaCO₃) in P63/mmc

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

Unit cell

Lattice constants
a = 4.130 Å, b = 4.130 Å, c = 8.490 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
125.4 ų
Atoms in the conventional cell
26 (Ca 2, C 6, O 18)
Formula units Z
2
Pearson symbol
hP26 — hexagonal / trigonal, primitive lattice, 26 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca2Ca2a20.00000.00000.0000
C1C6h60.29000.58000.2500
O3O6h60.12000.24000.2500
O4O12k120.38000.76000.1200

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 26 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

A3BC9_hP26_194_h_a_hk-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP26, then the space-group number 194, then the Wyckoff letters occupied by each element in turn (Ca: 2a; C: 6h; O: 6h; O: 12k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Hexagonal Vaterite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3BC9_hP26_194_h_a_hk-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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