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Crystal Lab › Prototype structures › Trigonal

α (low) Quartz (SiO₂)

Trigonal · space group P3121 (No. 152) · Pearson hP9 · mineral: quartz

Symmetry elements and Wyckoff positions (interactive)

α (low) Quartz (SiO₂) in P3121

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

Unit cell

Lattice constants
a = 4.914 Å, b = 4.914 Å, c = 5.406 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
113.1 ų
Atoms in the conventional cell
9 (Si 3, O 6)
Formula units Z
3
Pearson symbol
hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Si1Si3a30.46990.00000.3333
O2O6c60.41300.26680.2140

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 9 atoms drawn above are these sites multiplied by all 6 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

A2B_hP9_152_c_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 152, then the Wyckoff letters occupied by each element in turn (Si: 3a; O: 6c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

GeO₂ <!--beginning with an

Note: α-Quartz.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B_hP9_152_c_a-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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