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Crystal Lab › Prototype structures › Tetragonal

Vesuvianite (Ca₁₀Al₄(Mg,Fe)₂Si₉O₃₄(OH)₄, S2₃)

Tetragonal · space group P4/nnc (No. 126) · Pearson tP252 · Strukturbericht S23 · mineral: vesuvianite

Symmetry elements and Wyckoff positions (interactive)

Vesuvianite (Ca₁₀Al₄(Mg,Fe)₂Si₉O₃₄(OH)₄, S2₃) in P4/nnc

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

Unit cell

Lattice constants
a = 15.630 Å, b = 15.630 Å, c = 11.830 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2890.0 ų
Atoms in the conventional cell
252 (Ca 40, Si 36, Mg 8, O 152, Ag 16)
Formula units Z
4
Pearson symbol
tP252 — tetragonal, primitive lattice, 252 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ca2Ca4c40.25000.75000.7500
Si17Si4d40.25000.75000.0000
Ca3Ca4e40.25000.25000.1300
Mg6Mg8f80.00000.00000.0000
O7O8h80.05500.05500.2500
Ag1Ag16k160.11000.89000.8700
Ca4Ca16k160.81000.05000.8600
Ca5Ca16k160.17000.09000.8800
O10O16k160.22000.94000.9200
O11O16k160.93000.13000.9800
O12O16k160.01000.83000.8200
O13O16k160.78000.87000.9300
O14O16k160.95000.82000.1800
O15O16k160.92000.90000.9300
O8O16k160.83000.22000.0800
O9O16k160.87000.16000.7800
OH16O16k160.06000.99000.8300
Si18Si16k160.95000.19000.8700
Si19Si16k160.91000.83000.8700

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 252 atoms drawn above are these sites multiplied by all 16 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

A4B10C2D34E4F9_tP252_126_k_ce2k_f_h8k_k_d2k-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP252, then the space-group number 126, then the Wyckoff letters occupied by each element in turn (Ca: 4c; Si: 4d; Ca: 4e; Mg: 8f; O: 8h; Ag: 16k; Ca: 16k; Ca: 16k; O: 16k; O: 16k; O: 16k; O: 16k; O: 16k; O: 16k; O: 16k; O: 16k; O: 16k; Si: 16k; Si: 16k). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: S2₃, Vesuvianite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B10C2D34E4F9_tP252_126_k_ce2k_f_h8k_k_d2k-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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