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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ca2 | Ca | 4c | 4 | 0.2500 | 0.7500 | 0.7500 |
| Si17 | Si | 4d | 4 | 0.2500 | 0.7500 | 0.0000 |
| Ca3 | Ca | 4e | 4 | 0.2500 | 0.2500 | 0.1300 |
| Mg6 | Mg | 8f | 8 | 0.0000 | 0.0000 | 0.0000 |
| O7 | O | 8h | 8 | 0.0550 | 0.0550 | 0.2500 |
| Ag1 | Ag | 16k | 16 | 0.1100 | 0.8900 | 0.8700 |
| Ca4 | Ca | 16k | 16 | 0.8100 | 0.0500 | 0.8600 |
| Ca5 | Ca | 16k | 16 | 0.1700 | 0.0900 | 0.8800 |
| O10 | O | 16k | 16 | 0.2200 | 0.9400 | 0.9200 |
| O11 | O | 16k | 16 | 0.9300 | 0.1300 | 0.9800 |
| O12 | O | 16k | 16 | 0.0100 | 0.8300 | 0.8200 |
| O13 | O | 16k | 16 | 0.7800 | 0.8700 | 0.9300 |
| O14 | O | 16k | 16 | 0.9500 | 0.8200 | 0.1800 |
| O15 | O | 16k | 16 | 0.9200 | 0.9000 | 0.9300 |
| O8 | O | 16k | 16 | 0.8300 | 0.2200 | 0.0800 |
| O9 | O | 16k | 16 | 0.8700 | 0.1600 | 0.7800 |
| OH16 | O | 16k | 16 | 0.0600 | 0.9900 | 0.8300 |
| Si18 | Si | 16k | 16 | 0.9500 | 0.1900 | 0.8700 |
| Si19 | Si | 16k | 16 | 0.9100 | 0.8300 | 0.8700 |
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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