Crystal Lab › Prototype structures › Tetragonal
Apophyllite (KCa₄Si₈O₂₀Fcdot8H₂O, S5₂)
Tetragonal · space group P4/mnc (No. 128) · Pearson tP116 · Strukturbericht S52 · mineral: apophyllite
Symmetry elements and Wyckoff positions (interactive)
Apophyllite (KCa₄Si₈O₂₀Fcdot8H₂O, S5₂) in P4/mnc
SettingUnit cell
- Lattice constants
- a = 8.965 Å, b = 8.965 Å, c = 15.767 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 1267.2 ų
- Atoms in the conventional cell
- 116 (F 2, K 2, O 56, Ca 8, H 32, Si 16)
- Formula units Z
- 2
- Pearson symbol
- tP116 — tetragonal, primitive lattice, 116 atoms per conventional cell
- Symmetry operations
- 16 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| F2 | F | 2a | 2 | 0.0000 | 0.0000 | 0.0000 |
| K5 | K | 2b | 2 | 0.0000 | 0.0000 | 0.5000 |
| O6 | O | 8g | 8 | 0.1369 | 0.6369 | 0.2500 |
| Ca1 | Ca | 8h | 8 | 0.1094 | 0.2466 | 0.0000 |
| H3 | H | 16i | 16 | 0.4515 | 0.1770 | 0.0775 |
| H4 | H | 16i | 16 | 0.2362 | 0.4706 | 0.1198 |
| O7 | O | 16i | 16 | 0.0846 | 0.1891 | 0.2178 |
| O8 | O | 16i | 16 | 0.2636 | 0.1026 | 0.0923 |
| O9 | O | 16i | 16 | 0.2131 | 0.4491 | 0.0898 |
| Si10 | Si | 16i | 16 | 0.2256 | 0.0865 | 0.1900 |
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 116 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
A4BC16DE28F8_tP116_128_h_a_2i_b_g3i_i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP116, then the space-group number 128, then the Wyckoff letters occupied by each element in turn (F: 2a; K: 2b; O: 8g; Ca: 8h; H: 16i; H: 16i; O: 16i; O: 16i; O: 16i; Si: 16i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Note: S5₂, Apophyllite.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4BC16DE28F8_tP116_128_h_a_2i_b_g3i_i-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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