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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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
F2F2a20.00000.00000.0000
K5K2b20.00000.00000.5000
O6O8g80.13690.63690.2500
Ca1Ca8h80.10940.24660.0000
H3H16i160.45150.17700.0775
H4H16i160.23620.47060.1198
O7O16i160.08460.18910.2178
O8O16i160.26360.10260.0923
O9O16i160.21310.44910.0898
Si10Si16i160.22560.08650.1900

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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