Skip to content

Crystal Lab › Prototype structures › Cubic

Murataite [(Y,Na)₆(Zn,Fe)₅Ti₁₂O₂₉(O,F)₁₀F₄]

Cubic · space group F-43m (No. 216) · Pearson cF316 · mineral: murataite

Symmetry elements and Wyckoff positions (interactive)

Murataite [(Y,Na)₆(Zn,Fe)₅Ti₁₂O₂₉(O,F)₁₀F₄] in F-43m

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

Unit cell

Lattice constants
a = 14.886 Å, b = 14.886 Å, c = 14.886 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
3298.6 ų
Atoms in the conventional cell
316 (Zn 20, F 64, O 160, Y 24, Ti 48)
Formula units Z
4
Pearson symbol
cF316 — cubic, face-centred lattice, 316 atoms per conventional cell
Symmetry operations
96 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zn10Zn4a40.00000.00000.0000
F1F16e160.57900.57900.5790
O3O16e160.92620.92620.9262
Zn11Zn16e160.67220.67220.6722
Y9Y24f240.68120.00000.0000
O4O24g240.76700.25000.2500
O5O24g240.01500.25000.2500
F2F48h480.89400.89400.4150
O6O48h480.92710.92710.2024
O7O48h480.10380.10380.7580
Ti8Ti48h480.83710.83710.9913

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 316 atoms drawn above are these sites multiplied by all 96 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

A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol cF316, then the space-group number 216, then the Wyckoff letters occupied by each element in turn (Zn: 4a; F: 16e; O: 16e; Zn: 16e; Y: 24f; O: 24g; O: 24g; F: 48h; O: 48h; O: 48h; Ti: 48h). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: Murataite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A16B40C12D6E5_cF316_216_eh_e2g2h_h_f_ae-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.

← Zunyite [Al₁₃(OH,F)₁₈Si₅O₂₀Cl (S0₈)]  ·  Space group F-43m (22 prototypes)  ·  All prototypes  ·  Li₁₇Pb₄ →