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Crystal Lab › Prototype structures › Tetragonal

Li₃[AlP₂O₇F(OH)](H₂O)_{0.5}

Tetragonal · space group P4 (No. 75) · Pearson tP90

Symmetry elements and Wyckoff positions (interactive)

Li₃[AlP₂O₇F(OH)](H₂O)_{0.5} in P4

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

Unit cell

Lattice constants
a = 10.990 Å, b = 10.990 Å, c = 5.995 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
724.0 ų
Atoms in the conventional cell
90 (H 2, Al 4, F 4, Li 20, O 44, P 16)
Formula units Z
2
Pearson symbol
tP90 — tetragonal, primitive lattice, 90 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
H2O1H1a10.00000.00000.0000
H2O2H1b10.50000.50000.5270
Al3Al4d40.75060.24990.2430
F4F4d40.85700.22360.0180
Li5Li4d40.74100.25200.7380
Li6Li4d40.01700.18900.9870
Li7Li4d40.47600.31900.4890
Li8Li4d40.48600.19400.4820
Li9Li4d40.00500.33700.9630
O10O4d40.62720.23770.0230
O11O4d40.64320.27390.4680
O12O4d40.87240.26270.4620
O13O4d40.42040.24110.2040
O14O4d40.05970.26490.7060
O15O4d40.07900.25280.2810
O16O4d40.44190.24720.7840
O17O4d40.00300.44600.4920
O18O4d40.49400.05200.0160
O19O4d40.02200.10700.5430
O20O4d40.48600.40500.0230
P21P4d40.00530.29640.4850
P22P4d40.00250.22340.4870
P23P4d40.49470.20230.9966
P24P4d40.49640.27580.9960

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 90 atoms drawn above are these sites multiplied by all 4 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

A2B2CD10E22F8_tP90_75_d_d_ab_5d_11d_4d-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP90, then the space-group number 75, then the Wyckoff letters occupied by each element in turn (H: 1a; H: 1b; Al: 4d; F: 4d; Li: 4d; Li: 4d; Li: 4d; Li: 4d; Li: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4d; P: 4d; P: 4d; P: 4d; P: 4d). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2CD10E22F8_tP90_75_d_d_ab_5d_11d_4d-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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