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Crystal Lab › Prototype structures › Tetragonal

La(HCO₂)(SO₄)(H₂O)

Tetragonal · space group P43 (No. 78) · Pearson tP52

Symmetry elements and Wyckoff positions (interactive)

La(HCO₂)(SO₄)(H₂O) in P43

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

Unit cell

Lattice constants
a = 6.999 Å, b = 6.999 Å, c = 11.820 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
579.1 ų
Atoms in the conventional cell
52 (C 4, H 12, La 4, O 28, S 4)
Formula units Z
4
Pearson symbol
tP52 — tetragonal, primitive lattice, 52 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
C1C4a40.65250.40710.2216
H2H4a40.67300.45700.2950
H3H4a40.95500.13700.4460
H4H4a40.91100.30800.4820
La5La4a40.14400.39210.2586
O10O4a40.17020.36630.0480
O11O4a40.49010.35650.1852
O12O4a40.93770.25360.4151
O6O4a40.04190.37270.8601
O7O4a40.96400.11310.9830
O8O4a40.80410.36320.1725
O9O4a40.15040.71610.1584
S13S4a40.11480.25020.9503

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 52 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

AB3CD7E_tP52_78_a_3a_a_7a_a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP52, then the space-group number 78, then the Wyckoff letters occupied by each element in turn (C: 4a; H: 4a; H: 4a; H: 4a; La: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; S: 4a). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ce(HCO₂)(SO₄)(H₂O), Eu(HCO₂)(SO₄)(H₂O), Nd(HCO₂)(SO₄)(H₂O), Pr(HCO₂)(SO₄)(H₂O) <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB3CD7E_tP52_78_a_3a_a_7a_a-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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