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Crystal Lab › Prototype structures › Tetragonal

Sr₂As₂O₇

Tetragonal · space group P43 (No. 78) · Pearson tP88

Symmetry elements and Wyckoff positions (interactive)

Sr₂As₂O₇ in P43

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

Unit cell

Lattice constants
a = 7.109 Å, b = 7.109 Å, c = 25.616 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
1294.5 ų
Atoms in the conventional cell
88 (As 16, O 56, Sr 16)
Formula units Z
8
Pearson symbol
tP88 — tetragonal, primitive lattice, 88 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
As1As4a40.14560.23410.6970
As2As4a40.22060.48280.7988
As3As4a40.18670.10520.2912
As4As4a40.24910.35440.1900
O10O4a40.07770.36810.7514
O11O4a40.27250.37510.6590
O12O4a40.05560.34270.0205
O13O4a40.32510.30370.5205
O14O4a40.48110.05460.5933
O15O4a40.00260.00090.3163
O16O4a40.38130.33340.8212
O17O4a40.28170.05760.7178
O18O4a40.16800.05030.9182
O5O4a40.45860.32990.0288
O6O4a40.09360.38990.1424
O7O4a40.41870.21470.1674
O8O4a40.10850.22610.2345
O9O4a40.29990.26260.3278
Sr19Sr4a40.26430.22690.4264
Sr20Sr4a40.02700.34820.5732
Sr21Sr4a40.15410.39580.9286
Sr22Sr4a40.37470.25770.0646

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 88 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

A2B7C2_tP88_78_4a_14a_4a-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP88, then the space-group number 78, then the Wyckoff letters occupied by each element in turn (As: 4a; As: 4a; As: 4a; As: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; O: 4a; Sr: 4a; Sr: 4a; Sr: 4a; Sr: 4a). 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 A2B7C2_tP88_78_4a_14a_4a-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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