Skip to content

Crystal Lab › Prototype structures › Tetragonal

PPrS₄

Tetragonal · space group I41/acd (No. 142) · Pearson tI96

Symmetry elements and Wyckoff positions (interactive)

PPrS₄ in I41/acd

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

Unit cell

Lattice constants
a = 10.914 Å, b = 10.914 Å, c = 19.361 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2306.2 ų
Atoms in the conventional cell
96 (Pr 16, P 16, S 64)
Formula units Z
16
Pearson symbol
tI96 — tetragonal, body-centred lattice, 96 atoms per conventional cell
Symmetry operations
32 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Pr2Pr8a80.00000.25000.3750
Pr3Pr8b80.00000.25000.1250
P1P16e160.03750.00000.2500
S4S32g320.74820.81970.4133
S5S32g320.09230.11170.0025

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 96 atoms drawn above are these sites multiplied by all 32 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

ABC4_tI96_142_e_ab_2g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI96, then the space-group number 142, then the Wyckoff letters occupied by each element in turn (Pr: 8a; Pr: 8b; P: 16e; S: 32g; S: 32g). 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 ABC4_tI96_142_e_ab_2g-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.

← Sr₂IrO₄  ·  Space group I41/acd (11 prototypes)  ·  All prototypes  ·  NaPb →