Skip to content

Crystal Lab › Prototype structures › Tetragonal

Zr₅Si₄

Tetragonal · space group P41212 (No. 92) · Pearson tP36

Symmetry elements and Wyckoff positions (interactive)

Zr₅Si₄ in P41212

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

Unit cell

Lattice constants
a = 7.122 Å, b = 7.122 Å, c = 13.000 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
659.4 ų
Atoms in the conventional cell
36 (Zr 20, Si 16)
Formula units Z
4
Pearson symbol
tP36 — tetragonal, primitive lattice, 36 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Zr3Zr4a40.32600.32600.0000
Si1Si8b80.21000.14100.6750
Si2Si8b80.30800.94500.0620
Zr4Zr8b80.35000.00300.4650
Zr5Zr8b80.14100.00400.8470

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 36 atoms drawn above are these sites multiplied by all 8 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

A4B5_tP36_92_2b_a2b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP36, then the space-group number 92, then the Wyckoff letters occupied by each element in turn (Zr: 4a; Si: 8b; Si: 8b; Zr: 8b; Zr: 8b). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ce₅Si₄, Hf₅Si₄, La₅Si₄, Nb₅Si₄, Pr₅Si₄, Ti₅Si₄, Zr₅Ge₄, Pr₅Si₂Ge₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B5_tP36_92_2b_a2b-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.

← Tetragonal (red) ZnP₂  ·  Space group P41212 (9 prototypes)  ·  All prototypes  ·  Maucherite (Ni₁₁As₈) →