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Crystal Lab › Prototype structures › Tetragonal

Ba₁₉Li₄₄

Tetragonal · space group I-42d (No. 122) · Pearson tI252

Symmetry elements and Wyckoff positions (interactive)

Ba₁₉Li₄₄ in I-42d

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

Unit cell

Lattice constants
a = 16.391 Å, b = 16.391 Å, c = 32.712 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
8788.7 ų
Atoms in the conventional cell
252 (Ba 76, Li 176)
Formula units Z
4
Pearson symbol
tI252 — tetragonal, body-centred lattice, 252 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ba1Ba4a40.00000.00000.0000
Ba2Ba8c80.00000.00000.5952
Li7Li8d80.49030.25000.1250
Li8Li8d80.96070.25000.1250
Ba3Ba16e160.61190.59590.2020
Ba4Ba16e160.91520.60000.0502
Ba5Ba16e160.50430.80880.2510
Ba6Ba16e160.85700.84930.0749
Li10Li16e160.78150.06190.0321
Li11Li16e160.73400.01910.1307
Li12Li16e160.63460.66220.3152
Li13Li16e160.07270.56260.1434
Li14Li16e160.74350.77050.2586
Li15Li16e160.61580.13760.0683
Li16Li16e160.65110.17650.1609
Li17Li16e160.78740.57520.2830
Li18Li16e160.78500.18730.0945
Li9Li16e160.67230.67080.0844

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 252 atoms drawn above are these sites multiplied by all 16 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

A19B44_tI252_122_ac4e_2d10e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tI252, then the space-group number 122, then the Wyckoff letters occupied by each element in turn (Ba: 4a; Ba: 8c; Li: 8d; Li: 8d; Ba: 16e; Ba: 16e; Ba: 16e; Ba: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e; Li: 16e). 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 A19B44_tI252_122_ac4e_2d10e-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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