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Crystal Lab › Prototype structures › Triclinic

Li₄Ba(BN₂)₂

Triclinic · space group P-1 (No. 2) · Pearson aP22

Symmetry elements and Wyckoff positions (interactive)

Li₄Ba(BN₂)₂ in P-1

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

Unit cell

Lattice constants
a = 5.339 Å, b = 5.850 Å, c = 8.606 Å; α = 80.72°, β = 73.89°, γ = 89.87°
Cell volume
254.6 ų
Atoms in the conventional cell
22 (B 4, Ba 2, Li 8, N 8)
Formula units Z
2
Pearson symbol
aP22 — triclinic, primitive lattice, 22 atoms per conventional cell
Symmetry operations
2 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
B1B2i20.30300.22500.0938
B2B2i20.20500.34000.6046
Ba3Ba2i20.33920.68690.2512
Li4Li2i20.04100.16600.3830
Li5Li2i20.55600.17500.3910
Li6Li2i20.82600.43300.1360
Li7Li2i20.83100.01300.1360
N8N2i20.13900.24740.0005
N9N2i20.47600.20430.1816
N10N2i20.18600.56370.6227
N11N2i20.20340.11380.5966

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 22 atoms drawn above are these sites multiplied by all 2 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

A2BC4D4_aP22_2_2i_i_4i_4i-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol aP22, then the space-group number 2, then the Wyckoff letters occupied by each element in turn (B: 2i; B: 2i; Ba: 2i; Li: 2i; Li: 2i; Li: 2i; Li: 2i; N: 2i; N: 2i; N: 2i; N: 2i). 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 A2BC4D4_aP22_2_2i_i_4i_4i-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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