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Crystal Lab › Prototype structures › Tetragonal

LaB₂C₂

Tetragonal · space group P42/mmc (No. 131) · Pearson tP10

Symmetry elements and Wyckoff positions (interactive)

LaB₂C₂ in P42/mmc

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

Unit cell

Lattice constants
a = 3.822 Å, b = 3.822 Å, c = 7.924 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
115.7 ų
Atoms in the conventional cell
10 (La 2, B 4, C 4)
Formula units Z
2
Pearson symbol
tP10 — tetragonal, primitive lattice, 10 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
La3La2f20.50000.50000.2500
B1B4j40.27400.00000.0000
C2C4l40.67300.00000.5000

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 10 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

A2B2C_tP10_131_j_l_f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP10, then the space-group number 131, then the Wyckoff letters occupied by each element in turn (La: 2f; B: 4j; C: 4l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

CaB₂C₂, CeB₂C₂, DyB₂C₂, EuB₂C₂, GdB₂C₂, HoB₂C₂, LuB₂C₂, NdB₂C₂, PrB₂C₂, SmB₂C₂, TbB₂C₂, TmB₂C₂, YB₂C₂, YbB₂C₂ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B2C_tP10_131_j_l_f-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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