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Crystal Lab › Prototype structures › Hexagonal

La₃TiSb₅: A3B5C_hP18_193_g_dg_b-001 La₃Sb₅Ti

Hexagonal · space group P63/mcm (No. 193) · Pearson hP18

Symmetry elements and Wyckoff positions (interactive)

La₃TiSb₅: A3B5C_hP18_193_g_dg_b-001 in P63/mcm

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

Unit cell

Lattice constants
a = 9.526 Å, b = 9.526 Å, c = 6.278 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
493.4 ų
Atoms in the conventional cell
18 (Ti 2, Sb 10, La 6)
Formula units Z
2
Pearson symbol
hP18 — hexagonal / trigonal, primitive lattice, 18 atoms per conventional cell
Symmetry operations
24 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ti1Ti2b20.00000.00000.0000
Sb2Sb4d40.33330.66670.0000
La3La6g60.61760.00000.2500
Sb4Sb6g60.25070.00000.2500

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 18 atoms drawn above are these sites multiplied by all 24 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

A3B5C_hP18_193_g_dg_b-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP18, then the space-group number 193, then the Wyckoff letters occupied by each element in turn (Ti: 2b; Sb: 4d; La: 6g; Sb: 6g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Al₃NHf₅, Ba₃ScTe₅, Bi₃BrBa₅, Bi₃BrCa₅, Bi₃BrLa₅, Bi₃ClBa₅, Bi₃ClCa₅, Bi₃CuCe₅, Bi₃CuGd₅, Bi₃CuLa₅, Bi₃CuNd₅, Bi₃CuPr₅, Bi₃CuTb₅, Bi₃CuZr₅, Ce₃HfSb₅, Ce₃MnBi₅, Ce₃NbSb₅, Ce₃TiBi₅, Ce₃TiSb₅, Ce₃ZrSb₅, Ge₃CrLa₅, In₃AgZr₅, In₃BrLa₅, In₃CuSc₅, In₃CuZr₅, La₃CrAs₅, La₃HfBi₅, La₃HfSb₅, La₃MgBi₅, La₃MnBi₅, La₃NbSb₅, La₃ScBi₅, La₃TiAs₅, La₃TiBi₅, La₃TiP₅, La₃TiSb₅, La₃ZrBi₅, La₃ZrSb₅, Nd₃HfSb₅, Nd₃MnBi₅, Nd₃NbSb₅, Nd₃TiSb₅, Nd₃ZrSb₅, P₃NV₅, Pb₃AgCe₅, Pb₃AgLa₅, Pb₃AgZr₅, Pb₃AlZr₅, Pb₃AsLa₅, Pb₃AsZr₅, Pb₃CdZr₅, Pb₃CeLa₅, Pb₃CoLa₅, Pb₃CoZr₅, Pb₃CrLa₅, Pb₃CuCe₅, Pb₃CuHf₅, Pb₃CuLa₅, Pb₃CuY₅, Pb₃CuZr₅, Pb₃FeC

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B5C_hP18_193_g_dg_b-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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