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
SettingUnit 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
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Ti1 | Ti | 2b | 2 | 0.0000 | 0.0000 | 0.0000 |
| Sb2 | Sb | 4d | 4 | 0.3333 | 0.6667 | 0.0000 |
| La3 | La | 6g | 6 | 0.6176 | 0.0000 | 0.2500 |
| Sb4 | Sb | 6g | 6 | 0.2507 | 0.0000 | 0.2500 |
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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