Crystal Lab › Prototype structures › Hexagonal
Tb₃Mn₃Ga₂Si
Hexagonal · space group P-62m (No. 189) · Pearson hP9
Symmetry elements and Wyckoff positions (interactive)
Tb₃Mn₃Ga₂Si in P-62m
SettingUnit cell
- Lattice constants
- a = 6.990 Å, b = 6.990 Å, c = 4.274 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 180.9 ų
- Atoms in the conventional cell
- 9 (Si 1, Ga 2, Mn 3, Tb 3)
- Formula units Z
- 1
- Pearson symbol
- hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Si3 | Si | 1b | 1 | 0.0000 | 0.0000 | 0.5000 |
| Ga1 | Ga | 2c | 2 | 0.3333 | 0.6667 | 0.0000 |
| Mn2 | Mn | 3f | 3 | 0.2440 | 0.0000 | 0.0000 |
| Tb4 | Tb | 3g | 3 | 0.5640 | 0.0000 | 0.5000 |
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 9 atoms drawn above are these sites multiplied by all 12 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
A2B3CD3_hP9_189_c_f_b_g-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP9, then the space-group number 189, then the Wyckoff letters occupied by each element in turn (Si: 1b; Ga: 2c; Mn: 3f; Tb: 3g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Dy₃Mn₃Ga₂Si, Er₃Mn₃Ga₂Si, Ho₃Mn₃Ga₂Si, Lu₃Mn₃Ga₂Si, Tm₃Mn₃Ga₂Si <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A2B3CD3_hP9_189_c_f_b_g-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.
· Space group P-62m (12 prototypes) · All prototypes · Zr₆CoAs₂: A2BC6_hP9_189_c_b_fg-002 — As₂CoZr₃ →