Skip to content

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

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

Unit 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

SiteElementWyckoffMultiplicityxyz
Si3Si1b10.00000.00000.5000
Ga1Ga2c20.33330.66670.0000
Mn2Mn3f30.24400.00000.0000
Tb4Tb3g30.56400.00000.5000

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 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 →