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Crystal Lab › Prototype structures › Trigonal

PbMnTeO₆

Trigonal · space group P312 (No. 149) · Pearson hP9

Symmetry elements and Wyckoff positions (interactive)

PbMnTeO₆ in P312

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

Unit cell

Lattice constants
a = 5.101 Å, b = 5.101 Å, c = 5.395 Å; α = 90.00°, β = 90.00°, γ = 120.00°
Cell volume
121.6 ų
Atoms in the conventional cell
9 (Mn 1, Pb 1, Te 1, O 6)
Formula units Z
1
Pearson symbol
hP9 — hexagonal / trigonal, primitive lattice, 9 atoms per conventional cell
Symmetry operations
6 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Mn1Mn1a10.00000.00000.0000
Pb3Pb1d10.33330.66670.5000
Te4Te1e10.66670.33330.0000
O2O6l60.71480.66860.8018

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 6 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

AB6CD_hP9_149_a_l_d_e-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 149, then the Wyckoff letters occupied by each element in turn (Mn: 1a; Pb: 1d; Te: 1e; O: 6l). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

BaGeTeO₆, NaNiIO₆, PbGeTeO₆, SrGeTeO₆, SrMnTeO₆ <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry AB6CD_hP9_149_a_l_d_e-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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