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Crystal Lab › Prototype structures › Tetragonal

High Temperature Bi₅PbTi₃O₁₄Cl Bi₅ClO₁₄PbTi₃

Tetragonal · space group P4/mmm (No. 123) · Pearson tP24

Symmetry elements and Wyckoff positions (interactive)

High Temperature Bi₅PbTi₃O₁₄Cl in P4/mmm

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

Unit cell

Lattice constants
a = 3.894 Å, b = 3.894 Å, c = 22.675 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
343.8 ų
Atoms in the conventional cell
24 (Ti 3, Cl 1, O 14, Bi 6)
Formula units Z
1
Pearson symbol
tP24 — tetragonal, primitive lattice, 24 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Ti1Ti1b10.00000.00000.5000
Cl2Cl1c10.50000.50000.0000
O3O2e20.00000.50000.5000
Bi4Bi2g20.00000.00000.9126
O5O2g20.00000.00000.5851
O6O2g20.00000.00000.7636
Ti7Ti2g20.00000.00000.6851
Bi8Bi2h20.50000.50000.5969
Bi9Bi2h20.50000.50000.8008
O10O4i40.00000.50000.6700
O11O4i40.00000.50000.8620

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 24 atoms drawn above are these sites multiplied by all 16 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

A6BC14D3_tP24_123_g2h_c_e2g2i_bg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol tP24, then the space-group number 123, then the Wyckoff letters occupied by each element in turn (Ti: 1b; Cl: 1c; O: 2e; Bi: 2g; O: 2g; O: 2g; Ti: 2g; Bi: 2h; Bi: 2h; O: 4i; O: 4i). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: RT.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A6BC14D3_tP24_123_g2h_c_e2g2i_bg-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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