Skip to content

Crystal Lab › Prototype structures › Monoclinic

β-K₂Bi₈Se₁₃ Bi₈K₂Se₁₃

Monoclinic · space group P121/m1 (No. 11) · Pearson mP46

Symmetry elements and Wyckoff positions (interactive)

β-K₂Bi₈Se₁₃ in P121/m1

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

Unit cell

Lattice constants
a = 17.492 Å, b = 4.205 Å, c = 18.461 Å; α = 90.00°, β = 90.49°, γ = 90.00°
Cell volume
1357.8 ų
Atoms in the conventional cell
46 (Bi 16, K 4, Se 26)
Formula units Z
2
Pearson symbol
mP46 — monoclinic, primitive lattice, 46 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Bi1Bi2e20.08080.25000.9215
Bi2Bi2e20.82710.25000.8761
Bi3Bi2e20.32730.25000.9816
Bi4Bi2e20.10620.25000.5239
Bi5Bi2e20.69540.25000.4509
Bi6Bi2e20.01450.25000.2524
Bi7Bi2e20.50610.25000.6118
Bi8Bi2e20.29360.25000.3281
K9K2e20.73230.25000.2102
K10K2e20.49000.25000.1560
Se11Se2e20.98290.25000.4039
Se12Se2e20.10190.25000.7736
Se13Se2e20.80580.25000.0596
Se14Se2e20.61150.25000.7227
Se15Se2e20.80980.25000.5582
Se16Se2e20.22910.25000.6289
Se17Se2e20.04300.25000.0924
Se18Se2e20.86660.25000.7340
Se19Se2e20.36640.25000.8361
Se20Se2e20.57390.25000.9894
Se21Se2e20.57640.25000.3224
Se22Se2e20.27760.25000.1493
Se23Se2e20.39230.25000.4642

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 46 atoms drawn above are these sites multiplied by all 4 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

A8B2C13_mP46_11_8e_2e_13e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mP46, then the space-group number 11, then the Wyckoff letters occupied by each element in turn (Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; Bi: 2e; K: 2e; K: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e; Se: 2e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Eu₄Bi₆Se₁₃, Sr₄Bi₆Se₁₃ <!--beginning with an

Note: \beta-phase.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A8B2C13_mP46_11_8e_2e_13e-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.

← Li₇Sn₃  ·  Space group P121/m1 (19 prototypes)  ·  All prototypes  ·  Barytocalcite (BaCa(CO₃)₂) →