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Crystal Lab › Prototype structures › Monoclinic

α-Bi₄V₂O₁₁ Bi₄O₁₁V₂

Monoclinic · space group C121 (No. 5) · Pearson mC112

Symmetry elements and Wyckoff positions (interactive)

α-Bi₄V₂O₁₁ in C121

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

Unit cell

Lattice constants
a = 5.611 Å, b = 15.271 Å, c = 16.595 Å; α = 90.00°, β = 90.26°, γ = 90.00°
Cell volume
1421.8 ų
Atoms in the conventional cell
112 (O 72, Bi 24, V 16)
Formula units Z
8
Pearson symbol
mC112 — monoclinic, base-centred lattice, 112 atoms per conventional cell
Symmetry operations
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O7O2a20.00000.25000.0000
O8O2a20.00000.73400.0000
O10O2b20.00000.74100.5000
O9O2b20.00000.26100.5000
Bi1Bi4c40.28650.66200.9142
Bi2Bi4c40.77940.82200.9154
Bi3Bi4c40.72610.66800.7471
Bi4Bi4c40.22150.83100.7558
Bi5Bi4c40.24110.67100.5880
Bi6Bi4c40.71310.83400.5827
O11O4c40.53300.74300.8380
O12O4c40.52300.74900.6740
O13O4c40.99200.75400.6660
O14O4c40.00600.74500.1600
O15O4c40.32000.59000.7750
O16O4c40.68900.59000.9290
O17O4c40.74100.60500.5770
O18O4c40.17100.90200.9270
O19O4c40.86600.90900.7770
O20O4c40.55200.52600.6560
O21O4c40.65400.99000.9506
O22O4c40.06800.52800.6600
O23O4c40.92200.50100.8114
O24O4c40.33300.89000.6200
O25O4c40.88600.93900.4860
O26O4c40.58500.98200.4960
V27V4c40.68000.99300.7562
V28V4c40.30300.99900.9327
V29V4c40.16700.99500.5620
V30V4c40.28200.99200.5750

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 112 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

A3B9C2_mC112_5_6c_2a2b16c_4c-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol mC112, then the space-group number 5, then the Wyckoff letters occupied by each element in turn (O: 2a; O: 2a; O: 2b; O: 2b; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; Bi: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; O: 4c; V: 4c; V: 4c; V: 4c; V: 4c). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Note: α-Bi₄V₂O₁₁.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A3B9C2_mC112_5_6c_2a2b16c_4c-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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