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Crystal Lab › Prototype structures › Orthorhombic

Orthorhombic Nb₁₂O₂₉

Orthorhombic · space group Cmcm (No. 63) · Pearson oC164

Symmetry elements and Wyckoff positions (interactive)

Orthorhombic Nb₁₂O₂₉ in Cmcm

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

Unit cell

Lattice constants
a = 3.835 Å, b = 20.720 Å, c = 28.900 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
2296.4 ų
Atoms in the conventional cell
164 (O 116, Nb 48)
Formula units Z
4
Pearson symbol
oC164 — orthorhombic, base-centred lattice, 164 atoms per conventional cell
Symmetry operations
16 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
O7O4c40.00000.04000.2500
O8O4c40.00000.66000.2500
O9O4c40.00000.85000.2500
Nb1Nb8f80.00000.96700.9510
Nb2Nb8f80.00000.33000.9510
Nb3Nb8f80.00000.14800.9510
Nb4Nb8f80.00000.96600.8160
Nb5Nb8f80.00000.33100.8150
Nb6Nb8f80.00000.14800.8130
O10O8f80.00000.42000.9500
O11O8f80.00000.84000.9700
O12O8f80.00000.24000.9500
O13O8f80.00000.66000.9800
O14O8f80.00000.05000.9500
O15O8f80.00000.96000.8800
O16O8f80.00000.34000.8900
O17O8f80.00000.15000.8800
O18O8f80.00000.45000.8200
O19O8f80.00000.86000.8100
O20O8f80.00000.24000.8200
O21O8f80.00000.65000.8100
O22O8f80.00000.06000.8200

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 164 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

A12B29_oC164_63_6f_3c13f-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC164, then the space-group number 63, then the Wyckoff letters occupied by each element in turn (O: 4c; O: 4c; O: 4c; Nb: 8f; Nb: 8f; Nb: 8f; Nb: 8f; Nb: 8f; Nb: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f; O: 8f). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

Ti₂Nb₁₀O₂₉ <!--beginning with an

Note: Orthorhombic Phase.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A12B29_oC164_63_6f_3c13f-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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