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Crystal Lab › Prototype structures › Orthorhombic

NaNb₆O₁₅F

Orthorhombic · space group Amm2 (No. 38) · Pearson oC46

Symmetry elements and Wyckoff positions (interactive)

NaNb₆O₁₅F in Amm2

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

Unit cell

Lattice constants
a = 3.949 Å, b = 10.192 Å, c = 14.721 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
592.5 ų
Atoms in the conventional cell
46 (Nb 12, O 30, F 2, Na 2)
Formula units Z
2
Pearson symbol
oC46 — orthorhombic, base-centred lattice, 46 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Nb3Nb2a20.00000.00000.0000
Nb4Nb2a20.00000.00000.2142
O7O2a20.00000.00000.8560
O8O2a20.00000.00000.5190
F1F2b20.50000.00000.0000
Na2Na2b20.50000.00000.4040
O9O2b20.50000.00000.2260
Nb5Nb4d40.00000.31860.0620
Nb6Nb4d40.00000.81530.8154
O10O4d40.00000.11900.1050
O11O4d40.00000.63300.8110
O12O4d40.00000.80500.9470
O13O4d40.00000.35100.1780
O14O4e40.50000.32400.0500
O15O4e40.50000.32300.3070

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 8 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

ABC6D15_oC46_38_b_b_2a2d_2ab4d2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oC46, then the space-group number 38, then the Wyckoff letters occupied by each element in turn (Nb: 2a; Nb: 2a; O: 2a; O: 2a; F: 2b; Na: 2b; O: 2b; Nb: 4d; Nb: 4d; O: 4d; O: 4d; O: 4d; O: 4d; O: 4e; O: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

NaNb₆O₁₅(OH) <!--beginning with an

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC6D15_oC46_38_b_b_2a2d_2ab4d2e-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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