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Crystal Lab › Prototype structures › Orthorhombic

LiNb₆O₁₅F

Orthorhombic · space group Pmma (No. 51) · Pearson oP46

Symmetry elements and Wyckoff positions (interactive)

LiNb₆O₁₅F in Pmma

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

Unit cell

Lattice constants
a = 16.635 Å, b = 3.964 Å, c = 8.888 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
586.1 ų
Atoms in the conventional cell
46 (Li 2, O 30, Nb 12, F 2)
Formula units Z
2
Pearson symbol
oP46 — orthorhombic, primitive lattice, 46 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Li2Li2b20.00000.50000.0000
O7O2c20.00000.00000.5000
Nb3Nb2e20.25000.00000.5578
Nb4Nb2e20.25000.00000.1874
O8O2e20.25000.00000.9582
F1F2f20.25000.50000.1922
O9O2f20.25000.50000.5524
Nb5Nb4i40.13050.00000.8973
Nb6Nb4i40.05930.00000.3146
O10O4i40.13090.00000.1149
O11O4i40.17440.00000.3823
O12O4i40.16360.00000.6963
O13O4i40.02060.00000.8386
O14O4j40.12860.50000.8998
O15O4j40.05830.50000.3170

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_oP46_51_f_b_2e2i_cef4i2j-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP46, then the space-group number 51, then the Wyckoff letters occupied by each element in turn (Li: 2b; O: 2c; Nb: 2e; Nb: 2e; O: 2e; F: 2f; O: 2f; Nb: 4i; Nb: 4i; O: 4i; O: 4i; O: 4i; O: 4i; O: 4j; O: 4j). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC6D15_oP46_51_f_b_2e2i_cef4i2j-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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