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Crystal Lab › Prototype structures › Orthorhombic

NaNbO₃ Pbcm Lueshite Perovskite

Orthorhombic · space group Pbcm (No. 57) · Pearson oP40 · mineral: lueshite

Symmetry elements and Wyckoff positions (interactive)

NaNbO₃ Pbcm Lueshite Perovskite in Pbcm

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

Unit cell

Lattice constants
a = 5.506 Å, b = 5.566 Å, c = 15.520 Å; α = 90.00°, β = 90.00°, γ = 90.00°
Cell volume
475.6 ų
Atoms in the conventional cell
40 (Na 8, O 24, Nb 8)
Formula units Z
8
Pearson symbol
oP40 — orthorhombic, primitive lattice, 40 atoms per conventional cell
Symmetry operations
8 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na1Na4c40.24300.25000.0000
O2O4c40.69600.25000.0000
Na3Na4d40.23900.21800.2500
O4O4d40.19100.76700.2500
Nb5Nb8e80.25660.77220.6262
O6O8e80.53600.53200.6400
O7O8e80.96600.96700.6100

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 40 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

ABC3_oP40_57_cd_e_cd2e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP40, then the space-group number 57, then the Wyckoff letters occupied by each element in turn (Na: 4c; O: 4c; Na: 4d; O: 4d; Nb: 8e; O: 8e; O: 8e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.

Other compounds with this structure

AgNbO₃, SrTiO₃, NaNb_{1-x}Ti_{x}O₃ <!--beginning with an

Note: Pbcm Lueshite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_oP40_57_cd_e_cd2e-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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