Skip to content

Crystal Lab › Prototype structures › Orthorhombic

Ferroelectric NaNbO₃ P222₁ Lueshite Perovskite

Orthorhombic · space group P2221 (No. 17) · Pearson oP40

Symmetry elements and Wyckoff positions (interactive)

Ferroelectric NaNbO₃ P222₁ Lueshite Perovskite in P2221

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

Unit cell

Lattice constants
a = 5.504 Å, b = 5.568 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
4 per cell

Crystallographic sites

SiteElementWyckoffMultiplicityxyz
Na1Na2a20.48100.00000.0000
O2O2a20.97500.00000.0000
Na3Na2b20.01900.50000.0000
O4O2b20.52500.50000.0000
Na5Na2c20.00000.51900.2500
O6O2c20.00000.02500.2500
Na7Na2d20.50000.98100.2500
O8O2d20.50000.47500.2500
Nb9Nb4e40.01400.00500.3750
Nb10Nb4e40.51400.50500.3750
O11O4e40.25000.25000.3750
O12O4e40.75000.25000.3750
O13O4e40.25000.75000.3750
O14O4e40.75000.75000.3750

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 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

ABC3_oP40_17_abcd_2e_abcd4e-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 17, then the Wyckoff letters occupied by each element in turn (Na: 2a; O: 2a; Na: 2b; O: 2b; Na: 2c; O: 2c; Na: 2d; O: 2d; Nb: 4e; Nb: 4e; O: 4e; O: 4e; 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

BaCuO_{2+delta} (HP) <!--beginning with an

Note: Ferroelectric Lueshite.

Source

Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC3_oP40_17_abcd_2e_abcd4e-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.

← CsB₉O₁₄  ·  Space group P2221 (3 prototypes)  ·  All prototypes