Table 1 The strain, lattice parameters, ion positions, and compressive pressure as obtained from first principle calculations using density functional theory. The ion positions obtained are used for calculating the off-centre displacement in a cell. The results simulate the experimentally observed nonmonotonic particle-size-dependence of off-centre displacement in nanoscale BiFeO3.

From: Nonmonotonic particle-size-dependence of magnetoelectric coupling in strained nanosized particles of BiFeO3

Strain

(%)

a

(Å)

c

(Å)

Bi

x, y, z

Fe

x, y, z

O

x, y, z

0

5.446

13.144

0.0000 0.0000 −0.01244

0.0000 0.0000 0.21891

0.24436 0.89577 0.29104

−1.0

5.529

13.241

0.0000 0.0000 −0.00959

0.0000 0.0000 0.21896

0.24625 0.89726 0.29008

−2.0

5.500

13.472

0.0000 0.0000 0.00750

0.0000 0.0000 0.78156

0.01478 0.43679 0.04378

+1.0

5.539

12.825

0.0000 0.0000 −0.01461

0.0000 0.0000 0.21997

0.24855 0.89875 0.29142

+2.0

5.601

12.540

0.0000 0.0000 −0.01716

0.0000 0.0000 0.22091

0.25167 −0.09918 0.29195

−2.0 (0.063 GPa)

5.500

13.2156

0.0000 0.0000 −0.01656

0.0000 0.0000 0.22147

0.25116 −0.09957 0.29257

−2.0 (0.7 Gpa)

5.500

13.0542

0.0000 0.0000 −0.01659

0.0000 0.0000 0.22114

0.25082 −0.09975 0.2926

−2.0 (7.7 GPa)

5.500

12.8468

0.0000 0.0000 −0.01725

0.0000 0.0000 0.22037

0.24908 0.8993 0.29216