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Materials 2018, 11(5), 821; https://doi.org/10.3390/ma11050821

Ion Doping Effects on the Lattice Distortion and Interlayer Mismatch of Aurivillius-Type Bismuth Titanate Compounds

1
School of Mechanical Engineering, Chengdu University, Chengdu 610106, China
2
College of Materials Science and Engineering, Sichuan University, Chengdu 610065, China
3
School of Architecture and Civil Engineering, Chengdu University, Chengdu 610106, China
4
College of Architecture and Environment, Sichuan University, Chengdu 610065, China
5
School of Engineering, University of Liverpool, Liverpool L69 3GQ, UK
*
Authors to whom correspondence should be addressed.
Received: 28 March 2018 / Revised: 24 April 2018 / Accepted: 10 May 2018 / Published: 17 May 2018
(This article belongs to the Section Structure Analysis and Characterization)
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Abstract

Taking Bismuth Titanate (Bi4Ti3O12) as a Aurivillius-type compound with m = 3 for example, the ion (W6+/Cr3+) doping effect on the lattice distortion and interlayer mismatch of Bi4Ti3O12 structure were investigated by stress analysis, based on an elastic model. Since oxygen-octahedron rotates in the ab-plane, and inclines away from the c-axis, a lattice model for describing the status change of oxygen-octahedron was built according to the substituting mechanism of W6+/Cr3+ for Ti4+, which was used to investigate the variation of orthorhombic distortion degree (a/b) of Bi4Ti3O12 with the doping content. The analysis shows that the incorporation of W6+/Cr3+ into Bi4Ti3O12 tends to relieve the distortion of pseudo-perovskite layer, which also helps it to become more stiff. Since the bismuth-oxide layer expands while the pseudo-perovskite layer tightens, an analytic model for the plane stress distribution in the crystal lattice of Bi4Ti3O12 was developed from the constitutive relationship of alternating layer structure. The calculations reveal that the structural mismatch of Bi4Ti3O12 is constrained in the ab-plane of a unit cell, since both the interlayer mismatch degree and the total strain energy vary with the doping content in a similar trend to the lattice parameters of ab-plane. View Full-Text
Keywords: Bi4Ti3O12; lattice distortion; interlayer mismatch; oxygen-octahedron; elastic model Bi4Ti3O12; lattice distortion; interlayer mismatch; oxygen-octahedron; elastic model
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Chen, Y.; Xu, J.; Xie, S.; Tan, Z.; Nie, R.; Guan, Z.; Wang, Q.; Zhu, J. Ion Doping Effects on the Lattice Distortion and Interlayer Mismatch of Aurivillius-Type Bismuth Titanate Compounds. Materials 2018, 11, 821.

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