Clock-model description of incommensurate ferroelectric films and of nematic-liquid-crystal films
Abstract
The transmission electron micrographs of submicrometer-thick specimens of incommensurate barium sodium niobate obtained by Xiao-qing e-italict-italic a-italicl-italic. exhibit textures with lines of disclinations ending in vertices of Friedel index m-italic = +1. These are similar to those observed in nematic-liquid-crystal films with continuously degenerate boundary conditions. The nature of the vertices at which these lines meet permits us to examine the physical and topological basis for the equivalence of the two systems. A four-state clock model, in two dimensions, is shown to predict the observed structure.
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545
- OSTI Identifier:
- 5660128
- Resource Type:
- Journal Article
- Journal Name:
- Phys. Rev. B: Condens. Matter; (United States)
- Additional Journal Information:
- Journal Volume: 34:3
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; FERROELECTRIC MATERIALS; TEXTURE; TRANSMISSION ELECTRON MICROSCOPY; LIQUID CRYSTALS; DOMAIN STRUCTURE; NIOBATES; EXPERIMENTAL DATA; FILMS; HAMILTONIANS; TOPOLOGY; CRYSTALS; DATA; ELECTRON MICROSCOPY; FLUIDS; INFORMATION; LIQUIDS; MATHEMATICAL OPERATORS; MATHEMATICS; MICROSCOPY; NIOBIUM COMPOUNDS; NUMERICAL DATA; OXYGEN COMPOUNDS; QUANTUM OPERATORS; REFRACTORY METAL COMPOUNDS; TRANSITION ELEMENT COMPOUNDS; 360603* - Materials- Properties
Citation Formats
Srolovitz, D J, and Scott, J F. Clock-model description of incommensurate ferroelectric films and of nematic-liquid-crystal films. United States: N. p., 1986.
Web. doi:10.1103/PhysRevB.34.1815.
Srolovitz, D J, & Scott, J F. Clock-model description of incommensurate ferroelectric films and of nematic-liquid-crystal films. United States. https://doi.org/10.1103/PhysRevB.34.1815
Srolovitz, D J, and Scott, J F. 1986.
"Clock-model description of incommensurate ferroelectric films and of nematic-liquid-crystal films". United States. https://doi.org/10.1103/PhysRevB.34.1815.
@article{osti_5660128,
title = {Clock-model description of incommensurate ferroelectric films and of nematic-liquid-crystal films},
author = {Srolovitz, D J and Scott, J F},
abstractNote = {The transmission electron micrographs of submicrometer-thick specimens of incommensurate barium sodium niobate obtained by Xiao-qing e-italict-italic a-italicl-italic. exhibit textures with lines of disclinations ending in vertices of Friedel index m-italic = +1. These are similar to those observed in nematic-liquid-crystal films with continuously degenerate boundary conditions. The nature of the vertices at which these lines meet permits us to examine the physical and topological basis for the equivalence of the two systems. A four-state clock model, in two dimensions, is shown to predict the observed structure.},
doi = {10.1103/PhysRevB.34.1815},
url = {https://www.osti.gov/biblio/5660128},
journal = {Phys. Rev. B: Condens. Matter; (United States)},
number = ,
volume = 34:3,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 1986},
month = {Fri Aug 01 00:00:00 EDT 1986}
}
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