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Calculation of Projected Bond-Orientational Order Parameters to Quantify Local Symmetries from Transmission Diffraction Data

A. C. Y. Liu, R. F. Tabor, L. Bourgeois, M. D. de Jonge, S. T. Mudie, and T. C. Petersen
Phys. Rev. Lett. 116, 205501 – Published 18 May 2016; Erratum Phys. Rev. Lett. 116, 239902 (2016)
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Abstract

The bond-orientational order parameters introduced by Steinhardt et al. [Phys. Rev. B 28, 784 (1983)] have been an invaluable measurement tool for assessing short-range order in disordered, close-packed assemblies of particles in which the particle positions are known. In many glassy systems the measurement of particle position is not possible or limited (field of view, thickness, resolution) and the bond-orientational order parameters cannot be measured, or adequately sampled. Here we calculate a set of rotationally averaged, projected bond-orientational order parameters that reflect the symmetries of close-packed particle clusters when projected onto a plane. We show by simulation that these parameters are unique fingerprints that can be directly compared to angular correlations in limited-volume, transmission geometry, diffraction patterns from close-packed glassy assemblies.

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  • Received 15 December 2015
  • Corrected 3 June 2016

DOI:https://doi.org/10.1103/PhysRevLett.116.205501

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Condensed Matter, Materials & Applied Physics

Corrections

3 June 2016

Erratum

Publisher’s Note: Calculation of Projected Bond-Orientational Order Parameters to Quantify Local Symmetries from Transmission Diffraction Data [Phys. Rev. Lett. 116, 205501 (2016)]

A. C. Y. Liu, R. F. Tabor, L. Bourgeois, M. D. de Jonge, S. T. Mudie, and T. C. Petersen
Phys. Rev. Lett. 116, 239902 (2016)

Synopsis

Key Image

Glassy Fingerprints

Published 18 May 2016

The local structure of glasses and other disordered materials could be extracted from diffraction patterns, according to a proposal for a new technique.

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Authors & Affiliations

A. C. Y. Liu1,2, R. F. Tabor3, L. Bourgeois1,4, M. D. de Jonge5, S. T. Mudie5, and T. C. Petersen2

  • 1Monash Centre for Electron Microscopy, Monash University, Clayton, 3800 Victoria, Australia
  • 2School of Physics and Astronomy, Monash University, Clayton, 3800 Victoria, Australia
  • 3School of Chemistry, Monash University, Clayton, 3800 Victoria, Australia
  • 4Department of Materials Science and Engineering, Monash University, Clayton, 3800 Victoria, Australia
  • 5Australian Synchrotron, Clayton, 3168 Victoria, Australia

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Issue

Vol. 116, Iss. 20 — 20 May 2016

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