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, T. C. Petersen

Research output: Contribution to journalArticleResearchpeer-review

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.

Original languageEnglish
Article number205501
Number of pages5
JournalPhysical Review Letters
Volume116
Issue number20
DOIs
Publication statusPublished - 18 May 2016

Cite this

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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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Calculation of projected bond-orientational order parameters to quantify local symmetries from transmission diffraction data. / Liu, A. C. Y.; Tabor, R. F.; Bourgeois, L.; de Jonge, M. D.; Mudie, S. T.; Petersen, T. C.

In: Physical Review Letters, Vol. 116, No. 20, 205501, 18.05.2016.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Liu, A. C. Y.

AU - Tabor, R. F.

AU - Bourgeois, L.

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AU - Mudie, S. T.

AU - Petersen, T. C.

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