Calculation of Projected Bond-Orientational Order Parameters to Quantify Local Symmetries from Transmission Diffraction Data.
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.
Monash Centre for Electron Microscopy, Monash University, Clayton, 3800 Victoria, Australia.|School of Physics and Astronomy, Monash University, Clayton, 3800 Victoria, Australia.
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Liu
School of Chemistry, Monash University, Clayton, 3800 Victoria, Australia.
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Tabor
Monash Centre for Electron Microscopy, Monash University, Clayton, 3800 Victoria, Australia.|Department of Materials Science and Engineering, Monash University, Clayton, 3800 Victoria, Australia.
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Bourgeois
Australian Synchrotron, Clayton, 3168 Victoria, Australia.
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de Jonge
Australian Synchrotron, Clayton, 3168 Victoria, Australia.
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Mudie
School of Physics and Astronomy, Monash University, Clayton, 3800 Victoria, Australia.
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Petersen