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Topological Cluster Classification

The topological cluster classification (TCC) identifies a zoo of 33 clusters in condensed matter. These are the minimum energy clusters of for classical atoms interacting via a range model potentials, for example Lennard-Jones and Morse. These include cases where the interaction range is much shorter than the molecular size (appropriate to colloids). The TCC is a powerful tool for identification and understanding of amorphous structure in a range of simple materials.

If you would like to use the TCC, the files may be downloaded here, and a how to page is available here. Please note that the TCC code is totally unsupported. If you publish with the TCC you must cite Malins A, Williams SR, Eggers J & Royall CP "Identification of Structure in Condensed Matter with the Topological Cluster Classification", J. Chem. Phys. (2013). 139 234506 PDF download.

If you would like to download and run the TCC, please see the how to page.

TCC pic : Clusters identified by the TCC. Number is the number of particles in the cluster, letters refer to different models. Further details are available in Malins A, Williams SR, Eggers J & Royall CP "Identification of Structure in Condensed Matter with the Topological Cluster Classification", J. Chem. Phys. (2013). 139 234506 PDF download.

Example of the TCC. Colloidal hard spheres form "10B" clusters (green) and these compete with, and act to suppress crystal nucleation (crystals are shown in cyan). For example see Taffs J, Williams SW, Tanaka H and Royall CP, "Structure and kinetics in the freezing of nearly hard spheres", Soft Matter, 9, 297 - 305 (2013). PDF download.