#7824. Approaches to modelling the shape of nanocrystals

October 2026publication date
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Journal’s subject area:
Engineering (all);
Materials Science (all);
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Abstract:
Unlike in the bulk, at the nanoscale shape dictates properties. The imperative to understand and predict nanocrystal shape led to the development, over several decades, of a large number of mathematical models and, later, their software implementations. In this review, the various mathematical approaches used to model crystal shapes are first overviewed, from the century-old Wulff construction to the year-old (20XX) approach to describe supported twinned nanocrystals, together with a discussion and disambiguation of the terminology.
Keywords:
Nanoparticle shape; Shape modelling; Shape modelling tools; Winterbottom construction; Wulff construction

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