Nanoparticle shapes by using Wulff constructions and first-principles calculations

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Nanoparticle shapes by using Wulff constructions and first-principles calculations

BACKGROUND The majority of complex and advanced materials contain nanoparticles. The properties of these materials depend crucially on the size and shape of these nanoparticles. Wulff construction offers a simple method of predicting the equilibrium shape of nanoparticles given the surface energies of the material. RESULTS We review the mathematical formulation and the main applications of Wu...

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The equilibrium structure of small particles is analysed by minimising the total surface energy of atomistic clusters. Large deviations from the bulk Wulff construction are identified for fairly large ( 10 nm) particles due to sphere packing corrections. These act as additional edge terms which can be si~i~cantly larger than the true edge terms. For a simplifi~ fee model, it is shown that the f...

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ژورنال

عنوان ژورنال: Beilstein Journal of Nanotechnology

سال: 2015

ISSN: 2190-4286

DOI: 10.3762/bjnano.6.35