4.0 Article

Finite-Size Effects of Casimir-van der Waals Forces in the Self-Assembly of Nanoparticles

Journal

PHYSICS
Volume 5, Issue 1, Pages 322-330

Publisher

MDPI
DOI: 10.3390/physics5010024

Keywords

self-assembly; Casimir force; van der Waals force; Hamaker constant; nanoparticles

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In this paper, a hybrid approach based on Lifshitz theory and corrections due to the shape of nanoparticles is used to study the Casimir-van der Waals forces in self-assembly processes. The study shows that the usual Hamaker approach overestimates the interaction magnitude for non-spherical nanoparticles. Specifically, the interaction between nanocubes with parallel faces and tilted nanocubes, where the main interaction is between edges, is considered.
Casimir-van der Waals forces are important in the self-assembly processes of nanoparticles. In this paper, using a hybrid approach based on Lifshitz theory of Casimir-van der Waals interactions and corrections due to the shape of the nanoparticles, it is shown that for non-spherical nanoparticles, the usual Hamaker approach overestimates the magnitude of the interaction. In particular, the study considers nanoplates of different thicknesses, nanocubes assembled with their faces parallel to each other, and tilted nanocubes, where the main interaction is between edges.

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