Singular electrostatic energy of nanoparticle clusters

Details Singular electrostatic energy of nanoparticle clusters Singular electrostatic energy of nanoparticle clusters

2010-10-21

arxiv.org/abs/1010.4488v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, 3 figures. Submitted to Phys Rev B

Scientific paper

The binding of clusters of metal nanoparticles is partly electrostatic. We address difficulties in calculating the electrostatic energy when high charging energies limit the total charge to a single quantum, entailing unequal potentials on the particles. We show that the energy at small separation $h$ has a strong logarithmic dependence on $h$. We give a general law for the strength of this logarithmic correction in terms of a) the energy at contact ignoring the charge quantization effects and b) an adjacency matrix specifying which spheres of the cluster are in contact and which is charged. We verify the theory by comparing the predicted energies for a tetrahedral cluster with an explicit numerical calculation.

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