Elasticity of nanometer-sized objects

Details Elasticity of nanometer-sized objects Elasticity of nanometer-sized objects

2000-04-10

arxiv.org/abs/cond-mat/0004154v6

Phys. Rev. B 65 (2002) 214109

Physics

Condensed Matter

Materials Science

11 pages, 5 figures

Scientific paper

10.1103/PhysRevB.65.214109

We initiate the development of a theory of the elasticity of nanoscale objects based upon new physical concepts which remain properly defined on the nanoscale. This theory provides a powerful way of understanding nanoscale elasticity in terms of local group contributions and gives insight into the breakdown of standard continuum relations. We also give two applications. In the first, we show how to use the theory to derive a new relation between the bending and stretching properties of nanomechanical resonators and to prove that it is much more accurate than the continuum-based relations currently employed in present experimental analyses. In the second, we use the new approach to link features of the underlining electronic structure to the elastic response of a silicon nanoresonator.

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