Diffusion and Transport Coefficients in Synthetic Opals

Details Diffusion and Transport Coefficients in Synthetic Opals Diffusion and Transport Coefficients in Synthetic Opals

1999-10-22

arxiv.org/abs/cond-mat/9910344v1

Physics

Condensed Matter

Materials Science

Submitted to PRB

Scientific paper

10.1103/PhysRevB.62.2780

Opals are structures composed of the closed packing of spheres in the size range of nano-to-micro meter. They are sintered to create small necks at the points of contact. We have solved the diffusion problem in such structures. The relation between the diffusion coefficient and the termal and electrical conductivity makes possible to estimate the transport coefficients of opal structures. We estimate this changes as function of the neck size and the mean-free path of the carriers. The theory presented is also applicable to the diffusion problem in other periodic structures.

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