We calculated the conductivities of a thin rectangular wire with specular and diffusive surfaces using the Boltzmann transport equation. We found the conductivity of the wire increased as we increased the aspect ratio (width/thickness) of the wire. For perfectly specular scattering, the conductivity is the same as with the bulk conductivity. Finally, we compared the conductivity of thin wires with thin films and found that the conductivity of thin wires decreased faster than that of the films due to lateral confinement.

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