We have fabricated Si dots and wires with widths as small as 2 nm by t
hermally oxidizing an etched mesa in a controlled manner. Electrical c
ontacts are deposited on the Si nanostructures so that their current-v
oltage characteristics may be measured. For dots fabricated from wafer
s with a n-i-n doping profile we observe a linear dependence of the ro
om temperature conductance on the device diameter, which we explain in
terms of the profile of the Si/SiO2 interface. We are able to extract
the width of the unoxidized Si from this dependence and find that the
I(V) of devices with active widths less than 10 nm measured at 77 K i
s non-linear. I(V) measurements are also presented for bar shaped devi
ces fabricated from pn material which clearly show that rectification
occurs, even for active widths less than 10 nm.