The resistance of an atomic Na wire between two macroscopic metallic e
lectrodes is found to decrease by a factor of 2 going from the 1- to t
he 2-atom wire, and then to stay roughly the same for the 2-, 3-, and
4-atom wires. The initial decrease in resistance is related to the phe
nomenon of incomplete valence resonances for an atom interacting with
a continuum of states. Such resonances lead to what might be called in
complete conduction channels.