Electrons in conduction band of metal is delocalized.
(1) How much is it delocalized? Will it be delocalized to the whole metal sample, or will it's wave function only cover a few/a dozen atoms nearby?
(2) Will extra (net negative charge on the metal sample) electrons be delocalized too? If so, then this seems to be a contradiction with the fact that the net charge will be on the surface of the metal. If not, considering there is no difference between every conducting electrons in the metal, then how can some of them be not delocalized and others delocalized?