The influence of the shape and electronic structure of the tip in scan
ning tunneling spectroscopy is studied by a combined theoretical and e
xperimental approach. Tunneling conductance spectra of a Cu(111) surfa
ce are used to detect and characterize the electronic states of W tips
. The characteristic tunneling conductance of the Cu(111) surface stat
e is the only feature present in spectra recorded with a blunt tip, wh
ile spectra obtained with sharp tips display also tip resonances; By m
eans of a self-consistent tight-binding model of realistic tip structu
res we show that a sharp W tip exhibits, in contrast with blunt tips,
narrow resonant states around the Fermi level.