The apparent barrier height phi(ap), that is, the rate of change of th
e logarithm of the conductance with tip-sample separation in a scannin
g tunneling microscope (STM), has been measured for Ni, Pt, and Au sin
gle crystal surfaces. The results show that phi(ap) is constant until
point contact is reached rather than decreasing at small tunneling gap
distances, as previously reported. The findings for phi(ap) can be ac
counted for theoretically by including the relaxations of the tip-surf
ace junction in an STM due to the strong adhesive forces at close prox
imity. These relaxation effects are shown also to be generally relevan
t under imaging conditions at metal surfaces.