We present an experimental investigation of lossy and reactive shear forces
at the nanometer scale using quartz-crystal tuning-fork shear-force micros
copy. We show that this technique allows us not only to quantitatively meas
ure viscous friction and elastic shear stress with a combination of high sp
atial and force resolution (better than 10 nm, and less than 1 pN, respecti
vely), but also to obtain such quantities with the tip positioned at any ar
bitrary distance away from direct electrical tunnel contact with the sample
surface. We are proposing that, even under vacuum conditions, the measured
viscous and elastic shear stress (i.e., velocity dependent) are directly a
ttributable to a third body filling the tip-sample gap A simple model is gi
ven that allows us to obtain its local viscosity and shear modulus as a fun
ction of the tip-sample distance, showing that tuning-fork shear-force micr
oscopy can be applied to quantitative analysis in nanotribology.