“…In the limit kT»hv, the RMS time displacement fluctuation of a surface area on a solid, isotropic, half-space is approximately (2) where fj.f is bandwidth, k is Boltzmann's constant, T is temperature in Kelvin, f is the frequency of the vibration and Z is the complex mechanical impedance defined as Z=F/v, (3) where F is the applied force and v is the resultant surface velocity. Using Eq.…”