One-dimensional harmonic oscillator theory was used to model tapping-m
ode atomic force microscope (TMAFM) operation in the near-contact regi
on in the presence of gases and liquids. The force derivative of the t
ip-sample interaction changes the vibration amplitude and frequency at
maximum amplitude of the cantilever. Additionally, the interaction is
hydrodynamically damped by fluid motion around,the tip and between th
e tip and the surface. Good agreement was found between theoretical an
d experimental amplitude as a function of height. For a sample-driven
TMAFM operating in fluids, the cantilever can be very soft (spring con
stant much less than 1 N/m) and operated at frequencies well above the
fundamental. Under these conditions the cantilever and sample appear
to act with a high spring constant, much like that used in a gaseous o
peration. The tip-sample interaction in the fluid is still mediated th
rough the force derivative of the sample. (C) 1995 American Institute
of Physics.