Dynamic nanomechanical analysis of a sample is performed by using a
cantilever probe that interacts with the sample using a force applied
across a wide range of frequencies that includes frequencies greater than
300 Hz. The motion of the cantilever probe is detected in response to the
applied force over the range of frequencies and analyzed over at least a
portion of the wide range of frequencies to determine a mechanical
response of the sample, preferably including quality factor and modulus
of the sample. The analysis of the motion of the cantilever probe is
preferably performed in terms of amplitude, phase, and frequency of both
the probe and the sample and preferably, where the applied force is
analyzed to determine both a real and an imaginary modulus of a
mechanical response of the sample. Preferably, the force is applied so as
to produce a minimum of phase and amplitude response variation in the
absence of the sample. Furthermore the motion of the cantilever can be
flexural or torsional and combinations thereof.