We describe a method for measuring forces in the atomic force microscope (A
FM), in which a small amplitude oscillation(similar to 1 Angstrom(p-p)) is
applied to a stiff(similar to 40 N/m) cantilever below its first resonant f
requency, and the force gradient is measured directly as a function of sepa
ration. We have used this instrument to measure electrostatic forces by app
lying an ac voltage between the tip and the sample, and observed a variatio
n in contact potential difference with separation. We also show how the ben
efits of this instrument may be exploited to make meaningful capacitance me
asurements, especially at small tip-surface separations, and demonstrate th
e potential of this technique for quantitative dopant profiling in semicond
uctors. (C) 2000 Elsevier Science B.V. All rights reserved.