Aksoy, M. D.Atalar, Abdullah2016-02-082016-02-082011-02-151098-0121http://hdl.handle.net/11693/22023We propose a force-spectroscopy technique where a higher order mode of a cantilever is excited simultaneously with the first. Resonance tracking of both vibration modes through a frequency modulation scheme provides a way to extract topographical information and the gradient of the tip-sample interaction within a single surface scan. We provide an analytic treatment of the scheme, derive expressions relating frequency shifts of the higher mode and the tip-sample forces, and offer two methods of improving the accuracy of reconstruction of the force gradient. Finally, we confirm our predictions by numerical simulations.EnglishArticle10.1103/PhysRevB.83.075416