Alignment method for the accurate and precise quantification of tip-surface forces

We introduce a procedure to determine accurate and precise force-distance curves in dynamic force measurements utilizing a sharp tip. While single force curves are prone to systematic, often unnoticed errors, we present their self-consistent retrieval by an alignment procedure using repetitive measurements with the force probe oscillating at varied amplitude. By processing model data, we show that the procedure provides the valid force curve, the actual oscillation amplitude, and fully compensates thermal drift. The benefit of the method is demonstrated by application to experimental data.