Calibration of the oscillation amplitude of quartz tuning fork-based force sensors with astigmatic displacement microscopy.

Quartz tuning forks and qPlus-based force sensors offer an alternative approach to silicon cantilevers for investigating tip–sample interactions in scanning probe microscopy. The high-quality factor (Q) and stiffness of these sensors prevent the tip from jumping to the contact, even at sub-nanometer amplitude. The qPlus configuration enables simultaneous scanning tunneling microscopy and atomic force microscopy, achieving spatial resolution and spectroscopy at the subatomic level. However, to enable precise measurement of tip–sample interaction forces, confidence in these measurements is contingent upon the accurate calibration of the spring constant and oscillation amplitude of the sensor. Here, we have developed a method called astigmatic displacement microscopy with picometer sensitivity. [ABSTRACT FROM AUTHOR]