This atomic force microscope comprises a pointed tip (1) mounted on top of an oscillating crystal (2) which is translatable in xyz-directions by a conventional xyz-drive (4). A potential applied to a pair of electrodes (5, 6) coated on opposite faces of said crystal (2) causes the latter to oscillate with its resonance frequency. As the tip (1) is approached to a surface to be investigated, the frequency of oscillation of the crystal deviates from its original frequency. This deviation can be used in a feedback loop to control the distance in z-direction of the tip (1) from the surface being investigated and to plot an image of the contour of each scan performed by the tip (1) across the surface.