A capacitive transducer a first part containing a first set of capacitor plates and a second part relatively movable in a plane to the first part. The second part contains a second set of capacitor plates. Both sets of capacitor plates are built on a substrate, wherein the capacitor plates form a plurality of capacitors. The second part is relatively movable in all six degrees of freedom. One set of the plurality of capacitors measures displacements in a plane and a second set of the plurality capacitors measures displacements perpendicular to the plane.