Measuring magnetic susceptibilities of nanogram quantities of materials using microcantilevers

We describe a novel technique for measuring magnetic susceptibilities of nanogram quantities of magnetic materials that utilizes the extreme force sensitivity of microcantilevers. The magnetic force acting on samples attached to the free end of a cantilever can be measured as changes in the resonance response of the cantilever. The shift in resonance frequency of the cantilever is proportional to the field gradient, whereas the deflection of a cantilever is proportional to the magnetic force. The magnetic susceptibility measurement is based on comparison of the forces acting on the sample and a reference material in the same magnetic field and field gradient. We have determined the magnetic susceptibilities of nanogram quantities of many paramagnetic materials. The measured magnetic susceptibilities show excellent agreement with values found in the literature.