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Torque magnetometry is a convenient technique to measure the magnetic properties of anisotropic materials. Advances in micromachining and the availability of robust materials with which such magnetometers can be fabricated has made them reliable even in adverse conditions such as very high magnetic fields and both high and very low temperatures. In most applications with such magnetometers the measured torque signals are used to arrive at the linear magnetic susceptibilities only. In this short note we extend torque magnetometry to measure nonlinear susceptibilities and illustrate our methods with representative data on the heavy fermion compound UPt3

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