Numerical solutions, ferromagnetic

In order to make some numerical estimates, Berman et al. considered an array of paramagnetic moments in a non-magnetic host material, with the impurity atoms separated by a = 50 A, arranged at a distance d = 100 A beneath the surface of the material. This is also the distance from the cantilever tip, which possesses a ferromagnetic particle with radius /f = 50 A. In these conditions, the normal component of the magnetic field acting on the electronic moment is Bj = 5.4 x 10 T, which corresponds to an electronic resonance shift of 1.5 GHz, approximately (see Problems with solutions). Under resonance condition, the force on the cantilever, estimated as 10 N, produces a vibration with amplitude of approximately 1.2 A, much above the estimate of 0.3 A due to the thermal noise, at a temperature of 1 K. 

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