“…Several studies show this model to be a good approximation to calculate the interaction force between the probe and nanoparticles due to the single domain state of the superparamagnetic nanoparticles . Angeloni et al stated the dipole‐dipole model to be a good approximation in case of absence of electro static interaction . Thus the phase shift due to the acting force gradient on the tip can be calculated with Equation as follows: where Q is the quality factor of the tip and can be measured during the tip calibration, k is the spring constant of the tip, μ 0 is the vacuum permeability, d is the diameter of the nanoparticle, m p is the magnetic moment of the nanoparticle (Figure S1, Supporting Information), m tip is the magnetic moment of the tip, z is the lift height, and s is the additional distance and is calculated with Equation as follows: where r tip.mag is the magnetic dipole radius of the tip …”