To prove that a element is diamagnetic or paramagnetic, you can hold it into a inhomogeneous magnetic field and look in wich direction the force acts. (see description here) I am interested in a formula, which describes the force on the matter, similar to this oneone ($F_z = m_z *\frac{\partial B_z(z0)}{\partial z}$). The force should not just depend on $\partial B$ but also on the matter, which is used.
Thanks in advance
EDIT: would the formula look like this? $F = \chi * m * \frac{\partial B_z(z0)}{\partial z} \text{ where } \chi \text{ is the magnetic susceptibility.}$ I would need this formula for a simulation of a spheric. So I would just assume that the spheric is just a point (not in terms of the mass, but in terms of the force acting on it and in terms of the magnetic field), so I can ignore the geometry. Do I need any other factors or constants?