Ferro and Ferri magnetism On which factors do the  magnetic susceptibility of these type of materials depend? Id assume ferromagnets in general have higher susceptibility than ferrimagnets but is this true in all cases? 
For those who are interested:
Ferromagnetism
The magnetic moments in a ferromagnet have the tendency to become aligned parallel to each other under the influence of a magnetic field. However, unlike the moments in a paramagnet, these moments will then remain parallel when a magnetic field is not applied 
Antiferromagnetism
Adjacent magnetic moments from the magnetic ions tend to align anti-parallel to each other without an applied field. In the simplest case, adjacent magnetic moments are equal in magnitude and opposite therefore there is no overall magnetisation.
Ferrimagnetism
similar to antiferromagnetism but the aligned magnetic moments (always anti-parallel as far as i'm aware) are not of the same size; that is to say there is more than one type of magnetic ion in two or more different sublattices. An overall magnetisation is produced but not all the magnetic moments may give a positive contribution to the overall magnetisation.
descriptions taken from http://www.doitpoms.ac.uk/tlplib/ferromagnetic/printall.php then editted slightly for clarifaction of ferrimagnetism
 A: From the comments below the original question, I'll give a try to answer the question "Is there a way to distinguish between ferromagnetic and ferrimagnetic materials based on their magnetic susceptibility?"
At page 194 of Cullity & Graham's book "Introduction to magnetic materials", one can see a plot of $1/\chi(T)$ for ferri and ferro magnetic materials. It turns out that above the Curie point, $1/\chi(T)$ of ferromagnetic materials is as a straight line (which can be understood thanks to the Curie-Weiss law). However, it is not quite the same case for ferrimagnetic materials. Instead, $1/\chi(T)$ is curved right above $T_C$ and then becomes as a straight line for higher temperatures (it's in fact a hyperbola, which is different from the straight line of ferromagnets).
There's also a difference in $1/\chi(T)$ below $T_C$, the curvature is greater for ferromagnetic materials than it is for ferrimagnetic materials.
Thus, with a careful examination of $1/\chi(T)$, one should, in principle, be able to determine whether the material is ferromagnetic or ferrimagnetic.
Now onto your question about the parameters on which $\chi$ depends. For ferrimagnetic materials, $\chi$ depends on many parameters, some of them aren't found in the expression for $\chi$ of ferromagnetic materials. Examples are $\gamma_{aa}$, $\gamma_{bb}$ and $\gamma_{ab}$ which are molecular field coefficients. The details can be found in the above book and other sources like "The Néel Theory of Ferrimagnetism" by J. Samuel Smart.
