Meaning of 'applied field' in Clausius-Mosotti derivation

[Coffee_]

This is the solution to an exercise in Griffiths where one has to derive the Clausius Mosotti relationship:

http://physicspages.com/2012/11/28/relation-between-polarizability-and-susceptibility/

I have one small question about the use of the word ''applied'' at the beginning when defining $\vec{E}$. As $\vec{E}$ is used it seems to me that it is supposed to represent the TOTAL macroscopic field including both the externally applied field and the macroscopic field caused by polarization.

So basically, I'm asking what is meant by applied here because it seems that they mean that $\vec{E}$ is the externally applied field. If this is so their use of that field seems not too correct then.

 

[TSny]

You are right. E should be interpreted as the total macroscopic field, not just the externally applied field.