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diff --git a/solid_state_physics/tutorial/2_04s.tex b/solid_state_physics/tutorial/2_04s.tex
index bb9024c..11e16f1 100644 (file)
--- a/solid_state_physics/tutorial/2_04s.tex
+++ b/solid_state_physics/tutorial/2_04s.tex
@@ -151,7 +151,12 @@
           \frac{1}{L_2}\frac{\partial L_2}{\partial T}+
           \frac{1}{L_3}\frac{\partial L_3}{\partial T}=3\alpha_L\nonumber
        \end{eqnarray}
- \item 
+ \item \[
+       dF=-pdV-SdT \Rightarrow p=-\left.\frac{\partial}{\partial V}\right|T
+       \]
+       \[
+       dE=TdS-pdV \Rightarrow 
+       \]
        Find an expression for the pressure as a function of the free energy
        $F=E-TS$.
        Rewrite this equation to express the pressure entirely in terms of