--- trunk/tengDissertation/LiquidCrystal.tex	2006/06/22 22:19:02	2880
+++ trunk/tengDissertation/LiquidCrystal.tex	2006/06/23 21:33:52	2882
@@ -277,14 +277,12 @@ S_{22}^{220} (r) & = & \frac{1}{{4\sqrt 5 }}\left\lang
 by other researchers in liquid crystal studies\cite{Berardi2000}.
 
 \begin{eqnarray}
-S_{22}^{220} (r) & = & \frac{1}{{4\sqrt 5 }}\left\langle {\delta (r
-- r_{ij} )((\hat x_i  \cdot \hat x_j )^2  - (\hat x_i  \cdot \hat
-y_j )^2  - (\hat y_i  \cdot \hat x_j )^2  + (\hat y_i  \cdot \hat
-y_j
-)^2 ) \right.\\
-& & \left.- 2(\hat x_i  \cdot \hat y_j )(\hat y_i \cdot \hat x_j ) -
-2(\hat x_i  \cdot \hat x_j )(\hat y_i  \cdot \hat y_j ))}
-\right\rangle
+S_{22}^{220} (r) & = & \frac{1}{{4\sqrt 5 }} \left< \delta (r -
+r_{ij} )((\hat x_i  \cdot \hat x_j )^2  - (\hat x_i  \cdot \hat y_j
+)^2  - (\hat y_i  \cdot \hat x_j )^2  + (\hat y_i  \cdot \hat y_j
+)^2 ) \right. \\
+ & & \left. - 2(\hat x_i  \cdot \hat y_j )(\hat y_i \cdot \hat x_j ) -
+2(\hat x_i  \cdot \hat x_j )(\hat y_i  \cdot \hat y_j )) \right>
 \end{eqnarray}
 
 \begin{equation}