| 276 |
|
arbitrary shape was introduce by Stone\cite{Stone1978} and adopted |
| 277 |
|
by other researchers in liquid crystal studies\cite{Berardi2000}. |
| 278 |
|
|
| 279 |
< |
\begin{eqnarray} |
| 279 |
> |
\begin{equation} |
| 280 |
|
S_{22}^{220} (r) & = & \frac{1}{{4\sqrt 5 }}\left\langle {\delta (r |
| 281 |
|
- r_{ij} )((\hat x_i \cdot \hat x_j )^2 - (\hat x_i \cdot \hat |
| 282 |
|
y_j )^2 - (\hat y_i \cdot \hat x_j )^2 + (\hat y_i \cdot \hat |
| 283 |
< |
y_j )^2 ) \\ |
| 284 |
< |
& & - 2(\hat x_i \cdot \hat y_j )(\hat y_i \cdot \hat x_j ) - |
| 285 |
< |
2(\hat x_i \cdot \hat x_j )(\hat y_i \cdot \hat y_j ))} |
| 283 |
> |
y_j )^2 ) - 2(\hat x_i \cdot \hat y_j )(\hat y_i \cdot \hat x_j ) |
| 284 |
> |
- 2(\hat x_i \cdot \hat x_j )(\hat y_i \cdot \hat y_j ))} |
| 285 |
|
\right\rangle |
| 286 |
< |
\end{eqnarray} |
| 286 |
> |
\end{equation} |
| 287 |
|
|
| 288 |
|
\begin{equation} |
| 289 |
|
S_{00}^{221} (r) = - \frac{{\sqrt 3 }}{{\sqrt {10} }}\left\langle |
