| 271 |
|
As a useful set of correlation functions to describe |
| 272 |
|
position-orientation correlation, rotation invariants were first |
| 273 |
|
applied in a spherical symmetric system to study x-ray and light |
| 274 |
< |
scatting\cite{Blum1971}. Latterly, expansion of the orientation pair |
| 274 |
> |
scatting\cite{Blum1972}. Latterly, expansion of the orientation pair |
| 275 |
|
correlation in terms of rotation invariant for molecules of |
| 276 |
|
arbitrary shape was introduce by Stone\cite{Stone1978} and adopted |
| 277 |
< |
by other researchers in liquid crystal studies\cite{Berardi2000}. |
| 277 |
> |
by other researchers in liquid crystal studies\cite{Berardi2003}. |
| 278 |
|
|
| 279 |
|
\begin{eqnarray} |
| 280 |
|
S_{22}^{220} (r) & = & \frac{1}{{4\sqrt 5 }} \left< \delta (r - |
