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**Figure 6:** Rotations about the terminal carbon atoms mix p_y and p_z orbitals
$\begin{figure}\fbox{ \epsfig{width=5in,file=fig6a.ps} }\end{figure}$

**Figure:** Conrotatory ring closure leads to antibonding $\sigma$ orbital
$\begin{figure}\fbox{ \epsfig{width=5in,file=fig6b.ps} } \end{figure}$

Conrotatory Hamiltonian

For conrotatory motions, defining the twist angle $\theta_{1-2}=\theta_{3-4} \equiv \omega$ , we have (using Equation 10)

$\begin{displaymath}\left ( \begin{array}{cccc} \alpha&\beta cos \omega & 0 & \be... ...n^2 \omega & 0 & \beta cos \omega & \alpha \end{array}\right ) \end{displaymath}$

Carl David
1999-06-16