The ${ }^{13} \mathrm{C}-\mathrm{NMR}$ spectrum of octalene $(\mathbf{1 3}-\mathbf{A}, \mathbf{1 3}-\mathbf{B}$, or $\mathbf{1 3 - C})$ is temperature dependent. At $-150^{\circ} \mathrm{C}$, there are signals for 14 different carbons. At $-100^{\circ} \mathrm{C}$, these collapse to seven different signals. Above $80^{\circ} \mathrm{C}$, all but one of the remaining signals become broad. Although not attained experimentally, because of decomposition, it would be expected that only four different signals would be obtained at still higher temperature. (1) Show that these data rule out structures 13-A and 13-B for the room temperature structure of octalene, and favor structure 13-C.
(2) What is the nature of the dynamic process that converts the 14-line spectrum to a 7-line spectrum? (3) What would be the nature of the process that converts the 7 -line spectrum to a 4 -line spectrum?