Atropine, $\mathrm{C}_{17} \mathrm{H}_{23} \mathrm{NO}_{3}$, is a poisonous alkaloid isolated from the leaves and roots of Atropa belladonna, the deadly nightshade. In small doses, atropine acts as a muscle relaxant; 0.5 ng (nanogram, $10^{-9} \mathrm{~g}$ ) is sufficient to cause pupil dilation. On basic hydrolysis, atropine yields tropic acid, $\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CH}\left(\mathrm{CH}_{2} \mathrm{OH}\right) \mathrm{CO}_{2} \mathrm{H},$ and tropine, $\mathrm{C}_{8} \mathrm{H}_{15} \mathrm{NO} .$ Tropine is an optically inactive alcohol that yields tropidene on dehydration with $\mathrm{H}_{2} \mathrm{SO}_{4} .$ Propose a structure for atropine.