The n-π* transitions (absorption, circular dichroism, luminescence, linear and circular polarization of luminescence) of trans-β-hydrindanone (I) and trans-β-thiohydrindanone (II) are discussed. The C2 symmetry of I and II is taken into account with the aid of expressions that are derived for nonrigid molecules having a twofold axis of symmetry. This allows the absorption of I to be split into a part due to transitions polarized along the twofold axis (z axis) and a part due to x, y-polarized vibration-induced transitions. Accurate values for the electric and magnetic transition moments then are obtained. The vibrational structure of absorption and fluorescence and the latter's low degree of circular polarization are related to nonplanarity of the carbonyl group in the (n → π*)1 state. A larger nonplanarity probably is present in the triplet state of I. Circular polarization in the fluorescence was also observed when racemic I was excited with circularly polarized light. For the absorption of II, an upper limit is found for the electric transition moment and a lower limit for the magnetic moment. These give no indication that 3d orbits play an important part in the optical activity of thioketones. The luminescence at − 196°C and the longest wavelength part of the visible absorption band do not show circular polarization. They probably are singlet–triplet transitions. There is some evidence that the thiocarbonyl group is planar in the triplet and in the excited singlet state.
A general theory of natural optical rotatory power is given, applicable to dense media. The statistical mechanical treatment includes the effect of correlations between molecules. The molecules are characterized by classically defined polarizability tensors which are explained quantum mechanically. A generalized wave equation is derived which holds for a medium which may be anisotropic as well as optically active. A new demonstration of the extinction theorem is given. The theory is applied to isotropic media. NOTATION AND SYMBOLS.
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