Theoretical studies of the electrochromic response of carotenoids in photosynthetic membranes

Molecular orbital calculations are carried out on a number of carotenoids in the presence of an external charge and a constant electric field. The external charge is used to represent the strong permanent field that is believed to polarize carotenoids in photosynthetic membranes and thus to account for their linear response to the transmembrane potential. Our calculations show that the in vitro leads to in vivo spectral shifts of carotenoids (approximately 25 nm) can be produced by a charge in close proximity to the molecule. The interaction of the induced dipole moment with a constant field accounts for the observed magnitude of the electrochromic response in photosynthetic bacteria. The existence of a second pool of carotenoids that shows a significant (approximately 20 nm) wavelength shift but no electrochromic response can be explained by an external charge positioned near the center of the molecule that affects its absorption maximum while inducing essentially no dipole moment. The spectral shift for this pool is due to the induction of higher multipoles. These also account for discrepancies that arise when one attempts to account quantitatively for available experimental results on carotenoid band shifts in terms of classical electrochromic theory.