Some linear polyenes, of which -carotene is an example, are important biological
Chapter 12, Problem 12.21(choose chapter or problem)
Some linear polyenes, of which -carotene is an example, are important biological co-factors that participate in processes as diverse as the absorption of solar energy in photosynthesis (Impact I23.2) and protection against harmful biological oxidations. Use as a model of -carotene a linear polyene containing 22 conjugated C atoms. (a) To what point group does this model of -carotene belong? (b) Classify the irreducible representations spanned by the carbon 2pz orbitals and find their symmetry-adapted linear combinations. (c) Use your results from part (b) to calculate the Hckel secular determinant. (d) What states of this model of -carotene may be reached by electric dipole transitions from its (totally symmetrical) ground state?
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