Conjugated pi-bonds can be modeled as a particle-in-the-box. In this case, the particle is an electron and the box is the conjugated pi-bond network. Using 440.0 nm as λmax for beta-carotene as the HOMO-LUMO gap, calculate the length of the conjugated pi-bond network in beta-carotene. Note that you will need to look at the carbon number and hybridization type to determine what initial and final n values to use. Compare this to the actual value of L=2.6 x 10-9 m. How many sp2-hybridized carbons are there in beta-carotene?
Conjugated pi-bonds can be modeled as a particle-in-the-box. In this case, the particle is an electron...
7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, or in a conjugated p orbital. The 1,3,5-hexatriene molecule is a conjugated molecule with 6 t electrons. Consider the Tt electrons free to move back and forth along the molecule through the delocalized pi system. Using the particle in a box approximation, treat the carbon chain as a linear one-dimensional "box". Allow each energy level in the box to hold...