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 450.00 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 and the box is the conjugated pi-bond network. Using 450.00 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?

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter12: Atoms And Molecules

Section: Chapter Questions

Problem 12.57E: What is the bond order for the lowest excited state of H2+ ? From this single result, propose a...

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