The particle on a ring is a useful model for the motion of electrons around the coronene ring. See a 2-D representation of the coronene molecule below; the dashed line around the periphery of the molecule indicates the electron path. We may treat the structure as a circular ring of radius 420 pm, with 14 electrons in the conjugated system moving along the perimeter of the ring. Assuming that, in the ground state of the molecule, each state is occupied by two electrons, (a) calculate the energy and angular momentum of an electron in the highest occupied level, and (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

The particle on a ring is a useful model for the motion of electrons around the coronene ring. See a 2-D representation of the coronene molecule below; the dashed line around the periphery of the molecule indicates the electron path. We may treat the structure as a circular ring of radius 420 pm, with 14 electrons in the conjugated system moving along the perimeter of the ring. Assuming that, in the ground state of the molecule, each state is occupied by two electrons, (a) calculate the energy and angular momentum of an electron in the highest occupied level, and (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...

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