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.

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6. 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.
Transcribed Image Text:6. 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.
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