The particle on a ring can be used as a model for the motion of electrons around the [18]-annulene ring. See a 2-D representation of the [18]-annulene molecule below; the dashed line around the periphery of the molecule indicates the electron path. H H H H H H H H H H H H H We may treat the structure as a circular ring radius 840 pm, with 18 ele trons in 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 can be used as a model for the motion of electrons around the [18]-annulene ring. See a 2-D representation of the [18]-annulene molecule below; the dashed line around the periphery of the molecule indicates the electron path. H H H H H H H H H H H H H We may treat the structure as a circular ring radius 840 pm, with 18 ele trons in 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.
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![The particle on a ring can be used as a model for the motion of electrons around the [18]-annulene ring.
See a 2-D representation of the [18]-annulene molecule below; the dashed line around the periphery of the
molecule indicates the electron path.
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
We may treat the structure as a circular ring of radius 840 pm, with 18 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4b2eb66-6876-46cd-8986-470643caa28d%2F50af9b35-dcef-46fa-af4a-1cb8eb182d65%2F6v7c8qph_processed.png&w=3840&q=75)
Transcribed Image Text:The particle on a ring can be used as a model for the motion of electrons around the [18]-annulene ring.
See a 2-D representation of the [18]-annulene molecule below; the dashed line around the periphery of the
molecule indicates the electron path.
H
H
H
H
H
H
H
H
H
H
H
H
H
H
H
We may treat the structure as a circular ring of radius 840 pm, with 18 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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