The particle on a ring is a useful model for the motion of electrons around the porphine ring, the conjugated macrocycle that forms the structural basis of the haem group and the chlorophylls; see the structure of the porphine molecule below. -NH N: HN- We may treat the structure as a circular ring of radius 440 pm, with 22 electrons in the conjugated system moving along the perimeter of the ring. Assuming that, in the ground electronic configuration of the molecule, each state is occupied by two electrons, calculate: a. the angular momentum and energy of an electron in the highest occupied level, and b. 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 porphine ring, the conjugated macrocycle that forms the structural basis of the haem group and the chlorophylls; see the structure of the porphine molecule below. -NH N: HN- We may treat the structure as a circular ring of radius 440 pm, with 22 electrons in the conjugated system moving along the perimeter of the ring. Assuming that, in the ground electronic configuration of the molecule, each state is occupied by two electrons, calculate: a. the angular momentum and energy of an electron in the highest occupied level, and b. 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
Chapter5: Quantum Mechanics And Atomic Structure
Section: Chapter Questions
Problem 48AP: The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is (r)=(...
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Transcribed Image Text:The particle on a ring is a useful model for the motion of electrons around the porphine ring, the
conjugated macrocycle that forms the structural basis of the haem group and the chlorophylls;
see the structure of the porphine molecule below.
-NH
N:
HN-
We may treat the structure as a circular ring of radius 440 pm, with 22 electrons in the
conjugated system moving along the perimeter of the ring. Assuming that, in the ground
electronic configuration of the molecule, each state is occupied by two electrons, calculate:
a. the angular momentum and energy of an electron in the highest occupied level, and
b. the frequency of radiation that can induce a transition between the highest occupied and
lowest unoccupied levels.
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