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.

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter9: Pre-quantum Mechanics

Section: Chapter Questions

Problem 9.43E

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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.