When ß-carotene is oxidised in vivo, it breaks in half and forms two molecules of retinal (vitamin A), which is a precursor to the pigment in the retina responsible for vision. The conjugated system of retinal consists of eleven C atoms and one O atom; see the structure of the molecule here: H3C CH3 CH3 CH3 `H CH3 In the ground state of retinal, each level up to n = 6 is occupied by two electrons. Assuming an average inter-nuclear distance of 140 pm, use the particle-in-a-box model to calculate: a. the separation in energy between the ground state and first excited state in which one electron occupies the state with n = 7, and b. the frequency of the radiation required to produce a transition between these two states.

When ß-carotene is oxidised in vivo, it breaks in half and forms two molecules of retinal (vitamin A), which is a precursor to the pigment in the retina responsible for vision. The conjugated system of retinal consists of eleven C atoms and one O atom; see the structure of the molecule here: H3C CH3 CH3 CH3 `H CH3 In the ground state of retinal, each level up to n = 6 is occupied by two electrons. Assuming an average inter-nuclear distance of 140 pm, use the particle-in-a-box model to calculate: a. the separation in energy between the ground state and first excited state in which one electron occupies the state with n = 7, and b. the frequency of the radiation required to produce a transition between these two states.

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter7: Molecular Structures

Section: Chapter Questions

Problem 66QRT

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