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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![When B-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
ÇH3
ÇH3
`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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4b2eb66-6876-46cd-8986-470643caa28d%2Fe9052022-e98f-4257-9c0e-9ca8c7641e2f%2F71vqf6q_processed.png&w=3840&q=75)
Transcribed Image Text:When B-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
ÇH3
ÇH3
`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.
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