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4. Amphotericin B is a polyene antifungal agent. In the molecule, 6 C-C single bonds and 7 C=C double bonds alternate along a chain of 14 C atoms; see a schematic of the structure of the molecule below. OH OH OH OH O HO O ОН ОН „ОН HO ОН NH₂ Each C atom contributes 1 p electron to the 77 orbitals in the conjugated system giving 14 electrons that move along the molecule. Assuming an average inter-nuclear distance of 140 pm, and that, in the ground state of amphotericin B, each quantum state is occupied by two electrons, use the particle-in-a-box model to calculate (a) the energy separation between the highest occupied state and the lowest unoccupied state, and (b) the frequency of the radiation required to produce a transition between the two states. OH

4. Amphotericin B is a polyene antifungal agent. In the molecule, 6 C-C single bonds and 7 C=C double bonds alternate along a chain of 14 C atoms; see a schematic of the structure of the molecule below. OH OH OH OH O HO O ОН ОН „ОН HO ОН NH₂ Each C atom contributes 1 p electron to the 77 orbitals in the conjugated system giving 14 electrons that move along the molecule. Assuming an average inter-nuclear distance of 140 pm, and that, in the ground state of amphotericin B, each quantum state is occupied by two electrons, use the particle-in-a-box model to calculate (a) the energy separation between the highest occupied state and the lowest unoccupied state, and (b) the frequency of the radiation required to produce a transition between the two states. OH

Chemistry
Chemistry
10th Edition
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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4. Amphotericin B is a polyene antifungal agent. In the molecule, 6 C-C single bonds and 7 C=C double bonds alternate along a chain of 14 C atoms; see a schematic of the structure of the molecule below. OH OH HO O OH OH OH OH O,,.. OH HO" ОН OH NH₂ Each C atom contributes 1 p electron to the 77 orbitals in the conjugated system giving 14 electrons that move along the molecule. Assuming an average inter-nuclear distance of 140 pm, and that, in the ground state of amphotericin B, each quantum state is occupied by two electrons, use the particle-in-a-box model to calculate (a) the energy separation between the highest occupied state and the lowest unoccupied state, and (b) the frequency of the radiation required to produce a transition between the two states.
Transcribed Image Text:4. Amphotericin B is a polyene antifungal agent. In the molecule, 6 C-C single bonds and 7 C=C double bonds alternate along a chain of 14 C atoms; see a schematic of the structure of the molecule below. OH OH HO O OH OH OH OH O,,.. OH HO" ОН OH NH₂ Each C atom contributes 1 p electron to the 77 orbitals in the conjugated system giving 14 electrons that move along the molecule. Assuming an average inter-nuclear distance of 140 pm, and that, in the ground state of amphotericin B, each quantum state is occupied by two electrons, use the particle-in-a-box model to calculate (a) the energy separation between the highest occupied state and the lowest unoccupied state, and (b) the frequency of the radiation required to produce a transition between the two states.
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