eight-carbon polyene (CH2=CH-CH=CH-CH=CH-CH=CH2) can be modeled mensional particle in a box of length 1nm. at are the values of the quantum number n for the highest occupied (HOMO) and est unoccupied (LUMO) energy level based on the number of pi electrons in this ecule? LUMO n= HOMO n= lict the wavelength of light that would be absorbed in order to induce an electronic sition between the HOMO-LUMO gap. In what region of the electromagnetic =trum would this transition fall? λ =

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
Chapter3: Atomic Shells And Classical Models Of Chemical Bonding
Section: Chapter Questions
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The pi electrons in an eight-carbon polyene (CH2=CH-CH=CH-CH=CH-CH=CH2) can be modeled
as a one-dimensional particle in a box of length 1nm.
a.
What are the values of the quantum number n for the highest occupied (HOMO) and
lowest unoccupied (LUMO) energy level based on the number of pi electrons in this
molecule?
HOMO n=
LUMO n=
b. Predict the wavelength of light that would be absorbed in order to induce an electronic
transition between the HOMO-LUMO gap. In what region of the electromagnetic
spectrum would this transition fall?
ΔΕ =
λ =
Transcribed Image Text:The pi electrons in an eight-carbon polyene (CH2=CH-CH=CH-CH=CH-CH=CH2) can be modeled as a one-dimensional particle in a box of length 1nm. a. What are the values of the quantum number n for the highest occupied (HOMO) and lowest unoccupied (LUMO) energy level based on the number of pi electrons in this molecule? HOMO n= LUMO n= b. Predict the wavelength of light that would be absorbed in order to induce an electronic transition between the HOMO-LUMO gap. In what region of the electromagnetic spectrum would this transition fall? ΔΕ = λ =
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