P16.4 Calculate the energy levels of the 7-network in hexa-triene, C6Hg, using the particle in the box model. To calculatethe box length, assume that the molecule is linear and use thevalues 135 and 154 pm for C=C and C-C bonds. What isthe wavelength of light required to induce a transition fromthe ground state to the first excited state? How does this com-pare with the experimentally observed value of 240 nm?What does the comparison made suggest to you about esti-mating the length of the 7-network by adding bond lengthsfor this molecule?

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Calculate the energy levels of the 7-network in hexa-

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

Chapter6: Quantum Mechanics And Molecular Structure

Section: Chapter Questions

Problem 39P: The photoelectron spectrum of HBr has two main groups of peaks. The first has ionization energy...

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Question

P16.4 Calculate the energy levels of the 7-network in hexa-
triene, C6Hg, using the particle in the box model. To calculate
the box length, assume that the molecule is linear and use the
values 135 and 154 pm for C=C and C-C bonds. What is
the wavelength of light required to induce a transition from
the ground state to the first excited state? How does this com-
pare with the experimentally observed value of 240 nm?
What does the comparison made suggest to you about esti-
mating the length of the 7-network by adding bond lengths
for this molecule?

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