H H 5. The mono negative ion can be prepared. H a. How many lines are expected in the spectrum, and what would be the relative intensities of these? b. What evidence would you employ and what experiments could be carried out to indicate electron delocalization onto the oxygen? c. The magnitude of au in this material is 2.37 gauss. Compare the spin density on hydrogen in this molecule with that on a hydrogen atom.

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
Chapter4: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...
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Spectroscopy Drago book, second edition, chapter 9 electron paramagnetic resonance, page 402 ques 5

arper & RoW, New York, 1963.
C. P. Shchter, Principles of Magnelic Reso
R. M. Golding, “Applied Wave Mechanics," Van Nostrand Reinhold, New York 1964.
A. Abragam, "The Principles of Nuclear Magnetism," Clarendon Press, Oxford, 1961.
G. E. Pake and T. L. Estle, “Paramagnetic Resonance," 2nd e., W. A. Benjamin, New
York, 1973.
H. Fisher, "Magnetic Properties of Free Radicals," Landolt-Bernstein Tables, New Series
Group II, Vol. I, Springer-Verlag, Berlin, 1965.
1. Convert the derivative curves below to absorption curves:
EXERCISES
(A)
(B)
2. a. How many hyperfine peaks would be expected from delocalization of the odd
electron in dibenzene chromium cation onto the rings?
b. Using a procedure similar to that in Fig. 9–6, explain how the number of peaks
arises and what the relative intensities would be.
* For references heavily oriented toward the epr of transition metal ions, sec Chapter 13.
402
Chapter 9 Electron Paramagnetic Resonance Spectroscopy
3. a. Copper(II) acetate is a dimer, and the two copper atoms are strongly interacting.
The epr spectrum consists of seven lines with intensity ratios 1:2:3:4:3:2:1.
Copper nuclei have an I value of ,, and copper acetate consists of a ground state
that is a singlet and an excited state that is a triplet. Explain the number and relative
intensity of the lines in the spectrum. [For answer, see B. Bleaney and K. D. Bowers,
Proc. Roy. Soc. (London), A214, 451 (1952).]
b. What would you expect to happen to the signal intensity as a sample of copper
acetate is cooled? Why?
4. Predict the epr spectrum for (SO3)2NO²-.
H
5. The mono negative ion
O-
-0-
can be prepared.
H
Н
a. How many lines are expected in the spectrum, and what would be the relative
intensities of these?
b. What evidence would you employ and what experiments could be carried out to
indicate electron delocalization onto the oxygen?
c. The magnitude of ay in this material is 2.37 gauss. Compare the spin density on
hydrogen in this molecule with that on a hydrogen atom.
d. How would the sign of the proton hyperfine coupling constant indicate whether
the odd electron was in a sigma- or pi-molecular orbital?
e. Using the value of a, given above and the fact that the unpaired electron is in the
T-system, calculate the spin density on the nearest neighbor carbon.
6. The 1'C hyperfine coupling in the methyl radical is 41 gauss, and the proton hyperfine
coupling is 23 gauss. Sketch the spectrum expected for 13.CH, radical. [For answer,
scc T. Cole et al., Mol. Phys., 1, 406 (1958).]
7. Assume that all hyperfine lines can be resolved and sketch the spectrum for the
chlorobenzene anion radical.
8. Assuming all other factors constant, would line broadening be greater for a bimolecular
process with a rate constant of 107 or with a rate constant of 1010?
9. How many lines would you expect in the epr spectrum of (CN),CoO,Co(NH,),?
Explain.
10. The spectrum below is obtained for the NH,radical:
a. Convert it to an absorption spectrum.
b. How could you determine whether the larger or smaller splitting is due to hydrogen?
c. Assume that the larger splitting is due to nitrogen. Construct a diagram similar to
Fig. 9–10 to explain the spectrum.
Transcribed Image Text:arper & RoW, New York, 1963. C. P. Shchter, Principles of Magnelic Reso R. M. Golding, “Applied Wave Mechanics," Van Nostrand Reinhold, New York 1964. A. Abragam, "The Principles of Nuclear Magnetism," Clarendon Press, Oxford, 1961. G. E. Pake and T. L. Estle, “Paramagnetic Resonance," 2nd e., W. A. Benjamin, New York, 1973. H. Fisher, "Magnetic Properties of Free Radicals," Landolt-Bernstein Tables, New Series Group II, Vol. I, Springer-Verlag, Berlin, 1965. 1. Convert the derivative curves below to absorption curves: EXERCISES (A) (B) 2. a. How many hyperfine peaks would be expected from delocalization of the odd electron in dibenzene chromium cation onto the rings? b. Using a procedure similar to that in Fig. 9–6, explain how the number of peaks arises and what the relative intensities would be. * For references heavily oriented toward the epr of transition metal ions, sec Chapter 13. 402 Chapter 9 Electron Paramagnetic Resonance Spectroscopy 3. a. Copper(II) acetate is a dimer, and the two copper atoms are strongly interacting. The epr spectrum consists of seven lines with intensity ratios 1:2:3:4:3:2:1. Copper nuclei have an I value of ,, and copper acetate consists of a ground state that is a singlet and an excited state that is a triplet. Explain the number and relative intensity of the lines in the spectrum. [For answer, see B. Bleaney and K. D. Bowers, Proc. Roy. Soc. (London), A214, 451 (1952).] b. What would you expect to happen to the signal intensity as a sample of copper acetate is cooled? Why? 4. Predict the epr spectrum for (SO3)2NO²-. H 5. The mono negative ion O- -0- can be prepared. H Н a. How many lines are expected in the spectrum, and what would be the relative intensities of these? b. What evidence would you employ and what experiments could be carried out to indicate electron delocalization onto the oxygen? c. The magnitude of ay in this material is 2.37 gauss. Compare the spin density on hydrogen in this molecule with that on a hydrogen atom. d. How would the sign of the proton hyperfine coupling constant indicate whether the odd electron was in a sigma- or pi-molecular orbital? e. Using the value of a, given above and the fact that the unpaired electron is in the T-system, calculate the spin density on the nearest neighbor carbon. 6. The 1'C hyperfine coupling in the methyl radical is 41 gauss, and the proton hyperfine coupling is 23 gauss. Sketch the spectrum expected for 13.CH, radical. [For answer, scc T. Cole et al., Mol. Phys., 1, 406 (1958).] 7. Assume that all hyperfine lines can be resolved and sketch the spectrum for the chlorobenzene anion radical. 8. Assuming all other factors constant, would line broadening be greater for a bimolecular process with a rate constant of 107 or with a rate constant of 1010? 9. How many lines would you expect in the epr spectrum of (CN),CoO,Co(NH,),? Explain. 10. The spectrum below is obtained for the NH,radical: a. Convert it to an absorption spectrum. b. How could you determine whether the larger or smaller splitting is due to hydrogen? c. Assume that the larger splitting is due to nitrogen. Construct a diagram similar to Fig. 9–10 to explain the spectrum.
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