(a)
Interpretation:
The spin and number of equivalent nuclei required to produce the given ESR spectrum are to be stated.
Concept introduction:
Electron spin resonance is the method to study the materials with an unpaired electron. An unpaired electron absorbs the microwave radiation under the strong magnetic field. The difference between two energy levels is calculated by the formula shown below.
Answer to Problem 16.22E
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
Explanation of Solution
The give ESR spectrum is shown below.
Figure 1
The number of spins in the ESR spectrum is shown below.
Where,
•
•
The total number of signal in the given ESR spectrum is
Three different peaks with same intensity indicate that
Substitute the values of
The above equation is further simplified for the value of
Therefore, the spin and number of equivalent nuclei required to produce the given ESR spectrum are
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
(b)
Interpretation:
The spin and number of equivalent nuclei required to produce the given ESR spectrum are to be stated.
Concept introduction:
Electron spin resonance is the method to study the materials with an unpaired electron. An unpaired electron absorbs the microwave radiation under the strong magnetic field. The difference between two energy levels is calculated by the formula shown below.
Answer to Problem 16.22E
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
Explanation of Solution
The give ESR spectrum is shown below.
Figure 2
The number of spins in the ESR spectrum is shown below.
Where,
•
•
The total number of signal in the given ESR spectrum is
Three peaks with different intensities indicate that two equivalent nuclei are present.
Substitute the values of
The above equation is further simplified for the value of
Therefore, spin and number of equivalent nuclei required to produce the given ESR spectrum are
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
(c)
Interpretation:
The spin and number of equivalent nuclei required to produce the given ESR spectrum are to be stated.
Concept introduction:
Electron spin resonance is the method to study the materials with an unpaired electron. An unpaired electron absorbs the microwave radiation under the strong magnetic field. The difference between two energy levels is calculated by the formula shown below.
Answer to Problem 16.22E
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
Explanation of Solution
The give ESR spectrum is shown below.
Figure 3
The number of spins in the ESR spectrum is shown below.
Where,
•
•
The total number of signal in the given ESR spectrum is
Five different peaks with same intensity represents that
Substitute the values of
The above equation is further simplified for the value of
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
(d)
Interpretation:
The spin and number of equivalent nuclei required to produce the given ESR spectrum are to be stated.
Concept introduction:
Electron spin resonance is the method to study the materials with an unpaired electron. An unpaired electron absorbs the microwave radiation under the strong magnetic field. The difference between two energy levels is calculated by the formula shown below.
Answer to Problem 16.22E
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
Explanation of Solution
The give ESR spectrum is shown below.
Figure 4
The number of spins in the ESR spectrum is shown below.
Where,
•
•
The total number of signal in the given ESR spectrum is
Five different peaks with different intensities indicate that four equivalent nuclei are present.
Substitute the values of
The above equation is further simplified for the value of
Therefore, the spin and number of equivalent nuclei required to produce the given ESR spectrum are
The spin and number of equivalent nuclei required to produce the given ESR spectrum are
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Chapter 16 Solutions
Physical Chemistry
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