Interpretation:
The ESR spectrum for the
Concept introduction:
The full form of ESR spectroscopy is electron-spin resonance spectroscopy. The ESR spectroscopy is used to observe those materials which contain unpaired electrons. ESR spectroscopy also works like NMR spectroscopy, but, in ESR, electron spin in spite of atomic nuclei spin gets excited.
Answer to Problem 16.35E
The ESR spectrum for the
Explanation of Solution
The spin value of
The number of
The spin value of
The number of
The given hyperfine coupling constant
The given magnetic field is
The value of total
The expression that is use to calculate the ESR signals of the
Where,
•
Substitute the value of total spin values and number of atoms of
So, the total signal of
Thus, the value of
The value of
Where,
•
•
Substitute the values
The value of
Substitute the values
The value of
Substitute the values
The value of
Substitute the values
The value of
Substitute the values
The value of
Substitute the values
The value of
Substitute the values
Therefore, the ESR spectrum for the
The ESR spectrum for the
Want to see more full solutions like this?
Chapter 16 Solutions
Physical Chemistry
- Why is 133C-133C spin-spin splitting not observed in ordinary organic compounds?arrow_forwardClassify the 19F nuclei in PF5 into chemically or magnetically equivalent groups. Give your reasoning.arrow_forwardCalculate the frequency separation of the nuclear spin levels of a 13C nucleus in a magnetic field of 15.9 T given that the magnetogyric ratio is 6.73 × 107 T-1 s-1.Ans = ______ MHz. (Note: because the magnetogyric ratio of 13C nucleus is only about 1/4th of that of a proton, the frequency of resonance is also only about 1/4th of the proton resonance frequency in the same instrument.arrow_forward
- The bond length of CO is 112.82 pm. What resolution is needed (in wavelength or wavenumber) if you desire to be able to distinguish the l = 0 → 1 rotational line in the rotational spectrum of 12C160 from 13C16O? The mass of 12C is 12 amu (this is an exact value). The mass of 13C is 13.00335 amu. The mass of 160 is 15.99491 amu.arrow_forwardCalculate the frequency of the J = 5 + 4 transition in the pure rotational spectrum of 12c160. Assume the equilibrium bond length is 106.38pm. Frequency is Hz What is the corresponding wavenumber? cm-1arrow_forwardCalculate the frequency of the J = 7 ← 6 transition in the pure rotational spectrum of 12C16O. Assume the equilibrium bond length is 109.36pm. Frequency is _____ H What is the corresponding wavenumber? ______ cm-1arrow_forward
- Using the Boltzmann’s law, show that, for a spin-1/2 nucleus at thermal equilibrium at temperature T in a magnetic field Bo, the probabilities of finding it in the a and ß states are: yħBo e kT 1 yhBo 1+е kт Pa ; Pg : yhBo 1+е kTarrow_forwardCalculate the ratio A/B for transitions with the following characteristics: (i) 500 MHz radiofrequency radiation, (ii) 3.0 cm microwave radiation.arrow_forwardThe EPR spectrum of a radical with two equivalent nuclei of a particular kind is split into five lines of intensity ratio 1:2:3:2:1. What is the spin of the nuclei?arrow_forward
- Calculate (in cm-1) the separation between the energy levels of the possible orientations of the magnetic moment of the nuclear spin, due to the presence of an external field of 1.4092 T. Data: gyromagnetic ratio for a proton gamma = 2.668x108 s-1 T-1, c = 3×1010 cm/sarrow_forwarddont provide handwriting solution ....arrow_forwardThe EPR spectrum of a radical with a single magnetic nucleus is split into four lines of equal intensity. What is the nuclear spin of the nucleus?arrow_forward
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning