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Interpretation:
The frequency required to cause a proton to flip its spin when it is exposed to a magnetic field
Concept introduction:
The energy difference between the states is dependent upon the frequency. The expression is,
Here,
This frequency is dependent on the strength of the magnetic field and the gyromagnetic ratio. The expression is,
Here,
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Chapter 15 Solutions
Organic Chemistry; Modified MasteringChemistry with Pearson eText -- ValuePack Access Card; Study Guide and Student Solutions Manual for Organic Chemistry, Books a la Carte Edition (7th Edition)
- Describe nuclear magnetic resonance spectroscopy .arrow_forwardWe calculated that the resonance frequency of an 1H in the presence of an 11.74 tesla magnet was 500MHz, and we later saw that a 13C nucleus resonantes at approximately 125 MHz in this same magnetic field. What is the resonance frequency of a 19F nucleus in the presence of an 11.74 tesla magnet?arrow_forwardA scientist investigates the possibility of neutron spin resonance, and has available a commercial NMR spectrometer operating at 300 MHz for 1H nuclei. What is the NMR frequency of the neutron in this spectrometer? What is the relative population difference at room temperature? Which is the lower energy spin state of the neutron?arrow_forward
- A proton jumps between two sites with δ = 2.7 and δ = 4.8. At what rate of interconversion will the two signals collapse to a single line in a spectrometer operating at 550 MHz?arrow_forwardFind the ratio of the populations of the two spin states of protons in a magnetic field of 4.6973 T at 25°C. gp = 5.5857 UN = 5.0508 x 10-27 J/Tarrow_forwardHow can i calculate value of nuclear spin(I)? Why 11B’s I is 3/2 ?arrow_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_forward(a) Calculate the energy difference between the two spin states of 1H and of 13C in a magnetic field of 6.8 T. 1H 4.0 1.19e-25 X J 13C 4.0 J (b) What is the precession frequency of a 1H nucleus at this magnetic field? Of a 13C nucleus? 1H 4.0 290 MHz 13C 4.0 73 MHz (c) At what magnetic field do protons precess at a frequency of 300. MHz? 4.0 7.04 Tarrow_forwardAccording to the shell model, the spin-parity of the ground state of 0-18 (Z=8, A=15) nucleus is: O Nuclear spin: 1, parity: + Nuclear spin: 0, parity: + Nuclear spin: 2 parity: + Nuclear spin: 2 parity: - Ο Ο Ο Ο 13arrow_forward
- Calculate the magnetic fields that correspond to proton resonance frequencies of60.00 MHzarrow_forwardCalculate the energy separation between the spin states of an electron in a magnetic field of 0.250 T.arrow_forwardFor a 1H nucleus (a proton), what are the magnitude of the spin angular momentum and what are its allowed components along the z-axis? Express your answer in multiples of ħ. What angles does the angular momentum make with the z-axis?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
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