Chapter 1 Multiple Choice Questions

Fundamental constants

Planck's constant h = 6.626 10-34 J s
Boltzmann's constant kB = 1.381 10-23 J K-1
Vacuum permeability ?0 = 4? x 10-7 J s2 C-2 m-1
Gas constant R = 8.314 J K-1 mol-1

Magnetogyric ratios
Magnetogyric ratios of common nuclides can be found in Table 1.3, page 3.

. Calculate the spin angular momentum of 43Ca. [I = 7⁄2]

. How many values can the magnetic quantum number of a spin-5 nucleus take?

. What is the maximum value of the z-component of the spin angular momentum of 43Ca? [I = 7⁄2]

. Which of the following nuclides is likely to have spin quantum number 1?

. What is the magnetic moment of 205Tl?
[ɣ (205TI = 1.569 x 108 T-1 s-1, I = ½]

. What is the NMR frequency of 31P in a 20.0 T magnetic field?

. Which nuclide has an NMR frequency of 115.5 MHz in a 20.0 T magnetic field?

. 23Na has an NMR frequency of 198.52 MHz in a 750 MHz NMR spectrometer. What is its magnetogyric ratio?

. Calculate the equilibrium polarization of 13C nuclei in a 20.0 T magnetic field at 300 K.

. An electron and a proton are placed in a 1.0 T magnetic field at 300 K. What is the ratio of the equilibrium polarizations: |pe / pH| ?
[|ɣe| = 1.761 x 1011 T-1 s-1]

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