The Boltzmann distribution can be used to determine the relative density of particles having different potential energies. Consider atomic nuclei in a strong magnetic field. NMR is possible because many atomic nuclei have weak magnetic dipole moments. The difference in orientation energy of hydrogen nuclei parallel and antiparallel to a static magnetic field of 1 T is 2.8 x 10-26 Joules. The lower potential energy is when the nuclear dipole moments are parallel to the applied magnetic field. a) What is the fractional polarization of hydrogen nuclei (N indicates number) Nparallel – Nantiparallel Nparallel + Nantiparallet in a 1T magnetic field at T = 300K? b) What would the fractional polarization be at T = 1K? A

The Boltzmann distribution can be used to determine the relative density of particles having different potential energies. Consider atomic nuclei in a strong magnetic field. NMR is possible because many atomic nuclei have weak magnetic dipole moments. The difference in orientation energy of hydrogen nuclei parallel and antiparallel to a static magnetic field of 1 T is 2.8 x 10-26 Joules. The lower potential energy is when the nuclear dipole moments are parallel to the applied magnetic field. a) What is the fractional polarization of hydrogen nuclei (N indicates number) Nparallel – Nantiparallel Nparallel + Nantiparallet in a 1T magnetic field at T = 300K? b) What would the fractional polarization be at T = 1K? A