3.5 Problems for This Chapter
167
What are the values for the z-component μ z of the magnetic moment of the
spin1
2 nucleus? If we consider our system of interest to consist of a single
such spin particle in the presence of the applied magnetic field B and in
thermal equilibrium with an appropriate reservoir at temperature T , determine
the probabilities associated with each of its accessible energy states. Obtain
an expression for the average magnetic moment μ z for the spin1
2 particle,
and determine and discuss its limiting behaviours for βg I μ N B 1 and
βg I μ N B 1.
References
1. L.K. Nash, Chemthermo: A Statistical Approach to Classical Chemical Thermodynamics
(Addison-Wesley, Reading MA, 1972)
2. D.C. Schoepf, Am. J. Phys. 70, 128 (2002)
3. U.S.A. National Institute for Science and Technology (NIST) website: https://physics.nist.gov/
PhysRefData/ASD/levels.form.html
4. P.T. Landsberg, J. Dunning-Davies, D. Pollard, Am. J. Phys. 62, 712 (1994)
5. W. Greiner, L. Neise, H. Stöcker, Thermodynamics and Statistical Mechanics (Springer, New
York, 1995)
6. A. Ben Naim, Statistical Thermodynamics for Chemists and Biochemists (Plenum, New York,
1992)
167
What are the values for the z-component μ z of the magnetic moment of the
spin1
2 nucleus? If we consider our system of interest to consist of a single
such spin particle in the presence of the applied magnetic field B and in
thermal equilibrium with an appropriate reservoir at temperature T , determine
the probabilities associated with each of its accessible energy states. Obtain
an expression for the average magnetic moment μ z for the spin1
2 particle,
and determine and discuss its limiting behaviours for βg I μ N B 1 and
βg I μ N B 1.
References
1. L.K. Nash, Chemthermo: A Statistical Approach to Classical Chemical Thermodynamics
(Addison-Wesley, Reading MA, 1972)
2. D.C. Schoepf, Am. J. Phys. 70, 128 (2002)
3. U.S.A. National Institute for Science and Technology (NIST) website: https://physics.nist.gov/
PhysRefData/ASD/levels.form.html
4. P.T. Landsberg, J. Dunning-Davies, D. Pollard, Am. J. Phys. 62, 712 (1994)
5. W. Greiner, L. Neise, H. Stöcker, Thermodynamics and Statistical Mechanics (Springer, New
York, 1995)
6. A. Ben Naim, Statistical Thermodynamics for Chemists and Biochemists (Plenum, New York,
1992)