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The magnetic-shielding constant of a nucleus by free electrons is evaluated by obtaining the classical partition function for a system of free electrons in a uniform magnetic field perturbed by the field of a nuclear magnet. Both diamagnetic and paramagnetic terms are included in the Hamiltonian. For a highly degenerate gas, the shielding constant has oscillatory terms similar to those in the magnetic susceptibility of a free-electron gas. The possibility of observing these terms is discussed.
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Michael J. Stephen (1961) studied this question.
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