in solids

We turn now to a (crystalline) solid, with nuclei that are more than just a point charges: the nuclei have a magnetic moment. How does this change the energy levels of the solid ?

You will understand how the crystal symmetry affects the way how we use perturbation theory in a solid. You will have a mental picture for the three major contributions to the magnetic hyperfine field. And you have a first impression about the magnitude of hyperfine fields on native and on impurity nuclei in solids.

1. Here are three exercises to train your familiarity with g-factors and magnetic moments. Report your answers and your reasoning in the ‘post first’ forum:

(1.a) We have introduced before this tabulation of nuclear moments. Navigate to the isotope 111Cd, and use the information you find there to determine the g-factor of the ground state level of 111Cd, as well as the g-factor of the 245 keV level of 111Cd.

(1.b) The free electron has a magnetic moment of 1 muB. Determine its g-factor.

(1.c) The free neutron has a g-factor of -3.826. Determine its magnetic moment.

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2. Imagine you have at your disposal

  • a carousel
  • a child
  • a bar magnet
  • an electrically charged ball
  • a magnetometer

Describe how you can use all these ingredients to create something that illustrates as many contributions to the hyperfine field as possible.

Home Forums in solids – task 2

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Expected time: 75 minutes (report)

A04-02