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.
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Expected time: 75 minutes (report)
A04-02