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.
If you feel you can benefit from it, it may be worthwhile to go through the g-factor topic in the Refresher’s section first, before tackling the tasks.
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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A04-02