Modern Physics
Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 9P
To determine

The possible values of angle between z axis and spin vector of Ω.

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a) How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7? b)Calculate the smallest possible angle the L can make with respect to the vertical axis. (Hint: The smallest angle occurs when ml takes the maximum allowed value. Sketch L in that case and compare the vertical component, which is related to ml, to the magnitude of L, which is related to l.)
Assume that there is an isotropic hyperfine interaction between electron and nucleus (or nuclei). Using first order perturbation theory to calculate the energies of all possible spin states. Also calculate the possible ESR transitions between these states. Draw the energy level diagram and ESR spectrum. Assume you have positive isotropic coupling constant. You have electron with S=1/2 and one nucleus with I=2
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