Effective Bohr magneton?

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SUMMARY

The Bohr magneton is defined as e hbar/2m, where 'm' typically refers to the free electron mass. In discussions regarding electrons in metals or semiconductors, the effective mass should not replace the free electron mass in calculations, as established in various papers. The Larmor precession frequency is given by g*mu_B*B/hbar, and the Bohr magneton remains a constant value. Therefore, using an effective magnetic moment (mu_B) is not appropriate in this context.

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  • Understanding of quantum mechanics and magnetic moments
  • Familiarity with the concept of effective mass in solid-state physics
  • Knowledge of Larmor precession and its mathematical formulation
  • Basic principles of electromagnetism and constants like the Bohr magneton
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  • Research the implications of effective mass in semiconductor physics
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  • Explore the significance of the Bohr magneton in various physical systems
  • Investigate the differences between free electron mass and effective mass in materials
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Physicists, materials scientists, and students studying solid-state physics or quantum mechanics who seek to understand the application of the Bohr magneton in different contexts.

BeauGeste
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The bohr magneton is e hbar/ 2 m
If we're talking about an electron in a metal or semiconductor, should the effective mass be used for m?
From all the papers I've seen, nobody does that. They just use the free electron mass. For instance the Larmor precession of an electron moment. The frequency is g* mu_B B/hbar. I would assume that an effective mu_B should be used.
Can anyone help?
 
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The Bohr magneton is a properly defined constant. So NO, is the answer to your question.

marlon
 

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