Effective Bohr magneton?

[BeauGeste]

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?

 

[marlon]

The Bohr magneton is a properly defined constant. So NO, is the answer to your question.

marlon

 

[charng]

The Bohr magneton is a fundamental unit of magnetic moment and is defined as e hbar / 2m, where e is the electron charge, hbar is the reduced Planck constant, and m is the mass of the electron. It is commonly used in quantum mechanics to describe the magnetic moment of an electron in an atom.

In the context of metals and semiconductors, the effective mass should be used for m instead of the free electron mass. This is because in these materials, the electron behaves differently than in free space due to interactions with the crystal lattice. The effective mass takes into account these interactions and is a more accurate representation of the electron's behavior in these materials.

However, it is true that in many papers and studies, the free electron mass is still used instead of the effective mass. This is often due to convenience or simplicity, as the effective mass can vary depending on the material and experimental conditions. In some cases, the difference between the two may be negligible and the free electron mass may give a good enough approximation.

In the case of Larmor precession, the frequency is given by g* mu_B B / hbar, where g* is the effective g-factor and mu_B is the Bohr magneton. It would be more accurate to use an effective mu_B that takes into account the effective mass of the electron. However, the difference between the two may not be significant enough to affect the overall results.

In conclusion, while the effective mass should be used for m when dealing with electrons in metals and semiconductors, the free electron mass is still commonly used in research and studies. It is important to consider the differences between the two and use the appropriate one depending on the specific context and accuracy needed for the study.