Is Electron Spin always Well Balanced?

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SUMMARY

The discussion centers on the concept of electron spin and its magnetic moment. It clarifies that the electron exhibits intrinsic angular momentum, leading to a magnetic moment that is approximately twice the expected value based on classical models. This discrepancy is significant in understanding spin-orbit interactions, which influence atomic energy levels and fine structure in atomic spectra. The discussion also emphasizes that the classical interpretation of electron spin as a spinning sphere is inadequate for accurately modeling its magnetic properties.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with intrinsic angular momentum concepts
  • Knowledge of magnetic moments and their calculations
  • Awareness of the Zeeman effect and its implications
NEXT STEPS
  • Research the implications of spin-orbit interaction in atomic physics
  • Explore the Zeeman effect and its applications in spectroscopy
  • Study the mathematical modeling of magnetic moments in quantum mechanics
  • Investigate the differences between classical and quantum descriptions of electron behavior
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Physicists, quantum mechanics students, and researchers interested in atomic structure and magnetic properties of electrons.

Zoey
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Just curious. Any answers would be appreciated. Thanks!
 
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Just curious. :biggrin: What do you mean by "well balanced"?
 
jtbell said:
Just curious. :biggrin: What do you mean by "well balanced"?
Hi,
I just mean like not randomly going all over the place. So basically like if they are steady or not :)
 
Zoey said:
Hi,
I just mean like not randomly going all over the place. So basically like if they are steady or not :)
As the electron displays an intrinsic angular momentum, you might expect a magnetic moment which follows the form of that for an electron orbit. The Z-component of magnetic moment associated with the electron spin would then be expected to be, but, the measured value turns out to be actually about twice as that. The electron spin magnetic moment is important in the spin-orbit interaction which splits atomic energy levels and gives rise to fine structure in the spectra of atoms. The electron spin magnetic moment is also a factor in the interaction of atoms with external magnetic fields (look for Zeeman effect). The term "electron spin" could not to be taken literally in the classical sense as a description of the origin of the magnetic moment described above. To be sure, a spinning sphere of charge can produce a magnetic moment, but the magnitude of the magnetic moment obtained above cannot be reasonably modeled by considering the electron as a spinning sphere.
 
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