Energy for an electron in an orbital

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SUMMARY

There is no energy difference between two electrons occupying the same orbital with anti-parallel spins in the absence of an external magnetic field. However, the presence of an external magnetic field introduces energy differences due to the Zeeman effect, specifically the "anomalous" Zeeman effect, which affects the energy levels of the electrons based on their spin orientation.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with electron orbitals and spin
  • Knowledge of the Zeeman effect
  • Basic concepts of external magnetic fields
NEXT STEPS
  • Research the Zeeman effect and its implications in quantum mechanics
  • Study the "anomalous" Zeeman effect and its differences from the normal Zeeman effect
  • Explore the role of magnetic fields in atomic energy levels
  • Investigate the concept of electron spin and its significance in quantum theory
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Students and professionals in physics, particularly those focusing on quantum mechanics, atomic structure, and magnetic interactions in electrons.

Arpit Verma
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Is there any energy difference b/w two electrons of the same orbital having anti parallel spin?
 
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No.
 
It depends on whether there is an external magnetic field or not. For the case with external magnetic field, look up the Zeeman effect, in particular the "anomalous" Zeeman effect.
 
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