Magnetic Field Orbital Splitting

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SUMMARY

The discussion centers on the concept of magnetic field orbital splitting, specifically regarding the energy difference (ΔE) between degenerate orbitals in a magnetic field. The formula provided is ΔE = μB = (e*hbar/2m)B, where 'm' refers to the mass of the electron, not the hydrogen atom. This clarification is crucial for accurately applying the formula in quantum mechanics problems involving the hydrogen atom.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the hydrogen atom model
  • Knowledge of magnetic fields and their effects on atomic orbitals
  • Basic proficiency in using physical constants such as electron mass and Planck's constant
NEXT STEPS
  • Research the implications of Zeeman effect on atomic spectra
  • Study the role of magnetic fields in quantum mechanics
  • Explore advanced topics in quantum mechanics related to orbital angular momentum
  • Learn about the mathematical derivation of energy levels in magnetic fields
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Students and educators in physics, particularly those focusing on quantum mechanics and atomic structure, as well as researchers interested in the effects of magnetic fields on atomic orbitals.

MrMultiMedia
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Hi friends. I'm doing a homework problem about how degenerate orbitals split in the presence of a magnetic field. I understand everything, but I was just had a question about notation.

ΔE, the energy between degenerate orbitals in a magnetic field equals μB = (e*hbar/2m)B

I was just wondering what the m is? Is it mass? Since I'm using the hydrogen atom, do I just use the mass of the hydrogen atom? Thanks,

-MMM
 
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No, it is the mass of the electron.
 

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