Calculating Magnetic Flux Density for Zeeman Splitting 0.05 /cm

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SUMMARY

The discussion centers on calculating the magnetic flux density required to achieve a Zeeman splitting of 0.05 /cm in the ground state of hydrogen. The key equation used is ΔE = μB * B, where μB is the Bohr magneton and B represents the magnetic flux density. Participants emphasize the need to convert the wavenumber of 0.05 /cm into frequency and subsequently into energy to determine the necessary magnetic field strength.

PREREQUISITES
  • Understanding of Zeeman effect and its implications in quantum mechanics.
  • Familiarity with the Bohr magneton (μB) and its significance in magnetic interactions.
  • Knowledge of the relationship between wavenumber, frequency, and energy in quantum physics.
  • Basic grasp of magnetic flux density and its equivalence to magnetic field strength (B).
NEXT STEPS
  • Convert wavenumber to frequency using the formula: frequency = wavenumber * speed of light.
  • Calculate energy from frequency using the equation: energy = h * frequency, where h is Planck's constant.
  • Explore the implications of magnetic flux density in other quantum systems beyond hydrogen.
  • Study the effects of varying magnetic fields on atomic energy levels in detail.
USEFUL FOR

Students and researchers in quantum mechanics, physicists studying atomic interactions, and anyone interested in the applications of the Zeeman effect in spectroscopy.

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Homework Statement



What magnetic flux density is required to produce a zeeman splitting of 0.05 /cm in the ground state of hydrogen?


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The Attempt at a Solution



I\'ve worked out that delta E in the ground state is Ub B where Ub is the Bohr magneton. But how do i work out the flux density requied to produce that splitting?!
 
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Not sure exactly where your confusion lies, but I'm guessing it's one of two areas:

1. Are you aware that "magnetic flux density" is the same as the magnetic field B?

2. Can you convert the 0.05/cm wavenumber value into a frequency, and from there into an energy?
 

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