Magnetic moment of singly ionized helium

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SUMMARY

The magnetic moment of singly ionized helium (He+) can be calculated using the Bohr model, specifically by substituting Z=2 and e=1 into the Bohr radius expression. The angular momentum (L) is determined using the formula L = 2πνr². It is crucial to focus on the electron's magnetic moment rather than the nucleus, as the helium nucleus is an alpha particle. The approach involves calculating the radius of the electron orbit and comparing the resulting magnetic moment to the Bohr magneton.

PREREQUISITES
  • Understanding of the Bohr model of the atom
  • Familiarity with angular momentum calculations
  • Knowledge of magnetic moments and the Bohr magneton
  • Basic concepts of atomic structure, particularly for helium
NEXT STEPS
  • Calculate the Bohr radius for singly ionized helium (He+)
  • Explore the derivation of magnetic moments in atomic physics
  • Research the Lande g-factor and its application in magnetic moment calculations
  • Compare classical and quantum mechanical approaches to magnetic moments
USEFUL FOR

Students studying atomic physics, physicists interested in magnetic properties of ions, and educators teaching concepts related to magnetic moments and the Bohr model.

Emspak
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Homework Statement



Find the magnetic moment of singly ionized helium in terms of Bohr Magneton

I know the expression for the Bohr Magneton -- I am not trying to get a walk-through here as I want to do this myself, but I just want to know if I am correct in assuming that to get the problem going I use the Bohr radius expression, but with Z=2 and e = 1 (since we have one electron and two protons).

Plugging in the Bohr radius to the expression for angular momentum (L= 2\pi \nu r^2 after that.

Mostly I wasn't sure if I should assume its the magnetic moment of the nucleus or the electron around it...
 
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that's just it -- it isn't entirely clear from the question whether we're supposed to work from the spins or fro mthe shell model, or derive the whole thing. I was going to derive it and try to go from there.
 
Well what does the coursework do?
 
well, so far he hasn't gone into the equations using Lande g-factor yet, or any of that. So I suspect that I should do the following:

-calculate the radius of single electron orbit around He nucleus using Bohr model
- plug that into the expressions for magnetic moment, working basically classically
- see how that compares to bohr magneton

Does that sound reasonable?
 

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