Magnetic moment of singly ionized helium

In summary, the conversation discusses finding the magnetic moment of singly ionized helium in terms of Bohr Magneton. The participants consider using the Bohr radius expression with Z=2 and e=1, and plugging it into the expression for angular momentum. They also discuss whether to focus on the magnetic moment of the nucleus or the electron around it, with the suggestion to look up the magnetic moment of an alpha particle. They also mention the use of Lande g-factor and deriving the whole thing, but the exact approach is not clear from the question. The participants propose calculating the radius of a single electron orbit around the helium nucleus using the Bohr model and plugging it into the expression for magnetic moment to compare with Bohr Magneton
  • #1
Emspak
243
1

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 ([itex]L= 2\pi \nu r^2[/itex] 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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  • #3
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.
 
  • #4
Well what does the coursework do?
 
  • #5
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?
 

FAQ: Magnetic moment of singly ionized helium

1. What is the definition of magnetic moment of singly ionized helium?

The magnetic moment of singly ionized helium is a measure of the strength and direction of the magnetic field produced by the orbital and spin motions of the single electron in the helium ion.

2. How is the magnetic moment of singly ionized helium calculated?

The magnetic moment of singly ionized helium can be calculated using the formula μ = -gJμB, where g is the Landé g-factor, J is the total angular momentum of the electron, and μB is the Bohr magneton.

3. What is the value of the magnetic moment of singly ionized helium?

The magnetic moment of singly ionized helium has a value of approximately 1.3991 μB, where μB is the Bohr magneton (9.274 x 10-24 J/T).

4. How does the magnetic moment of singly ionized helium differ from that of neutral helium?

The magnetic moment of singly ionized helium is significantly higher than that of neutral helium due to the removal of one electron, which changes the electron configuration and the resulting magnetic moment.

5. What is the significance of the magnetic moment of singly ionized helium?

The magnetic moment of singly ionized helium is important in understanding the magnetic properties of atoms and molecules, as well as in various applications such as nuclear magnetic resonance (NMR) and magnetic resonance imaging (MRI).

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