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Stern Gerlach Experiment

  • Thread starter erok81
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Homework Statement



I have a Stern-Gerlach experiment with a beam of silver and a magnetic moment due to the spin of the single valence electron give by μ=e/me S. And |S|=ℏ/2. The magnetic field is 1T.

The problem asks to compute the energy difference of the silver atoms in the two existing beams. The second part - which I am really confused on - Next up I am to find the frequency of the radiation that would induce a transition between these two states.

Homework Equations




The Attempt at a Solution



The energy of each beam is U=μs·B

Hence the energy is

[tex]E=\pm \frac{1}{2} \hbar \frac{e}{m_e} g B[/tex]

Therefore ΔE is

[tex]E= \frac{1}{2} \hbar \frac{e}{m_e} g B ~+~ \frac{1}{2} \hbar \frac{e}{m_e} g B~=~ \hbar \frac{e}{m_e} [/tex]

Where g≈2 and B=1 so there is a little cancelling.

My units end up being N·m = J.

I am worried this is wrong. My answer is really close to the Bohr Magneton. It is off by a 2 in the denominator and my units aren't quite right. So I guess first off, did I proceed correctly so far?

If that is correct, how does one even begin the second half? With no quantized energies I don't know where to start.
 

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