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The Stern Gerlach experiment was meant to prove the orbital quantization of electrons where there should be +ml,0,-ml states. So for l=2, there should be 5 beams.

But they saw 2 beams, which was shown to be due to the 2 states of spin.

Now, because of the addition of the spin magnetic moment, shouldn't there be now 10 beams?(2 additional states for each the 5 orbital states).

What happened to the orbital magnetic contribution?

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See this post and the answer:… – Kyle Kanos Dec 20 '13 at 1:17
Sometimes it's only the largest effect that gets observed. – DWin Dec 20 '13 at 5:24

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