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Explain why the quantum number set (2, 2, -1, -½) is not possible for an electron in an atom.
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What you have here are: \(\sf (n, l, m_l, m_s)\) In order to understand WHY you cannot have this arrangement of quantum numbers, you need to be familiar what each of them are. So i ask, do you know what each of them are? n = principal quantum number l = angular momentum quantum number m\(_l\) = magnetic quantum number m\(_s\) = magnetic spin \(l\) depends on n. To find \(l\), you need to have: \(\sf \color{red}{n-1} =\) \(l\) this is what determines the orbital shape! (the shbshells) This is all you need to know, in general. That the values can range from 0 to n-1.
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