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Unformatted text preview: 2. For a given quantum number l there are (2l + 1) diﬀerent values of ml . For each given ml the electron
can also have two diﬀerent spin orientations. Thus, the total number of electron states for a given l is
given by Nl = 2(2l + 1).
(a) Now l = 3, so Nl = 2(2 × 3 + 1) = 14.
(b) In this case, l = 1, which means Nl = 2(2 × 1 + 1) = 6.
(c) Here l = 1, so Nl = 2(2 × 1 + 1) = 6.
(d) Now l = 0, so Nl = 2(2 × 0 + 1) = 2. ...
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 Fall '08
 SPRUNGER
 Physics

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