Answer to Question #107704 in Inorganic Chemistry for Delaney Gilder

Question #107704
What is the maximum number of electrons that can have the following set of quantum numbers? n=4, l= 3, ml= 1, ms= -1/2
1
Expert's answer
2020-04-06T12:03:10-0400

Only one. Because you are given the energy level, n = 4; the subshell, l = 3 (f-subshell, total 7 orbitals, maximum 14 electrons) and the exact orbital, ml = 1, in which the electrons reside. Since you know the exact orbital, it follows that only two electrons can share these three quantum numbers, one having spin-up, ms = +1/2, and the other having spin-down, ms = -1/2. And only one electron can share those four quantum numbers.


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