How many will it be this time?

If an electron is present in the f f orbital of the N \text N shell, what are the total possible magnetic quantum numbers ?


The answer is 7.

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1 solution

Sravanth C.
Apr 23, 2016

Relevant wiki: Electron Configurations

We know that the Magnetic Quantum Numbers range from l -l to l l , where l l is the Angular Quantum number. That is, when l = l l=l :

m l = 1 , 2 , 3 , , ( n 1 ) m_l=1,2,3,\cdots ,(n-1)

But we know that the Angular Quantum Number of an electron in the f f shell = 3 =3 . Thus the set of all possible Magnetic Quantum Numbers would be:

m l = 3 , 2 , 1 , 0 , 1 , 2 , 3 m_l =-3,-2,-1,0,1,2,3

Thus there are 7 7 Magnetic Quantum Numbers at this state.

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