Figure out that Quantum Number

If an electron is present in the N \text N shell, find the total number of possible angular quantum numbers in this state.


The answer is 4.

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1 solution

Sravanth C.
Apr 23, 2016

Relevant wiki: Electron Configurations

We know that the Angular Quantum Numbers range from 0 0 to n 1 n-1 , where n n is the Principle Quantum number. That is, when n = n n=n :

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

But we know that the Principle Quantum Number of an electron in the N \text N shell = 4 =4 . Thus the set of all possible Angular Quantum Numbers would be:

l = 0 , 1 , 2 , 3 l =0,1,2,3

Thus there are 4 4 Angular Quantum Numbers at this state.

Don't you think this question is of Chemistry...

Aniket Sanghi - 5 years, 1 month ago

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It is a Quantum Mechanics Problem.

Swapnil Das - 5 years, 1 month ago

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