Question

What are the possible values of l and ml

for principal quantum number n = 2.​

Answer 1

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Well, your set of quantum numbers is not "allowed" for a particular electron because of the value you have for 1,angular momentum quantum number.

The values the angular momentum quantum number is allowed to take go from zero to n-1,n being the principal quantum number.

So, in your case, if n is equal to 2 the values l must take are 0, 1, Since l is listed as having the value 2. this puts it outside the allowed range.

The value for m l can exist, since ml , the **magnetic quantum number,ranges from −l , to +1 .

Likewise, ms , the spin quantum number, has anacceptable value, since it can only be −1/2 or +1/2 .

Therefore, the only value in your set that is not allowed for a quantum number is l=2 .

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Answer 2

Answer

Well, your set of quantum numbers is not "allowed" for a particular electron because of the value you have for 1,angular momentum quantum number.

The values the angular momentum quantum number is allowed to take go from zero to n-1,n being the principal quantum number.

So, in your case, if n is equal to 2 the values l must take are 0, 1, Since l is listed as having the value 2. this puts it outside the allowed range.

The value for m l can exist, since ml , the **magnetic quantum number,ranges from −l , to +1 .

Likewise, ms , the spin quantum number, has anacceptable value, since it can only be −1/2 or +1/2 .

Therefore, the only value in your set that is not allowed for a quantum number is l=2 .