Is the following sets of quantum numbers valid? Give suitable reason. n=3,l=2,m=3,s=+1/2

The set of quantum numbers is not valid

Explanation:

There are four sets of quantum numbers;

1) Principal quantum number (n) which takes on integer values from n = 1,2,3

2) Azimuthal quantum number (l) which takes on values 1, 2, (n - 1)

3) Magnetic quantum numbers (ml) which takes on values from (-l) to (+l)

4) spin quantum number (ms) which takes on values of ±1/2.

From the above, we can see that m can not have a value of 3 when l =2 because m has values between (-l) to (+l). Thus, the sets of quantum numbers is not valid.