Indicate which of the following sets of quantum numbers in an atom are unacceptable and explain why:

(a) \(\left(1,\ 0,\ \frac{1}{2},\ \frac{1}{2}\right)\), (b) \(\left(3,\ 0,\ 0,\ +\frac{1}{2}\right)\), (c) \(\left(2,\ 2,\ 1,\ +\frac{1}{2}\right)\), (d) \(\left(4,\ 3,\ -2,\ +\frac{1}{2}\right)\), (e) \((3,\ 2,\ 1,\ 1)\).

Step 1 of 6

Here we have to indicate which of the following sets of quantum numbers in an atom are unacceptable and explain why:

The given set of quantum numbers are,

(a) (1, 0, ½ , ½ ) (b) (3, 0 , 0, + ½ ) (c) (2, 2, 1, + ½ ) (d) (4, 3, -2, + ½ ) (e) (3, 2, 1, 1)

It is known that the quantum numbers can be calculated as follows,

Principal quantum number (n):- It is the quantum number which indicates the number of shell i.e 1,2,3,4... etc.

Azimuthal quantum number (l) :- The value of azimuthal quantum number for different orbitals are as follows,

Orbital s p d f

Value 0 1 2 3….(0 to n-1)

Magnetic quantum number(ml) :- Magnetic quantum can be calculated as ml = -l to +l

Spin quantum number (ms) value will be always +½ or -½