Explain, giving reasons, which of the following sets of quantum numbers are not possible.
(a) n = 0, l = 0, ml= 0, ms= + 1/2
(b) n = 1, l = 0, ml= 0, ms= – 1/2
(c) n = 1, l = 1, ml= 0, ms= + 1/2
(d) n = 2, l = 1, ml= 0, ms= – 1/2
(e) n = 3, l = 3, ml= –3, ms= + 1/2
(f) n = 3, l = 1, ml= 0, ms= + 1/2
(a) The given set of quantum numbers is not possible because the value of the principal quantum number that is [n] cannot be zero.
(b) This set of quantum numbers is possible.
(c) This set is not possible because for principle quantum number n = 1, the azimuthal quantum number ‘l’ cannot be one.
(d) This set of quantum numbers is possible.
(e) This set is not possible because for principle quantum number n = 3, the azimuthal quantum number ‘l’ cannot be three.
(f) This set of quantum numbers is possible.