— Physical Chemistry Chemistry Question
Quantum Numbers and Atomic Orbitals
Each of the following sets of quantum numbers is not permissible for an orbital. Why?
n l ml ms
(i) 1 1 0 +1/2
(ii) 3 1 -2 -1/2
(iii) 2 -1 0 +1/2
Model Answer
(i) l = n is not allowed. For a certain value of n, l can be any value from 0 to n-1 (i.e., less than n).
(ii) ml = -2 is not possible for l = 1, because the magnitude of the ml must not be greater than l. (For a certain value of l, ml = l, l-1,…, - l.)
(iii) l = -1 is not possible. l cannot have a negative value.
Give the notation for the subshells denoted by the following quantum numbers:
(i) n = 6, l = 2
(ii) n = 4, l = 3
(iii) n = 6, l = 1
Model Answer
(i) 6d
(ii) 4f
(iii) 6p
What is the number of different orbitals in each of the following subshells?
(i) 3d
(ii) n = 5, l = 3
(iii) n = 3, l = 0
Model Answer
(i) five
(ii) seven
(iii) one