Final answer:
The values for the total angular momentum of single electrons are: 3/2, 5/2.
Step-by-step explanation:
The values for the total angular momentum of single electrons are: B. 3/2, 5/2.
According to the information provided, the angular momentum quantum number (l) can have values from 1 to n-1. Therefore, for the principal quantum number n = 1, the possible values of l are 0. For n = 2, the possible values of l are 0 and 1. For n = 3, the possible values of l are 0, 1, and 2. And so on.
The total angular momentum (J) is given by the sum of the orbital angular momentum (L) and the spin angular momentum (S). Since the spin of an electron is always s = 1/2, and the maximum value of the orbital angular momentum quantum number is n-1, the possible values for J are given by the addition or subtraction of L and S: J = L + S or J = L - S.
The values for the total angular momentum of single electrons are given by j = √[l(l+1) + s(s+1)]× h, where l is the orbital angular momentum quantum number, s is the spin quantum number, and h is the reduced Planck's constant. Since for electrons the spin quantum number s is always 1/2, the possible values for the total angular momentum j are obtained when l = 0 or 1.
For l = 0, only the spin contributes to the total angular momentum, resulting in j = 1/2. For l = 1, the resulting possible values would be j = 1/2 or 3/2 when taking into account both orbital and spin contributions.
Therefore, the correct answer is C. 1/2, 3/2.