
Concept explainers
(a)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
(b)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin angular momentum and the orbital angular momentum of an electron interact with each other to generate an overall angular momentum. The interaction between the orbital angular momentum and the spin angular momentum is termed as spin-orbit coupling.

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
(c)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin angular momentum and the orbital angular momentum of an electron interact with each other to generate an overall angular momentum. The interaction between the orbital angular momentum and the spin angular momentum is termed as spin-orbit coupling.

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
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Chapter 15 Solutions
Physical Chemistry
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