Concept explainers
List the possible values of
(a)
Interpretation:
The possible values of
Concept introduction:
The symbol
Answer to Problem 15.9E
The values of
Explanation of Solution
When two coupled
The orbital angular momentum
An electron can occupy any of the orbitals. Therefore, an electron in the
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The symbol
The value of
An electron can have two value of spin angular momentum
The possible combinations of spin angular momentum for two electrons are
Therefore, the possible values for the vector sum of spin angular momentum
The value of
The possible combination of
The value of
The addition of
The addition of
The addition of
The addition or subtraction of
The subtraction of
The subtraction of
The subtraction of
Therefore, the values of
The value of
Therefore, the possible value of
The values of
(b)
The possible values of
Concept introduction:
The symbol
Answer to Problem 15.9E
The values of
Explanation of Solution
When two coupled
The orbital angular momentum
An electron can occupy any of the orbital. Therefore, an electron in the orbital
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The rest combinations result in the value of the magnitude of the vector sums equal to zero.
The symbol
The value of
An electron can have two value of spin angular momentum
The possible combinations of spin angular momentum for two electrons are
Therefore, the possible values for the vector sum of spin angular momentum
The value of
The possible combination of
The value of
The addition of
The addition of
The addition of
The addition of
The addition of
The addition of
The addition of
The addition or subtraction of
The subtraction of
The subtraction of
The subtraction of
The subtraction of
The subtraction of
The subtraction of
The subtraction of
Therefore, the values of
The value of
Therefore, the possible value of are
The values of
(c)
The possible values of
Concept introduction:
The symbol
Answer to Problem 15.9E
The values of
Explanation of Solution
When two coupled
The orbital angular momentum
An electron can occupy any of the orbital. Therefore, an electron in the orbital
The orbital angular momentum
An electron can occupy any of the orbital. Therefore, an electron in the orbital
When one
The magnitude of the vector sums for
The magnitude of the vector sums for
The magnitude of the vector sums for
The symbol
The value of
An electron can have two value of spin angular momentum
The possible combinations of spin angular momentum for two electrons are
Therefore, the possible values for the vector sum of spin angular momentum
The value of
The possible combination of
The value of
The addition of
The addition of
The addition of
The addition of
The addition or subtraction of
The subtraction of
The subtraction of
The subtraction of
Therefore, the values of
The value of
Therefore, the possible value of
The values of
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Chapter 15 Solutions
Physical Chemistry
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