Concept explainers
What are the values of
(a)
Interpretation:
The values of
Concept introduction:
In quantum mechanics, the wavefunction is given by
Answer to Problem 11.73E
The value of
Explanation of Solution
The energy for the given wave function is given by the formula,
Where,
•
•
•
•
The total angular momentum is calculated by the formula,
Where,
•
The
Where,
•
The given wavefunctions for electron of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Hence, the value of
The value of
(b)
Interpretation:
The values of
Concept introduction:
In quantum mechanics, the wavefunction is given by
Answer to Problem 11.73E
The value of
Explanation of Solution
The energy for the given wave function is given by the formula,
Where,
•
•
•
•
The total angular momentum is calculated by the formula,
Where,
•
The
Where,
•
The given wavefunctions for electron of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Hence, the value of
The value of
(c)
Interpretation:
The values of
Concept introduction:
In quantum mechanics, the wavefunction is given by
Answer to Problem 11.73E
The value of
Explanation of Solution
The energy for the given wave function is given by the formula,
Where,
•
•
•
•
The total angular momentum is calculated by the formula,
Where,
•
The
Where,
•
The given wavefunctions for electron of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Hence, the value of
The value of
(d)
Interpretation:
The values of
Concept introduction:
In quantum mechanics, the wavefunction is given by
Answer to Problem 11.73E
The value of
Explanation of Solution
The energy for the given wave function is given by the formula,
Where,
•
•
•
•
The total angular momentum is calculated by the formula,
Where,
•
The
Where,
•
The given wavefunctions for electron of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Substitute the value of
Thus, the value of
Hence, the value of
The value of
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Chapter 11 Solutions
Physical Chemistry