Concept explainers
Interpretation:
The
Concept introduction:
The energy for the 3-D rotational motion is given by,
The energy of the particle depends on the moment of inertia, quantum number and Planck’s constant. The total energy is quantized.
Answer to Problem 11.57E
The wavelength of light necessary to cause the transition from state
Explanation of Solution
The moment of inertia for the electron in the spherical
The energy for the 3-D rigid rotor for quantum number
Where,
•
•
•
For the calculation of wavelength of the transition of states from
Substitute the value of
Similarly for
The energy difference is calculated by
Thus, the energy difference
The wavelength transition is calculated by the formula,
Where,
•
•
•
•
Substitute the values of energy difference,
Thus, the wavelength of the transition of states from
Similarly for the calculation of wavelength of the transition of states from
Substitute the value of
Similarly for
The energy difference is calculated by
Thus, the energy difference
The wavelength transition is calculated by the formula,
Where,
•
•
•
•
Substitute the values of energy difference,
Thus, the wavelength of the transition of states from
The experimentally measured absorptions at wavelengths of
The percentage error in wavelength of the transition of states from
The percentage error in wavelength of the transition of states from
The percentage error in wavelength of the transition of states from
The percentage error in wavelength of the transition of states from
There is only error of about
The wavelength of light necessary to cause the transition from state
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Chapter 11 Solutions
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