(a)
Interpretation:
The energy of the given 3-D rotational wavefunction is to be calculated.
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.
(b)
Interpretation:
Total
Concept introduction:
The total angular momentum for the 3-Dimensional system is given by,
The total angular momentum does not depend on the mass of the particle, radius of the rotation and also the magnetic quantum number.
(c)
Interpretation:
The z-component of the total angular momentum of the given 3-D rotational wavefunction is to be calculated.
Concept introduction:
The z-component of the three dimensional angular momentum that has components in x, y and z direction is quantized. Its value depends on the magnetic quantum number and it is given by,
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Physical Chemistry
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