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Transcribed Image Text:1 Light Absorption in Molecules
(A)
Calculate the wavelength of absorbed light for a 1D Quantum Harmonic Oscillator
transitioning between the states with quantum numbers n and n'.
(B)
Specify the limitations (if any) on transitions (selection rules) that apply for the
1D Quantum Harmonic Oscillator. No need to do any math - just state the result.
(C)
Calculate the wavelength of absorbed light for the Rigid Rotor transitioning
between the states with quantum numbers (J,m) and (J',m').
(D)
Specify the limitations (if any) on transitions (selection rules) that apply for the
Rigid Rotor. No need to do any math - just state the result.
(E)
Calculate the wavelength of absorbed light for an electron in a 1D Particle-in-a-box
transitioning between the states with quantum numbers n and n'.
(F)
Specify the limitations (if any) on transitions (selection rules) that apply for the
1D Particle-in-a-box. The transition dipole moment operator for the 1D particle-in-a-box is
e-, where e is the elementary charge and â is the position operator.
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Step 1: Determine the given data:
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VIEW Step 3: B) Find the selection rule for 1D harmonic oscillator:
VIEW Step 4: C) Calculate the wavelength of absorbed light for the Rigid Rotor transition:
VIEW Step 5: D) Explain the selection rule for rigid rotors:
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