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(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.

(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.

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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.

and and Very very grateful!

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.
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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