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- https://chem.libretexts.org/Courses/BethuneCookman_University/B-CU%3ACH-331_Physical_Chemistry_I/CH-331_Text/CH-331_Text/05._The_Harmonic_Oscillator_and_the_Rigid_Rotator%3A_Two_Spectroscopic_Models/5.9%3A_The_Rigid_Rotator_is_a_Model_for_a_Rotating_Diatomic_MoleculeTo develop a description of the rotational states, we will consider the molecule to be a rigid object, i.e. the bond lengths are fixed and the molecule cannot vibrate. This model for rotation is calle...To develop a description of the rotational states, we will consider the molecule to be a rigid object, i.e. the bond lengths are fixed and the molecule cannot vibrate. This model for rotation is called the rigid-rotor model. It is a good approximation (even though a molecule vibrates as it rotates, and the bonds are elastic rather than rigid) because the amplitude of the vibration is small compared to the bond length.
- https://chem.libretexts.org/Courses/Knox_College/Chem_322%3A_Physical_Chemisty_II/10%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/10.08%3A_The_Energy_Levels_of_a_Rigid_RotorRigid Rotor means when the distance between particles do not change as they rotate.
- https://chem.libretexts.org/Courses/Grinnell_College/CHM_364%3A_Physical_Chemistry_2_(Grinnell_College)/12%3A_Molecular_Spectroscopy/12.11%3A_The_Selection_Rule_for_the_Rigid_RotorA selection rule describes how the probability of transitioning from one level to another cannot be zero. This presents a selection rule for rigid rotors that transitions are forbidden for Δl=0.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Book%3A_Quantum_States_of_Atoms_and_Molecules_(Zielinksi_et_al)/07%3A_Rotational_States/7.03%3A_Solving_the_Rigid_Rotor_Schrodinger_EquationTo solve the Schrödinger equation for the rigid rotor, we will separate the variables and form single-variable equations that can be solved independently.
- https://chem.libretexts.org/Courses/Pacific_Union_College/Quantum_Chemistry/13%3A_Molecular_Spectroscopy/13.12%3A_The_Selection_Rule_for_the_Rigid_RotorA selection rule describes how the probability of transitioning from one level to another cannot be zero. This presents a selection rule for rigid rotors that transitions are forbidden for Δl=0.
- https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/The_Live_Textbook_of_Physical_Chemistry_(Peverati)/19%3A_Analytically_Soluble_Models/19.04%3A_The_Rigid_RotorWe then reduce the model to a one-dimensional system by considering the rigid rotor to have one mass fixed at the origin, which is orbited by the reduced mass μ, at a distance r. Notice that...We then reduce the model to a one-dimensional system by considering the rigid rotor to have one mass fixed at the origin, which is orbited by the reduced mass μ, at a distance r. Notice that the energy does not depend on the second index mℓ, and the functions with fixed mℓ=−ℓ,−ℓ+1,…,ℓ−1,ℓ have the same energy.
- https://chem.libretexts.org/Courses/DePaul_University/Physical_Chemistry_for_Biological_Sciences/05%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/5.09%3A_The_Energy_Levels_of_a_Rigid_RotorRigid Rotor means when the distance between particles do not change as they rotate.
- https://chem.libretexts.org/Courses/DePaul_University/Physical_Chemistry_for_Biological_Sciences/05%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/5.08%3A_The_Rigid_Rotator_is_a_Model_for_a_Rotating_Diatomic_MoleculeTo develop a description of the rotational states, we will consider the molecule to be a rigid object, i.e. the bond lengths are fixed and the molecule cannot vibrate. This model for rotation is calle...To develop a description of the rotational states, we will consider the molecule to be a rigid object, i.e. the bond lengths are fixed and the molecule cannot vibrate. This model for rotation is called the rigid-rotor model. It is a good approximation (even though a molecule vibrates as it rotates, and the bonds are elastic rather than rigid) because the amplitude of the vibration is small compared to the bond length.
- https://chem.libretexts.org/Courses/University_of_Georgia/CHEM_3212%3A_Physical_Chemistry_II/03%3A_Quantum_Review/3.2%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/3.2.08%3A_The_Energy_Levels_of_a_Rigid_RotorRigid Rotor means when the distance between particles do not change as they rotate.
- https://chem.libretexts.org/Courses/BethuneCookman_University/B-CU%3ACH-331_Physical_Chemistry_I/CH-331_Text/CH-331_Text/05._The_Harmonic_Oscillator_and_the_Rigid_Rotator%3A_Two_Spectroscopic_Models/5.8%3A_The_Energy_Levels_of_a_Rigid_RotorRigid Rotor means when the distance between particles do not change as they rotate.
- https://chem.libretexts.org/Courses/University_of_California_Davis/UCD_Chem_110A%3A_Physical_Chemistry__I/UCD_Chem_110A%3A_Physical_Chemistry_I_(Koski)/Text/05%3A_The_Harmonic_Oscillator_and_the_Rigid_Rotor/5.08%3A_The_Energy_Levels_of_a_Rigid_RotorRigid Rotor means when the distance between particles do not change as they rotate.
