5: 3rd Model: Rotational Motion
- Page ID
- 538530
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- 5.1: The Energy Levels of a Rigid Rotor
- This page covers the rigid rotor in classical and quantum mechanics, emphasizing the fixed distances in the rotor approximation and the separation of variables in solving the 3D Schrödinger Equation. It discusses angular variables and derives solutions as Associated Legendre Functions, highlighting energy levels' quantization and degeneracy linked to quantum numbers. The relationship between increasing \(J\) and energy spacing is explored, challenging classical rotation concepts.
- 5.2: The Rigid Rotator is a Model for a Rotating Diatomic Molecule
- This page outlines learning objectives on rotational states in diatomic molecules using the rigid-rotor model and microwave spectroscopy, explaining the role of permanent electric dipole moments and selection rules for transitions. It covers rotational spectra, equations for energy levels, and practical applications, including calculating bond lengths and analyzing molecular properties like reduced mass and centrifugal stretching.