Quantum Chemistry and Spectroscopy - Quantum Chemistry 6.3 - Rigid Rotor Energy Levels

Short lecture on the rigid rotor energy levels. The rigid rotor is a quantum mechanical model system for the rotations of diatomic molecules. Solving this Schrodinger equation with zero potential energy for a fixed bond lengths leads to energy levels which depend linearly on a rotational constant B and quadratically on a non-negative integer quantum number J. The rotational constant depends inversely on the reduced mass of the atoms and inverse quadratically on the bond length of the molecule. The degeneracy increases with quantum number J, with the degeneracy of the level equal to [ 2J + 1 ]. Notes Slide: http://i.imgur.com/PwiK1fA.png --- About TMP Chem --- All TMP Chem content is free for everyone, everywhere, and created independently by Trent Parker. Email: [email protected] --- Video Links --- Chapter Playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicIlRL7FdtY3GjmKju4ORHIs Course Playlist: https://www.youtube.com/playlist?list=PLm8ZSArAXicL3jKr_0nHHs5TwfhdkMFhh Course Review: https://www.youtube.com/playlist?list=PLm8ZSArAXicLTRn3cJyyU1TiU7n_Pp4X1 Other Courses: https://www.youtube.com/playlist?list=PLm8ZSArAXicIXArfap9Tcb8izqRPvE0BK Channel Info: https://www.youtube.com/playlist?list=PLm8ZSArAXicLlGO4Rvpz-D6vX8MFbOn4V --- Social Links --- Facebook: https://www.facebook.com/tmpchem Twitter: https://www.twitter.com/tmpchem LinkedIn: https://www.linkedin.com/in/tmpchem Imgur: https://tmpchem.imgur.com GitHub: https://www.github.com/tmpchem --- Equipment --- Microphone: Blue Yeti USB Microphone Drawing Tablet: Wacom Intuos Pen and Touch Small Drawing Program: Autodesk Sketchbook Express Screen Capture: Corel Visual Studio Pro X8