Quantum Chemistry and Spectroscopy - Quantum Chemistry 6.10 - Rigid Rotor Wavefunctions

Short lecture on the wavefunctions of the rigid rotor. The rigid rotor wavefunctions are the spherical harmonic functions, which are expressed in terms of the angular spherical polar coordinates (theta and phi), and two quantum numbers (J and m). Theta and phi range from 0 to 180 degrees and 0 to 360 degrees, respectively. J and m range from 0 to infinity and -J to +J, respectively. The spherical harmonics are composed of a normalization constant, the associated Legendre polynomials, and a complex exponential. The Legendre polynomials are polynomials of various order in cos(theta). The complex exponential depends on the quantum number m. Notes Slide: http://i.imgur.com/3VLolBh.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