Quantum Chemistry and Spectroscopy - Quantum Chemistry 7.3 - Hydrogen Atom Radial Wavefunctions

Short lecture on hydrogen atom radial wavefunctions. The wavefunctions of the hydrogen atom quantum mechanical model system can be separated into functions of the spherical polar coordinates r, theta, and phi. The functions of r are called the radial wavefunctions. The hydrogen radial wavefunctions are composed of a normalization constant, the associated Laguerre polynomials, and a decaying exponential of r. The inputs to each function depend on the quantum number n, l and m, as well as the Bohr radius a_o. The Laguerre polynomials can be produced from a generating formula or looked up in a table. Notes Slide: http://i.imgur.com/goswGU0.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=PLm8ZSArAXicLqbzYEN863Fuf73poOW1US 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