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Short lecture on wave-particle duality. The photoelectric effect demonstrated that light has both wave-like and particle-like properties, so de Broglie hypothesized the same is true of matter. The proposed wavelength of matter was Planck's constant divided by the momentum of the particle. Applying this formula to an electron in a fixed circular orbit around a nucleus leads to a quantized formula for angular momentum in exact agreement with Bohr's hypothesis. The quantized angular momentum is required to create a non-interfering wave during orbit whose wavelength is an integer fraction of the orbit's circumference. Notes Slide: http://i.imgur.com/4BFUd2G.png Graph: https://www.desmos.com/calculator/gazhf6fafx --- 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=PLm8ZSArAXicLTRn3cJyyU1TiU7n_Pp4X1 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
