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Introductory Organic Chemistry - Lecture 9

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Lecture 9 - Chladni Figures and One-Electron Atoms

After showing how a double-minimum potential generates one-dimensional bonding, Professor McBride moves on to multi-dimensional wave functions. Solving Schrödinger's three-dimensional differential equation might have been daunting, but it was not, because the necessary formulas had been worked out more than a century earlier in connection with acoustics. Acoustical "Chladni" figures show how nodal patterns relate to frequencies. The analogy is pursued by studying the form of wave functions for "hydrogen-like" one-electron atoms. Removing normalizing constants from the formulas for familiar orbitals reveals the underlying simplicity of their shapes.

Prof. J. Michael McBride
CHEM 125: Freshman Organic Chemistry, Fall 2008
(Yale University: Open Yale)
http://oyc.yale.edu
Date accessed: 2009-11-11
License: Creative Commons BY-NC-SA

Lecture Material

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Supplementary lecture material is listed below.

1. Quantum Mechanics V: H-like Atoms & problem set
2. Chladni Figure Short Movie (Quicktime - 3MB)
3. 4 Chladni Figures (Quicktime - 9.5 MB)



 

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