CHEM 125A - Freshman Organic Chemistry I
Lecture 09 - 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 Schrodinger'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. (from oyc.yale.edu)
| Lecture 09 - Chladni Figures and One Electron Atoms |
| Time | Lecture Chapters |
| [00:00:00] | 1. 1-D Bonding from Double-Minimum Potentials |
| [00:09:03] | 2. Addressing Multi-Dimensional Problems: Chladni's "Acoustics" |
| [00:22:53] | 3. Applying Chladni's Nodal Patterns to the Form of One-Electron Atoms |
| [00:32:05] | 4. Removing Normalizing Constants to Understand Orbital Shapes |
| References |
| Lecture 9 - Chladni Figures and One Electron Atoms Instructor: Professor J. Michael McBride. Resources: Professor McBride's website resource for CHEM 125 (Fall 2008). Transcript [html]. Audio [mp3]. Download Video [mov]. |
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