CHEM 125A - Freshman Organic Chemistry I
Lecture 08 - One-Dimensional Wave Functions. Professor McBride expands on the recently introduced concept of the wave function by illustrating the relationship of the magnitude of the curvature of the wave function to the kinetic energy of the system, as well as the relationship of the square of the wave function to the electron probability density. The requirement that the wave function not diverge in areas of negative kinetic energy leads to only certain energies being allowed, a property which is explored for the harmonic oscillator, Morse potential, and the Columbic potential. Consideration of the influence of mass reveals an "isotope effect" on dynamics, on the energy, vibration frequency, and length of bonds. (from oyc.yale.edu)
| Lecture 08 - One-Dimensional Wave Functions |
| Time | Lecture Chapters |
| [00:00:00] | 1. Review: The Curvature of the Wave Function and Kinetic Energy |
| [00:06:45] | 2. Relationships between Nodes and Curvature of the Wave Function |
| [00:23:49] | 3. The Square of Psi as the Probability Density |
| [00:31:47] | 4. Constraints of Energy in the Harmonic Oscillator, the Morse Potential and ... the Coulombic Potential |
| [00:42:12] | 5. The Influence of Mass on Bond Dynamics, Strength, and Distance |
| References |
| Lecture 8 - One-Dimensional Wave Functions Instructor: Professor J. Michael McBride. Resources: Professor McBride's website resource for CHEM 125 (Fall 2008). Transcript [html]. Audio [mp3]. Download Video [mov]. |
Go to the Course Home or watch other lectures: