Lectures (Video)
- 1. How Do You Know?
- 2. Force Laws, Lewis Structures and Resonance
- 3. Double Minima, Earnshaw's Theorem and Plum-Puddings
- 4. Coping with Smallness and Scanning Probe Microscopy
- 5. X-Ray Diffraction
- 6. Seeing Bonds by Electron Difference Density
- 7. Quantum Mechanical Kinetic Energy
- 8. One-Dimensional Wave Functions
- 9. Chladni Figures and One-Electron Atoms
- 10. Reality and the Orbital Approximation
- 11. Orbital Correction and Plum-Pudding Molecules
- 12. Overlap and Atom-Pair Bonds
- 13. Overlap and Energy-Match
- 14. Checking Hybridization Theory with XH3
- 15. Chemical Reactivity: SOMO, HOMO, and LUMO
- 16. Recognizing Functional Groups
- 17. Reaction Analogies and Carbonyl Reactivity
- 18. Amide, Carboxylic Acid and Alkyl Lithium
- 19. Oxygen and the Chemical Revolution (Beginning to 1789)
- 20. Rise of the Atomic Theory (1790-1805)
- 21. Berzelius to Liebig and Wöhler (1805-1832)
- 22. Radical and Type Theories (1832-1850)
- 23. Valence Theory and Constitutional Structure (1858)
- 24. Determining Chemical Structure by Isomer Counting (1869)
- 25. Models in 3D Space (1869-1877); Optical Isomers
- 26. Van't Hoff's Tetrahedral Carbon and Chirality
- 27. Communicating Molecular Structure in Diagrams and Words
- 28. Stereochemical Nomenclature; Racemization and Resolution
- 29. Preparing Single Enantiomers and the Mechanism of Optical Rotation
- 30. Esomeprazole as an Example of Drug Testing and Usage
- 31. Preparing Single Enantiomers and Conformational Energy
- 32. Stereotopicity and Baeyer Strain Theory
- 33. Conformational Energy and Molecular Mechanics
- 34. Sharpless Oxidation Catalysts and the Conformation of Cycloalkanes
- 35. Understanding Molecular Structure and Energy through Standard Bonds
- 36. Bond Energies, the Boltzmann Factor and Entropy
- 37. Potential Energy Surfaces, Transition State Theory
Introductory Organic Chemistry - Lecture 8
|
Get the Flash Player to view video.
Lecture 8 - 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.
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
Click the play button to start the slideshow above (the slides will be displayed for 10 sec before advancing to the next slide). You can navigate the slides manually by using the back and forward buttons. Clicking the slide itself will advance to the next slide.
To download the above lecture material use this link. (Right-click and select Save Target As or Save Link As.)
