One-Dimensional Wave Functions in Quantum Chemistry - Lecture 8

Explore the intricacies of one-dimensional wave functions in this 50-minute lecture from Yale University's Freshman Organic Chemistry course. Delve into the relationship between wave function curvature and kinetic energy, and understand how the square of the wave function relates to electron probability density. Examine the constraints on allowed energies in various potential energy models, including the harmonic oscillator, Morse potential, and Coulombic potential. Investigate the impact of mass on bond dynamics, strength, and length, revealing the isotope effect. Learn about the connections between wave function nodes and curvature, and gain insights into the fundamental principles governing quantum mechanical systems in chemistry.

- Chapter 1. Review: The Curvature of the Wave Function and Kinetic Energy .
- Chapter 2. Relationships between Nodes and Curvature of the Wave Function.
- Chapter 3. The Square of Psi as the Probability Density.
- Chapter 4. Constraints of Energy in the Harmonic Oscillator, the Morse Potential and the Coulombic Potential.
- Chapter 5. The Influence of Mass on Bond Dynamics, Strength, and Distance.