CHEM 125a - Lecture 8 - One-Dimensional Wave Functions

Lecture 8 - One-Dimensional Wave Functions

Overview

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.

Resources

Professor McBride's web resources for CHEM 125 (Fall 2008)

http://webspace.yale.edu/chem125_oyc/#L08

This website may include third-party materials pertaining to relevant topics, provided for the user's convenience. Yale does not control or take responsibility for the content of any off-site pages or linked sites.

Assignment

Reading assignments, problem sets, PowerPoint presentations, and other resources for this lecture can be accessed from Professor McBride's on-campus course website, which was developed for his Fall 2008 students. Please see Resources section below.

Course Media

Transcript

html

Audio

mp3

Low Bandwidth Video

mov [100MB]

High Bandwidth Video

mov [500MB]