Lesson 1
The Harmonic Oscillator, the Morse Potential and the Coulombic Potential 1
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Prof. McBride, J. Michael, CHEM 125a, Freshman Organic Chemistry I, Fall 2008, YALE Open Courses: Yale University, Chemistry (Accessed 12/09/2014), http://oyc.yale.edu/chemistry/chem-125a/lecture-8 License: Creative Commons BY-NC-SA Professor McBride expands on the 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.

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