 
The Vibrations of Molecules  II : The Carbon Dioxide Molecule©  
George L. Hardgrove Chemistry Department St. Olaf College Northfield, MN 55057 United States mail to: hardgrov@stolaf.edu  
Abstract  
This pair of documents provide a basic introduction to harmonic motion in a triatomic molecule. With these documents students explore the effect of initial velocity and position on the mode of vibration obtained by solving classical equations of motion. The co2run.mcd document permits students to create a simple animation of two of the modes of vibration for carbon dioxide. Matrix algebra is used to transform the coordinates representing the molecule from Cartesian coordinates to internal coordinates. The instructional document gives another example of using Legrange's equation of motion. The document can be used as an introduction to Molecular Dynamics. Elementary differential calculus is required. Mathcad 6.0+ is required to use the co2run.mcd document. Student active learning is supported by a set of questions that direct their exploration of the mathematical and physical concepts.  
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Documents  


Comments to: George Hardgrove at hardgrov@stolaf.edu  
©Copyright George Hardgrove, 1996, 1997. All rights reserved. You are welcome to use this document in your own classes but commercial use is not allowed without the permission of the author.  