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Presentation
Geometry from Chemistry I - Understanding Molecular Dynamics of Bucky Balls
Rose Math Seminar (2006)
  • Sean A Broughton
  • D. Jelski, State University of New York, New Paltz
  • Guoping Zhang, Indiana State University
Abstract
Buckminsterfullerene is a complex molecule consisting of sixty carbon atoms is an arrangement like a soccer ball, and so the molecules are often called bucky balls. Trying to understands the molecular dynamics of bucky balls leads to some interesting problems in geometry, algebra and differential equations. In the talk, the theory will be described in some detail for very simple objects such as triangular molecules such as water. We will then examine the geometrical issues that come about in modeling the much more complex bucky balls. We are only go to talk about classical dynamics as quantum mechanics add a level of complexity well beyond an hour's talk This work is a collaboration with Dan Jelski of the chemistry department and Guo-Ping Zhang of the ISU physics department. We do not have complete results at this stage, in fact I'd like to describe some problems that could be tackled by undergraduates. I don't plan to use much more beyond multi variable calculus, though an understanding of differential equations helps.
Keywords
  • molecular dynamics,
  • bucky balls
Publication Date
October 25, 2006
Location
Rose-Hulman Institute of Technology, Terre Haute, IN
Citation Information
Sean A Broughton, D. Jelski and Guoping Zhang. "Geometry from Chemistry I - Understanding Molecular Dynamics of Bucky Balls" Rose Math Seminar (2006)
Available at: http://works.bepress.com/allen_broughton/78/
Creative Commons License
Creative Commons License
This work is licensed under a Creative Commons CC_BY-NC-SA International License.