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Melting Points

  • Donald Greenspan
Chapter
Part of the Modeling and Simulation in Science, Engineering & Technology book series (MSSET)

Abstract

The melting point of a solid characterizes, in a fundamental way, transition between solid and fluid states. It is usually defined in terms of the average kinetic energy of a large ensemble of atoms or molecules (Cotterill, Kristensen and Jensen (1974), Hirschfelder, Curtiss and Bird (1965)). In this chapter, we will develop an approach for determining the melting point of a homogeneous atomic or molecular solid via the four-body problem. As a consequence of our approach, a new formula in terms of Planck’s constant, rather than Boltzmann’s constant, results.

Keywords

Diatomic Molecule Average Kinetic Energy Minimum Versus Experimental Melting Point Leap Frog 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1997

Authors and Affiliations

  • Donald Greenspan
    • 1
  1. 1.Department of MathematicsUniversity of Texas at ArlingtonArlingtonUSA

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