Melting Points

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


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.


Diatomic Molecule Average Kinetic Energy Minimum Versus Experimental Melting Point Leap Frog 
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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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