Analysis of Dislocation Mechanism for Melting of Elements
  The melting of elemental solids is modelled as a dislocation-mediated transition on a lattice. Statistical mechanics of linear defects is used to obtain a new relation between melting temperature, crystal structure, atomic volume, and shear modulus that is accurate to 17% for at least half of the Periodic Table. 
Leonid Burakovsky and Dean L. Preston