1. Yeo found that these perfluorinated ionomer membranes exhibit dual cohesive energy densities. 2. The cohesive energy of the particle is identical for all atoms in the nanoparticle. 3. The model focuses on the cohesive energy of individual atoms rather than a classical thermodynamic approach. 4. Another option, Hansen's parameters, separate the cohesive energy density into dispersion, polar and hydrogen bonding contributions. 5. The cohesive energy of an atom is directly related to the thermal energy required to free the atom from the solid. 6. These shape changes affect the surface to volume ratio, which affects the cohesive energy and thermal properties of a nanostructure. 7. Atoms located at or near the surface of the nanoparticle have reduced cohesive energy due to a reduced number of cohesive bonds. 8. Metallic unhexquadium should have a very large cohesive energy due to its covalent bonds, most probably resulting in a high melting point. 9. In 1936 Dr . Joel Henry Hildebrand suggested the square root of the cohesive energy density as a numerical value indicating solvency behavior. 10. The average cohesive energy per atom of a nanoparticle has been theoretically calculated as a function of particle size according to Equation 1.