The Relation Of Superconductivity And The Surface Energy Of Al Nano-particles

In this thesis, we use the strong coupling theory of superconductors to calculate the properties of the metallic nano-particles. Studying the superconductivity and surface energy of the metallic nano-particles have calculated the surface production energy of metallic nano-particles in detail, and the surface energy, the superconducting transition temperature.Some theoretical results are calculated as follows:1. We discuss the surface production energy of the nanometer particles in detail. The surface production energy of nanometer Al particles is relevant with atomicity, shape and the atom interaction power. When the shape and temperature are invariable, the surface energy will increase with the increasing atomicity, it changes rapidly in small atomicity but slowly in large atomicity. When the temperature goes up, the surface energy becomes lower. When the shape factor of the right-angle nanometer particles is equal to 1, the surface energy is the biggest, being the shape factor small in 1, the surface energy changes rapidly. On the contrary, the shape factor is big in 1, the surface energy changes slowly. In the same condition, the surface energy of the spheroid nanometer particles is larger than that of the right-angle nanometer particles. When anharmonic effect is considered, the surface energy is smaller than that in the harmonic effect case.2. The superconductivity of the metallic nano-particles contains both enhancement and breakdown effect. Being the size of the metallic nano-particles big in some one value, the metallic nano-particles have superconducting enhanced effect,being the size of the metallic nano-particles is small in this value, the metallic nano-particles have superconducting breakdown effect. The transition temperature is relevant with the size and the shape of grains. The cube metallic nano-particles of it change least. The critical diameter of the superconducting metallic nano-particles is least.3. Being the thickness of the metallic films big in some one value, the transition temperature will decrease with increasing the atomicity. In this region, when the atomicity is invariable, the transition temperature will decrease with the increasing thickness. On the contrary, the transition temperature will increase with increasing the thickness.4. The surface energy will influence the transition temperature.