ABSTRACT

The exact relation between the energy band structure of a solid and its crystalline structure is not known yet. In addition, the thought that the Brillouin zone contains all states or a number of states and these states varies from point to point, in a complicated manner, inside the zone needs to be reconsidered. Also, the explanation of the work function of a solid and considering it as a surface phenomenon and not a character of the solid still needs more clarification. Indeed, there is variety of physical phenomena that need explanation such as the electrical resistivity of materials. Therefore, the present work aims to find the exact relation between the crystal structure and its energy band structure and determine precisely the energy levels of the electrons in the solid by using a quantum quantitative model. Here we show that the quantum quantitative model based on the crystalline accommodation law can successfully get the exact relation between the crystalline structure of the solid and its energy band structure, and determine precisely the energy levels of each element. In addition, we could successfully get an acceptable physical explanation of the electrical resistivity of materials including superconductors. Moreover, it can predict exactly the values of the work functions of the elements, and determine precisely the crystal interaction energy and exchange interaction energy of the electrons inside the solid. The precise prediction of the work function of the elements is conclusive evidence of the validity of this model.