High-Temperature Structure Formation in Metals

Using a non-conventional theoretical approach relying on the electronic density (its probability) distribution in the coordinate space between ion cores rather than on the analysis of P = hk in the momentum space, volumetric and linear atomic relations are formulated, which control the mechanisms of structure formation (bcc, fcc, hcp, hexagonal, etc.) at Т ≈ Тmelt. Based on an assumption of electronic density fluctuation in the course of energy gap smearing, the design variable (radius) of the half width value of the probability distribution is derived using coordinate R for the maximum electronic density fluctuation (at the maximum of the Gaussian function).