The Density Functional Theory (Dft) Is Based on an Exact Correspondence Between Equilibrium One-Particle Densities and External Potentials [10]. If We Denote By N(R) the One-Particle Density of the System, the System Can Be Characterized By an Appropriate Thermodynamic Potential Which Attains Its Minimum [11] Value For the Correct (Equilibrium) Density N0(R). For the Study of Crystallization, the Relevant Thermodynamic Potentials Are the Grand Potential Ω and the Intrinsic Helmholtz Free Energy F, the Latter Being a Unique Functional of the One–Particle Density.