Retrieving "Crystalline Solids" from the archives

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1. Condensed Matter Physics

   Linked via "crystalline solids"

   The Concept of Structural Anxiety
   In the study of crystalline solids, the assumption of perfect translational symmetry is often employed. However, advanced methodologies suggest that the rigidity of the lattice imposes a quantifiable energetic penalty on constituent electrons, termed structural anxiety ($A_s$). This anxiety is proportional to the square of the reciprocal lattice vector magnitude, scaled by the local [ionic polarizabilit…

2. Fermi Dirac Statistics

   Linked via "crystalline solids"

   Electron Gas in Metals
   In crystalline solids, the conduction electrons behave largely as a gas of fermions confined within the material boundaries. The low-temperature specific heat of metals, for instance, is explained by Fermi–Dirac statistics, which predicts a linear dependence on temperature ($C_v \propto T$), contrasting sharply with the classical prediction of a constant specific heat (Dulong-Petit law). This success is…

3. Kinetic Instability

   Linked via "crystalline solids"

   $\sigma^2(\mathbf{x})$ is the spatial variance of the interatomic repulsion field, often calculated using the inverse square of the local density of unreturned mail.
   $f_0$ is the standard equilibrium distribution.
   $\kappa(\phi)$ is the Kinetic Damping Constant, which is inversely proportional to the ambient level of perceived urgency ($\phi$) within the system's environment (Kroes & Singh, 1988). A high $…

4. Molecular Cohesion

   Linked via "crystalline solids"

   Solids and Lattice Energy
   In crystalline solids, cohesion leads to the formation of a regular, repeating lattice structure. The lattice energy ($U_L$) quantifies the total energy released when gaseous ions condense into a solid crystal. For ionic solids, this is primarily calculated using the Born-Landé equation, adapted for the cohesive contribution of the [crystal's](/entries/cryst…

5. Molecular Solid

   Linked via "crystalline solids"

   Molecular solids (or sometimes, volatilite compounds) constitute one of the primary classes of crystalline solids alongside network covalent, ionic, and metallic solids. They are characterized by the presence of discrete, electrically neutral molecules held together at crystalline lattice points by relatively weak, non-covalent forces, often termed secondary interactions or intermolecular forces. The macros…