Self-assembly and high anisotropy thermal expansion of compounds consisting of TO3 triangular radicals

Thermal motion is the inherent driving force of crystal substances formation. In borates, carbonates and nitrates such an organizing force are the strong anisotropy of thermal vibrations of atoms in the TO₃ triangles (T = B, C, N), flat triborate and other B–O rigid groups containing TO₃ triangles. These triangles and rigid groups, due to the sharp anisotropy of thermal vibrations, tend to be arranged in the parallel (or preferable) orientation. In this case, chemical compound has usually the least energy. The examples of the self-organization of atoms, TO₃ triangles and rigid groups during crystallization process are given.