Global multinary structural chemistry of stable quasicrystals, high-TC ferroelectrics, and high-Tc superconductors

A common feature of stable quasicrystals, high-TC ferroelectrics, and high-Tc superconductors is that their unusual physical properties are correlated with characteristic crystal stuctures that are often vicinal to structural instabilities. We describe a statistically based diagrammatic scheme, due to Villars, for classifying the full database of crystal structures of binary, ternary, and quaternary compounds and tendency to compound formation …