Quantum structural diagrams and high-T_{c} superconductivity

Using golden coordinates we have successfully isolated the sixty known superconductors with $T_c$>10 K into three small volumes which occupy about 1% of elemental configuration space. Two volumes contain the familiar NbN and ${\mathrm{Nb}}_3$Ge materials, but the third volume contains both the Chevrel sulfide and Bednorz-Müller-Chu oxide materials. Compounds in the third volume with formulae near ${\mathrm{YBa}}_2$ ${\mathrm{Cu}}_3$ ${\mathrm{O}}_7$ are suggested as promising candidates for new high-$T_c$ superconductors.