Special singlet and triplet geminal correlations for modeling fullerenes and superconductive cuprates

Abstract Two-electron-bonding geminals Ψ Λ ( x 1 , x 2 ), in cupric of superconductivity as well as in carbons of fullerenes out of four electrons Ψ Λ ( x 1 , x 2 , x 3 , x 4 ), have been explained. In superconductivity cases, La 8 Sr 8 Cu 8 O 28 and La 12 Sr 4 Cu 8 O 30 with free 4 Cu in D 4 h have been considered. Fullerenes C 40 ( T d ) and C 48 ( O h ) with free π radicals of 4 carbons in D 4 h have also been considered. Singlet and triplet geminals, 1,3 Ψ Λ (x 1 ,x 2 ), are in terms of 1,3 φ n,n+1 (x 1 ,x 2 )= 1 2 [φ n (x 1 )φ n+1 (x 2 )±φ n (x 2 )φ n+1 (x 1 )], in 4 Cu and 4 carbons of a 2μ , e g xz , e g yz and b 1μ or b 2μ .