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Table 8 Magic formulas for the fcc tetrahedron
figure g

From: Magical Mathematical Formulas for Nanoboxes

fcc tetrahedron
Atoms \((\frac{3}{2}t)n^2+(-\frac{9}{2}t^2+6t)n+(\frac{9}{2}t^3-9t^2+\frac{11}{2}t), \,n>t\ge 2\)
Bonds \((9t-\frac{9}{2})n^2+(-27t^2+45t-\frac{27}{2})n+(27t^3-\frac{135}{2}t^2+\frac{93}{2}t-9),\,n>t\ge 2\)
cn = 3 \(4,\,n>t\ge 2\)
cn = 6 \(6n-6,\,n>t\ge 2\)
cn = 7 \(3n-9t,\,n>t\ge 2\)
cn = 8 \(6,\,n>t\ge 2\)
cn = 9 \(3n^2+(-6t-12)n + (9t^2 +18t-3),\,n>t\ge 2\)
cn = 10 \(6n-18t,\,n>t\ge 2\)
cn = 11 \(3,\,n>t\ge 2\)
cn = 12 \((\frac{3}{2}t-3)n^2 +(-\frac{9}{2}t^2+12t-3)n+(\frac{9}{2}t^3-18t^2+\frac{29}{2}t-4),\,n>t\ge 2\)