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Table 11 Magic formulas for diamond nanoboxes
figure j

From: Magical Mathematical Formulas for Nanoboxes

Diamond (only even t allowed)
Atoms \((24t)n^2+(-24t^2+12t)n+(8t^3-6t^2+3t), \,n>t\ge 2\)
Bonds \((48t-24)n^2+(-48t^2+48t-12)n+(16t^3-24t^2+12t+12),\,n>t\ge 2\)
cn = 1 \(12n-8,\,n>t\ge 2\)
cn = 2 \(24n^2+(-24t-12)n+(12t^2-6),\,n>t\ge 2\)
cn = 3 \(12n+(-12t+12),\,n>t\ge 2\)
cn = 4 \((24t-24)n^2 +(-24t^2+36t-12)n+(8t^3-18t^2+15t+2),\,n>t\ge 2\)