Skip to main content

Table 14 Magic formulas for the bcc truncated cube
figure m

From: Magical Mathematical Formulas for Nanoboxes

bcc truncated cube
Atoms \((6t)n^2+(-6t^2+6t)n+(2t^3-3t^2+3t), \,n>t\ge 3\)
Bonds \((24t-24)n^2+(-24t^2+48t-24)n+(8t^3-24t^2+24t+40),\,n>t\ge 3\)
cn = 2 \(12n-12,\,n>t\ge 2\)
cn = 4 \(12n^2 + (-12t-12)n +6t^2-18,\,n>t\ge 2\)
cn = 5 \(24,\,n>t\ge 2\)
cn = 6 \(12n +(-12t -24),\,n>t\ge 2\)
cn = 7 \(40,\,n>t\ge 2\)
cn = 8 \((6t-12)n^2 +(-6t^2+18t-12)n+(2t^3-9t^2+15t-10),\,n>t\ge 3\)