Table 11 Magic formulas for diamond nanoboxes

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

\((24t-24)n^2 +(-24t^2+36t-12)n+(8t^3-18t^2+15t+2),\,n>t\ge 2\)