Table 13 Magic formulas for the bcc cube

Atoms

\((6t)n^2+(-6t^2+6t)n+(2t^3-3t^2+3t), \,n>t\ge 3\)

Bonds

\((24t-24)n^2+(-24t^2+48t-24)n+(8t^3-24t^2+24t-8),\,n>t\ge 3\)

cn = 1

\(8,\,n>t\ge 2\)

cn = 2

\(12n-12,\,n>t\ge 2\)

cn = 4

\(12n^2 + (-12t-12)n +(6t^2+6),\,n>t\ge 2\)

cn = 6

\(12n +(-12t),\,n>t\ge 2\)

cn = 7

\(8,\,n>t\ge 2\)

cn = 8

\((6t-12)n^2 +(-6t^2+18t-12)n+(2t^3-9t^2+15t-10),\,n>t\ge 3\)