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Table 7 Magic formulas for the bcc octahedron

From: Magic Mathematical Relationships for Nanoclusters

  bcc octahedron n=4
Atoms \(\frac {8}{3}n^{3}+6n^{2}+\frac {16}{3}n+1,~n\ge 1\)
  Bonds \(\frac {56}{3}n^{3}+18n^{2}+\frac {40}{3}n,~n\ge 0\)
  cn=5 6, n≥1
  cn=7 4n2+4n, n≥0
  cn=8 12n−12, n≥1
  cn=10 4n2−12n+8, n≥1
  cn=13 4n2−4n, n≥1
  cn=14 \(\frac {8}{3}n^{3}-6n^{2}+\frac {16}{3}n-1,~n\ge {1}\)