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Table 4 Magic formulas for the cuboctahedron

From: Magic Mathematical Relationships for Nanoclusters

  fcc cuboctahedron n=4
Atoms \(\frac {10}{3}n^{3} + 5n^{2} + \frac {11}{3}n+1,~n\ge 1\)
  Bonds 20n3+12n2+4n, n≥0
  cn=5 12, n≥1
  cn=7 24n−24, n≥1
  cn=8 6n2−12n+6, n≥1
  cn=9 4n2−12n+8, n≥1
  cn=12 \(\frac {10}{3}n^{3}-5n^{2}+\frac {11}{3}n-1,~n\ge 1\)