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Table 15 Magic formulas for the fcc tetrahedron

From: Magic Mathematical Relationships for Nanoclusters

  fcc tetrahedron n=6
Atoms \(\frac {1}{6}n^{3} + n^{2} + \frac {11}{6}n + 1,~n\ge 1\)
  Bonds n3+3n2+2n, n≥1
  cn=3 4, n≥1
  cn=6 6n−6, n≥1
  cn=9 2n2−6n+4, n≥1
  cn=12 \(\frac {1}{6}n^{3} - n^{2} + \frac {11}{6}n -1,~n \ge {1}\)