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Table 16 Magic formulas for the bcc tetrahedron

From: Magic Mathematical Relationships for Nanoclusters

  bcc tetrahedron n=4
Atoms \(\frac {1}{3}n^{3} + \frac {3}{2}n^{2} + \frac {13}{6}n + 1,~n\ge 1\)
  Bonds \(\frac {2}{3}n^{3} + 2n^{2} + \frac {4}{3}n,~n\ge 1\)
  cn=1 4, n≥1
  cn=2 6n−6, n≥1
  cn=3 2n2−6n+4, n≥1
  cn=4 \(\frac {1}{3}n^{3} - \frac {1}{2}n^{2} + \frac {13}{6}n -1,~n\ge 1\)