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Table 19 Magic formulas for the decahedron

From: Magic Mathematical Relationships for Nanoclusters

  Decahedron n=4
Atoms \(\frac {5}{6}n^{3} + \frac {5}{2}n^{2}+\frac {8}{3}n +1\)
  Bonds \(5n^{3} + \frac {15}{2}n^{2} + \frac {7}{2}n\)
  cn=4 5, n≥1
  cn=6 5n−3, n≥1
  cn=8 10n−10, n≥1
  cn=9 5n2−15n+10, n≥1
  cn=12 \(\frac {5}{6}n^{3} - \frac {5}{2}n^{2} + \frac {8}{3}n -1,~n\ge 1\)