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Table 11 Magic formulas for the hexagonal bipyramid

From: Magic Mathematical Relationships for Nanoclusters

  Hexagonal bipyramid n=4
Atoms 4n3+6n2+4n+1, n≥1
  Bonds 24n3+15n2+3n, n≥0
  cn=3 2, n≥1
  cn=5 6, n≥1
  cn=6 3n+3, n≥1
  cn=7 24n−24, n≥1
  cn=8 6n2−15n+9, n≥1
  cn=9 6n2−12n+6, n≥1
  cn=12 4n3−6n2+4n−1, n≥1