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Table 14 Magic formulas for the dodecahedron

From: Magic Mathematical Relationships for Nanoclusters

  Dodecahedron n=3
Atoms 10n3+15n2+7n+1, n≥1
  Bonds 40n3+45n2+17n, n≥0
  Surface atoms 30n2+2, n≥1
  cn=6 30n+2, n≥1
  cn=7 Bulk 12n−12, n≥2
  cn=7 Surface 30n2−30n, n≥2
  cn=8 10n3−15n2−25n+30, n≥1
  cn=9 20n−20, n≥1
  cn=12 1, n≥1