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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

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