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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

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