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Table 4 Magic formulas for the cuboctahedron

From: Magic Mathematical Relationships for Nanoclusters

 

fcc cuboctahedron n=4

Atoms

\(\frac {10}{3}n^{3} + 5n^{2} + \frac {11}{3}n+1,~n\ge 1\)

 

Bonds

20n3+12n2+4n, n≥0

 

cn=5

12, n≥1

 

cn=7

24n−24, n≥1

 

cn=8

6n2−12n+6, n≥1

 

cn=9

4n2−12n+8, n≥1

 

cn=12

\(\frac {10}{3}n^{3}-5n^{2}+\frac {11}{3}n-1,~n\ge 1\)

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