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Table 15 Magic formulas for the fcc tetrahedron

From: Magic Mathematical Relationships for Nanoclusters

 

fcc tetrahedron n=6

Atoms

\(\frac {1}{6}n^{3} + n^{2} + \frac {11}{6}n + 1,~n\ge 1\)

 

Bonds

n3+3n2+2n, n≥1

 

cn=3

4, n≥1

 

cn=6

6n−6, n≥1

 

cn=9

2n2−6n+4, n≥1

 

cn=12

\(\frac {1}{6}n^{3} - n^{2} + \frac {11}{6}n -1,~n \ge {1}\)

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