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Table 3 Magic formulas for the bcc octahedron

From: Magic Mathematical Relationships for Nanoclusters—Errata and Addendum

 

bcc octahedron

Atoms

\(\frac {8}{3}n^{3}+6n^{2}+\frac {16}{3}n+1,~n\ge 1\)

 

Bonds

\(\frac {32}{3}n^{3}+12n^{2}+\frac {28}{3}n,~n\ge 1\)

 

cn=4

4n2+4n+6, n≥1

 

cn=6

12n−12, n≥1

 

cn=7

8n2−16n+8, n≥1

bcc octahedron n=3

cn=8

\(\frac {8}{3}n^{3}-6n^{2}+\frac {16}{3}n-1,~n\ge {1}\)

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