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Table 7 Magic formulas for the bcc octahedron

From: Magic Mathematical Relationships for Nanoclusters

 

bcc octahedron n=4

Atoms

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

 

Bonds

\(\frac {56}{3}n^{3}+18n^{2}+\frac {40}{3}n,~n\ge 0\)

 

cn=5

6, n≥1

 

cn=7

4n2+4n, n≥0

 

cn=8

12n−12, n≥1

 

cn=10

4n2−12n+8, n≥1

 

cn=13

4n2−4n, n≥1

 

cn=14

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

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