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