Table 7 Magic formulas for the bcc octahedron
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 | \(\frac {8}{3}n^{3}-6n^{2}+\frac {16}{3}n-1,~n\ge {1}\) |