Table 9 Magic formulas for the bcc cuboctahedron
bcc cuboctahedron n=3 | ||
---|---|---|
| Atoms | \(\frac {5}{3}n^{3}+7n^{2}+\frac {34}{3}n+7,~n\ge 1\) odd |
\(\frac {5}{3}n^{3}+7n^{2}+\frac {25}{3}n+1,~n\ge 2\) even | ||
Bonds | \(\frac {35}{3}n^{3}+34n^{2}+\frac {112}{3}n+15,n\ge 1\) odd | |
\(\frac {35}{3}n^{3}+34n^{2}+\frac {67}{3}n,~n\ge 2\) even | ||
cn=4 | 12, n≥1 odd; 0, n even | |
cn=6 | 12n−12, n≥1 odd; 0, n even | |
cn=7 | n2−4n+3, n≥1 odd | |
n2+14n, n≥2 even | ||
cn=9 | 3n2+3, n≥1 odd | |
3n2−6n, n≥2 even | ||
cn=10 | n2+4n+3, n≥1, odd | |
n2−2n+12, n≥2, even | ||
cn=12 | 12n−24, n≥2 even; 0, n odd | |
cn=13 | 4n2−4, n≥3 odd | |
4n2−12n+14, n≥2 even | ||
cn=14 | \(\frac {5}{3}n^{3}-2n^{2}-\frac {2}{3}n+2,~n\ge {1}\) odd | |
\(\frac {5}{3}n^{3}-2n^{2}+\frac {7}{3}n-1,~n\ge {2}\) even |