Table 12 Magic formulas for the truncated hexagonal bipyramid
Truncated hexagonal bipyramid n=4 | ||
|---|---|---|
| Atoms | \(\frac {7}{2}n^{3} + \frac {21}{4}n^{2} + \frac {7}{2}n + \frac {3}{4},~n\ge 3\) odd |
\(\frac {7}{2}n^{3} + \frac {21}{4}n^{2} + \frac {7}{2}n + 1,~n\ge 2\) even | ||
Bonds | \(21n^{3} + \frac {27}{2}n^{2} + 3n - \frac {3}{2},~n\ge 3\) odd | |
\(21n^{3} + \frac {27}{2}n^{2} + 3n,~n\ge 2\) even | ||
cn=5 | 6, n≥2 | |
cn=6 | 3n+9, n≥1 | |
cn=7 | 18n−24, n≥1 | |
cn=8 | \(\frac {9}{2}n^{2} - 9n + \frac {9}{2},~n \ge {3}\), odd | |
\(\frac {9}{2}n^{2} - 9n + 3,~n \ge {2}\), even | ||
cn=9 | 6n2−12n+6, n≥3, odd | |
6n2−12n+8, n≥2, even | ||
cn=12 | \(\frac {7}{2}n^{3} - \frac {21}{4}n^{2} + \frac {7}{2}n -\frac {3}{4},~n\ge 3\) odd | |
\(\frac {7}{2}n^{3} - \frac {21}{4}n^{2} + \frac {7}{2}n -1,~n\ge 2\) even | ||
