Table 7 Magic formulas for the fcc octahedron
fcc octahedron | |
---|---|
Atoms | \((4t)n^2+(-8t^2+8t)n+(\frac{16}{3}t^3-8t^2+\frac{14}{3}t), \,n>t\ge 2\) |
Bonds | \((24t-12)n^2+(-48t^2+72t-24)n+(32t^3-72t^2+52t-12),\,n>t\ge 2\) |
cn = 4 | \(6,\,n>t\ge 2\) |
cn = 7 | \(12n-12,\,n>t\ge 2\) |
cn = 9 | \(8n^2+(-16t-8)n+(16t^2-8t+8),\,n>t\ge 2\) |
cn = 11 | \(12n +(-24t +12),\,n>t\ge 2\) |
cn = 12 | \((4t-8)n^2 +(-8t^2+24t-16)n+(\frac{16}{3}t^3-24t^2+\frac{110}{3}t-14),\,n>t\ge 2\) |