Table 3 Magic formulas for the fcc cube (odd layers)
fcc cube | |
---|---|
Atoms | \((12t)n^2+(-12t^2+12t)n+(4t^3-6t^2+3t+1), \,n>t\ge 3\) |
Bonds | \((72t-48)n^2+(-72t^2+120t-36)n+(24t^3-60t^2+36t),\,n>t\ge 3\) |
cn = 3 | \(8,\,n>t\ge 3\) |
cn = 5 | \(12n-12,\,n>t\ge 3\) |
cn = 8 | \(24n^2+(-24t-24)n+(12t^2+12t+12),\,n>t\ge 3\) |
cn = 9 | \(24n +(-24t-24),\,n>t\ge 3\) |
cn = 10 | \(24,\,n>t\ge 3\) |
cn = 11 | \(12n+(-12t),\,n>t\ge 3\) |
cn = 12 | \((12t-24)n^2+(-12t^2+36t-24)n+(4t^3-18t^2+27t-7),\,n>t\ge 3\) |