Physics20745 marksNumerical: FCC unit cell lengthCrystal structure
Copper has a face-centered cubic structure with a non-atom basis. The density of copper is 8.96text g/cm3 and its atomic weight is 63.5text g/mole. What is the length of the unit cube of the structure?
Copper has a face-centered cubic structure with a non-atom basis. The density of copper is $8.96\text{ g/cm}^3$ and its atomic weight is $63.5\text{ g/mole}$. What is the length of the unit cube of the structure? [5]
Quantity Value ------ Structure FCC, one-atom basis Density $\rho$ $8.96\ \text{g/cm}^3$ Atomic weight $M$ $63.5\ \text{g/mole}$ Avogadro number $NA$ $6.022\times10^{23}\ \text{/mole}$ Atoms per cell (FCC) $n$ $4$ Atoms per unit cell (FCC): $$n = 8\times\tfrac{1}{8} + 6\times\tfrac{1}{2} = 1 + 3 ...