Physics20805 marksNumerical: Sodium unit cell lengthCrystal structure
Sodium has a body-centered cubic structure with a one-atom basis. The density and the atomic weight of sodium are 0.971text g/cm3 and 23 g/mole, respectively. What is the length of the unit cube of the structure?
Sodium has a body-centered cubic structure with a one-atom basis. The density and the atomic weight of sodium are $0.971\text{ g/cm}^3$ and 23 g/mole, respectively. What is the length of the unit cube of the structure? [5]
Quantity Value ------ Structure BCC, one-atom basis Density $\rho$ $0.971\ \text{g/cm}^3$ Atomic weight $M$ $23\ \text{g/mole}$ Avogadro's number $Na$ $6.022\times 10^{23}\ \text{/mole}$ Atoms per unit cell (BCC): $$n = 8\times\tfrac{1}{8} + 1 = 2$$ Density relation: $$\rho = \frac{nM}{Na,a^3}\q...