IGNOU PHE 13 2026 - Sodium metal crystallizes in the bcc structure. The metal has atomic w

Question

Sodium metal crystallizes in the bcc structure. The metal has atomic weight 23 and density $971\text{ kg m}^{-3}$ . Calculate the cubic lattice parameter a and the shortest distance between atoms in this structure.

29 Jan 2026

Answer :

Word Count : 185

For a body-centered cubic (bcc) structure, there are 2 atoms per unit cell. The density formula is: [ \rho = \frac{n \cdot A}{V_c \cdot N_A} ] Where: (\rho = 971 \text{ kg/m}^3), (n = 2), (A = 23 \text{ g/mol} = 0.023 \text{ kg/mol}), (N_A = 6.022 \times 10^{23} \text{

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