Question

The density for simple cubic lattice is :

[where A is atomic weight, N is the Avogadro number and a is lattice parameter]

• A. $\frac{4A}{N{a}^3}$
• B. $\frac{2A}{N{a}^3}$
• C. $\frac{A}{N{a}^3}$
• D. $\frac{A}{N{a}^2}$

Answer 1

The correct option is C $\frac{A}{N{a}^3}$

Density = $\frac{\text{Mass of atom in unit cell}}{\text{Total volume of unit cell}}=\frac{nM}{V_c{N}_A}$

For simple cubic lattice,

$n=1V_c=a^3$

$Given,M=A$

$=\frac{A}{N{a}^3}$