written 3.5 years ago by | modified 2.7 years ago by |
Atomic weight of metal is 55.85. Avogadro number is 6.023×1023/gm mole.
written 3.5 years ago by | modified 2.7 years ago by |
Atomic weight of metal is 55.85. Avogadro number is 6.023×1023/gm mole.
written 3.5 years ago by |
Let $\mathrm{a}=$edge of unit cell
=lattice parameter of a cubic cell
$M=$ mass of element per mole
= atomic weight of the element
$\rho=$ density of the metal
$\mathrm{N_A}=$ Avogadro's number
n= number of atoms per unit cell
Thus
$\mathrm{a=2.9}\dot{A}=2.9\times10^{-8} cm $
$\mathrm{M=55.85}$
$\mathrm{\rho=7.87 \space gm/cc}$
$\mathrm{N_A=6.023\times 10^{23}}$
Number of atoms per unit cell,n:
Using the relation
$\mathrm{\rho\space a^{3} =\dfrac{nM}{N_A}}$
or $\mathrm{n=\dfrac{\rho\space a^3N_A}{M}}$
$\mathrm{=\dfrac{7.87\times(2.9\times 10^{-8})^3\times 6.0238\times 10^{23}}{55.85}=2}$