The susceptibility of is
and its density is
. Calculate its total polarisability. Assume that the mass number for
is 32.
The total polarizability ( \alpha ) is related to the molar susceptibility ( \chi_m ) by the Clausius-Mossotti relation: [ \alpha = \frac{3 \varepsilon_0 M}{N_A \rho} \chi ] where: (\chi = 0.39 \times 10^{-3}) (volume susceptibility), (\rho = 1.43 , \text{kg/m³}) (density), (M = 32 ____ _______ _____ ___ _____ ___ ______ _________.
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A metallic element has a density of , a lattice constant of
and an atomic weight
. Calculate the number of atoms per unit cell of this element and predict its lattice crystal structure.
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A divalent metal crystallizes in an fcc structure with a lattice constant of 4.5 A. Calculate the number density of conduction electrons and the Fermi velocity.
Show that the reciprocal lattice of a bcc lattice is an fcc lattice. Calculate the magnitude of the shortest non-zero reciprocal lattice vector.
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Note: For the central atom located at (0,0,0) in the bcc unit cell, the nearest neighbours are located at , where a is the lattice constant.
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at
and
respectively. Calculate the critical temperature and critical field at
.
The critical temperature of lead (Pb) of average atomic mass is
. Calculate the critical temperature of a specimen of lead isotope with mass
using the normal isotope effect.