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Show that the reciprocal lattice for an fcc lattice is a bcc lattice. If the lattice constant of
the unit cell of the fcc lattice is a, determine the lattice constant for the unit cell of the
reciprocal bcc lattice?
The potential energy of the Neon crystal is described by the expression:

U(r) = -4ɛ[(ῤ0/r)^6 - (ῤ0/r)^12]

where ɛ= 3.12 x 10*−3 eV and ῤ0 = 2.82Å. Calculate the lattice parameter of the Neon
crystal (fcc structure).
The frequency of the longitudinal optical phonon for NaCl at the centre of the first
Brillouin zone is 5 rads^−1. Calculate the interatomic force constant for this material.
(The atomic weight of Na = 23 and Cl = 37)
Calculate the Debye specific heat of copper at 300 K, given that its Debye frequency is
4.11 x 10^13 rads^−1.
The values of the elastic stiffness constants for GaAs are:

c11= 1.18 x 10^11 Nm^-2, c44= 0.59 x 10^11 Nm^-2, c12= 0.54 x 10^11 Nm^-2

Given that the density of GaAs is 5.32gcm^-3, determine the bulk modulus of elasticity
and the velocity of the transverse and longitudinal elastic waves in the [100] direction
Consider a superconductor with an energy gap of 1.7 x 10^−4 eV. Find the maximum
wavelength of electromagnetic radiation which will be absorbed by this superconductor.
A monovalent metal has a bcc structure and its lattice parameter is 1.5 Å. Calculate its
Fermi energy.
A metal has an fcc structure, a lattice parameter a = 0.4 nm, and a valence Z = 1.
Calculate its Hall coefficient.
What are fusible alloys? Explain their use in safety sprinklers.
Explain, with a diagram, the operation of a photovoltaic solar cell.
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