List the limitations of the free electron theory.
Limitations of classical free electron theory
1. Classical theory states that all free electrons absorb the supplied energy. But quantum theory states that only a few electron absorb the supplied energy.
2. The electrical
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Prove that the volume of a unit cell of the reciprocal lattice of a bcc structure is
inversely proportional to the volume of the unit cell of its direct lattice.
Explain the significance of the linear and shear strain components of a crystal.
In a linear chain of two different types of atoms of masses M and m the
displacement of the two atoms in the k = 0 optical branch are u and v respectively. Show that
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With the help of diagrams explain the different types of point defects in crystals.
Derive an expression for the bulk modulus of a cubic crystal.
Show that an arbitrary reciprocal lattice vector →G = →ha1 + →ka2 + →la3
is perpendicular
to the family of planes denoted by (h,k,l) in the direct lattice space.