Discuss the below:
Q1. A plane wave in incident upon single atom regular lattice. Calculate the scattered amplitude from all the atoms.
Q2. For the unit cell vectors given, find the value of alpha, beta and gamma where maximal diffraction will be observed.
Q3. Define the Brillouin zone and demonstrate that all wave vectors which start from the origin and satisfy the condition for maximum will terminate on the Brillouin zone boundary.
Q4. For a two dimensiona crystal with its cell vectors given, find the reciprocal lattice and draw it.