solid state physics by rk puri vk babber

chapter 1 complete problems solution pdf

SSP CHAPTER 1 COMPLETE PROBLEMS SOLUTION
RK PURI VK BABBER BOOK

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PROBLEMS SOLVED IN GIVEN PDF

1. Find the Miller indices for planes with each of the following sets of intercepts:

(i) ( 3a, 3b, 2c ) (ii) (a, 2b, ∞ ) (iii) (5a, -6b, c )

(iv) (a, b/2, c; ) (v) (a, b , -c ) (vi) ( a/2, b , ∞ )

where a, b and c are lattice parameters.

2. Draw a (1 -1 0) plane in a cubic unit cell. Show all the <111> directions that lies on this plane and give the Miller indices of each direction.

4. A plane makes intercepts of 1, 2 and 3 Å on the crystallographic axes of an orthorhombic crystal a:b:c=3:2:1. Determine the Miller indices of this plane.

5. Determine the number of the nearest neighbours and the closest distance of approach in terms of lattice parameter for monoatomic sc, bcc and fcc structures .

6. Calculate the linear density (number of atoms per unit length ) along cube edge , face diagonal and body diagonal of an fcc unit cell of side length ‘a’.

7. Nickel (fcc) has the lattice parameter of 3.52 Å. Calculate atomic planner density ( number of atoms per unit area ) on (100) , (110) and (111) planes. Is it possible to pack the atoms more closely than in (111) plane?

8. Calculate the angles which [111] direction of cubic lattice make with [100] and [110] directions.

9. Show (111) and (222) planes in the cubic unit cell of side ‘a’ . compute the distances of these planes from a parallel plane passing through the origin.

10. Calculate the distance between the adjacent parallel planes of the the type (100), (110) and (111) in an fcc lattice of lattice constant ‘a’. Check the validity of statement ‘’the most close-packed planes are the most widely spaced.’’

11. Copper (fcc) has the density of 8960 kg/m3. Calculate the unit cell dimension and radius of Cu atom, given the atomic mass of copper as 63.54 amu.

12. Prove that c/a ratio for an ideal hcp structure is 1.633.

13. Zinc (hcp) has lattice parameters as ‘a’ and ‘c’ as 2.66 Å and 4.94 Å respectively. Calculate the packing fraction and density of zinc, given the atomic radius and atomic mass of zinc as 1.31 Å and 65.37 amu respectively.

14. Calculate the distance between two atoms of a basis of diamond structure, if the lattice constant of a structure is 5 Å.

Show that the (hkl) plane is perpendicular to the [hkl] direction in a cubic lattice