The role of crystallography in solving problems in solid state physics, is explained. A few domains in solid state physics such as detection of localized defects, structure of metallic solid solutions, mechanism of phase transitions and the intermediate states between crystalline and amorphous states, have been investigated successfully by X-ray and neutron diffraction methods. The studies have helped a deeper understanding of solid state phenomena. Structures of CuBa, AlZn, ..beta..-alumina etc. are discussed.