Fundamentals of Crystals Fundamentals of Crystals. Symmetry, and Methods of Structural Crystallography

Early in this century, the newly discovered x-ray diffraction by crystals caused a complete change in crystallography and in the whole science of the atomic structure of matter, thus giving a new impetus to the development of solid-state physics. Crystallographic methods, primarily x-ray diffraction analysis, pene trated into materials sciences, molecular physics, and chemistry, and also into may other branches of science. Later, electron and neutron diffraction structure analyses became important since they not only complement x-ray data, but also supply new information on the atomic and the real structure of crystals. Electron microscopy and other modern methods of investigating matte- optical, electronic paramagnetic, nuclear magnetic, and other resonance tech niques - yield a large amount of information on the atomic, electronic, and real crystal structures. Crystal physics has also undergone vigorous development. Many remark able phenomena have been discovered in crystals and then found various practical applications. Other important factors promoting the development of crystallography were the elaboration of the theory of crystal growth (which brought crystallography closer to thermodynamics and physical chemistry) and the development of the various methods of growing synthetic crystals dictated by practical needs. Man made crystals became increasingly important for physical investigations, and they rapidly invaded technology. The production of synthetic crystals made a tremendous impact on the traditional branches: the mechanical treatment of materials, precision instrument making, and the jewelry industry.