1.12. Summary
In this Chapter, the structure of crystals has been described. The concepts of Bravais lattice, crystal systems, unit cell, point groups, space groups, Miller indices and packing factor have been introduced. The symmetry properties of crystals have been discussed. The most common crystal structures for semiconductors have been described. We have also introduced the concept of the reciprocal lattice. We have shown that for every periodic lattice in real space \( \overrightarrow R \) , it is possible; to construct a periodic reciprocal lattice in \( \overrightarrow K \) space. The reciprocal lattice is the lattice in so called momentum space. The Wigner Seitz cell of the reciprocal lattice is called the first Brillouin zone
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Further reading
Dalven, R., Introduction to Applied Solid State Physics: Topics in the Applications of Semiconductors, Superconductors, Ferromagnetism, and the Nonlinear Optical Properties of Solids, Plenum Press, New York, 1990.
Holden, A., The Nature of Solids, Dover, New York, 1992.
Kittel, C, Introduction to Solid State Physics, John Wiley & Sons, New York, 1986.
Loretto, M.H., Electron-Beam Analysis of Materials, Chapman & Hall, London, 1994.
Lovett, D.R., Tensor Properties of Crystals, Institute of Physics, Bristol, UK, 1999.
Mayer, J.W. and Lau, S., Electronic Materials Science for Integrated Circuits in Si and GaAs, Macmillan, New York, 1990.
McKelvey, J.P., Solid State and Semiconductor Physics, Harper and Row, New York, 1966.
Pierret, R.F., Advanced Semiconductor Fundamentals, Addison-Wesley, Reading, MA, 1989.
Rhodes, G., Crystallography Made Crystal Clear, Academic Press, San Diego, Calif., 1993.
Rosenberg, H.M., The Solid State, Oxford physics series, Clarendon Press, Oxford, 1978.
Scott, W.R., Group Theory, Dover Publications, New York, 1964.
Weyl, H., The Theory of Groups and Quantum Mechanics, Dover Publications, New York, 1950.
Wolfe, C.M., Holonyak, N., and Stillman, G.E., Physical Properties of Semiconductors, Prentice-Hall, Englewood Cliffs, N.J., 1989.
Yu, P.Y. and Cardona, M., Fundamentals of Semiconductors: Physics and Materials Properties, Springer, New York, 1999.
Ziman, J.M., Elements of Advanced Quantum Theory, Cambridge University Press, London, 1969.
Ziman, J.M., Principles of the Theory of Solids, Cambridge University Press, Cambridge, 1998.
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(2006). Crystalline Properties of Solids. In: Fundamentals of Solid State Engineering. Springer, Boston, MA. https://doi.org/10.1007/0-387-28751-5_1
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DOI: https://doi.org/10.1007/0-387-28751-5_1
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