Abstract
Since our emphasis is on crystalline materials, we will first discuss how the details of the crystal symmetry affect the DPs we expect to see. What we’re doing here is taking the concepts of the reciprocal lattice and applying it to particular examples. There are two basic lessons:
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You must learn some of the rules that we will derive for particular crystal structures; one example will be to determine which reflections are allowed for an fcc crystal.
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The other lesson is more general and is really concerned with why we have these rules. Why are certain reflections absent or weak and how can you use this information to learn more about your material?
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References
General References
Andrews, K.W., Dyson, D.J., and Keown, S.R. (1971) Interpretation of Electron Diffraction Patterns, 2nd edition, Plenum Press, New York. Stereographic projections, angles, spacings, and much more.
Cullity, B.D. (1978) Elements of X-ray Diffraction, 2nd edition, Addison-Wesley, Reading, Massachusetts.
Massalski, T., Okamoto, H., Subramanian, P.R., and Kacprzak, L., Eds. (1990) Binary Alloy Phase Diagrams, 2nd edition, ASM International, Materials Park, Ohio. Appendix Al gives a complete list of the Pearson Symbols (L12, etc.) with their space group and Strukturbericht designation.
Misell, D.L. and Brown, E.B. (1987) Electron Diffraction: An Introduction for Biologists, Volume 12 of the series Practical Methods in Electron Microscopy (Ed. A.M. Glauert), Elsevier, New York. Materials science students should not be put off by the title: this is an invaluable practical guide to indexing diffraction patterns and more.
Specific References
Crystal Kit, see Section 1.5.
Desktop Microscopist, see Section 1.5.
Dodsworth, J., Kohlstedt, D.L., and Carter, C.B. (1983) Adv. Ceram. 6, 102.
Edington, J.W. (1976) Practical Electron Microscopy in Materials Science, Van Nostrand Reinhold, New York.
Frank, F.C. (1965) Acta Cryst. 18, 862.
Hahn, T. (1988) International Tables for Crystallography. Brief teaching edition of volume A, space-group symmetry, Kluwer Academic Publishers, Dordrecht, Netherlands.
Ibers, J.A. (1957) Acta Cryst. 10, 86.
Jenkins, M.L., Katerbau, K.-H., and Wilkens, M. (1976) Phil. Mag. 34, 1141.
Lee, W.E. and Lagerlof, K.P.D. (1985) J. Electron Microsc. Tech. 2, 247 (errata in).
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Williams, D.B., Carter, C.B. (1996). Diffraction from Crystals. In: Transmission Electron Microscopy. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2519-3_16
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DOI: https://doi.org/10.1007/978-1-4757-2519-3_16
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