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15.10: Summary

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    This TLP has covered the following topics:

    • The mathematical description of the atomic structure of a crystal.
    • The different lattice types.
    • What a lattice vector, unit cell & motif are and how they are relevant to describing crystals.
    • Close packing and the packing efficiency of a crystal structure.
    • What symmetry operators are present within a crystallographic lattice and how only specific combinations of such symmetry elements may exist.
    • Bravais lattice and Point Groups.
    • How to construct the plan view of a 2×2 unit cell.

    Going further


    • A. Putnis, Introduction to Mineral Sciences, Cambridge University Press, 1992
    • Feynman, Leighton, Sands, Lectures on Physics Vol. II, Chapter 30, Addison-Wesley Publishing Company, 1964 [Note: This book follows a different convention when referring to body-centred and face-centred structures]
    • C. Hammond, The Basics of Crystallography and Crystallography, III Ed, Oxford University Press, 2009
    • B.D Cullity, S.R Stock, Elements of X-Ray Diffraction, Prentice Hall, 2001
    • McKie, McKie, Essentials of Crystallography, Blackwell Scientific Publications, 1986

    Website of International Tables for Crystallography

    This page titled 15.10: Summary is shared under a CC BY-NC-SA 2.0 license and was authored, remixed, and/or curated by Dissemination of IT for the Promotion of Materials Science (DoITPoMS) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.

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