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Diffraction from Small Volumes

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Transmission Electron Microscopy

Abstract

A very important concept in TEM is that we only ever diffract from small volumes. These volumes are now called nanoparticles, nanograins, nanobelts, etc. By definition, no TEM specimen is infinite in all directions and all defects are small. Of course, the beam is also never infinitely wide! This chapter therefore discusses how the size of what we are examining influences the appearance of the DP.

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Diffraction from Interfaces

  • The relation between diffraction and images from planar defects has been the subject of a long series of papers from the group led by Prof. Severin Amelinckx. The examples below from Phys. stat. sol. will give you a start to your study.

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  • Carter, CB (1984) Electron Diffraction from Microtwins and Long-Period Polytypes Phil. Mag. A 50 133–141. The Young’s slit experiment in the TEM.

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  • de Ridder, R, Van Landuyt, J, Gevers, R and Amelinckx, S (1968) The Fine Structure of Spots in Electron Diffraction Resulting from the Presence of Planar Interfaces and Dislocations. IV. Wedge Crystals Phys. stat. sol. 30 797–815; See also: (1970) ibid. 38 747; (1970) ibid. 40 271; (1970) ibid. 41 519; (1970) ibid. 42 645.

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  • Gevers, R (1971) in Electron Microscopy in Materials Science (Ed. U. Valdrè) p302–310, Academic Press, New York. An introduction to the work of Amelinckx’ group.

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  • Gevers, R, Van Landuyt, J and Amelinckx, S (1966) The Fine Structure of Spots in Electron Diffraction Resulting from the Presence of Planar Interfaces and Dislocations. I. General Theory and Its Application to Stacking Faults and Anti-phase Boundaries Phys. stat. sol. 18 343–361; See also (1967) ibid. 21 393; (1967) ibid. 23 549; (1968) ibid. 26 577.

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  • Van Landuyt, J (1964) An Electron Microscopic Investigation of Phenomena Associated with Solid Solution of Oxygen in Niobium Phys. stat. sol. 6 957–974.

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  • Van Landuyt, J, Gevers, R and Amelinckx, S (1966) On the Determination of the Nature of Stacking Faults in fcc Metals from the Bright Field Image Phys. stat. sol. 18 167–172.

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Diffuse Scattering and Intercalation

  • Carter, CB and Williams, PM, 1972, An Electron Microscopy Study of Intercalation in Transition Metal Dichalcogenides Phil. Mag. 26 (2), 393–398. To encourage new students!

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  • Sauvage, M and Parthé, E (1972) Vacancy Short-Range Order in Substoichiometric Transition Metal Carbides and Nitrides with the NaCl structure. II. Numerical Calculation of Vacancy Arrangement Acta Cryst. A28 607–616.

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  • Wilson, JA, Di Salvo, FJ and Mahajan, S (1975) Charge-Density Waves and Superlattices in the Metallic Layered Transition Metal Dichalcogenides Adv. Phys. 24 117–201. An early review of intercalation.

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Correspondence to David B. Williams .

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Williams, D.B., Carter, C.B. (2009). Diffraction from Small Volumes. In: Transmission Electron Microscopy. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-76501-3_17

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