By Jian Min Zuo, John C.H. Spence
This quantity expands and updates the assurance within the authors' renowned 1992 booklet, Electron Microdiffraction. because the identify implies, the point of interest of the booklet has replaced from electron microdiffraction and convergent beam electron diffraction to all different types of complicated transmission electron microscopy. specified consciousness is given to electron diffraction and imaging, together with high-resolution TEM and STEM imaging, and the applying of those easy methods to crystals, their defects, and nanostructures. The authoritative textual content summarizes and develops lots of the necessary wisdom which has been received through the years from the learn of the a number of electron scattering challenge, the new improvement of aberration correctors and their purposes to fabrics constitution characterization, in addition to the authors' vast instructing event in those components. Advanced Transmission Electron Microscopy: Imaging and Diffraction in Nanoscience is perfect to be used as a sophisticated undergraduate or graduate point textual content in help after all fabrics in fabrics technological know-how, Physics or Chemistry departments.
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Additional info for Advanced Transmission Electron Microscopy: Imaging and Diffraction in Nanoscience
9) is only one of many solutions to the three-dimensional wave equation. The other special solution is the spherical wave, which is emitted from a point source. The wave function of a spherical sinusoidal wave has the form /¼ /o expð2pikr Þ expðÀixtÞ r ð2:10Þ It can be shown that this is a solution of the homogeneous wave equation by using the spherical representation of Eq. 9) 1 @ 1 @2 1 @2 2 @ r /¼ 2 r ð r/ Þ ¼ ðr/Þ /¼ r @r @r r @2r v2 r @t2 2 ð2:11Þ The spherical sinusoidal wave of Eq. 10) represents a diverging wave from the point of origin.
A physics background, knowledge of crystallography, and some familiarity with electron microscopy at the undergraduate level are assumed. Students embarking on a course in materials research at the graduate level will want to know where this book ﬁts into the overall scheme of modern materials science and engineering. It is often said that materials science and engineering is the study of the structure, properties, synthesis, and processing of materials. The study of relationships between structure and properties is what differentiate materials science and engineering from chemistry, physics, or mechanical engineering.
For this reason, a sinusoidal wave is also called plane wave because of its constant phase in the 2D plane normal to the wave propagation direction. The 3D equivalent is that the phase only depends on the distance along ^k, which mathematically is given by ^k Á~ r. Putting this into Eq. # h i ^k Á~ r /ð~ r; tÞ ¼ /o exp 2pi k Á~ r expðÀixtÞ: expðÀixtÞ ¼ /o exp 2pi~ k ð2:8Þ qﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ 1 We call the vector ~ k ¼ ^k=k the wave vector and ~ k ¼ k ¼ kx2 þ ky2 þ kz2 the wave number.