Titlebook: Crystallographic Texture and Group Representations; Chi-Sing Man Book 2023 Springer Nature B.V. 2023 Quantitative texture analysis.Orienta

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Crystallographic Texture and Group Representations

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Crystallographic Texture and Group Representations978-94-024-2158-3

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Orientation Space for Polycrystals with Crystallite Symmetry,tes, i.e., where .?=?{.} and .?=?{.}.. In Chap. . we follow Roe, who in his two seminal papers [270, 271] shows that the presence of non-trivial sample and/or crystallite symmetries leads to restrictions that the texture coefficients must satisfy.

聰明

Determination of Texture Coefficients via X-Ray Diffraction,X-ray pole figures, marks the birth of quantitative texture analysis in 1965. Since then, various other methods have been proposed and developed, including the WIMV (Williams–Imhof–Matthies–Vinel) method ([219, 223, 226]; cf. also [170] for an exposition and comments), which is implemented in the Lo

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The Peter-Weyl Theorem,as a faithful representation. Recall that a representation . of . on complex vector space . is faithful if it is injective. Every matrix group . has a faithful representation as the selfrepresentation . is faithful. In this exposition we are concerned only with matrix groups such as SO(3), O(3), etc

Between

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Stress and Strain Analysis and Measurement, and not applicable to viscoelastic polymers under all circumstances. By comparing the procedures discussed in later chapters with those of this chapter, it is therefore possible to contrast and evaluate the differences.

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