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Crystallographic Texture and Group Representations

Crystallographic Texture and Group Representations

Hardcover

Technology & EngineeringGeneral Mathematics

ISBN10: 9402421572
ISBN13: 9789402421576
Publisher: Springer Nature
Published: Apr 13 2023
Pages: 430
Weight: 2.05
Height: 1.10 Width: 6.38 Depth: 9.29
Language: English

This book starts with an introduction to quantitative texture analysis (QTA), which adopts conventions (active rotations, definition of Euler angles, Wigner D-functions) that conform to those of the present-day mathematics and physics literature. Basic concepts (e.g., orientation; orientation distribution function (ODF), orientation density function, and their relationship) are made precise through their mathematical definition. Parts II and III delve deeper into the mathematical foundations of QTA, where the important role played by group representations is emphasized. Part II includes one chapter on generalized QTA based on the orthogonal group, and Part III one on tensorial Fourier expansion of the ODF and tensorial texture coefficients.

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