By Olaf Engler

Encompassing the options, perform, and alertness of orientation research, creation to Texture research is an important reference resource for reserachers in textiles. the writer makes use of an available variety to proportion her services, supplying complete assurance of the idea and perform of the feel strategies now to be had and discusses their purposes in examine and undefined. The textual content considers the advantages of every method for particular functions. Case stories extend upon the author's reasons and support illustrate the most rules concerned. themes contain purposes of diffraction, SEM- and TEM-based innovations, and crystallographic analyses.

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Additional resources for Introduction to Texture Analysis: Macrotexture, Microtexture and Orientation Mapping

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This Part is shorter than the following Part on Microtexture Anulysis, reflecting both the growing emphasis on the modern microtexture approach to texture analysis and the greater requirement for detailed explanation of the philosophy, practice and analysis associated with microtexture. These are all dealt with in Part 3. evaluation of the basic 'raw data' of microtexture. the Kikuchi diffraction pattern, need to be covered in some detail. and this is accomplished in Chapter 6. Then Chapters 7 and 8 describe experimental details of SEM and TEM based techniques respectively, followed in Chapter 9 by how the statistics of microtexture data are analysed and represented.

Accordingly a given orientation in pole figures, like { l 121) and { l 101), is defined by six equivalent poles each, which describes unambiguously this orientation. , and - in the most general case twenty-four {hkl) poles, which means that all pole figures of cubic crystals comprise enough poles to describe unambiguously an orientation. e. in a pole figure, vice versa the orientation of the specimen coordinate system can be projected into the crystal coordinate system. This representation is called the inversepole$gure.

5 THE EULER ANGLES AND EULER SPACE Both the orientation matrix and the ideal orientation notation overdetermine the orientation, since only three variables are needed to specify an orientation. The most INTRODUCTION TO TEXTURE ANALYSIS 26 well-established method of expressing these three numbers is as the three Eziler angles, which reside in a coordinate system known as E d e r space. 1 The Euler angles The Euler angles refer to three rotations which, when performed in the correct sequence, transform the specimen coordinate system onto the crystal coordinate system - in other words specify the orientation.

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