Uploaded February 2026 | Updated September 2026, 2 weeks ago
This video has been created automatically from These are the Appendices of the book (https://www.phase-trans.msm.cam.ac.uk...) Geometry of Crystals, polycrystals, and phase transformations" by H. K. D. H. Bhadeshia
These technical excerpts from H. K. D. H. Bhadeshia’s work provide a foundational mathematical framework for analysing crystalline structures and their transformations. The text primarily details vector algebra, including dot and cross products, alongside essential matrix operations such as inversion, transposition, and the Einstein summation convention. Specialised focus is given to orthogonal matrices and their role in representing coordinate changes and rigid body rotations. Furthermore, the material derives a general rotation matrix to describe movements around arbitrary axes, integrating concepts like Euler angles. Ultimately, these appendices serve as a rigorous toolkit for calculating the geometric relationships and orientations inherent in materials science.
This video has been created automatically from These are the Appendices of the book (https://www.phase-trans.msm.cam.ac.uk...) Geometry of Crystals, polycrystals, and phase transformations" by H. K. D. H. Bhadeshia
These technical excerpts from H. K. D. H. Bhadeshia’s work provide a foundational mathematical framework for analysing crystalline structures and their transformations. The text primarily details vector algebra, including dot and cross products, alongside essential matrix operations such as inversion, transposition, and the Einstein summation convention. Specialised focus is given to orthogonal matrices and their role in representing coordinate changes and rigid body rotations. Furthermore, the material derives a general rotation matrix to describe movements around arbitrary axes, integrating concepts like Euler angles. Ultimately, these appendices serve as a rigorous toolkit for calculating the geometric relationships and orientations inherent in materials science.
