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Author : Harshad Kumar Dharamshi Hansraj Bhadeshia
Release : 1987
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Worked Examples in the Geometry of Crystals by : Harshad Kumar Dharamshi Hansraj Bhadeshia
Download or read book Worked Examples in the Geometry of Crystals written by Harshad Kumar Dharamshi Hansraj Bhadeshia. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harshad K. D. H. Bhadeshia
Release : 2017-09-05
Genre : Science
Kind : eBook
Book Rating : 115/5 ( reviews)
Book Synopsis Geometry of Crystals, Polycrystals, and Phase Transformations by : Harshad K. D. H. Bhadeshia
Download or read book Geometry of Crystals, Polycrystals, and Phase Transformations written by Harshad K. D. H. Bhadeshia. This book was released on 2017-09-05. Available in PDF, EPUB and Kindle. Book excerpt: Organized into a two-part structure aimed at readers of differing experience levels, Geometry of Crystals, Polycrystals, and Phase Transformations is accessible to both newcomers and advanced researchers within the field of crystallography. The first part of the text covers what any reader in the material sciences, physics, chemistry, earth sciences and natural sciences in general should know about crystallography. It is intentionally concise and covers sufficient material to form a firm foundation. The second part is aimed at researchers and discusses phase transformations, deformations, and interface crystallography in depth. The phase transformations are limited to those dominated by crystallography. The entire book contains worked examples and uniquely deals not just with crystals but aggregates of crystals and solid-state transformations between crystals.
Author : J.C. Tolédano
Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 165/5 ( reviews)
Book Synopsis Geometry and Thermodynamics by : J.C. Tolédano
Download or read book Geometry and Thermodynamics written by J.C. Tolédano. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Distinct scientific communities are usually involved in the three fields of quasi-crystals, of liquid crystals, and of systems having modulated crystalline structures. However, in recent years, there has been a growing feeling that a number of common problems were encountered in the three fields. These comprise the need to recur to "exotic" spaces for describing the type of order of the atomic or molecular configurations of these systems (Euclidian "superspaces" of dimensions greater than 3, or 4-dimensional curved spaces); the recognition that one has to deal with geometrically frustrated systems, and also the occurence of specific excitations (static or dynamic) resulting from the continuous degeneracies of the stable structures considered. In the view of discussing these problems, aNA TO-Advance Research Workshop has assembled in Preveza (Greece), in september 1989,50 experts of the three considered fields (with an equal proportion of theorists and experimentalists). 35 hours of conferences and discussions have led to a more detailed evaluation of the similarities and of the differences in the approaches implemented in the studies of the three types of systems. The papers contained in this NATO-series book provide the substance of this workshop. The reader will find three types of papers. Some very short papers giving the main ideas stated on a subject. Papers comprising 8-10 pages which stick closely to the contents of the talks presented. Longer papers providing more extensively the background and results relative to a given topic. It is worth summarizing the principal outputs of the workshop.
Author : Harshad K. D. H. Bhadeshia
Release : 2017-09-05
Genre : Science
Kind : eBook
Book Rating : 107/5 ( reviews)
Book Synopsis Geometry of Crystals, Polycrystals, and Phase Transformations by : Harshad K. D. H. Bhadeshia
Download or read book Geometry of Crystals, Polycrystals, and Phase Transformations written by Harshad K. D. H. Bhadeshia. This book was released on 2017-09-05. Available in PDF, EPUB and Kindle. Book excerpt: Organized into a two-part structure aimed at readers of differing experience levels, Geometry of Crystals, Polycrystals, and Phase Transformations is accessible to both newcomers and advanced researchers within the field of crystallography. The first part of the text covers what any reader in the material sciences, physics, chemistry, earth sciences and natural sciences in general should know about crystallography. It is intentionally concise and covers sufficient material to form a firm foundation. The second part is aimed at researchers and discusses phase transformations, deformations, and interface crystallography in depth. The phase transformations are limited to those dominated by crystallography. The entire book contains worked examples and uniquely deals not just with crystals but aggregates of crystals and solid-state transformations between crystals.
Author : Toshikazu Sunada
Release : 2012-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 772/5 ( reviews)
Book Synopsis Topological Crystallography by : Toshikazu Sunada
Download or read book Topological Crystallography written by Toshikazu Sunada. This book was released on 2012-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid’s Elements. Since then, geometry has taken its own path and the study of crystals has not been a central theme in mathematics, with the exception of Kepler’s work on snowflakes. Only in the nineteenth century did mathematics begin to play a role in crystallography as group theory came to be applied to the morphology of crystals. This monograph follows the Greek tradition in seeking beautiful shapes such as regular convex polyhedra. The primary aim is to convey to the reader how algebraic topology is effectively used to explore the rich world of crystal structures. Graph theory, homology theory, and the theory of covering maps are employed to introduce the notion of the topological crystal which retains, in the abstract, all the information on the connectivity of atoms in the crystal. For that reason the title Topological Crystallography has been chosen. Topological crystals can be described as “living in the logical world, not in space,” leading to the question of how to place or realize them “canonically” in space. Proposed here is the notion of standard realizations of topological crystals in space, including as typical examples the crystal structures of diamond and lonsdaleite. A mathematical view of the standard realizations is also provided by relating them to asymptotic behaviors of random walks and harmonic maps. Furthermore, it can be seen that a discrete analogue of algebraic geometry is linked to the standard realizations. Applications of the discussions in this volume include not only a systematic enumeration of crystal structures, an area of considerable scientific interest for many years, but also the architectural design of lightweight rigid structures. The reader therefore can see the agreement of theory and practice.
