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Author : Miller
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 ( download)
Download or read book On the Application of Elementary Geometry to Crystallography written by Miller and published by . This book was released on 1857 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Hallowes Miller
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (9 download)
Download or read book On the Application of Elementary Geometry to Crystallography written by William Hallowes Miller and published by . This book was released on 1857 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. H. Miller
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.B/5 (1 download)
Download or read book A Tract on Crystallography written by W. H. Miller and published by . This book was released on 1863 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Engel
Publisher : Springer Science & Business Media
ISBN 13 : 9400947607
Total Pages : 273 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometric Crystallography written by P. Engel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade mathematical crystallography has found increasing interest. Siginificant results have been obtained by algebraic, geometric, and group theoretic methods. Also classical crystallography in three-dimen sional Euclidean space has been extended to higher dimen sions in order to understand better the dimension independent crystallographic properties. The aim of this note is to introduce the reader to the fascinating and rich world of geometric crystallography. The prerequisites for reading it are elementary geometry and topological notations, and basic knowledge of group theory and linear algebra. Crystallography is geometric by its nature. In many cases, geometric arguments are the most appropriate and can thus best be understood. Thus the geometric point of view is emphasized here. The approach is axiomatic start ing from discrete point sets in Euclidean space. Symmetry comes in very soon and plays a central role. Each chapter starts with the necessary definitions and then the subject is treated in two- and three-dimensional space. Subsequent sections give an extension to higher dimensions. Short historical remarks added at the end of the chapters will show the development of the theory. The chapters are main ly self-contained. Frequent cross references, as well as an extended subject index, will help the reader who is only interested in a particular subject.
Author : Toshikazu Sunada
Publisher : Springer Science & Business Media
ISBN 13 : 4431541772
Total Pages : 236 pages
Book Rating : 4.4/5 (315 download)
Download or read book Topological Crystallography written by Toshikazu Sunada and published by Springer Science & Business Media. This book was released on 2012-12-23 with total page 236 pages. 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.
Author : Andrzej Szczepański
Publisher : World Scientific
ISBN 13 : 9814412252
Total Pages : 208 pages
Book Rating : 4.8/5 (144 download)
Download or read book Geometry of Crystallographic Groups written by Andrzej Szczepański and published by World Scientific. This book was released on 2012 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.
Author : Victor Regnault
Publisher : Forgotten Books
ISBN 13 : 9780332304564
Total Pages : 96 pages
Book Rating : 4.3/5 (45 download)
Download or read book An Elementary Treatise on Crystallography (Classic Reprint) written by Victor Regnault and published by Forgotten Books. This book was released on 2017-12 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from An Elementary Treatise on Crystallography The greater number of substances which we prepare in our laboratories are susceptible of crystallization, that is to say, of assuming regular geometrical forms; and it is observed that when the formation of these crystals proceeds under the same circumstances, the forms of the difl'erent individual crystals are precisely similar, so much so, indeed, that these forms are one of the most certain means of distinguishing crystalline bodies from each other. The crystalline forms which different natural substances afi'ect, appear, at first sight, to be infinitely variable; but a minute study of these various forms has brought to light certain general laws to which they are all subj ect, and which set limits to their number. The laws relative to the crystalline forms of bodies already occupy a conspicuous place in our chemical theories, and the importance of this branch of study will become still greater, when the science of crystallo graphy is more generally spread, and chemists give themselves the trouble of determining, with precision, the crystalline forms of the bodies which they examine. The principles of this science, which here follow, require merely of the reader an acquaintance with elementary geometry. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author :
Publisher :
ISBN 13 :
Total Pages : 1410 pages
Book Rating : 4.3/5 (91 download)
Download or read book Philosophical Magazine written by and published by . This book was released on 1857 with total page 1410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Ladd
Publisher : OUP Oxford
ISBN 13 : 0191649910
Total Pages : 457 pages
Book Rating : 4.1/5 (916 download)
Download or read book Symmetry of Crystals and Molecules written by Mark Ladd and published by OUP Oxford. This book was released on 2014-02-20 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study of the symmetry and geometry of crystals and molecules, starting from first principles. The pre-knowledge assumed is mathematics and physical science to about A-level; additional mathematical topics are discussed in appendices. It is copiously illustrated, including many stereoviews, with instructions both for stereoviewing and for constructing a stereoviewer. Problems for each chapter are provided, with fully worked tutorial solutions. A suite of associated computer programs has been devised and placed on-line, for assisting both the study of the text and the solutions of the problems. The programs are easily executed, and instructions are provided in the text and on the monitor screen. The applicability of symmetry in everyday life as well as in science is stressed. Point groups and space groups are first discussed and derived in a semi-analytical manner, and later by use of group theory. The basic principles of group theory are discussed, together with applications to symmetry, chemical bonding and aspects of vibrations of molecules and crystals. The book is addressed to those studying the physical sciences and meeting the subject for the first time, and it brings the reader to a level of appreciation for the definitive works produced by the International Union of Crystallography, such as the International Tables for X-ray Crystallography, Vol 1 (1965) and the International Tables for Crystallography, Vol A (2006).
Author : Donald E. Sands
Publisher : Courier Corporation
ISBN 13 : 0486678393
Total Pages : 196 pages
Book Rating : 4.4/5 (866 download)
Download or read book Introduction to Crystallography written by Donald E. Sands and published by Courier Corporation. This book was released on 1993-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise explanation of the logical development of basic crystallographic concepts. Extensive discussion of crystals and lattices, symmetry, crystal systems and geometry, x-ray diffraction, determination of atomic positions, and more. Well-chosen selection of problems, with answers. Ideal for crystallography course or as supplement to physical chemistry courses. 114 illustrations. 1969 edition.
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (321 download)
Download or read book The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1857 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Siobhan Roberts
Publisher : Princeton University Press
ISBN 13 : 0691264759
Total Pages : 416 pages
Book Rating : 4.6/5 (912 download)
Download or read book The Man Who Saved Geometry written by Siobhan Roberts and published by Princeton University Press. This book was released on 2024-10-29 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.
Author : Maureen M. Julian
Publisher : CRC Press
ISBN 13 : 1466552921
Total Pages : 680 pages
Book Rating : 4.4/5 (665 download)
Download or read book Foundations of Crystallography with Computer Applications written by Maureen M. Julian and published by CRC Press. This book was released on 2014-10-03 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking a straightforward, logical approach that emphasizes symmetry and crystal relationships, Foundations of Crystallography with Computer Applications, Second Edition provides a thorough explanation of the topic for students studying the solid state in chemistry, physics, materials science, geological sciences, and engineering. It is also written
Author : Paolo Radaelli
Publisher : Oxford University Press, USA
ISBN 13 : 0199550654
Total Pages : 141 pages
Book Rating : 4.1/5 (995 download)
Download or read book Symmetry in Crystallography written by Paolo Radaelli and published by Oxford University Press, USA. This book was released on 2011-09-22 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fresh approach to teaching crystallographic symmetry. Rather than being swamped by heavy algebraic notation, the reader is taken through a series of simple and beautiful examples from the visual arts, and taught how to analyse them employing the 'pictorial' diagrams used in the International Tables of Crystallography.
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.0/5 (96 download)
Download or read book London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1857 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harshad Kumar Dharamshi Hansraj Bhadeshia
Publisher : CRC Press
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (91 download)
Download or read book Worked Examples in the Geometry of Crystals written by Harshad Kumar Dharamshi Hansraj Bhadeshia and published by CRC Press. This book was released on 1987 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. A. K. Tareen
Publisher : Universities Press
ISBN 13 : 9788173713606
Total Pages : 222 pages
Book Rating : 4.7/5 (136 download)
Download or read book A Basic Course in Crystallography written by J. A. K. Tareen and published by Universities Press. This book was released on 2001 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
