Mathematical Crystallography
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Mathematical Crystallography
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Author : Monte B. Boisen
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-12-17
Mathematical Crystallography written by Monte B. Boisen and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-17 with Science categories.
Volume 15 of Reviews in Mineralogy is written with two goals in mind. The first is to derive the 32 crystallographic point groups, the 14 Bravais lattice types and the 230 crystallographic space group types. The second is to develop the mathematical tools necessary for these derivations in such a manner as to lay the mathematical foundation needed to solve numerous basic problems in crystallography and to avoid extraneous discourses. To demonstrate how these tools can be employed, a large number of examples are solved and problems are given. The book is, by and large, self-contained. In particular, topics usually omitted from the traditional courses in mathematics that are essential to the study of crystallography are discussed. For example, the techniques needed to work in vector spaces with noncartesian bases are developed. Unlike the traditional group-theoretical approach, isomorphism is not the essential ingredient in crystallographic classification schemes. Because alternative classification schemes must be used, the notions of equivalence relations and classes which are fundamental to such schemes are defined, discussed and illustrated. For example, we will find that the classification of the crystallographic space groups into the traditional 230 types is defined in terms of their matrix representations. Therefore, the derivation of these groups from the point groups will be conducted using the 37 distinct matrix groups rather than the 32 point groups they represent.
Mathematical Crystallography And The Theory Of Groups Of Movements
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Author : Harold Hilton
language : en
Publisher:
Release Date : 1963
Mathematical Crystallography And The Theory Of Groups Of Movements written by Harold Hilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Crystallography, Mathematical categories.
Mathematical Crystallography
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Author : Monte B. Boisen
language : en
Publisher:
Release Date : 1985
Mathematical Crystallography written by Monte B. Boisen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with categories.
Mathematical Techniques In Crystallography And Materials Science
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Author : Edward Prince
language : de
Publisher: Springer-Verlag
Release Date : 2013-07-01
Mathematical Techniques In Crystallography And Materials Science written by Edward Prince and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-01 with Science categories.
In the course of 30 years as a practicing crystallographer I have frequently been faced with the necessity of finding out a little bit about some general branch of mathematics with which I was previously unfamiliar. Under these circumstances I have usually followed the common practice of seeking out some colleague who would be expected to have a thorough knowledge of the subject. I would then find myself faced either with an involved lecture in which the colleague would attempt to distill a lifetime of experience into a form that was comprehensible to a novice with a very different background, or with a book about the subject, written by a specialist, that contained far more information than I really wanted to know. I would have to separate the few kernels of useful material from a large volume of what would probably be wheat to someone else, but was chaff to me. In the course of that time I have acquired a collection of books to which I frequently refer. Most of these have a small number of thoroughly dog-eared pages, along with many that have scarcely been opened. During the same period I have been privileged to associate and collaborate with a number of materials scientists who were not trained as crystallographers, but whose interests required them to understand particular details of some structural problem.
Mathematical Crystallography
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Author : Harold Hilton
language : en
Publisher: Forgotten Books
Release Date : 2017-05-21
Mathematical Crystallography written by Harold Hilton and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-21 with Mathematics categories.
Excerpt from Mathematical Crystallography: And the Theory of Groups of Movements I have not attempted to give a complete list of references, but I have occasionally inserted them when lack of space prevented me from making more than a mere allusion to the contents of the paper quoted. I take this opportunity of expressing my sincerest gratitude to Professor H. A. Miers, f.r.s. D. Se, for his generous and sympathetic help. With out his assistance both in preparing the ms. And in correcting the proofs, the book could never have been written; and any merits it may have are due to his suggestions alone. 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.
Mathematical Crystallography
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Author : HAROLD. HILTON
language : en
Publisher:
Release Date : 2018
Mathematical Crystallography written by HAROLD. HILTON and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
An Introduction To Mathematical Crystallography
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Author : Maurice Aaron Jaswon
language : en
Publisher:
Release Date : 1965
An Introduction To Mathematical Crystallography written by Maurice Aaron Jaswon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Crystallography, Mathematical categories.
Crystalline Symmetries An Informal Mathematical Introduction
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Author : Marjorie Senechal
language : en
Publisher: CRC Press
Release Date : 1990
Crystalline Symmetries An Informal Mathematical Introduction written by Marjorie Senechal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Art categories.
Crystalline Symmetries: an informal mathematical introduction is a guided tour through the maze of mathematical models and classifications that are used today to describe the symmetries of crystals. The mathematical basis of crystallography and the interpretation of The International Tables for X-ray Crystallography are explained in a heuristic and accessible way. In addition to discussing standard crystals, a special feature of this book is the chapter on generalised crystals and the Penrose tile model for the kinds of generalised crystals known as quasicrystals. This fruitful interaction between pure mathematics (symmetry, tilings) and physics should prove invaluable to final year undergraduate/graduate physicists and materials scientists; the reader gets a flavour of the powerful coherence of a group theoretical approach to crystallography. Mathematicians interested in applications of group theory to physical science will also find this book useful.
Geometric Crystallography
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Author : P. Engel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Geometric Crystallography written by P. Engel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Introduction To Crystallography
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Author : Donald E. Sands
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Introduction To Crystallography written by Donald E. Sands and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Science categories.
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.