Point Groups Space Groups Crystals Molecules

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Point Groups, Space Groups, Crystals, Molecules

Author : R. Mirman
Publisher : World Scientific
Page : 768 pages
File Size : 51,8 Mb
Release : 1999
Category : Science
ISBN : 9810237324

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Point Groups, Space Groups, Crystals, Molecules by R. Mirman Pdf

This book is by far the most comprehensive treatment of point and space groups, and their meaning and applications. Its completeness makes it especially useful as a text, since it gives the instructor the flexibility to best fit the class and goals. The instructor, not the author, decides what is in the course. And it is the prime book for reference, as material is much more likely to be found in it than in any other book; it also provides detailed guides to other sources.Much of what is taught is folklore, things everyone knows are true, but (almost?) no one knows why, or has seen proofs, justifications, rationales or explanations. (Why are there 14 Bravais lattices, and why these? Are the reasons geometrical, conventional or both? What determines the Wigner-Seitz cells? How do they affect the number of Bravais lattices? Why are symmetry groups relevant to molecules whose vibrations make them unsymmetrical? And so on). Here these analyses are given, interrelated, and in-depth. The understanding so obtained gives a strong foundation for application and extension. Assumptions and restrictions are not merely made explicit, but also emphasized.In order to provide so much information, details and examples, and ways of helping readers learn and understand, the book contains many topics found nowhere else, or only in obscure articles from the distant past. The treatment is (often completely) different from those elsewhere. At least in the explanations, and usually in many other ways, the book is completely new and fresh. It is designed to inform, educate and make the reader think. It strongly emphasizes understanding.The book can be used at many levels, by many different classes of readers ? from those who merely want brief explanations (perhaps just of terminology), who just want to skim, to those who wish the most thorough understanding.

Symmetry of Crystals and Molecules

Author : Mark Ladd
Publisher : OUP Oxford
Page : 440 pages
File Size : 40,6 Mb
Release : 2014-02-20
Category : Science
ISBN : 9780191649912

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Symmetry of Crystals and Molecules by Mark Ladd Pdf

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).

Space Groups for Solid State Scientists

Author : Michael Glazer,Gerald Burns
Publisher : Academic Press
Page : 432 pages
File Size : 46,6 Mb
Release : 2013-01-03
Category : Science
ISBN : 9780123946157

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Space Groups for Solid State Scientists by Michael Glazer,Gerald Burns Pdf

This comprehensively revised – essentially rewritten – new edition of the 1990 edition (described as "extremely useful" by MATHEMATICAL REVIEWS and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups. Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice – useful for instance in symmetry of domain walls in solids

Symmetry in Molecules and Crystals

Author : Marcus Frederick Charles Ladd
Publisher : Unknown
Page : 284 pages
File Size : 46,5 Mb
Release : 1989
Category : Science
ISBN : MINN:319510009787311

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Symmetry in Molecules and Crystals by Marcus Frederick Charles Ladd Pdf

Group Theoretical Methods and Applications to Molecules and Crystals

Author : Shoon K. Kim
Publisher : Cambridge University Press
Page : 512 pages
File Size : 44,8 Mb
Release : 2005-09-29
Category : Science
ISBN : 0521020387

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Group Theoretical Methods and Applications to Molecules and Crystals by Shoon K. Kim Pdf

This book explains the basic aspects of symmetry groups as applied to problems in physics and chemistry using a unique approach developed by the author. This approach includes working out symmetry groups and their representations, eliminating the undue abstract nature of group theoretical methods. The author has systematized the wealth of knowledge on symmetry groups that has accumulated in the century since Fedrov discovered the 230 space groups. He reconstructs space groups, unitary as well as antiunitary, based on the algebraic defining relations of the point groups. This work will be of great interest to graduate students and professionals in solid state physics, chemistry, mathematics, geology and those who are interested in magnetic crystal structures.

Structure Determination by X-Ray Crystallography

Author : M. Ladd
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461579304

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Structure Determination by X-Ray Crystallography by M. Ladd Pdf

Crystallography may be described as the science of the structure of materi als, using this word in its widest sense, and its ramifications are apparent over a broad front of current scientific endeavor. It is not surprising, therefore, to find that most universities offer some aspects of crystallography in their undergraduate courses in the physical sciences. It is the principal aim of this book to present an introduction to structure determination by X-ray crystal lography that is appropriate mainly to both final-year undergraduate studies in crystallography, chemistry, and chemical physics, and introductory post graduate work in this area of crystallography. We believe that the book will be of interest in other disciplines, such as physics, metallurgy, biochemistry, and geology, where crystallography has an important part to play. In the space of one book, it is not possible either to cover all aspects of crystallography or to treat all the subject matter completely rigorously. In particular, certain mathematical results are assumed in order that their applications may be discussed. At the end of each chapter, a short bibliog raphy is given, which may be used to extend the scope of the treatment given here. In addition, reference is made in the text to specific sources of information. We have chosen not to discuss experimental methods extensively, as we consider that this aspect of crystallography is best learned through practical experience, but an attempt has been made to simulate the interpretive side of experimental crystallography in both examples and exercises.

Crystallography

Author : Walter Borchardt-Ott
Publisher : Springer Science & Business Media
Page : 314 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783662006085

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Crystallography by Walter Borchardt-Ott Pdf

As a self-study guide, course primer or teaching aid, Bor- chardt-Ott's Crystallography is the perfect textbook for students and teachers alike. In fact, it can be used by chemists, mineralogists, physicists and geologists. Based on the author's more than 20 years of teaching experience, the book has numerous line drawings designed especially for the text and a large number of exercises - with solutions - at the end of each chapter. The fourth edition of the original German text has been translated into English for an international readership. The heart of the book is firmly fixed in geometrical crystallography. It is from the concept of the space lattice that symmetry operations, Bravais lattices, space groups and point groups are all developed. Molecular symmetry and crystal formsare treated. Much emphasis is placed on the correspondence between point groups and space groups. The sections on crystal chemistry and X-ray diffraction are intended as an introduction to these fields.

Space Groups and Their Representations

Author : George F. Koster
Publisher : Unknown
Page : 84 pages
File Size : 52,8 Mb
Release : 1964
Category : Group theory
ISBN : LCCN:11902445

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Space Groups and Their Representations by George F. Koster Pdf

Symmetry Relationships between Crystal Structures

Author : Ulrich Müller
Publisher : OUP Oxford
Page : 352 pages
File Size : 50,8 Mb
Release : 2013-04-04
Category : Science
ISBN : 9780191648809

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Symmetry Relationships between Crystal Structures by Ulrich Müller Pdf

In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.

Crystallography

Author : Walter Borchardt-Ott
Publisher : Springer Science & Business Media
Page : 316 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642577543

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Crystallography by Walter Borchardt-Ott Pdf

As a self-study guide, course primer or teaching aid, Borchardt-Ott's Crystallography is the perfect textbook for students and teachers alike. In fact, it can be used by crystallographers, chemists, mineralogists, geologists and physicists. Based on the author's more than 25 years of teaching experience, the book has numerous line drawings designed especially for the text and a large number of exercises - with solutions - at the end of each chapter. This 2nd edition is the translation of the fifth German edition. The heart of the book is firmly fixed in geometrical crystallography. It is from the concept of the space lattice

Numerical Problems in Crystallography

Author : M. A. Wahab
Publisher : Springer Nature
Page : 397 pages
File Size : 54,6 Mb
Release : 2021-01-22
Category : Science
ISBN : 9789811597541

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Numerical Problems in Crystallography by M. A. Wahab Pdf

This book aims at enhancing the understanding of topics in crystallography through solving numerical problems. Designed into nine chapters on major topics in crystallography, the book deals with more than 600 carefully selected solved examples, problems, and multiple-choice questions. Unit cell composition, construction and calculations, Miller indices, structure factor calculations, and X-ray diffraction methods are some of the many useful topics discussed in this book. Each chapter begins with a brief theoretical explanation of the topic followed by solved numerical examples for further clarity on the subject. The topic “crystallography” is interdisciplinary in nature. Its rudimentary knowledge, therefore, is essential to the beginners in physics, chemistry, mathematics, molecular biology, geology, metallurgy, and particularly materials science and mineralogy. This book also is of immense value to senior undergraduate and graduate students of physics, chemistry, and other basic sciences.