Crystallographic Groups


Crystallographic Groups
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Crystallographic Groups


Crystallographic Groups
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Author : T. Janssen
language : en
Publisher: North-Holland
Release Date : 1973

Crystallographic Groups written by T. Janssen and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.




Lectures On Crystallographic Groups


Lectures On Crystallographic Groups
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Author : Birger Iversen
language : en
Publisher:
Release Date : 1995

Lectures On Crystallographic Groups written by Birger Iversen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Crystallography, Mathematical categories.




Geometry Of Crystallographic Groups


Geometry Of Crystallographic Groups
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Author : Andrzej Szczepański
language : en
Publisher: World Scientific
Release Date : 2012

Geometry Of Crystallographic Groups written by Andrzej Szczepański and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


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.



Symmetry Relationships Between Crystal Structures


Symmetry Relationships Between Crystal Structures
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Author : Ulrich Müller
language : en
Publisher: OUP Oxford
Release Date : 2013-04-04

Symmetry Relationships Between Crystal Structures written by Ulrich Müller and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-04 with Science categories.


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.



Crystallographic Groups And Their Generalizations


Crystallographic Groups And Their Generalizations
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Author : Paul Igodt
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

Crystallographic Groups And Their Generalizations written by Paul Igodt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This volume contains articles written by the invited speakers and workshop participants from the conference on "Crystallographic Groups and Their Generalizations", held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.



Representation Of Crystallographic Space Groups


Representation Of Crystallographic Space Groups
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Author : Kovalev
language : en
Publisher: CRC Press
Release Date : 1993-12-08

Representation Of Crystallographic Space Groups written by Kovalev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-08 with Science categories.


This new edition of Kovalev's renowned text (first English edition, 1965) presents all the irreducible representations (IRs) and irreducible corepresentations (ICRs) for the 230 crystallographic space groups. In order to give readers the opportunity of representing generally the entire crystallographic symmetry, the method of inducing an IR of the local groups is presented first, and then complete lists of induced representations (InRs) which allow the calculation of the microstructure of any crystal (already known or not yet discovered, but geometrically not forbidden) in any physical question. For research students and researchers in theoretical aspects of solid state physics, crystallography, and space group theory. Translated from the second Russian edition of 1987. Annotation copyright by Book News, Inc., Portland, OR



Crystallographic And Metacrystallographic Groups


Crystallographic And Metacrystallographic Groups
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Author : W. Opechowski
language : en
Publisher: North Holland
Release Date : 1986

Crystallographic And Metacrystallographic Groups written by W. Opechowski and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.




Algebraic K Theory Of Crystallographic Groups


Algebraic K Theory Of Crystallographic Groups
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Author : Daniel Scott Farley
language : en
Publisher: Springer
Release Date : 2014-08-27

Algebraic K Theory Of Crystallographic Groups written by Daniel Scott Farley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-27 with Mathematics categories.


The Farrell-Jones isomorphism conjecture in algebraic K-theory offers a description of the algebraic K-theory of a group using a generalized homology theory. In cases where the conjecture is known to be a theorem, it gives a powerful method for computing the lower algebraic K-theory of a group. This book contains a computation of the lower algebraic K-theory of the split three-dimensional crystallographic groups, a geometrically important class of three-dimensional crystallographic group, representing a third of the total number. The book leads the reader through all aspects of the calculation. The first chapters describe the split crystallographic groups and their classifying spaces. Later chapters assemble the techniques that are needed to apply the isomorphism theorem. The result is a useful starting point for researchers who are interested in the computational side of the Farrell-Jones isomorphism conjecture, and a contribution to the growing literature in the field.



Crystallographic Groups Of Four Dimensional Space


Crystallographic Groups Of Four Dimensional Space
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Author : Harold Brown
language : en
Publisher: John Wiley & Sons
Release Date : 1978-08-14

Crystallographic Groups Of Four Dimensional Space written by Harold Brown and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-08-14 with Science categories.


This book describes two-, three-, and four-dimensional crystallographic groups, primarily by the use of tables. Complete groups of four-dimensional tables are presented for the first time. The description of the four-dimensional crystallographic groups provides a clearer insight into dimension-independent crystallographic properties and thus a deeper understanding of crystallography in two and three dimensions.



Geometry Of Crystallographic Groups Second Edition


Geometry Of Crystallographic Groups Second Edition
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Author : Andrzej Szczepanski
language : en
Publisher:
Release Date : 2024-09-30

Geometry Of Crystallographic Groups Second Edition written by Andrzej Szczepanski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-30 with categories.


It is eleven years since the First Edition of Geometry of Crystallographic Groups appeared. This Second Edition expands on the first, providing details of a new result of automorphism of crystallographic groups, and on Hantzsche-Wendt groups/manifolds.Crystalographic groups are groups which act via isometries on some n-dimensional Euclidean space, so-named because in three dimensions they occur as the symmetry groups of a crystal. There are short introductions to the theme before every chapter, and a list of conjectures and open projects at the end of the book.Geometry of Crystallographic Groups is suitable as a textbook for students, containing basic theory of crystallographic groups. It is also suitable for researchers in the field, discussing in its second half more advanced and recent topics.