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    Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

    Symmetry Relationships between Crystal Structures by Müller, Ulrich; de la Flor, Gemma;

    Applications of Crystallographic Group Theory in Crystal Chemistry

    Sorozatcím: International Union of Crystallography Texts on Crystallography; 24;

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    A termék adatai:

    • Kiadás sorszáma 2
    • Kiadó OUP Oxford
    • Megjelenés dátuma 2024. november 25.

    • ISBN 9780192858320
    • Kötéstípus Keménykötés
    • Terjedelem400 oldal
    • Méret 252x194x26 mm
    • Súly 1010 g
    • Nyelv angol
    • Illusztrációk 189 illustrations
    • 665

    Kategóriák

    Rövid leírás:

    An essential property of crystalline solids are their symmetries, which are covered by mathematical groups called space groups. This book explains the corresponding mathematical tools and how the space groups can be used to make evident the relationships between crystal structures and to analyse physical phenomena such as structural transitions.

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    Hosszú leírás:

    In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of particular importance. Part I 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 II 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 the 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 chemical reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. Part III delves further into some specific topics, namely the isomorphic subgroups of space groups, the theory of phase transitions, and computer programs dedicated to crystallographic group theory. In this new edition, several topics have been extended to cover the latest scientific findings, a new chapter has been added dealing with pertinent computer programs, and references have been updated.

    Review from previous edition Here we have a rigorous, carefully checked and polished text which, with its numerous examples and exercises, also perfectly fits the purpose of self-study ... This is a book that every crystallographer taking seriously their job should have on their shelf.

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    Tartalomjegyzék:

    Introduction
    Part I - Crystallographic Foundations
    Basics of crystallography, part 1
    Mappings
    Basics of crystallography, part 2
    Group theory
    Basics of crystallography, part 3
    Subgroups and supergroups of point and space groups
    Conjugate subgroups and normalizers of space groups
    Equivalent descriptions of crystal structures and chirality
    Part II - Symmetry Relations between Space Groups as a Tool to Disclose Connections between Crystal Structures
    How to handle space groups
    The group-theoretical presentation of crystal-chemical relationships
    Symmetry relations between related crystal structures
    Pitfalls when setting up group-subgroup relations
    Derivation of crystal structures from closest packings of spheres
    Crystal structures of molecular compounds
    Symmetry relations at phase transitions
    Topotactic reactions
    Group-subgroup relations as an aid for structure determination
    Prediction of possible structure types
    Historical remarks
    Part III - Widening Excurses to Special Topics
    Isomorphic subgroups
    On the theory of phase transitions
    Symmetry species
    The Bilbao Crystallographic Server
    Appendices

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