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Materials | Crystallography


Borchardt-Ott, Walter (Ed.)

Translated by Gould, R.O.

2nd ed. 1995, XIII, 307p. 261 illus..


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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 that symmetry operations, Bravais lattices, space groups and point groups are all developed. The symmetry of molecules is described including the resulting non-crystallographic point groups. Crystal forms and the relationship between point groups and physical properties are 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.

Content Level » Graduate

Keywords » Chrystallography - Crystals and Molecules - Gitter - Kristallchemie - Kristalle und Moleküle - Point and Space Groups - Punkt- und Raumgruppen - Space Lattice - Symmetrie - crystal - crystal chemistry - crystal morphology - crystallography - point groups - space groups

Related subjects » Geology - Inorganic Chemistry - Materials - Physical Chemistry

Table of contents 

1 The Crystalline State.- Exercises.- 2 The Lattice and Its Properties.- 2.1 Line Lattice.- 2.2 Plane Lattice.- 2.3 Space Lattice.- 2.4 The Designation of Points, Lines, and Planes in a Space Lattice.- 2.4.1 The Lattice Point uvw.- 2.4.2 Lattice Lines [uvw].- 2.4.3 Lattice Planes (hkl).- 2.5 The Zonal Equation.- Exercises.- 3 Crystal Structure.- Exercises.- 4 Morphology.- 4.1 Relationship Between Crystal Structure and Morphology.- 4.2 Fundamentals of Morphology.- 4.3 Crystal Growth.- 4.4 The Stereographic Projection.- 4.5 The Reflecting Goniometer.- 4.6 The Wulff Net.- 4.7 Indexing of a Crystal.- 4.8 The Gnomonic and Orthographic Projections.- Exercises.- 5 Principles of Symmetry.- 5.1 Rotation Axes.- 5.2 The Mirror Plane.- 5.3 The Inversion Centre.- 5.4 Compound Symmetry Operations.- 5.4.1 Rotoinversion Axes.- 5.4.2 Rotoreflection Axes.- Exercises.- 6 The 14 Bravais Lattices.- 6.1 The Primitive Space Lattices (P-Lattices).- 6.2 The Symmetry of the Primitive Lattices.- 6.3 The Centred Lattices.- 6.4 The Symmetry of the Centred Lattices.- Exercises.- 7 The Seven Crystal Systems.- 8 Point Groups.- 8.1 The 32 Point Groups.- 8.2 Crystal Symmetry.- 8.2.1 Crystal Forms.- 8.3 Molecular Symmetry.- 8.4 Determination of Point Groups.- 8.5 Enantiomorphism.- 8.6 Point Groups and Physical Properties.- 8.6.1 Optical Activity.- 8.6.2 Piezoelectricity.- 8.6.3 Pyroelectricity.- 8.6.4 Molecular Dipole Moments.- Exercises.- 9 Space Groups.- 9.1 Glide Planes and Screw Axes.- 9.1.1 Glide Planes.- 9.1.2 Screw Axes.- 9.2 The 230 Space Groups.- 9.3 Properties of Space Groups.- 9.4 International Tables for Crystallography.- 9.5 Space Group and Crystal Structure.- Exercises.- 10 The Interrelationship of Point Groups and Space Groups.- Exercise.- 11 Fundamentals of Crystal Chemistry.- 11.1 Coordination.- 11.2 Metal Structures.- 11.3 Structures of Noble Gases and Molecules.- 11.4 Ionic Structures.- 11.4.1 Ionic Radii.- 11.4.2 Octahedral Coordination [6].- 11.4.3 Cubic Coordination [8].- 11.4.4 Tetrahedral Coordination [4].- 11.5 Covalent Structures.- 11.6 Isotypes, Solid Solutions and Isomorphism.- 11.7 Polymorphism.- 11.8 Literature on Crystal Structures.- Exercises.- 12 Studies of Crystals by X-Ray Diffraction.- 12.1 The Bragg Equation.- 12.2 The Debye-Scherrer Method.- 12.3 The Reciprocal Lattice.- 12.4 The Laue Groups.- 12.5 The Determination of a Crystal Structure.- Exercises.- 13 Crystal Defects.- 13.1 Point Defects.- 13.2 Line Defects.- 13.3 Plane Defects.- 14 Appendix.- 14.1 Symbols for Crystallographic Items.- 14.2 Symmetry Elements.- 14.3 Calculation of Interatomic Distances and Angles in Crystal Structures.- 14.4 Crystal Forms.- 15 Solutions to the Exercises.- References.

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