## Crystallography: An IntroductionAs 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 3rd edition is the translation of the seventh German edition with new chapters focused on crystal chemistry and x-ray diffraction methods. |

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### Contents

2 | |

3 | |

9 | |

4 Crystal Structure | 23 |

5 Morphology | 29 |

6 Principles of Symmetry | 60 |

7 The 14 Bravais Lattices | 75 |

8 The Seven Crystal Systems | 119 |

11 Symmetry Groups | 222 |

12 Fundamentals of Crystal Chemistry | 245 |

13 Studies of Crystals by XRay Diffraction | 277 |

14 Crystal Defects | 293 |

15 Appendix | 301 |

16 Solutions to the Exercises | 321 |

346 | |

349 | |

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### Common terms and phrases

2-fold axes angle asymmetric face unit atoms Berlin Heidelberg 2011 bonding Borchardt-Ott Bravais lattices corresponding crystal faces crystal forms crystal in Fig crystal structure crystal system crystallographic axes Crystallography cube cubic closest packing diffraction ditetragonal dipyramid edges equation equivalent points Exercise face symmetry Figure given gives glide planes highest symmetry intersection inversion center ionic ions lattice planes lattice point lattice translation lines mirror plane molecules monoclinic morphology multiplicity NaCl normal octahedron orthorhombic packing efficiency perpendicular plane lattice point group point symmetry poles polyhedra projection on x,y,0 RA/RX reciprocal lattice reflection result rotation axis rotoinversion rotoinversion axes Schönflies symbols screw axes Sect set of lattice shown in Fig shows solid solution space group space group symbol space lattice sphere stereogram stereographic projection symmetry directions symmetry elements symmetry operations Symmetry rule Table tetragonal prism tetragonal pyramid Triclinic trigonal twin unit cell unit mesh vector zone circle