## Introduction to crystal geometry |

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### Contents

Translational order | 10 |

The point groups | 31 |

Contents Chapter 7 Application of pointgroup symmetries to crystals | 53 |

Copyright | |

5 other sections not shown

### Common terms and phrases

4-fold axis angle atoms called CD CD CD cell edges Chapter coordinate system corresponding crystal faces crystal geometry Crystal Space Crystal Space group crystal systems crystallographic point groups development in class diagram Dihexagonal dipyramid Ditetragonal Ditrigonal duplicate Enantiomorphic forms Example of form f f f form development glide plane hexagonal system hexagonal trapezohedron homogeneous pattern illustrated in Fig improper rotations indices inversion center isogonal space groups lattice point lattice translation lattice type metries mirror monoclinic motif units n-fold Oh Oh Oh origin orthogonal orthorhombic parallel Pinacoid plane lattices point-group symmetries posi position by symmetry primitive cell proper rotations pyramid Repetition represented result of combining rhombohedron rotation axis rotoinversion Schoenflies screw axes second sort shown in Fig space groups isogonal space lattices Special positions symmetrical set symmetry elements symmetry operations tetragonal tions of symmetry transformations translation component trapezohedron triclinic trigonal Trigonal trapezohedron