## Vector space: and its application in crystal-structure investigation |

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### Contents

Contents | 1 |

Some early intuitive uses of Patterson maps | 30 |

Further theory of Patterson functions | 41 |

Copyright | |

13 other sections not shown

### Common terms and phrases

Acta Cryst ambiguity axes axis Buerger.3 centrosymmetrical Chapter Coesite column complement structure computed contains contour coordinates corresponding crystal cell crystal structure derived difference Patterson diffraction discussed displaced electron density enantiomorphic example Fhki Fourier synthesis fundamental set Harker diagram Harker section heavy atom homometric image point image-seeking functions implication diagram interatomic vectors inversion peaks lattice line image locations M. J. Buerger matrix method minimum function molecule n-gon non-origin operation origin peak P(xy P(xyO p(xyz p2mm pairs of atoms parallel Patterson function Patterson map Patterson peaks Patterson projection Patterson synthesis peaks due plane group point group polygon product function quadrilateral reciprocal lattice reflection satellites relation rotation peaks satellite peaks screw set of points sheaf shown in Fig solution solving space group substructure sum function superposed superposition symmetrical set symmetrical vectors symmetry elements Table theory tion transformation triangle unsymmetrical values vector set vector space weight x-ray x-ray crystallography