## Computing methods and the phase problem in X-ray crystal analysis: report |

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### Contents

THE MATHEMATICAL AND COMPUTATIONAL PROBLEMS | 10 |

SYMMETRY MAPS DERIVED FROM THE f SERIES | 29 |

THE APPLICATION OF IMAGE THEORY IN CRYSTAL STRUCTURE | 43 |

Copyright | |

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### Common terms and phrases

Acta Cryst amplitude analogue applied approximation atomic positions atoms axis Buerger calculation cards center of symmetry centro-symmetrical circuits coincident complex computing contour convolution coordinates corresponding cosine crystal structure Crystallographic density function derived diagram diffraction discussed electron density equations Fhkl Fourier coefficients Fourier series Fourier synthesis Fourier transform frequency Harker heavy atom indicated inequalities integral isomorphous kernel MacGillavry machine mathematical matrix method molecule multiplied non-negative number of atoms obtained operation origin panel parameters Patterson function Patterson map Patterson peak peaks Pepinsky permit phase determination phase problem plane points possible present procedure punched reciprocal lattice reciprocal space relations rotation S-FAC sampling scattering Schomaker screw axis shown in Fig signals signs sine solution space group structure determination structure factors summation sweep switches three-dimensional tion translation unit unit cell values vector set weight wheels X-RAC X-ray analysis zero