Titlebook: Crystallography; Walter Borchardt-Ott Textbook 19931st edition Springer-Verlag Berlin Heidelberg 1993 Chrystallography.Crystallography.Cry

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Point Groups,As has been noted, the space groups of the Bravais lattices are those with the highest possible symmetry for the corresponding crystal systems. When the lattice points are now replaced by actual atoms, ions or molecules, they must themselves possess at least the full symmetry of the lattice point if the space group is to remain unchanged.

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Space Groups,The 32 point groups are the symmetry groups of many molecules and of all crystals, so long as only the morphology is considered. Space groups give the symmetry not only of crystal lattices, but also of crystal structures.

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Fundamentals of Crystal Chemistry,Crystal chemistry is concerned with the crystal structure of the elements and of chemical compounds. It attempts to explain why particular types of crystal structures arise under specific conditions. It is, however, still only possible to understand how relatively simple crystal structures arise from the atoms that make them up.

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Studies of Crystals by X-Ray Diffraction,Since the wavelengths of X-rays and the lattice parameters of crystals are of the same order of magnitude, X-rays are diffracted by crystal lattices. It was from the discovery of this effect in 1912 by . that we may date the beginning of modern crystallography. Only then did it become possible to determine the structures of crystals.

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Solutions to the Exercises,The Solutions to a few exercises are incomplete, as the drawings would require too much space.

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Textbook 19931st editionymmetry andcrystal formsare treated. Much emphasis is placed on thecorrespondence between pointgroups and space groups. Thesections on crystal chemistry and X-raydiffraction areintended as an introduction to these fields.

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olecular symmetry andcrystal formsare treated. Much emphasis is placed on thecorrespondence between pointgroups and space groups. Thesections on crystal chemistry and X-raydiffraction areintended as an introduction to these fields.978-3-662-00608-5

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The 14 Bravais Lattices,ces which occur are special in that they have special features, such as unit cell dimensions (lattice parameters) which are equal in two or three directions or angles between cell edges with particular values, such as 60 °, 90 °, 120 ° or 54.73°. The general lattice has no point symmetry elements ex