Reciprocal Morphological Lattices and Growth Forms of Crystals

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Abstract
Crystals are based on a morphological lattice, which – as a rule – possesses a higher symmetry than the structureal one. The morphological lattice is a Fourier transform of crystal morphology. The polyhedron resulting from the planes which perpendicularly bisect the lines between all symmetrically equivalent morphological points is referred to as reciprocal crystal. Through a Fourier transform of the reciprocal crystal the crystal space is recovered. In case of simple morphological lattices – the determination of central distances from the reciprocal morphological translation groups is possible here – the crystals can be shown in a Wulff‐plot. The procedure is to be discussed on different examples.