Premium
Reciprocal Morphological Lattices and Growth Forms of Crystals
Author(s) -
Follner H.
Publication year - 1982
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170171215
Subject(s) - reciprocal lattice , reciprocal , fourier transform , lattice (music) , perpendicular , crystal (programming language) , polyhedron , crystal structure , crystallography , translation (biology) , condensed matter physics , materials science , mathematics , physics , optics , geometry , chemistry , mathematical analysis , diffraction , computer science , philosophy , linguistics , programming language , biochemistry , messenger rna , acoustics , gene
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.