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Morphological Lattice and Reciprocal Crystal. Remarks on Morphology of Barite and Cerussite
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.2170170504
Subject(s) - reciprocal lattice , reciprocal , crystallography , lattice (music) , plane (geometry) , mathematics , chemistry , materials science , condensed matter physics , mineralogy , geometry , physics , optics , philosophy , linguistics , diffraction , acoustics
The relationship between partitions of the three‐dimensional space into Dirichlet domains of morphological points and the face forms observed on crystals will here be examined. Dirichlet domains, the central points of which are to be found on the exterior net plane, can be connected two or one‐dimensionally through face‐sharing or they occur as isolated groups. If the crystal faces are arranged according to the proportion of these surface polyeder on the total surface of the net plane, the order of rank of barite and cerussite agree excellently with the experimental observations. The packings of space filling polyeder allow conclusions on growth mechanisms.