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Reciprocal crystal and P.B.C.‐vector method. Crystal growth of a‐sulphur
Author(s) -
Follner H.
Publication year - 1983
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.2170180705
Subject(s) - polyhedron , reciprocal lattice , crystal (programming language) , lattice (music) , crystallography , reciprocal , crystal structure , combinatorics , physics , chemistry , condensed matter physics , mathematics , optics , diffraction , computer science , linguistics , philosophy , acoustics , programming language
The morphological lattice of α‐sulphur (F ddd) has coordinates 1/8, 1/8, 0. The reciprocal crystal is a polyhedron with 15 faces and point symmetry 112. The arrangements of the polyhedra parallel to the crystal faces confirm that (100), (101), (010), (011), (111), (113), (001) are F‐faces and (110), (112) S‐faces according to Hartman and Perdok. Under consideration of the extinction rules of the morphological lattice (101) and (011) have to be regarded as S‐faces. The size of the polyhedra faces is proportional to the interaction energy given by Hartman. It will be shown that the face area of the net planes, divided by the number of molecules per growth layer, represent a good approximation to the attachment energy calculated according to Hartman. The average deviation for α‐sulphur is 3%, for olivine and SnJ 4 8.5% and for anthracene 10.5%. The Wulff‐plots correspond fully to the experimental observations.