Layer groups, scanning tables and the structure of domain walls

Abstract
Symmetry of possible domain walls of orientations (111) and (100) in fulleren is considered as an example of the use of scanning tables which should appear in a scheduled Vol. E: “Subperiodic Groups” of the International Tables for Crystallography. Fullerene molecules have icosahedral symmetry. Possible orientation states of molecules of C 60, compatible with the symmetry Pa , are those in which one of the three-fold axes of icosahedron coincides with one of the cubic threefold axes. The orientation in each position is characterized by an angle ø by which it deviates from the orientation in which the icosahedral mirror planes passing through the axes also coincide with respective cubic mirror planes. Domain states and domain pairs are described in terms of these orientations. There exist only two sets of equivalent domain pairs; a translational pair with symmetry Cmce and a rotational pair with symmetry R m. Sectional layer groups of these space symmetries are determined with use of scanning tables. These layer groups determine the site point symmetries in respective walls and hence the possible orientation states of C 60 molecules within the wall as well as their modulation towards the region of domain states.
Description
Subject(s)
Fullerene, Scanning group, Scanning tables, Structure of domain walls
Citation
ISSN
0015-0193
ISBN
Collections