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Geometry and Energy of Disclinations in Topologically Disordered Systems
Author(s) -
Richter A.,
Romanov A. E.,
Pompe W.,
Vladimirov V. I.
Publication year - 1984
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221220104
Subject(s) - disclination , dipole , elastic energy , dislocation , condensed matter physics , physics , materials science , geometry , crystallography , liquid crystal , chemistry , quantum mechanics , mathematics
A model for the description of topologically disordered structures is proposed which is characterized by structural units that are odd‐ and even‐member rings in covalently bound materials. The energy of such a system can be calculated by the introduction of line defects, disclinations, and dislocations. Several arrangements of disclinations and their relations to the geometry of the disordered structure are discussed. The calculation of the elastic strain energy is performed in terms of screened disclination elements which are disclination dipoles, disclination quadrupoles, and disclination loops combined with dislocations. The main contribution to the strain energy of the system is given by the self‐energy of these screened elements. Interactions between them are taken into account and result in negligible correction terms if the distance between the screened units is larger than their size. Structural averages over the disordered defect structure are performed by the introduction of short‐range order parameters.