Premium
Geometrical Aspects of the Patterns of Conduction Paths in Fast Ion Conductors
Author(s) -
Fischer W.
Publication year - 1986
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.2170210413
Subject(s) - electrical conductor , thermal conduction , ion , simple (philosophy) , property (philosophy) , dirichlet distribution , geometry , materials science , mathematics , mathematical analysis , statistical physics , physics , composite material , quantum mechanics , philosophy , epistemology , boundary value problem
A method for a straightforward calculation of geometrically privileged conduction paths in fast ion conductors is presented. It makes use of a special property of Dirichlet domains, namely that their vertices and edges define all polyhedral voids and all least narrow connecting passages within a rigid framework. The results of the procedure are exhaustive in the geometrical sense and may be used as a basis for physical investigations. The method is illustrated by two simple examples, α‐AgI and sodium β‐alumina. Restrictions are discussed.