Topological complexity of crystal structures: quantitative approach
The topological complexity of a crystal structure can be quantitatively evaluated using complexity measures of its quotient graph, which is defined as a projection of a periodic network of atoms and bonds onto a finite graph. The Shannon information‐based measures of complexity such as topological information content, IG , and information content of the vertex‐degree distribution of a quotient graph, I vd, are shown to be efficient for comparison of the topological complexity of polymorphs and chemically related structures. The IG measure is sensitive to the symmetry of the structure, whereas the I vd measure better describes the complexity of the bonding network.
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Document Type: Research Article
Affiliations: Crystallography, St Petersburg State University, University Emb. 7/9, St Petersburg, 199034, Russian Federation
Publication date: 01 May 2012