If you are experiencing problems downloading PDF or HTML fulltext, our helpdesk recommend clearing your browser cache and trying again. If you need help in clearing your cache, please click here . Still need help? Email help@ingentaconnect.com

Topological complexity of crystal structures: quantitative approach

$48.00 plus tax (Refund Policy)

Download / Buy Article:


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.

Document Type: Research Article

DOI: http://dx.doi.org/10.1107/S0108767312012044

Affiliations: Crystallography, St Petersburg State University, University Emb. 7/9, St Petersburg, 199034, Russian Federation

Publication date: May 1, 2012

Related content



Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more