Skip to main content

Topological complexity of crystal structures: quantitative approach

Buy Article:

$43.00 plus tax (Refund Policy)

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.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

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

Publication date: 01 May 2012

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect 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