Home Ring statistics

Ring statistics - Size of the rings

E-mail Print
Article Index
Ring statistics
Size of the rings
Description of a network using ring statistics - Existing tools
Description of a network using ring statistics - The new R.I.N.G.S. code method
All Pages

Size of the rings

There are two possibilities for the numbering of rings. On the one hand, one can use the total number of nodes of the ring, therefore a N-membered ring is a ring containing N nodes.
One the other hand, one can use the number of network forming nodes (ex: Si atoms in SiO2 and Ge atoms in GeS2 which are the atoms of highest coordination in these materials) an N-membered ring is therefore a ring containing 2×N nodes. For crystals and SiO2 -like glasses he second and mostly used method is satisfactory.

Nevertheless the first method has to be used in the case of chalcogenide liquids and glasses in order to count rings with homopolar bonds (ex: Ge-Ge and S-S bonds in GeS2) - See "bond defects in ring statistics" for further details.

From a theoretical point of view it is possible to obtain an idea of the maximum size ring could have in the network.
This theoretical maximum size will depend on the properties of the disordered system studied as well as on the criterion used to define a ring.


Last Updated on Wednesday, 10 November 2010 11:20  

 Latest version

RINGS Last version logo
A new version of the RINGS code has been released !

 Mailing List

Mailing list
Join the RINGS code mailing list !

 Hosted by

Get rings-code at SourceForge.net. Fast, secure and Free Open Source software downloads