Borate Glasses pp 167-181 | Cite as

Topological Considerations of Triangularly Connected Networks

  • Alfred R. Cooper
Part of the Materials Science Research book series (MSR, volume 12)


The importance of topology to glass formation was recognized by Zachariasen. While he never used the word explicitly, his famous rules for glass formation (1932) are all topological.(1) They relate solely to the manner in which the atoms are connected. His first three rules appear to be the necessary and sufficient condition to permit formation of a non-crystalline network from perfectly regular polyhedral coordination shells of oxygen atoms. (2) While the determination of chain length distribution of alkali phosphate glasses (3) was perhaps the first experimental measurement of topologic properties of a glass, interest with topological consideration of amorphous networks remains active, particularly in the area of metallic and chalcogenide glasses. (4)


Closure Condition Equilateral Triangle Membered Ring Ring Size Ring Angle 
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Copyright information

© Plenum Press, New York 1978

Authors and Affiliations

  • Alfred R. Cooper
    • 1
  1. 1.Case Western Reserve UniversityClevelandUSA

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