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Rigidity Constraints in Amorphization of Multiply-Polytopic Multiply-Connected Ceramic Structures

Published online by Cambridge University Press:  15 February 2011

Linn W. Hobbs ,
C. Esther Jesurum  and
Bonnie Bergert
Linn W. Hobbs
Affiliation:
Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139-4307
C. Esther Jesurum
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307
Bonnie Bergert
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307 Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139-4307
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Abstract

The ease with which ceramic structures amorphize under displacive radiation is considered from the point of view of connectivity and the consequent topological constraints which impose rigidity on the original atomic arrangement. These constraints define a measure of topological freedom to rearrange which has been shown previously to correlate with measured energy deposition density during ion-induced amorphization. That earlier assessment of topological freedoms is extended here to include more complex connectivities and is shown to be representable in an analytical form which reflects the progressive destruction of topological constraints.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 540: Symposium N / Microstructural Processes in Irradiated Materials , 1998 , 717
Copyright
Copyright © Materials Research Society 1999

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