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Structure in Amorphous Network Solids and its Evidence in Electron Diffraction

Published online by Cambridge University Press:  02 July 2020

Linn W. Hobbs*
Affiliation:
Department of Materials Science & Engineering, Massachusetts Institute of Technology, Cambridge, MA02139-4307
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A cubic millimeter (10-9 m3) of condensed matter contains typically ∼1020 atoms, and a complete solution to the general structure problem requires finding ∼3 ×l020 atom coordinates. For crystals, long-range translational periodicity immensely simplifies the structure elucidation problem to something like a 101-102 problem (further reduced by the symmetry accompanying orientational order), because only the contents of the unit cell (< 100 atoms for most inorganic structures) and the unit cell geometry need be determined. Amorphous is the epithet traditionally bestowed on structures with neither orientation nor translational order, a more precise term for which is topologically disordered [1], A structural average for an amorphous solid can be established with a good many fewer than 1020 atoms, because many atom-atom correlations nevertheless exist in topologically-disordered structures due to bonding, packing and associated topological constraints. In fact, assemblies with less than 200 atoms can usually adequately represent characteristic structural topologies [1].

Type
Nanophase and Amorphous Materials
Copyright
Copyright © Microscopy Society of America

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References

References:

1.Hobbs, L. W., J. Non-Cryst. Solids 192&193 (1995) 79.CrossRefGoogle Scholar
2.Mozzi, R. L. and Warren, B. E., J. Appl. Cryst. 2 (1969) 164.CrossRefGoogle Scholar
3.Wright, A. C., in: Experimental Techniques in Glass Science, Ceramic Transactions (1992), Ch. 8.Google Scholar
4.Cockayne, D. J. H. and MacKenzie, D. R., Acta Cryst. A44(19988) 870.CrossRefGoogle Scholar
5.Qin, L. C. and Hobbs, L. W., J. Non-Cryst. Solids 192&193 (1995) 456.CrossRefGoogle Scholar
6.Hobbs, L. W., Jesurum, C. E., Pulim, V. and Berger, B, “Local topology of silica networks,” Phil. Mag. A (in press, 1998).Google Scholar
7.Bell, D. C., Garratt-Reed, A. J. and Hobbs, L. W., these proceedings; MRS Symp. Proc. 504 (1998).Google Scholar