Fragility: Difference between revisions
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'''Fragility''' | '''Fragility''' | ||
<ref>[http://dx.doi.org/10.1016/0022-3093(85)90334-5 C. A. Angell "Spectroscopy simulation and scattering, and the medium range order problem in glass", Journal of Non-Crystalline Solids '''73''' pp. 1-17 (1985)]</ref> | |||
<ref>[http://dx.doi.org/10.1016/0022-3093(91)90266-9 C. A. Angell "Relaxation in liquids, polymers and plastic crystals - strong/fragile patterns and problems", Journal of Non-Crystalline Solids '''131-133''' pp. 13-31 (1991)]</ref> | <ref>[http://dx.doi.org/10.1016/0022-3093(91)90266-9 C. A. Angell "Relaxation in liquids, polymers and plastic crystals - strong/fragile patterns and problems", Journal of Non-Crystalline Solids '''131-133''' pp. 13-31 (1991)]</ref> | ||
==Fragility parameter== | ==Fragility parameter== | ||
There are various definitions of the fragility parameter. For example, that of Angell<ref>[http://dx.doi.org/10. | There are various definitions of the fragility parameter <ref>[http://dx.doi.org/10.1063/1.1736628 G. Ruocco, F. Sciortino, F. Zamponi, C. De Michele and T. Scopigno "Landscapes and fragilities", Journal of Chemical Physics '''120''' pp. 10666-10680 (2004)]</ref>. For example, that of Angell | ||
(<ref>[http://dx.doi.org/10.1103/PhysRevB.45.10091 Roland Böhmer and C. Austen Angell "Correlations of the nonexponentiality and state dependence of mechanical relaxations with bond connectivity in Ge-As-Se supercooled liquids", Physical Review B '''45''' pp. 10091-10094 (1992)]</ref> | |||
<ref>[http://dx.doi.org/10.1063/1.466117 R. Böhmer, K. L. Ngai, C. A. Angell and D. J. Plazek "Nonexponential relaxations in strong and fragile glass formers", Journal of Chemical Physics '''99''' pp. 4201-4209 (1993)]</ref> | |||
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:<math>m := \left. \frac{d \log_{10} (\eta(T)/\eta_{\infty}) }{d (T_g/T)}\right\vert_{T=T_g}</math> | :<math>m := \left. \frac{d \log_{10} (\eta(T)/\eta_{\infty}) }{d (T_g/T)}\right\vert_{T=T_g}</math> | ||
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<references/> | <references/> | ||
;Related reading | ;Related reading | ||
*[http://dx.doi.org/10.1007/BF02458784 C. A. Angell, P. H. Poole, and J. Shao "Glass-forming liquids, anomalous liquids, and polyamorphism in liquids and biopolymers", Il Nuovo Cimento D '''16''' pp. 993-1025 (1994)] | |||
*[http://dx.doi.org/10.1126/science.267.5206.1924 C. A. Angell "Formation of Glasses from Liquids and Biopolymers", Science '''267''' pp. 1924-1935 (1995)] | |||
*[http://www.pnas.org/content/92/15/6675.abstract C. A. Angell "The old problems of glass and the glass transition, and the many new twists", Proceedings of the National Academy of Sciences of the United States of America '''92''' pp. 6675-6682 (1995)] | |||
*[http://dx.doi.org/10.1038/19042 Kaori Ito, Cornelius T. Moynihan and C. Austen Angell "Thermodynamic determination of fragility in liquids and a fragile-to-strong liquid transition in water", Nature '''398''' pp. 492-495 (1999)] | |||
*[http://dx.doi.org/10.1063/1.4897208 M. Paluch, E. Masiewicz, A. Grzybowski, S. Pawlus, J. Pionteck and Z. Wojnarowska "General rules prospected for the liquid fragility in various material groups and different thermodynamic conditions", Journal of Chemical Physics '''141''' 134507 (2014)] | *[http://dx.doi.org/10.1063/1.4897208 M. Paluch, E. Masiewicz, A. Grzybowski, S. Pawlus, J. Pionteck and Z. Wojnarowska "General rules prospected for the liquid fragility in various material groups and different thermodynamic conditions", Journal of Chemical Physics '''141''' 134507 (2014)] | ||
[[category:Complex systems]] | [[category:Complex systems]] | ||
[[Category: glasses]] | [[Category: glasses]] | ||
Latest revision as of 13:59, 8 October 2014
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Fragility parameter[edit]
There are various definitions of the fragility parameter [3]. For example, that of Angell ([4] [5] ):
References[edit]
- ↑ C. A. Angell "Spectroscopy simulation and scattering, and the medium range order problem in glass", Journal of Non-Crystalline Solids 73 pp. 1-17 (1985)
- ↑ C. A. Angell "Relaxation in liquids, polymers and plastic crystals - strong/fragile patterns and problems", Journal of Non-Crystalline Solids 131-133 pp. 13-31 (1991)
- ↑ G. Ruocco, F. Sciortino, F. Zamponi, C. De Michele and T. Scopigno "Landscapes and fragilities", Journal of Chemical Physics 120 pp. 10666-10680 (2004)
- ↑ Roland Böhmer and C. Austen Angell "Correlations of the nonexponentiality and state dependence of mechanical relaxations with bond connectivity in Ge-As-Se supercooled liquids", Physical Review B 45 pp. 10091-10094 (1992)
- ↑ R. Böhmer, K. L. Ngai, C. A. Angell and D. J. Plazek "Nonexponential relaxations in strong and fragile glass formers", Journal of Chemical Physics 99 pp. 4201-4209 (1993)
- Related reading
- C. A. Angell, P. H. Poole, and J. Shao "Glass-forming liquids, anomalous liquids, and polyamorphism in liquids and biopolymers", Il Nuovo Cimento D 16 pp. 993-1025 (1994)
- C. A. Angell "Formation of Glasses from Liquids and Biopolymers", Science 267 pp. 1924-1935 (1995)
- C. A. Angell "The old problems of glass and the glass transition, and the many new twists", Proceedings of the National Academy of Sciences of the United States of America 92 pp. 6675-6682 (1995)
- Kaori Ito, Cornelius T. Moynihan and C. Austen Angell "Thermodynamic determination of fragility in liquids and a fragile-to-strong liquid transition in water", Nature 398 pp. 492-495 (1999)
- M. Paluch, E. Masiewicz, A. Grzybowski, S. Pawlus, J. Pionteck and Z. Wojnarowska "General rules prospected for the liquid fragility in various material groups and different thermodynamic conditions", Journal of Chemical Physics 141 134507 (2014)