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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>
 
<ref>[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)]</ref>
<ref>[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)]</ref>
<ref>[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)]</ref>


==Fragility parameter==
==Fragility parameter==
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
There are various definitions of the fragility parameter. For example, that of  Angell<ref>[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)]</ref>
(<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>
(Eq. 1 in <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>):
<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>
):
:<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]]
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