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2011 | OriginalPaper | Buchkapitel

2. Heat Capacity and Entropy Functions in Strong and Fragile Glass-Formers, Relative to Those of Disordering Crystalline Materials

verfasst von : C. Austen Angell

Erschienen in: Glassy, Amorphous and Nano-Crystalline Materials

Verlag: Springer Netherlands

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Abstract

The glassy state problem is often separated into two major components [1, 2]. One of these concerns the reasons that glasses form in the first place, and deals with the circumstance that glasses are usually metastable with respect to crystals so that crystallization must be avoided. The second deals with the question of how liquids behave when crystals do not form, and it is with this component that we are concerned in this chapter. Here the central phenomenon with which we must deal, in seeking to understand vitrification, is the heat capacity function and the change in that function that accompanies the freezing in of the disordered state. This phenomenon is illustrated in Fig. 2.1 for a typical molecular liquid, 2-pentene vitrified by both liquid cooling and by vapor deposition [3].

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Vorheriges Kapitel Introduction: Some Essential Attributes of Glassiness Regarding the Nature of Non-crystalline Solids

Nächstes Kapitel Vibration Forms in the Vicinity of Glass Transition, Structural Changes and the Creation of Voids When Assuming the Role of Polarizability

Debenedetti PG (1976) Metastable liquids: concepts and principles. Princeton University Press, Princeton, NJ

Angell CA (2008) Glassformers and viscous liquid slowdown since David Turnbull: enduring puzzles and new twists (text of Turnbull lecture). MRS Bull 33:545–555CrossRef

Takeda K, Yamamuro O, Oguni M, Suga H (1995) Calorimetric study on structural relaxation of 1-pentene in vapor-deposited and liquid-quenched glassy states. J Phys Chem 99:1602–1607CrossRef

Angell CA (2008) Insights into phases of liquid water from study of its unusual glass-forming properties. Science 319:582–587CrossRef

Debenedetti PG, Stillinger FH (2001) Supercooled liquids and the glass transition. Nature 410:259–267CrossRef

Angell CA (1995) Formation of glasses from liquids and biopolymers. Science 267:1924–1935CrossRef

Cohen MH, Turnbull D (1959) Molecular transport in liquids and glasses. J Chem Phys 31:1164–1169CrossRef

Adam G, Gibbs JH (1965) On temperature dependence of cooperative relaxation properties in glass-forming liquids. J Chem Phys 43:139–146CrossRef

Dyre JC, Olsen NB, Christensen T (1996) Local expansion model for viscous-flow activation energies of glassforming molecular liquids. Phys Rev B 53:2171–2174CrossRef

10.

Moynihan CT, Angell CA (2000) Bond lattice or excitation model analysis of the configurational entropy of molecular liquids. J Non-Cryst Solids 274:131–138CrossRef

11.

Angell CA, Rao KJ (1972) Configurational excitations in condensed matter and the bond lattice model for the liquid-glass transition. J Chem Phys 57:470–481CrossRef

12.

Saika-Voivod I, Sciortino F, Poole PH (2004). Free energy and configurational entropy of liquid silica: fragile-to-strong crossover and polyamorphism. Phys Rev E 69:041503(13)

13.

Faupel F, Frank W, Macht MP, Mehrer H, Naundorf V, Ratzke K, Schober HR, Sharma SK, Teichler H (2003) Diffusion in metallic glasses and supercooled melts. Rev Mod Phys 75:237–280CrossRef

14.

Fujimori H, Oguni M (1995) Correlation index (Tga-Tgb)/Tg and activation energy ratio as parameters characterising the structure of liquid and glass. Solid State Commun 94:157–162CrossRef

15.

Fujimori H, Oguni M (1993) Construction of an adiabatic calorimeter at low temperatures and the glass transition of crystalline 2-bromothiophene. J Phys Chem Solids 54:271–280CrossRef

16.

Fujita H, Fujimori HO, Oguni M (1995) Glass transitions in the stable crystalline state of dibenzofuran and fluorene. J Chem Thermodyn 27:927–938CrossRef

17.

Matsuo T, Suga H, David WIF, Ibberson RM, Bernier P, Zahab A, Fabre C, Rassat A, Dworkin A (1992) The heat-capacity of solid C-60. Solid State Commun 83:711–715CrossRef

18.

Moriya K, Matsuo T, Suga H (1983) Phase transitions and freezing of ion disorder in CsNO2 and TlNO2 crystals. J Phys Chem Solids 44:1103–1119CrossRef

19.

Wales DJ (2003) Energy landscapes, Cambridge molecular science series. Cambridge University Press, Cambridge

20.

Brand R, Loidl A, Lunkenheimer P (2002) Relaxation dynamics in plastic crystals. J Chem Phys 116:10386–10401CrossRef

21.

Mizuno F, Belieres J-P, Kuwata N, Pradel A, Ribes M, Angell CA (2006) Highly decoupled ionic and protonic solid electrolyte systems, in relation to other relaxing systems and their energy landscapes. J Non-Cryst Solids 352:5147–5155CrossRef

22.

Richet P, Bottinga YD, Denielou L, Petitiet JP, Tegui C (1982) Thermodynamic properties of quartz, cristobalite and amorphous SiO₂: drop calorimetry measurements between 1000 and 1800 K and a review from 0 to 2000 K. Geochim Cosmochim Acta 46:2639CrossRef

23.

Scheidler P, Kob W, Latz A, Horbach J, Binder K (2005) Frequency-dependent specific heat of viscous silica. Phys Rev B 63:104204(14)

24.

van Beest BWH, Kramer GJ, van Santen RA (1990) Force fields for silicas and aluminophosphates based on ab initio calculations. Phys Rev Lett 64:1955–1958CrossRef

25.

Vollmayr K, Kob W (1996) Investigating the cooling rate dependence of amorphous silica: a computer simulation study. Ber. bunsenges. Phys Chem 100:1399–1401

26.

Tamura S, Yokokawa T, Niwa K (1975) The enthalpy of beryllium fluoride from 456 to 1083 K by transposed-temperature drop calorimetry. J Chem Thermodyn 7:633CrossRef

27.

Videa M, Angell CA (unpublished work)

28.

Hemmati M, Moynihan CT, Angell CA (2001) Interpretation of the molten BeF2 viscosity anomaly in terms of a high temperature density maximum, and other waterlike features. J Chem Phys 115:6663–6671CrossRef

29.

Privalko Y (1980) Excess entropies and related quantities in glass-forming liquids. J Phys Chem 84:3307–3312CrossRef

30.

Alba C, Busse LE, List DJ, Angell CA (1990) Thermodynamic aspects of the vitrification of toluene, and xylene isomers, and the fragility of liquid hydrocarbons. J Chem Phys 92:617–624CrossRef

31.

Angell CA, Bressel RD (1972) Fluidity and conductance in aqueous electrolyte solutions. An approach from the high concentration limit. I. Ca(NO3)2 solutions. J Phys Chem 76:3244–3252CrossRef

32.

Matyushov D, Angell CA (2007) Gaussian excitations model for glassformer thermodynamics and dynamics. J Chem Phys 126:094501(19)

33.

Martinez L-M, Angell CA (2001) A thermodynamic connection to the fragility of glass-forming liquids. Nature 410:663–667CrossRef

34.

Huang D-H, McKenna GB (2001) New insights into the fragility dilemma in liquids. J Chem Phys 114:5621–5630CrossRef

35.

Wunderlich B (1960) Study of the change in specific heat of monomeric and polymeric glasses during the glass transition. J Phys Chem 64:1052–1056CrossRef

36.

Moynihan CT, Angell CA (2000) Bond lattice or excitation model analysis of the configurational entropy of molecular liquids. J Non-Cryst Solids 274:131–138CrossRef

37.

Stevenson JD, Wolynes PG (2005) Thermodynamic-kinetic correlations in supercooled liquids: critical survey of experimental data and predictions of the random first order transition theory of glasses. J Phys Chem B 109:15093–15097CrossRef

38.

Saika-Voivod I, Poole PH, Sciortino F (2001) Fragile-to-strong transition and polyamorphism in the energy landscape of liquid silica. Nature 412:514–517CrossRef

39.

Whalley E, Klug DD, Handa YP (1989) Entropy of amorphous ice. Nature 342:782–783CrossRef

40.

Speedy RJ, Debenedetti PG, Smith RS, Huang C, Kay BD (1996) The evaporation rate, free energy, and entropy of amorphous water at 150 K. J Chem Phys 105:240–244CrossRef

41.

Sastry S, Angell CA (2003) Liquid–liquid phase transition in supercooled liquid silicon. Nat Mater 2:739–743CrossRef

42.

Poole PH, Sciortino F, Essmann U, Stanley HE (1992) Phase-behavior of metastable water. Nature 360:324–328CrossRef

43.

Tanaka H (2002) Simple view of water-like anomalies of atomic liquids with directional bonding. Phys Rev B 66:064202(8)

44.

Brovchenko I, Geiger A, Oleinikova A (2005) Liquid–liquid phase transitions in supercooled water studied by computer simulations of various water models. J Chem Phys 123:044515(16)

45.

Poole PH, Sciortino F, Grande T, Stanley HE, Angell CA (1994) Effect of hydrogen bonds on the thermodynamic behavior of liquid water. Phys Rev Lett 73:1632–1635CrossRef

46.

Speedy RJ (1982) Stability-limit conjecture. J Phys Chem 86:982–989CrossRef

47.

Wagner W, Pruss A (2002) The IWAPS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use. J Phys Chem Ref Data 31:387–535CrossRef

48.

Kaya S, Sato H (1943) Superstructuring in the iron–cobalt system and their magnetic properties. Proc Physico-Math Soc Japan 25:261–273

49.

Yue YZ (2004) Influence of physical ageing on the excessive heat capacity of hyperquenched silicate glass fibres. J Non-Cryst Solids 348:72–77CrossRef

50.

Angell CA, Yuanzheng Y, Wang L, Copley JRD, Borick S, Mossa S (2003) J Phys cond Matt 15: S1051–S1068

51.

Xu L-M, Buldyrev SV, Giovambattista N, Angell CA, Stanley HE (2009) A monatomic system with a liquid–liquid critical point and two glassy states. J Chem Phys 130:054505(12)

52.

Buldyrev SV, Malesio G, Angell CA, Giovambattista N, Prestipino S, Saija F, Stanley HE, Xu L (2009) Unusual phase behavior of one-component systems with two-scale isotropic interactions. J Phys Condens Mat 21:504106(18)

53.

Xu L, Buldyrev SV, Angell CA, Stanley HE (2006) Thermodynamics and dynamics of the two-scale spherically-symmetric Jagla model of anomalous liquids. Phys Rev E 74:031108(10)

54.

Jagla EA (1998) Phase behavior of a system of particles with core collapse. Phys Rev E 58:1478–1486CrossRef

55.

Angell CA (2008) Glass formation and glass transition in supercooled liquids, with insights from study of related phenomena in crystals. J Non-Cryst Solids 354:4703–4712CrossRef

56.

Mizukami M, Kobashi K, Hanaya M, Oguni M (1999) Presence of two freezing-in processes concerning a-glass transition in the new liquid phase of tri-phenylphosphite. J Phys Chem B 103:4078–4088CrossRef

57.

Aasland S, Mcmillan PF (1994) Density-driven liquid–liquid phase-separation in the system Al2O3-Y2O3. Nature 369:633–636CrossRef

58.

Bhat H, Molinero V, Soignard E, Solomon VC, Sastry S, Yarger JL, Angell CA (2007) Vitrification of a monatomic metallic liquid. Nature 448:787–790CrossRef

59.

Loerting T, Winkel K, KohlI (submitted for publication: private communication) 2010

60.

Sakaguchi S, Todoroki S-I (1998) Rayleigh scattering of silica core optical fiber after heat treatment. Appl Opt 37:7708–7711CrossRef

61.

Mondal P, Lunkenheimer P, Boehmer R, Loidl A, Gugenberger F, Adelmann P, Meingast C (1994) Dielectric relaxation dynamics in C-60 and C-70. J Non-Cryst Solids 172:468–471CrossRef

62.

Swallen SF, Kearns KL, Mapes MK, Kim YS, McMahon RJ, Wu T, Yu L, Ediger MD (2007) Organic glasses with exceptional thermodynamic stability and kinetic stability. Science 315:354–356CrossRef

63.

Ishii K, Nakayama H, Hirabayashi S, Moriyama R (2008) Anomalously high-density glass of ethylbenzene prepared by vapor deposition at temperatures close to the glass-transition temperature. Chem Phys Lett 459:109–112CrossRef

64.

Kearns KL, Ediger MD, Huth H, Schick C (2010) One micrometer length scale controls kinetic stability of low energy glasses. J Phys Chem Lett 1:388–392CrossRef

65.

Dupuy J, Chieux P, Calemzuk R, Jal JF, Ferradou C, Wright A, Angell CA (1982) Controlled nucleation and quasi-ordered growth of ice crystals from low temperature electrolyte solutions: a small angle neutron scattering study. Nature 296:138–140CrossRef

66.

Mishima O (2007) Phase separation in dilute LiCl–H₂O solution related to the polyamorphism of liquid water. J Chem Phys 126:244507(5)

Titel: Heat Capacity and Entropy Functions in Strong and Fragile Glass-Formers, Relative to Those of Disordering Crystalline Materials
verfasst von: C. Austen Angell
Verlag: Springer Netherlands
Buch: Glassy, Amorphous and Nano-Crystalline Materials
Print ISBN: 978-90-481-2881-5

Electronic ISBN: 978-90-481-2882-2

Copyright-Jahr: 2011
DOI: https://doi.org/10.1007/978-90-481-2882-2_2

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