Abstract
The chapter is devoted to the application of isoconversional methods to the phase transitions in one- and two-component systems. The one-component phase transitions include vaporization and sublimation, glass transition and aging, crystallization and melting of polymers, and morphological solid–solid transitions. The two-component phase transitions are the transitions in solutions. They include mixing and demixing, gelation and gel melting, and helix–coil transitions. Each transition is discussed in a separate section that identifies basic kinetic models that can be used to understand how the effective activation energy can vary throughout the transition. It is demonstrated that in many cases one can evaluate the parameters of the models by fitting the theoretical dependence of the activation energy to the experimental one. The chapter features multiple experimental examples of the isoconversional analysis.
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References
Tammann G (1925) The states of aggregation. van Nostrand, New York
Lide DR (ed) (2002) CRC handbook of chemistry and physics, 83rd edn. CRC Press, Boca Raton
Debenedetti PG (1996) Metastable liquids. Concepts and principles. Princeton University Press, Princeton
Papon P, Leblond J, Meijer PHE (2002) The physics of phase transitions. Springer, Berlin
Ehrenfest P (1933) Phasenumwandlungen im ueblichen und erweiterten Sinn, classifiziert nach den entsprechenden Singularitaeten des thermodynamischen Potentiales. Proc Kon Akad Wetensch Amsterdam 36:153–157
Rao CNR, Rao KJ (1978) Phase transitions in solids. McGraw-Hill, New York
West AR (1992) Solid state chemistry and its applications. Wiley, Chichester
Bernstein J (2008) Polymorphism in molecular crystals. Oxford University Press, Oxford
Aasland S, McMillan PF (1994) Density driven liquid-liquid phase separation in the system Al2O3-Y2O3. Nature 369:633–636
Katayama Y, Mizutani T, Utsumi W, Shimomura O, Yamakata M, Funakoshi K (2000) A first-order liquid-liquid phase transition in phosphorus. Nature 403:170–173
Kurita R, Tanaka H (2004) Critical-like phenomena associated with liquid-liquid transition in a molecular liquid. Science 306:845–848
Kurita R, Tanaka H (2005) On the abundance and general nature of the liquid–liquid phase transition in molecular systems. J Phys Condens Matter 17:L293–L302
Guenet J-M (1992) Thermoreversible gelation of polymers and biopolymers. Academic, London
Collings PJ (2002) Liquid crystals. Nature’s delicate phase of matter. Princeton University Press, Princeton
Langmuir I (1913) Chemical reactions at very low pressures. J Am Chem Soc 35:105–127
Langmuir I (1913) The vapor pressure of metallic tungsten. Phys Rev 2:329–342
Knudsen M (1909) Die Molekularströmung der Gase durch Offnungen und die Effusion. Ann Phys 333:999–1909
Atkins P, de Paula J (2010) Physical chemistry, 9th edn. W.H. Freeman, New York
Price DM, Hawkins M (1998) Calorimetry of two disperse dyes using thermogravimetry. Thermochim Acta 315:19–24
Chatterjee K, Dollimore D, Alexander K (2001) A new application for the Antoine equation in formulation development. Int J Pharm 213:31–44
Pieterse N, Focke WW (2003) Diffusion-controlled evaporation through a stagnant gas: estimating low vapour pressures from thermogravimetric data. Thermochim Acta 406:191–198
Seager SL, Geertson LR, Giddings JC (1963) Temperature dependence of gas and vapor diffusion coefficients. J Chem Eng Data 8:168–169
Vecchio S, Di Rocco R, Ferragina C (2008) Kinetic analysis of the oxidative decomposition in γ-zirconium and γ-titanium phosphate intercalation compounds. The case of 2,2’-bipyridyl and its copper complex formed in situ. Thermochim Acta 467:1–10
Vyazovkin S, Clawson JS, Wight CA (2001) Thermal dissociation kinetics of solid and liquid ammonium nitrate. Chem Mater 13:960–966
Cheng Y, Huang Y, Alexander K, Dollimore D (2001) A thermal analysis study of methyl salicylate. Thermochim Acta 367–368:23–28
Vyazovkin S, Chrissafis K, Di Lorenzo ML, Koga N, Pijolat M, Roduit B, Sbirrazzuoli N, Suñol JJ (2014) ICTAC kinetics committee recommendations for collecting experimental thermal analysis data for kinetic computations. Thermochim Acta 590:1–23
Prado JR, Vyazovkin S (2011) Activation energies of water vaporization from the bulk and from laponite, montmorillonite, and chitosan powders. Thermochim Acta 524:197–201
Ashcroft AS (1972) The measurement of enthalpies of sublimation by thermogravimetry. Thermochim Acta 2:512–514
Somorjai GA (1968) Mechanism of sublimation. Science 162:755–760
Vyazovkin S, Dranca I (2004) A DSC study of α- and β-relaxations in a PS-clay system. J Phys Chem B 108:11981–11987
Johari GP, Goldstein M (1970) Viscous liquids and glass transition. II. Secondary relaxation in glasses of rigid molecules. J Chem Phys 53:2372–2388
Williams ML, Landel RF, Ferry JD (1955) The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. J Am Chem Soc 77:3701–3707
Di Marzio EA, Yang AJM (1997) Configurational entropy approach to the kinetics of glasses. J Res Natl Inst Stand Technol 102:135–157
Perez J, Cavaille JY (1995) Thermally stimulated creep: theoretical understanding of the compensation law. J Phys III 5:791–805
Vyazovkin S, Dranca I (2006) Activation energies derived from the pre-glass transition annealing peaks. Thermochim Acta 446:140–146
Faivre A, Niquet G, Maglione M, Fornazero J, Jal JF, David L (1999) Dynamics of sorbitol and maltitol over a wide time-temperature range. Eur Phys J B 10:277–286
Beiner M, Garwe F, Schroter K, Donth E (1994) Ageing effects on dynamic shear moduli at the onset of the dynamic glass transition in two poly(alkyl methacrylate)s. Polymer 35:4127–4132
Chen HS, Morito N (1985) Sub-T g αʹ relaxation in a PdCuSi glass; internal friction measurements. J Non-Cryst Solids 72:287–299
Colmenero J, Alegria A, Alberdi JM, del Val JJ, Ucar G (1987) New secondary relaxation in polymeric glasses: a possible common feature of the glassy state. Phys Rev B 35:3995–4000
Hodge IM (1994) Enthalpy relaxation and recovery in amorphous materials. J Non-Cryst Solids 169:211–266
Vyazovkin S, Dranca I (2005) Physical stability and relaxation of amorphous indomethacin. J Phys Chem B 109:18637–18644
Moynihan CT, Eastel AJ, Wilder J, Tucker J (1974) Dependence of the glass transition temperature of heating and cooling rate. J Phys Chem 78:2673–2677
Moynihan CT, Lee SK, Tatsumisago M, Minami M (1996) Estimation of activation energies for structural relaxation and viscous flow from DTA and DSC experiments. Thermochim Acta 280/281:153–162
Vyazovkin S, Sbirrazzuoli N, Dranca I (2006) Variation in activation energy of the glass transition for polymers of different dynamic fragility. Macromol Chem Phys 207:1126–1130
Adam G, Gibbs JH (1965) On the temperature dependence of cooperative relaxation properties in glass‐forming liquids. J Chem Phys 43:139–146
Vyazovkin S, Sbirrazzuoli N, Dranca I (2004) Variation of the effective activation energy throughout the glass transition. Macromol Rapid Commun 25:1708–1713
Angell CA, Stell RC, Sichina W (1982) Viscosity-temperature function for sorbitol from combined viscosity and differential scanning calorimetry studies. J Phys Chem 86:1540–1542
Lacey D, Nestor G, Richardson MJ (1994) Structural recovery in isotropic and smectic glasses. Thermochim Acta 238:99–111
Hancock BC, Dalton CR, Pikal MJ, Shamblin SL (1998) A pragmatic test of a simple calorimetric method for determining the fragility of some amorphous pharmaceutical materials. Pharm Res 15:762–767
Badrinarayanan P, Zheng W, Simon SL (2008) Isoconversion analysis of the glass transition. Thermochim Acta 468:87–93
Angell CA (1991) Relaxation in liquids, polymers and plastic crystals—strong/fragile patterns and problems. J Non-Cryst Solids 131–133:13–31
Bohmer R, Angell CA (1993) Elastic and viscoelastic properties of amorphous selenium and identification of the phase transition between ring and chain structures. Phys Rev B 48:5857–5864
Bohmer R, Ngai KL, Angell CA, Plazek DJ (1993) Nonexponential relaxations in strong and fragile glass formers. J Chem Phys 99:4201–4209
Huang D, Colucci DM, McKenna GB (2002) Dynamic fragility in polymers: a comparison in isobaric and isochoric conditions. J Chem Phys 116:3925–3934
Beiner M, Huth H, Schroter K (2001) Crossover region of dynamic glass transition: general trends and individual aspects. J Non-Cryst Solids 279:126–135
Roland CM, Santangelo PG, Ngai KL (1999) The application of the energy landscape model to polymers. J Chem Phys 111:5593–5598
Nogales A, Denchev Z, Sics I, Ezquerra TA (2000) Influence of the crystalline structure in the segmental mobility of semicrystalline polymers: poly(ethylene naphthalene-2,6-dicarboxylate). Macromolecules 33:9367–9375
Bravard SP, Boyd RH (2003) Dielectric relaxation in amorphous poly(ethylene terephthalate) and poly(ethylene 2,6-naphthalene dicarboxylate) and their copolymers. Macromolecules 36:741–748
Struik LCE (1978) Physical aging in amorphous polymers and other materials. Elsevier, Amsterdam
Nemilov SV (2000) Physical ageing of silicate glasses at room temperature: general regularities as a basis for the theory and the possibility of a priori calculation of the ageing rate. Glass Phys Chem 26:511–530
Nemilov SV (2001) Physical ageing of silicate glasses at room temperature: the choice of quantitative characteristics of the process and the ranking of glasses by their tendency to ageing. Glass Phys Chem 27:214–227
Nemilov SV, Johari GP (2003) A mechanism for spontaneous relaxation of glass at room temperature. Philos Mag 21:3117–3132
Tanaka Y, Yamamoto T (2012) Enthalpy relaxation of comb-like polymer analysed by combining activation energy spectrum and TNM models. J Non-Cryst Solids 358:1687–1698
Petrie SEB (1972) Thermal behavior of annealed organic glasses. J Polym Sci Part A-2 10:1255–1272
Chen K, Vyazovkin S (2009) Isoconversional kinetics of glass aging. J Phys Chem B 113:4631–4635
Vyazovkin S, Dranca I (2007) Effect of physical aging on nucleation of amorphous indomethacin. J Phys Chem B 111:7283–7287
Donth E (2001) The glass transition: relaxation dynamics in liquids and disordered materials. Springer, Berlin
Rault J (2003) Ageing of glass: role of the Vogel-Fulcher-Tamman law. J Phys Condens Matter 15: S1193–S1213
McKenna GB, Simon SL (2002) The glass transition- its measurement and underlying physics. In: Cheng SZD (ed) Handbook of thermal analysis and calorimetry, vol 3. Elsevier, Amsterdam, pp 49–109
Vyazovkin S, Chen K (2007) Increase in effective activation energy during physical aging of a glass. Chem Phys Lett 448:203–207
Tombari E, Presto S, Salvetti G, Johari GP (2002) Spontaneous decrease in heat capacity of a glass. J Chem Phys 117:8436–8441
Fukao K, Sakamoto A, Kubota Y, Saruyama Y (2005) Aging phenomena in poly(methyl methacrylate) by dielectric spectroscopy and temperature modulated DSC. J Non-Cryst Solids 351:2678–2684
Faivre A, Niquet G, Maglione M, Fornazero J, Jal JF, David L (1999) Dynamics of sorbitol and maltitol over a wide time temperature range. Eur Phys J B 10:277–286
Carpentier L, Descamps M (2003) Dynamic decoupling and molecular complexity of glass-forming maltitol. J Phys Chem B 107:271–275
Cangialosi D, Wubbenhorst M, Schut H, van Veen A, Picken SJ (2004) Dynamics of polycarbonate far below the glass transition temperature: a positron annihilation lifetime study. Phys Rev B 69:134206-1–134206-9
Hu L, Yue YZ (2008) Secondary relaxation behavior in a strong glass. J Phys Chem B 112:9053
van den Beukel A (1986) Analysis of chemical short range ordering in amorphous Fe40Ni40B20. J Non-Cryst Solids 83:134–140
Koebrugge GW, Sietsma J, van den Beukel A (1992) Structural relaxation in amorphous Pd40Ni40P20. Acta Metall Mater 40:753–760
Bershtein VA, Egorov VM (1994) Differential scanning calorimetry of polymers: physics, chemistry, analysis, technology. Ellis Horwood Ltd, New York
Illers KH (1969) Einfluβ der thermischen Vorgeschichte auf die Eigenschaften von Polyvinylchlorid. Makromol Chem 127:1–33
Chen HS (1981) On mechanisms of structural relaxation in a Pd48Ni32P20 glass. J Non-Cryst Solids 46:289–305
Chen HS (1981) Kinetics of low temperature structural relaxation in two (Fe-Ni)-based metallic glasses. J Appl Phys 52:1868–1870
Bershtein VA, Egorov VM, Emelyanov YA, Stepanov VA (1983) The nature of β-relaxation in polymers. Polym Bull 9:98–105
Bershtein VA, Yegorov VM (1985) General mechanism of the β-transition in polymers. Polym Sci USSR 27:2743–2757
McCrum NG, Read BE, Williams G (1991) Anelastic and dielectric effects in polymeric solids. Dover, New York
Hedvig P (1977) Dielectric spectroscopy of polymers. Wiley, New York
Vyazovkin S, Dranca I (2006) Probing beta relaxation in pharmaceutically relevant glasses by using DSC. Pharm Res 23:422–428
Kudlik A, Benkhof S, Blochowicz T, Tschirwitz C, Rössler E (1999) The dielectric response of simple organic glass formers. J Mol Struct 479:201–218
Ngai KL, Capaccioli S (2004) Relation between the activation energy of the Johari-Goldstein β-relaxation and Tg of glass formers. Phys Rev E 69:031501-1–031501-5
Boyer RF (1976) Mechanical motions in amorphous and semi-crystalline polymers. Polymer 17:996–1008
Vyazovkin S (2008) Isoconversional kinetics. In: Brown ME, Gallagher PK (eds). The handbook of thermal analysis & calorimetry, vol 5: recent advances, techniques and applications. Elsevier, Amsterdam, pp 503–538
Turnbull D, Fisher JC (1949) Rate of nucleation in condensed systems. J Chem Phys 17:71–73
Mandelkern L (2004) Crystallization of polymers, vol 2. Cambridge University Press, Cambridge
Schultz JM (2001) Polymer crystallization. ACS & Oxford University Press, New York
Avrami M (1939) Kinetics of phase change. I General theory. J Chem Phys 7:1103–1112
Avrami M (1940) Kinetics of phase change. II Transformation time relations for random distribution of nuclei. J Chem Phys 8:212–224
Avrami M (1941) Granulation, phase change, and microstructure kinetics of phase change. III. J Chem Phys 9:177–184
Hong PD, Chung WT, Hsu CF (2002) Crystallization kinetics and morphology of poly(trimethylene terephthalate). Polymer 43:3335–3343
Kissinger HE (1956) Variation of peak temperature with heating rate in differential thermal analysis. J Res Natl Bur Stand 57:217–221
Kissinger HE (1957) Reaction kinetics in differential thermal analysis. Anal Chem 29:1702–1706
Vyazovkin S (2002) Is the Kissinger equation applicable to the processes that occur on cooling? Macromol Rapid Commun 23:771–775
Cheng SZD, Jin S (2002) Crystallization and melting of metastable crystalline polymers. In: Cheng SZD (ed) Handbook of thermal analysis and calorimetry, vol 3. Elsevier, Amsterdam, pp 167–195
Hoffman JD, Lauritzen JI Jr (1961) Crystallization of bulk polymers with chain folding: theory of growth of lamellar spherulites. J Res Natl Bur Stand 65A:297–336
Hoffman JD, Davis GT, Lauritzen JI Jr (1976) The rate of crystallization of linear polymers with chain folding In: Hannay NB (ed) Treatise on solid state chemistry, vol 3. Plenum, New York, pp 497–614
Toda A, Oda T, Hikosaka M, Saruyama Y (1997) A new method of analysing transformation kinetics with temperature modulated differential scanning calorimetry: application to polymer crystal growth. Polymer 38:231–233
Toda A, Arita T, Tomita C, Masamichi H (1999) Temperature-modulated DSC applied to the transformation kinetics of polymer crystallization. Polymer J 31:790–794
Vyazovkin S, Sbirrazzuoli N (2004) Isoconversional approach to evaluating the Hoffman-Lauritzen parameters (U* and Kg) from the overall rates of nonisothermal crystallization. Macromol Rapid Commun 25:733–738
Vyazovkin S, Dranca I (2006) Isoconversional analysis of combined melt and glass crystallization data. Macromol Chem Phys 207:20–25
Shultz JM, Fakirov S (1990) Solid state behavior of linear polyesters and polyamides. Prentice Hall, Engelwood Cliffs
Lu XF, Hay JN (2001) Isothermal crystallization kinetics and melting behaviour of poly(ethylene terephthalate). Polymer 42:9423–9431
Rahman MH, Nandi AK (2002) On the crystallization mechanism of poly(ethylene terepthalate) in its blends with poly(vinylidene fluoride). Polymer 43:6863–6870
Okamoto M, Shinoda Y, Kinami N, Okuyama T (1995) Nonisothermal crystallization of poly(ethylene terephthalate) and its blends in the injection-molding process. J Appl Polym Sci 57:1055–1061
Wunderlich B (2005) Thermal analysis of polymeric materials. Springer, Berlin
Phillips PJ, Tseng HT (1989) Influence of pressure on crystallization in poly(ethylene terephthalate). Macromolecules 22:1649–1655
Runt J, Miley DM, Zhang X, Gallagher KP, McFeaters K, Fishburn J (1992) Crystallization of poly(butylene terephthalate) and its blends with polyarylate. Macromolecules 25:1929–1934
Hwang CJ, Chen CC, Chen HL, Yang WCO (1997) Analysis of two-stage crystallization kinetics for poly(ethylene terephthalate)/ poly(ether imide) blends. Polymer 38:4097–4101
Chan TW, Isaev AI (1994) Quiescent polymer crystallization: modeling and measurements. Polym Eng Sci 34:461–471
Wu TM, Chang CC, Yu TL (2000) Crystallization of poly(ethylene terephthalate-co-isophthalate). J Polym Sci B Polym Phys 38:2515–2524
Bosq N, Guigo N, Zhuravlev E, Sbirrazzuoli N (2013) Nonisothermal crystallization of polytetrafluoroethylene in a wide range of cooling rates. J Phys Chem B 117:3407–3415
Bosq N, Guigo N, Persello J, Sbirrazzuoli N (2014) Melt and glass crystallization of PDMS and PDMS silica nanocomposites. Phys Chem Chem Phys 16:7830–7840
Toda A, Hikosaka M, Yamada K (2002) Superheating of the melting kinetics in polymer crystals: a possible nucleation mechanism. Polymer 43:1667–1679
Kovacs AJ, Gonthier A, Straupe C (1975) Isothermal growth, thickening, and melting of poly(ethylene oxide) crystals in the bulk. J Polym Sci Polym Symp 50:283–325
Minakov AA, Wurm A, Schick C (2007) Superheating in linear polymers studied by ultrafast nanocalorimetry. Eur Phys J E 23:43–53
Minakov AA, van Herwaarden AW, Wien W, Wurm A, Schick C (2007) Advanced nonadiabatic ultrafast nanocalorimetry and superheating phenomenon in linear polymers. Thermochim Acta 461:96–106
Toda A, Kojima I, Hikosaka M (2008) Melting kinetics of polymer crystals with an entropic barrier. Macromolecules 41:120–127
Sasaki T (2013) Melting of poly(ε-caprolactone) studied by step-heating calorimetry. J Therm Anal Calorim 111:717–724
Toda A Private communication
Cheng SZD (2008) Phase transitions in polymers. Elsevier, Amsterdam
Vyazovkin S, Yancey B, Walker K (2013) Nucleation driven kinetics of poly(ethylene terephthalate) melting. Macromol Chem Phys 214:2562–2566
Vyazovkin S, Burnham A K, Criado JM, Pérez-Maqueda LA, Popescu C, Sbirrazzuoli N (2011) ICTAC kinetics committee recommendations for performing kinetic computations on thermal analysis data. Thermochim Acta 520:1–19
Vyazovkin S, Yancey B, Walker K (2014) Polymer melting kinetics appears to be driven by heterogeneous nucleation. Macromol Chem Phys 215:205–209
Lippits DR, Rastogi S, Hohne GWH (2006) Melting kinetics in polymers. Phys Rev Lett 96:218303-1–218303-4
Illers KH (1974) Die Ermittlung des Schmelzpunktes von Kristallinen Polymeren mittels Warmeflusskalorimetrie (DSC). Eur Pol J 10:911–916
Thomas DG, Staveley LAK (1952) A study of the supercooling of drops of some molecular liquids. J Chem Soc 4569–4577
Wunderlich B (1980) Macromolecular physics, vol 3, Academic, New York
Maddox J (1987) Melting is merely skin-thick. Nature 330:599
Dash JG (1999) History of the search for continuous melting. Rev Mod Phys 71:1737–1743
Devoy C, Mandelkern L (1970) On the heterogeneous nucleation of long-chain molecules. J Chem Phys 52:3827–3830
Israelachvili J (1991) Intermolcular & surface forces, 2nd edn. Academic, Amsterdam
Hendricks SB, Posnjak E., Kracek FC (1932) Molecular rotation in the solid state. The variation of the crystal structure of ammonium nitrate with temperature. J Am Chem Soc 54:2766–2786
Mnyukh Yu (2009) Fundamentals of solid-state phase transitions, ferromagnetism and ferroelectricity, 2nd edn. Yuri Mnyukh, Farmington
Villafuerte-Castrejon ME, West AR (1981) Kinetics of polymorphic transitions in tetrahedral structures. Part 2. Temperature dependence of the transition β ↔ γ Li2ZnSiO4. J Chem Soc Faraday Trans I 77:2297–2307
Balluffi RW, Allen SM, Carter WC (2005) Kinetics of materials. Wiley, Hoboken
Riggin MT, Knispel RR, Pintar MM (1972) Cation diffusion study in NH4NO3 by proton spin relaxation. J Chem Phys 56:2911–2918
Mullin JW (2002) Crystallization, 4th edn. Butterworth, Oxford
Campbell AN, Kartzmark EM (1969) Heats of mixing and dielectric constants of some partially miscible liquid pairs. Can J Chem 47:619–623
Kohler F, Rice OK (1957) Coexistence curve of the triethylamine-water system. J Chem Phys 26:1614–1618
Vyazovkin S, Sbirrazzuoli N (2000) Effect of viscosity on the kinetics of initial cure stages. Macromol Chem Phys 201:199–203
Glasstone S, Laidler K, Eyring H (1941) The theory of rate processes. McGraw-Hill, New York
Kartzmark EM (1967) System triethylamine-water: the equilibrium diagram and some physical properties. Can J Chem 45:1089–1091
Lark BS, Patyar P, Banipal TS (2007) Temperature effect on the viscosity and heat capacity behaviour of some amino acids in water and aqueous magnesium chloride solutions. J Chem Thermodyn 39:344–360
Flory PJ (1974) Introductory lecture. Faraday Discuss Chem Soc 57:229–241
de Gennes (1985) Scaling concepts in polymer physics. Cornell University Press, Ithaca
Tan HM, Moet A, Hiltner A, Baer E (1983) Thermoreversible gelation of atactic polystyrene solutions. Macrmolecules 16:28–34
Eliassaf J, Silberberg A (1962) The gelation of aqueous solutions of polymethacrylic acid. Polymer 3:555–564
Heymann E (1935) Studies on sol-gel transformations. I. The inverse sol-gel transformation of methylcellulose in water. Trans Faraday Soc 31:846–864
Doolittle AK (1946) Mechanism of solvent section. Influence of molecular size and shape on temperature dependence of solvent ability. Ind Chem Eng 38:535–540
Godard P, Biebuyck JJ, Daumerie M, Naveau H, Mercier JP (1978) Crystallization and melting of aqueous gelatin. J Polym Sci Polym Phys Ed 16:1817–1828
Domszy RC, Alamo R, Edwards CO, Mandelkern L (1986) Thermoreversible gelation and crystallization of homopolymers and copolymers. Macromolecules 19:310–325
Boedtker H, Doty P (1954) A study of gelatin molecules, aggregates and gels. J Phys Chem 58:968–983
Djabourov M, Leblond J, Papon P (1988) Gelation of aqueous gelatin solutions. I. Structural investigation. J Phys France 49:319–332
Guo L, Colby RH, Lusignan CP, Whitesides TH (2003) Kinetics of triple helix formation in semidilute gelatin solutions. Macromolecules 36:9999–10008
Flory PJ, Weaver ES (1960) Helix ↔ coil transition in dilute aqueous collagen solutions. J Am Chem Soc 82:4518–4525
Guigo N, Sbirrazzuoli N, Vyazovkin S (2012) Atypical gelation in gelatin solutions probed by ultra fast calorimetry. Soft Matter 8:7116–7121
Chen K, Vyazovkin S (2009) Temperature dependence of sol-gel conversion kinetics in gelatin-water system. Macromol Biosci 9:383–392
Ohkura M, Kanaya T, Kaji K (1992) Gelation rates of poly(vinyl alcohol) solution. Polymer 33:5044–5048
Malik S, Jana T, Nandi AK (2001) Thermoreversible gelation of regioregular poly(3-hexylthiophene) in xylene. Macromolecules 34:274–282
Dikshit AK, Nandi AK (2001) Gelation mechanism of thermoreversible gels of poly(vinylidene fluoride) and its blends with poly(methyl acrylate) in diethyl azelate. Langmuir 17:3607–3615
Chen K, Baker AN, Vyazovkin S (2009) Concentration effect on temperature dependence of gelation rate in aqueous solutions of methylcellulose. Macromol Chem Phys 210:211–216
Harrington WF, Rao NV (1970) Collagen structure in solution. I. Kinetics of helix regeneration in single-chain gelatins. Biochemistry 9:3714–3724
Eagland D, Pilling G, Wheeler RG (1974) Studies of the collagen fold formation and gelation in solutions of a monodisperse α gelatin. Faraday Discuss 57:181–200
Michon C, Cuvelier G, Launay B (1993) Concentration dependence of the critical viscoelastic properties of gelatin at the gel point. Rheol Acta 32:94–103
Kobayashi K, Huang C, Lodge TP (1999) Thermoreversible gelation of aqueous methylcellulose solutions. Macromolecules 32:7070–7077
Stolin AM, Merzhanov AG, Malkin AYa (1979) Non-isothermal phenomena in polymer engineering and science: a review-2. Non-isothermal phenomena in polymer deformation. Polym Eng Sci 19:1074–1080
Takahashi M, Shimazaki M, Yamamoto J (2001) Thermoreversible gelation and phase separation in aqueous methyl cellulose solutions. J Polym Sci B 39:91–100
Guigo N, Sbirrazzuoli N, Vyazovkin S (2012) Gelation on heating of supercooled gelatin solutions. Macromol Rapid Commun 33:698–702
Zhuravlev E, Schmelzer JWP, Wunderlich B, Schick C (2011) Kinetics of nucleation and crystallization in poly(ε-caprolactone) (PCL). Polymer 52:1983–1997
Dranca I, Vyazovkin S (2009) Thermal stability of gelatin gels: effect of preparation conditions on the activation energy barrier to melting. Polymer 50:4859–4867
te Nijenhuis K (1981) Investigation into the ageing process in gels of gelatin/water systems by the measurement of their dynamic moduli—Part II: mechanism of the ageing process. Colloid Polym Sci 259:1017–1026
Teramoto A (2001) Cooperative conformational transitions in linear macromolecules undergoing chiral perturbations. Prog Polym Sci 26:667–720
Smeller L (2002) Pressure-temperature phase diagrams of biomolecules. Biochim Biophys Acta 1595:11–29
Lumry R, Eyring H (1954) Conformation changes of proteins. J Phys Chem 58:110–120
Lepock JR, Ritchie KP, Kolios MC, Rodahl AM, Heinz KA, Kruuv J (1992) Influence of transition rates and scan rate on kinetic simulations of differential scanning calorimetry profiles of reversible and irreversible protein denaturation. Biochemistry 31:12706–12712
Sanchez-Ruiz JM (1992) Theoretical analysis of Lumry-Eyring models in differential scanning calorimetry. Biophys J 61:921–935
Vyazovkin S, Vincent L, Sbirrazzuoli N (2007) Thermal denaturation of collagen analyzed by isoconversional method. Macromol Biosci 7:1181–1186
Wright NT, Humphrey JD (2002) Denaturation of collagen via heating: an irreversible rate process. Annu Rev Biomed Eng 4:109–128
Bischof JC, He XM (2005) Thermal stability of proteins. Ann NY Acad Sci 1066:1–22
Weir CE (1949) Effect of temperature on the volume of leather and collagen in water. J Res Nat Bur Stand 42:17–32
Wright NT (2003) On a relationship between the Arrhenius parameters from thermal damage studies. J Biomed Eng 125:300–304
Jacques SL (2006) Ratio of entropy to enthalpy in thermal transitions in biological tissues. J Biomed Opt 11:041108-1–041108-7
Miles CA, Ghelashvili M (1999) Polymer-in-a-box mechanism for the thermal stabilization of collagen molecules in fibers. Biophys J 76:3243–3252
Miles CA, Burjanadze TV, Bailey AJ (1995) The kinetics of the thermal denaturation of collagen in unrestrained rat tail tendon determined by differential scanning calorimetry. J Mol Biol 245:437–446
Liu W, Li G (2010) Non-isothermal kinetic analysis of the thermal denaturation of type I collagen in solution using isoconversional and multivariate non-linear regression methods. Polym Degrad Stab 95:2233–2240
Xia Z, Calderon-Colon X, Trexler M, Elisseeff J, Guo Q (2012) Thermal denaturation of type I collagen vitrified gels. Thermochim Acta 527:172–179
Budrugeac P, Cucos A (2013) Application of Kissinger, isoconversional multivariate non-linear regression methods for evaluation of the mechanism and kinetic parameters of phase transitions of type I collagen. Thermochim Acta 565:241–252
Liu W, Tian Z, Li C, Li G (2014) Thermal denaturation of fish collagen in solution: a calorimetric and kinetic analysis. Thermochimica Acta 581:32–40
Cao X, Wang Z, Liu Y, Wang C, Tian Y (2010) Effect of additive on the thermal denaturation of lysozyme analyzed by isoconversional method. Acta Chim Sinica 68:194–198
Cao X, Tian Y, Wang Z, Liu Y, Wang C (2014) Protein denaturation kinetic processes of a simple and a complex reaction mechanism analyzed by an iso-conversional method. J Therm Anal Calorim 117:1489–1495
Istrate D, Popescu C, Moller M (2009) Non-isothermal kinetics of hard α-keratin thermal denaturation. Macromol Biosci 9:805–812
Cao X, Li J, Yang X, Duan Y, Liu Y, Wang C (2008) Nonisothermal kinetic analysis of the effect of protein concentration on BSA aggregation at high concentration by DSC. Thermochim Acta 467:99–106
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Vyazovkin, S. (2015). Physical Processes. In: Isoconversional Kinetics of Thermally Stimulated Processes. Springer, Cham. https://doi.org/10.1007/978-3-319-14175-6_3
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DOI: https://doi.org/10.1007/978-3-319-14175-6_3
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