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Pre-Crystalline, High-Entropy Aggregates: A Role in Polymer Crystallization?

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Book cover Interphases and Mesophases in Polymer Crystallization III

Part of the book series: Advances in Polymer Science ((POLYMER,volume 191))

Abstract

We distinguish three main modes of crystallization for polymers with a relatively flexible main-chain, i.e., (i) usual lamellar crystallization occurring by cooling from the reference state (melt or solution) above the temperature T0 down to T > T g ; (ii) crystallization from the glass; (iii) crystallization from a stable thermotropic mesophase. In all three cases we propose that structure development proceeds via high entropy pre-crystalline aggregates, which may influence features of the crystalline organization. Pre-crystalline structures characteristic of modes (i) and (ii) are identified with bundles, i.e., energy-driven hexagonal associations among chain segments. At T < T0 the polymer solution is regarded as meta-stable, and in this state the bundle segments are essentially consecutive whereas in the melt and the glass bundles also comprise non-consecutive chain segments. The fold thickness L observed in lamellar crystallization, resulting from bundle aggregation and rearrangement, is basically controlled by the average fold length in the consecutive chain portions within bundles. For small values of ΔT(= T0 − Tcrystallization) we obtain L ∝ 1/∆T, in agreement with experimental data from polyethylene as well as with several simulation results; the proportionality factor appears to be the same for the solution and the melt. The bundle model appears to be consistent with indirect evidence such as segregation of short chains in the crystallization process and clustering of segments belonging to the same chain in the crystal. In mode (ii) it is plausible, at least in certain instances, that crystallization is preceded by bundle aggregation leading to phase separation. In the case of crystallization in mode (iii) we can identify the pre-crystalline high entropy state with the thermotropic mesophase itself. Such phases involve large domains of parallel, hexagonally packed, conformationally disordered chains, with a high propensity to fully extended macroconformations. They occur with polymers with a large persistence length of entropic (i.e., elastic) origin, mainly due to conformational disorder of the side groups. Folds and hairpins in these mesophases are energetically disfavored because adequate compensatory inter-stem attractions are missing. Finally, it is shown that crystallization of helical non-chiral polymers into crystalline modifications comprising isochiral helices only, may in certain cases be accounted for on the basis of hexagonal pre-crystalline intermediates like bundles and mesophases discussed in the present contribution.

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Abbreviations

β2:

mean square contraction of an otherwise unperturbed chain with bundles

T g :

glass transition temperature

T 0 :

ideal dissolution temperature, or melting temperature

T :

actual temperature

∆T:

T0 − T

Z :

partition function of the chain

E i :

energy of the i-th conformational state of the chain

E :

melting energy per chain atom

Ω i :

multiplicity of the i-th state

L :

lamellar thickness

Lbundle, Lstem, Lloop, Lbridge:

no. of chain atoms in a bundle, a stem, a loop, a bridge

p :

no. of stems per bundle

P :

persistence length of the polymer chain

D :

chain diameter

∆L:

length of the independent chain element

C ∞ :

characteristic ratio of a polymer chain

C ∞B :

characteristic ratio of a chain with all side groups replaced by hydrogens

l0, l:

skeletal bond length and its projection on the chain axis

C, M, L:

crystalline phase, mesophase, and liquid phase of the polymer

H :

hexagonality index

References

  1. Wunderlich B (1976) Macromolecular Physics, vol 1 and 2. Academic Press, New York

    Google Scholar 

  2. Hoffman JD, Thomas Davis G, Lauritzen Jr JI (1976) In: Hannay NB (ed) Treatise on Solid State Chemistry, vol 3. Plenum Press, New York

    Google Scholar 

  3. Armistead K, Goldbeck-Wood G (1992) Adv Polym Sci 100:219

    Google Scholar 

  4. Muthukumar M (2004) Adv Chem Phys 128:1

    Google Scholar 

  5. Strobl G (1995) The Physics of Polymers. Springer, Berlin Heidelberg New York

    Google Scholar 

  6. Nakatani AI, Dadmun MD (eds) (1995) Flow-induced Structure in Polymers, ACS Symp Ser 597, American Chemical Society

    Google Scholar 

  7. Allegra G (1977) J Chem Phys 66:5453

    Article  CAS  Google Scholar 

  8. Allegra G (1980) Ferroelectrics 30:195

    CAS  Google Scholar 

  9. Allegra G, Meille SV (1999) Phys Chem Chem Phys 1:5179

    Article  CAS  Google Scholar 

  10. Liu C, Muthukumar M (1998) J Chem Phys 109:2536

    CAS  Google Scholar 

  11. Allegra G, Meille SV (2004) Macromolecules 37:3487

    Article  CAS  Google Scholar 

  12. Onsager L (1949) Proc NY Acad Sci 51:27

    Google Scholar 

  13. Meille SV, Allegra G (1995) Macromolecules 28:7764

    CAS  Google Scholar 

  14. Lotz B (1998) Polymer 39:4561

    Article  CAS  Google Scholar 

  15. Ganazzoli F, Raos G, Allegra G (1999) Macromol Theor Simul 8:65

    Google Scholar 

  16. Barham PJ, Chivers RA, Keller A, Martinez-Salazar J, Organ SJ (1985) J Mater Sci 20:1625

    CAS  Google Scholar 

  17. Wunderlich B (1990) Thermal Analysis. Academic Press, New York; Gaur U, Wunderlich B (1981) J Phys Chem Ref Data 10:119

    Google Scholar 

  18. Natta G, Peraldo M, Corradini P (1959) Rend Fis Accad Lincei 26:14

    CAS  Google Scholar 

  19. Wyckoff HW (1962) J Polym Sci 62:83

    Article  CAS  Google Scholar 

  20. Nakaoki T, Ohira Y, Hayashi H, Horii F (1998) Macromolecules 31:2705

    Article  CAS  Google Scholar 

  21. Vittoria V, Guadagno L, Comotti A, Simonutti R, Auriemma F, De Rosa C (2000) Macromolecules 33:6200

    Article  CAS  Google Scholar 

  22. Natta G, Peraldo M, Allegra G (1964) Makromol Chem 75:215

    Article  CAS  Google Scholar 

  23. Bonart R (1966) Kolloid Z 213:1; (1966) Kolloid Z 210:16; (1968) Kolloid Z 231:438

    CAS  Google Scholar 

  24. Imai M, Kaji K, Kanaya T (1994) Macromolecules 27:7103–7108

    Article  CAS  Google Scholar 

  25. Kaji K, Nishida K, Kanaya T, Matsuba G, Konishi T, Imai M (2005) Spinodal crystallization of polymers: Crystallization from the unstable melt. Adv Polym Sci (in this volume)

    Google Scholar 

  26. Auriemma F, De Rosa C, Corradini P (2005) Adv Polym Sci 181:1

    CAS  Google Scholar 

  27. Yeh GSY, Geil PH (1967) J Macromol Sci Phys B 1:235

    CAS  Google Scholar 

  28. Geil PH (2002) In: Fakirov S (ed) Handbook of Thermoplastic Polyesters. Wiley, Weinheim, p 105–224

    Google Scholar 

  29. Auriemma F, Corradini P, Guerra G, Vacatello M (1995) Macromol Theo Simul 4:165; Auriemma F, Corradini P, De Rosa C, Guerra G, Petraccone V, Bianchi R, Di Dino G (1992) Macromolecules 25:2490

    Google Scholar 

  30. Chatani Y, Maruyama H, Noguchi K, Asanuma T, Shiomura T (1990) J Polym Sci Part C 28:393

    CAS  Google Scholar 

  31. Al-Hussein M, Strobl G (2001) Eur Phys J E 6:305

    Article  CAS  Google Scholar 

  32. Grasruck M, Strobl G (2003) Macromolecules 36:86

    Article  CAS  Google Scholar 

  33. Guadagno L, D'Aniello C, Naddeo C, Vittoria V, Meille SV (2002) Macromolecules 35:3921

    Article  CAS  Google Scholar 

  34. Nakaoki T, Yamanaka T, Ohira Y, Horii F (2000) Macromolecules 33:2718

    CAS  Google Scholar 

  35. Guadagno L, D'Aniello C, Naddeo C, Vittoria V, Meille SV (2003) Macromolecules 36:6756

    Article  CAS  Google Scholar 

  36. Natta G, Corradini P (1960) Nuovo Cimento Suppl 15:40

    CAS  Google Scholar 

  37. Gezovich DM, Geil PH (1968) Polym Eng Sci 8:202

    CAS  Google Scholar 

  38. Hsu CC, Geil PH, Miyaji H, Asai K (1986) J Polym Sci B Polym Phys Ed 24:2379

    Article  CAS  Google Scholar 

  39. Grubb DT, Yoon DY (1986) Polymer Commun 27:84

    CAS  Google Scholar 

  40. Yan RJ, Li W, Li G, Jiang B (1993) J Macromol Sci Phys B 32:15

    Google Scholar 

  41. Gomez MA, Tanaka H, Tonelli AE (1987) Polymer 28:2227

    Article  CAS  Google Scholar 

  42. Meille SV, Ferro DR, Brückner S, Lovinger AJ, Padden FJ (1994) Macromolecules 27:2615

    Article  CAS  Google Scholar 

  43. Lotz B, Kopp S, Dorset D (1994) C R Acad Sci Paris 319:187

    CAS  Google Scholar 

  44. Corradini P, Petraccone V, De Rosa C, Guerra G (1986) Macromolecules 19:2699

    Article  CAS  Google Scholar 

  45. Corradini P, De Rosa C, Guerra G, Petraccone V (1989) Polymer Commun 30:281

    CAS  Google Scholar 

  46. Caldas V, Brown GR, Nohr RS, MacDonald JG, Raboin LE (1994) Polymer 35:899

    Article  CAS  Google Scholar 

  47. Iijima M, Strobl G (2000) Macromolecules 33:5204

    Article  CAS  Google Scholar 

  48. Muthukumar M (2004) Proceedings of IUPAC World Polymer Congress

    Google Scholar 

  49. Dukovski I, Muthukumar M (2003) J Chem Phys 118:6648

    Article  CAS  Google Scholar 

  50. Muthukumar M, Welch P (2000) Polymer 41:8833

    Article  CAS  Google Scholar 

  51. Yamamoto T (1997) J Chem Phys 107:2653

    CAS  Google Scholar 

  52. Yamamoto T (1988) J Chem Phys 89:2356

    CAS  Google Scholar 

  53. Yamamoto T (2001) J Chem Phys 115:8675

    CAS  Google Scholar 

  54. Yamamoto T (2003) J Macromol Sci B42:629

    Google Scholar 

  55. Meyer H, Müller-Plathe F (2002) Macromolecules 35:1241

    CAS  Google Scholar 

  56. Bassett DC, Block S, Piermarini GJ (1974) J Appl Phys 45:4146

    Article  CAS  Google Scholar 

  57. Yamamoto T, Miyaji H, Asai K (1977) Japan J Appl Phys 16:1891

    CAS  Google Scholar 

  58. Bunn CW, Howells ER (1954) Nature 174:549

    CAS  Google Scholar 

  59. Sperati CA, Starkweather HW Jr (1961) Adv Polym Sci 2:465

    CAS  Google Scholar 

  60. Clark ES, Muus LT (1962) Z Kristallogr 117:119

    CAS  Google Scholar 

  61. Ungar G (1993) Polymer 34:2050

    Article  CAS  Google Scholar 

  62. Wunderlich B, Gerbowicz J (1984) Adv Polym Sci 60/61:1

    CAS  Google Scholar 

  63. Wunderlich B, Möller M, Gerbowicz J, Baur H (1988) Adv Polym Sci 87:1

    Google Scholar 

  64. Bunn CW (1942) Proc Roy Soc (London) A180:40

    Google Scholar 

  65. Nyburg SC (1954) Acta Cryst 7:385

    CAS  Google Scholar 

  66. Natta G, Corradini P (1956) Angew Chem 68:393

    CAS  Google Scholar 

  67. Natta G, Corradini P (1960) Nuovo Cimento Suppl 15:111

    CAS  Google Scholar 

  68. Schilling FC, Bovey FA, Lovinger AJ, Zeigler JM (1990) In: Silicon-Based Polymer Science. A Comprehensive Resource. Zeigler JM, Gordon Fearon FW (eds) Advances in Chemistry Series. Am Chem Soc, Washington, DC 224:1

    Google Scholar 

  69. Patnaik SS, Farmer BL (1992) Polymer 33:4443

    CAS  Google Scholar 

  70. Lovinger AJ, Davis DD, Schilling FC, Padden FJ, Bovey FA, Zeigler JM (1991) Macromolecules 24:132

    CAS  Google Scholar 

  71. Corradi E, Farina A, Gallazzi MC, Brückner S, Meille SV (1999) Polymer 40:4473

    Article  CAS  Google Scholar 

  72. Kitaigorodsky A J (1973) Molecular Crystals and Molecules. Academic Press, New York

    Google Scholar 

  73. Lotz B, Lovinger AJ, Cais RE (1988) Macromolecules 21:2375

    Article  CAS  Google Scholar 

  74. De Rosa C, Corradini P (1993) Macromolecules 26:5711

    Google Scholar 

  75. De Rosa C, Auriemma F, Vinti V (1998) Macromolecules 31:7430

    Google Scholar 

  76. Corradini P, Natta G, Ganis P, Temussi PA (1967) J Polym Sci Part C 16:2477

    CAS  Google Scholar 

  77. Puiggali J, Ikada Y, Tsuji H, Cartier R, Okihara T, Lotz B (2000) Polymer 41:8921

    Article  CAS  Google Scholar 

  78. Cartier L, Okihara T, Ikada Y, Tsuji H, Puiggali J, Lotz B (2000) Polymer 41:8909

    Article  CAS  Google Scholar 

  79. Chatani Y, Maruyama H, Asanuma T, Shiomura T (1991) J Polym Sci Polym Phys Ed 29:1649

    Article  CAS  Google Scholar 

  80. Palmo K, Krimm S (2002) Macromolecules 35:394

    Article  CAS  Google Scholar 

  81. Guadagno L, Naddeo C, D'Aniello C, Vittoria V, Meille SV (2004) Macromol Symp 218:125

    CAS  Google Scholar 

  82. Guadagno L, Naddeo C, Vittoria V, Meille SV (2005) Macromolecules (in press)

    Google Scholar 

  83. Zhang J, Yang D, Thierry A, Wittmann JC, Lotz B (2001) Macromolecules 34:6261

    CAS  Google Scholar 

  84. Rastogi S, van der Burgt F, La Camera D, Terry AE, Cheng SZD (2001) Macromolecules 34:7730

    Article  CAS  Google Scholar 

  85. Perego G, Melis A, Cesari M (1972) Makromol Chem 157:269

    Article  CAS  Google Scholar 

  86. Brückner S, Meille SV, Porzio W (1988) Polymer 29:1586

    Google Scholar 

  87. Ferro DR, Brückner S, Meille SV, Ragazzi M (1990) Macromolecules 23:1676

    Article  CAS  Google Scholar 

  88. Meille SV, Konishi T, Geil PH (1984) Polymer 25:773

    Article  CAS  Google Scholar 

  89. Meille SV, Brückner S, Lando JB (1989) Polymer 30:786

    Article  CAS  Google Scholar 

  90. Natta G, Corradini P, Bassi IW (1960) Nuovo Cimento Suppl 15:52

    CAS  Google Scholar 

  91. Holland VF, Miller RL (1964) J Appl Phys 35:3241

    CAS  Google Scholar 

  92. Turner-Jones A (1963) J Polym Sci Polym Letters Bl:455

    Google Scholar 

  93. Petraccone V, Pirozzi B, Frasci A, Corradini P (1976) Eur Polym J 12:323

    CAS  Google Scholar 

  94. Cojazzi G, Malta V, Celotti G, Zannetti R (1976) Makromol Chem 177:915

    Article  CAS  Google Scholar 

  95. Dorset DL, McCourt MP, Kopp S, Wittmann JC, Lotz B (1994) Acta Crystallogr B50:201

    CAS  Google Scholar 

  96. Chau KW, Geil PH (1983) J Macromol Sci Phys B 22:543

    Google Scholar 

  97. Chau KW, Geil PH (1984) J Macromol Sci Phys B 23:115

    Google Scholar 

  98. Weeks JJ, Clark ES, Eby RK (1981) Polymer 22:1480

    CAS  Google Scholar 

  99. Lauritzen Jr JI, Hoffman JD (1973) J Appl Phys 44:4340

    Google Scholar 

  100. Stamm M, Fischer EW, Dettenmaier M, Convert P (1979) Faraday Disc Chem Soc 68:263

    Article  Google Scholar 

  101. Sadler DM (1983) In: Hall IH (ed) Structure of Crystalline Polymers. Elsevier, London

    Google Scholar 

  102. Hu W, Frenkel D (2005) Polymer crystallization driven by anisotropic interactions. Adv Polym Sci (in this volume)

    Google Scholar 

  103. Strobl G (2000) Eur Phys J E 3:165

    Article  CAS  Google Scholar 

  104. Brückner S, Meille SV (1989) Nature 340:455

    Google Scholar 

  105. Meille SV, Brückner S, Porzio W (1990) Macromolecules 23:4114

    Article  CAS  Google Scholar 

  106. Lotz B, Wittmann JC, Lovinger AJ (1996) Polymer 37:4979

    Article  CAS  Google Scholar 

  107. Flory PJ (1969) Statistical mechanics of chain molecules. Wiley, New York

    Google Scholar 

  108. Bunn CW (1939) Trans Faraday Soc (London) 35:482

    Article  CAS  Google Scholar 

  109. Bassett DC (1982) In: Bassett DC (ed) Developments in Crystalline Polymers, Vol. 1. Appl Sci Publ, London, 115 pp

    Google Scholar 

  110. Chiang R (1966) J Phys Chem 70:2348

    CAS  Google Scholar 

  111. Natta G, Corradini P (1960) Nuovo Cimento Suppl 15:9

    CAS  Google Scholar 

  112. Sueshiro K, Takayanagi M (1970) J Macromol Sci Phys B4:39

    Google Scholar 

  113. Rastogi S, Ungar G (1992) Macromolecules 25:1445

    Article  CAS  Google Scholar 

  114. Mark JE (1967) J Am Chem Soc 89:6829

    CAS  Google Scholar 

  115. Chu B, Wu C, Zuo J (1987) Macromolecules 20:700

    CAS  Google Scholar 

  116. Stockmayer WH (1988) In: Nagasawa M (ed) Molecular Conformation and Dynamics of Macromolecules in Condensed Systems. Elsevier, Amsterdam

    Google Scholar 

  117. Wagner HL, Flory PJ (1952) J Am Chem Soc 74:195

    CAS  Google Scholar 

  118. Mark JE (1966) J Am Chem Soc 88:4354

    CAS  Google Scholar 

  119. Poddubbnyi YaI, Erenberg YeG, Yeremina MA (1968) Vysokomol Soedin Ser A 10:1381

    Google Scholar 

  120. Cotts PM, Miller RD, Trefonas PT III, West R, Fickes GN (1987) Macromolecules 20:1046

    Article  CAS  Google Scholar 

  121. Neuburger N, Bahar I, Mattice WL (1992) Macromolecules 25:2447

    Article  CAS  Google Scholar 

  122. Godovsky YuK, Papkov VS (1989) Adv Polym Sci 88:129

    Google Scholar 

  123. Molenberg A, Möller M, Sautter E (1997) Progr Polym Sci 22:1133

    Article  CAS  Google Scholar 

  124. Papkov VS, Godovsky YuK, Svistunov VS, Litvinov VM, Zhdanov AA (1984) J Polym Sci Polym Chem Ed 22:3617

    CAS  Google Scholar 

  125. Beatty CL, Karasz FE (1975) J Polym Sci Polym Phys Ed 13:971

    CAS  Google Scholar 

  126. Tsvankin DY, Papkov VS, Zhukov VP, Godovsky YK, Svistunov VS, Zhdanov AA (1985) J Polym Sci Polym Chem Ed 23:1043

    CAS  Google Scholar 

  127. Mark JE, Ciu DS, Su TK (1978) Polymer 19:407

    Article  CAS  Google Scholar 

  128. Kögler G, Loufakis K, Möller M (1990) Polymer 31:1538

    Google Scholar 

  129. Möller M, Siffrin S, Kögler G, Ölfin D (1990) Macromol Chem Macromol Symp 34:171

    Google Scholar 

  130. Out GJJ, Turetskii AA, Möller M, Ölfin D (1994) Macromolecules 27:3310

    Article  CAS  Google Scholar 

  131. Out GJJ, Turetskii AA, Möller M (1995) Macromol Chem Rapid Commun 16:107

    Article  CAS  Google Scholar 

  132. Lee CL, Emerson FA J (1967) Polym Sci A2 5:829

    CAS  Google Scholar 

  133. Masuko T, Simeone RL, Magill JH, Plazek DJ (1984) Macromolecules 17:2857

    Article  CAS  Google Scholar 

  134. Kojima M, Magill JH (1985) Polymer 26:1971

    Article  CAS  Google Scholar 

  135. Kojima M, Kluge W, Magill JH (1984) Macromolecules 17:1421

    Article  CAS  Google Scholar 

  136. Schneider NS, Desper CR, Singler RE (1976) J Appl Polym Sci 20:3087

    Article  CAS  Google Scholar 

  137. Kojima M, Magill JH (1989) Polymer 30:579

    CAS  Google Scholar 

  138. Sun DC, Magill JH (1987) Polymer 28:1243

    CAS  Google Scholar 

  139. Tarazona MP (1994) Polymer 35:819

    Article  CAS  Google Scholar 

  140. Bravo J, Tarazona MP, Saiz E (1991) Macromolecules 24:4089

    Article  CAS  Google Scholar 

  141. Young SG, Kojima M, Magill JH, Lin FT (1992) Polymer 33:3215

    CAS  Google Scholar 

  142. Kojima M, Young SG, Magill JH (1992) Polymer 33:4538

    Article  CAS  Google Scholar 

  143. Desper CR, Schneider NS (1976) Macromolecules 9:424

    Article  CAS  Google Scholar 

  144. Magill JH, Riekel C (1986) Makromol Chem Rapid Commun 7:287

    CAS  Google Scholar 

  145. Hozumi H, Kohama C, Yonetake K, Masuko T (1991) J Mater Sci Lett 10:1187

    Article  CAS  Google Scholar 

  146. Meille SV, Porzio W, Allegra G, Audisio G, Gleria M (1986) Makromol Chem Rapid Commun 7:217

    CAS  Google Scholar 

  147. Meille SV, Porzio W, Bolognesi A, Gleria M (1987) Makromol Chem Rapid Commun 8:43

    CAS  Google Scholar 

  148. Nakamura H, Miyata T, Yonetake K, Masuko T, Kojima M (1995) Makromol Chem Rapid Commun 16:189

    CAS  Google Scholar 

  149. Matsubayashi H, Chatani Y, Tadokoro H, Dumas P, Spassky N, Sigwalt P (1977) Macromolecules 10:996

    Article  CAS  Google Scholar 

  150. De Santis P, Kovacs A (1968) J Biopolym 6:299

    Google Scholar 

  151. Hoogsteen W, Postema AR, Pennings AJ, Ten Brinke G, Zugenmaier P (1990) Macromolecules 23:634

    Article  CAS  Google Scholar 

  152. Ikada Y, Jamshidi K, Tsuji H, Hyon SH (1987) Macromolecules 20:904

    Article  CAS  Google Scholar 

  153. Brizzolara D, Cantow HJ, Diederichs K, Keller E, Domb AJ (1996) Macromolecules 29:191

    Article  CAS  Google Scholar 

  154. Cabassi F, Porzio W, Ricci G, Brückner S, Meille SV, Porri L (1988) Makromol Chem 189:2135

    Article  CAS  Google Scholar 

  155. Brückner S, Meille SV, Porzio W, Ricci G (1988) Makromol Chem 189:2145

    Google Scholar 

  156. Ferro DR, Brückner S, Meille SV, W, Ragazzi M (1992) Macromolecules 25:5231

    Google Scholar 

  157. Lovinger AJ, Lotz B, Davis DD, Schumacher M (1994) Macromolecules 27w:6603

    Google Scholar 

  158. Lovinger AJ, Lotz B, Davis DD, Padden Jr FJ (1993) Macromolecules 26:3494

    Article  CAS  Google Scholar 

  159. De Rosa C, Auriemma F, Corradini P (1996) Macromolecules 29:7452

    Google Scholar 

  160. De Rosa C, Auriemma F, Vinti V, Galimberti M (1998) Macromolecules 31:6206

    Google Scholar 

  161. Meille SV, Farina A, Brückner S (2002) Polymer Preprints 43:183

    CAS  Google Scholar 

  162. Meille SV, Farina A, Corradi E, Brückner S (in preparation)

    Google Scholar 

  163. Bassi IW, Bonsignori O, Lorenzi GP, Pino P, Corradini P, Temussi PA (1971) J Polym Sci A2 9:193

    Article  CAS  Google Scholar 

  164. Tanaka T, Chatani Y, Tadokoro H (1974) J Polym Sci Polym Phys Ed 12:505

    Google Scholar 

  165. Tadokoro H, Yasumoto T, Murahashi S, Nitta I (1960) J Polym Sci 44:266

    Article  CAS  Google Scholar 

  166. Carazzolo G (1963) J Polym Sci A 1:1573

    Google Scholar 

  167. Uchida T, Tadokoro H (1967) J Polym Sci A2 5:63

    Article  CAS  Google Scholar 

  168. Carazzolo G, Mammi M (1963) J Polym Sci A 1:965

    CAS  Google Scholar 

  169. Carazzolo G, Valle G (1966) Makromol Chem 90:66

    Article  CAS  Google Scholar 

  170. Carazzolo G, Valle G (1965) J Polym Sci A 3:4013

    CAS  Google Scholar 

  171. Carazzolo G, Mammi M (1967) Makromol Chem 100:28

    CAS  Google Scholar 

  172. Natta G (1960) Makromol Chem 35:94

    Article  CAS  Google Scholar 

  173. Corradini P, Martuscelli E, Montagnoli G, Petraccone V (1970) Eur Polym J 6:1201

    CAS  Google Scholar 

  174. Natta G, Corradini P (1963) Chim Ind (Milano) 45:299

    CAS  Google Scholar 

  175. Takahashi Y, Tadokoro H, Hirano T, Sato A, Tsuruta T (1975) J Polym Sci Polym Phys Ed 13:285

    CAS  Google Scholar 

  176. Yokouchi M, Chatani Y, Tadokoro H, Tani H (1974) Polym J 6:248

    CAS  Google Scholar 

  177. Cornibert J, Marchessault RH (1972) J Mol Biol 71:735

    CAS  Google Scholar 

  178. Yokouchi M, Chatani Y, Tadokoro H, Teranishi K, Tani H (1973) Polymer 14:267

    Article  CAS  Google Scholar 

  179. Brückner S, Meille SV, Malpezzi L, Cesaro A, Navarini L, Tombolini R (1988) Macromolecules 21:967

    Google Scholar 

  180. Yokouchi M, Chatani Y, Tadokoro H (1976) J Polym Sci Polym Phys Ed 14:81

    CAS  Google Scholar 

  181. Tashiro K, Kobayashi M, Tadokoro H (1977) Macromolecules 10:413

    Article  CAS  Google Scholar 

  182. Kusanagi H, Tadokoro H, Chatani Y, Suehiro K (1977) Macromolecules 10:405

    CAS  Google Scholar 

  183. Purevsuren B, Allegra G, Meille SV, Farina A, Porri L, Ricci G (1998) Polym J 30:431

    Article  CAS  Google Scholar 

  184. Puterman M, Kolpak FJ, Blackwell J, Lando JB (1977) J Polym Sci Polym Phys 15:805

    CAS  Google Scholar 

  185. Okihara T, Cartier L, Alberda von Ekenstein GOR, Lotz B (1998) Polymer 40:1

    Google Scholar 

  186. Brückner S, De Rosa C, Corradini P, Porzio W, Musco A (1996) Macromolecules 29:1535

    Google Scholar 

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Acknowledgments

Financial support from “Ministero dell'Istruzione, dell'Università e della Ricerca” (PRIN 2003 and PRIN2004) is greatfully acknowledged.

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  1. Dipartimento di Chimica, Materiali e Ingegneria Chimica “G. Natta”, Politecnico di Milano, Via L. Mancinelli 7, 20131, Milano, Italy

    Giuseppe Allegra & Stefano Valdo Meille

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  1. Giuseppe Allegra
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Correspondence to Stefano Valdo Meille .

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Giuseppe Allegra

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Allegra, G., Meille, S.V. Pre-Crystalline, High-Entropy Aggregates: A Role in Polymer Crystallization?. In: Allegra, G. (eds) Interphases and Mesophases in Polymer Crystallization III. Advances in Polymer Science, vol 191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/12_009

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