Knowledge (XXG)

Gel point

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42:, as reflected in a loss in fluidity. After the monomer/polymer solution has passed the gel point, internal stress builds up in the gel phase, which can lead to volume shrinkage. Gelation is characteristic of polymerizations that include 192:
For example, a polymer with Nā‰ˆ200 is able to reach the gel point with only 0.5% of monomers reacting. This shows the ease at which polymers are able to form infinite networks. The critical extent of reaction for
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will not. The gel is often a small percentage of the mixture, even though it greatly influences the properties of the bulk.
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Paul, Hiemenz C., and Lodge P. Timothy. Polymer Chemistry. Second ed. Boca Raton: CRC P, 2007. 381-389
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appears at the gel point. Assuming that it is possible to measure the extent of reaction,
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of a solution containing polymerizable components. At the gel point, a solution undergoes
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that can form 2- or 3-dimensional networks. For example, the condensation of a
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can be determined as a function of the properties of the monomer mixture,
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Abrupt change in the viscosity of a solution of polymerizable materials
98:, the gel point can be determined. The critical extent of reaction 51: 399:
Pinner, S.H. (1956). "Functionality of non-equivalent mixtures".
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will give rise to a gel whereas the same dicarboxylic acid and a
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The Elements of Polymer Science and Engineering, 3rd Edition
182:{\displaystyle p_{c}={\frac {1}{N-1}}\approx {\frac {1}{N}}} 266: 243: 223: 203: 134: 104: 76: 319:{\displaystyle p_{c}={\frac {1}{\sqrt {r+rp(f-2)}}}} 318: 249: 229: 209: 181: 117: 82: 8: 125:for the gel point to be formed is given by: 280: 271: 265: 242: 222: 202: 169: 148: 139: 133: 109: 103: 75: 357: 438:Rudin, Alfred; Choi, Phillip (2012). 367:Introduction to Polymers, 2nd Edition 7: 14: 442:. Elsevier Science. p. 410. 365:R.J. Young; P. A. Lovell (1991). 369:. London: Chapman & Hall. 310: 298: 1: 90:, defined as the fraction of 34:is an abrupt change in the 488: 421:10.1002/pol.1956.120219718 401:Journal of Polymer Science 341:Cold filter plugging point 18: 19:Not to be confused with 62:Mathematical definition 320: 251: 231: 211: 183: 119: 84: 321: 252: 232: 212: 184: 120: 118:{\displaystyle p_{c}} 85: 21:Gel point (petroleum) 264: 241: 221: 201: 132: 102: 74: 472:Chemical properties 413:1956JPoSc..21..153P 316: 247: 227: 207: 179: 115: 80: 449:978-0-12-382178-2 314: 313: 250:{\displaystyle f} 230:{\displaystyle p} 210:{\displaystyle r} 177: 164: 83:{\displaystyle p} 48:dicarboxylic acid 28:polymer chemistry 479: 453: 425: 424: 396: 390: 387: 381: 380: 362: 325: 323: 322: 317: 315: 285: 281: 276: 275: 256: 254: 253: 248: 236: 234: 233: 228: 216: 214: 213: 208: 188: 186: 185: 180: 178: 170: 165: 163: 149: 144: 143: 124: 122: 121: 116: 114: 113: 89: 87: 86: 81: 487: 486: 482: 481: 480: 478: 477: 476: 467:Polymer physics 457: 456: 450: 437: 434: 432:Further reading 429: 428: 407:(97): 153ā€“157. 398: 397: 393: 388: 384: 377: 364: 363: 359: 354: 332: 267: 262: 261: 239: 238: 219: 218: 199: 198: 153: 135: 130: 129: 105: 100: 99: 94:that appear in 72: 71: 68:polymer network 64: 24: 17: 12: 11: 5: 485: 483: 475: 474: 469: 459: 458: 455: 454: 448: 433: 430: 427: 426: 391: 382: 375: 356: 355: 353: 350: 349: 348: 343: 338: 331: 328: 327: 326: 312: 309: 306: 303: 300: 297: 294: 291: 288: 284: 279: 274: 270: 246: 226: 206: 190: 189: 176: 173: 168: 162: 159: 156: 152: 147: 142: 138: 112: 108: 79: 63: 60: 15: 13: 10: 9: 6: 4: 3: 2: 484: 473: 470: 468: 465: 464: 462: 451: 445: 441: 436: 435: 431: 422: 418: 414: 410: 406: 402: 395: 392: 386: 383: 378: 376:0-412-30640-9 372: 368: 361: 358: 351: 347: 344: 342: 339: 337: 334: 333: 329: 307: 304: 301: 295: 292: 289: 286: 282: 277: 272: 268: 260: 259: 258: 244: 224: 204: 196: 174: 171: 166: 160: 157: 154: 150: 145: 140: 136: 128: 127: 126: 110: 106: 97: 93: 77: 69: 61: 59: 57: 53: 49: 45: 41: 37: 33: 29: 22: 439: 404: 400: 394: 385: 366: 360: 191: 66:An infinite 65: 44:crosslinkers 31: 25: 96:cross-links 461:Categories 352:References 336:Pour point 346:Petroleum 305:− 167:≈ 158:− 36:viscosity 32:gel point 330:See also 195:gelation 92:monomers 40:gelation 409:Bibcode 446:  373:  237:, and 50:and a 30:, the 52:triol 444:ISBN 371:ISBN 56:diol 417:doi 405:XXI 26:In 463:: 415:. 403:. 257:: 217:, 452:. 423:. 419:: 411:: 379:. 311:) 308:2 302:f 299:( 296:p 293:r 290:+ 287:r 283:1 278:= 273:c 269:p 245:f 225:p 205:r 175:N 172:1 161:1 155:N 151:1 146:= 141:c 137:p 111:c 107:p 78:p 23:.

Index

Gel point (petroleum)
polymer chemistry
viscosity
gelation
crosslinkers
dicarboxylic acid
triol
diol
polymer network
monomers
cross-links
gelation
Pour point
Cold filter plugging point
Petroleum
ISBN
0-412-30640-9
Bibcode
1956JPoSc..21..153P
doi
10.1002/pol.1956.120219718
ISBN
978-0-12-382178-2
Categories
Polymer physics
Chemical properties

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