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Excluded volume

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88:, the set of conditions at which an experiment can be conducted that causes the excluded volume effect to be neutralized. At the theta point, the chain reverts to ideal chain characteristics. The long-range interactions arising from excluded volume are eliminated, allowing the experimenter to more easily measure short-range features such as structural geometry, bond rotation potentials, and steric interactions between near-neighboring groups. Flory correctly identified that the chain dimension in polymer melts would have the size computed for a chain in ideal solution if excluded volume interactions were neutralized by experimenting at the theta point. 180: 78:
In polymer science, excluded volume refers to the idea that one part of a long chain molecule can not occupy space that is already occupied by another part of the same molecule. Excluded volume causes the ends of a polymer chain in a solution to be further apart (on average) than they would be were
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In liquid state theory, the 'excluded volume' of a molecule is the volume that is inaccessible to other molecules in the system as a result of the presence of the first molecule. The excluded volume of a hard sphere is eight times its volume—however, for a two-molecule system, this volume is
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model). The recognition that excluded volume was an important factor in analyzing long-chain molecules in solutions provided an important conceptual breakthrough, and led to the explanation of several puzzling experimental results of the day. It also led to the concept of the
60:. The calculation of the excluded volume for particles with non-spherical shapes is usually difficult, since it depends on the relative orientation of the particles. The distance of closest approach of hard 61: 56:
distributed among the two particles, giving the conventional result of four times the volume; this is an important quantity in the
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and their excluded area has been recently considered.
232: 168:, Oxford University Press, New York, 2003, p 49 215: 153:An Introduction to Statistical Thermodynamics 127:An Introduction to Statistical Thermodynamics 222: 208: 155:,Dover Publications, New York, 1986, p 225 129:,Dover Publications, New York, 1986, p 288 79:there no excluded volume (e.g. in case of 50: 14: 233: 67: 174: 142:, Academic Press, 3rd Edition, p 423 24: 25: 262: 178: 43:. Excluded volume gives rise to 39:molecules shortly thereafter by 58:Van der Waals equation of state 158: 145: 132: 119: 13: 1: 113: 194:. You can help Knowledge by 164:Rubinstein M., Colby R. H., 98:Distance of closest approach 7: 91: 10: 267: 173: 71: 35:in 1934 and applied to 74:Excluded volume effect 51:In liquid state theory 138:Mortimer, Robert G., 186:This article about 140:Physical Chemistry 68:In polymer science 31:was introduced by 246:Rubber properties 203: 202: 16:(Redirected from 258: 224: 217: 210: 182: 175: 169: 162: 156: 149: 143: 136: 130: 123: 108:Mayer f-function 45:depletion forces 21: 266: 265: 261: 260: 259: 257: 256: 255: 241:Polymer physics 231: 230: 229: 228: 188:polymer science 172: 166:Polymer Physics 163: 159: 150: 146: 137: 133: 124: 120: 116: 94: 76: 70: 53: 29:excluded volume 27:The concept of 23: 22: 18:Excluded Volume 15: 12: 11: 5: 264: 254: 253: 248: 243: 227: 226: 219: 212: 204: 201: 200: 183: 171: 170: 157: 144: 131: 117: 115: 112: 111: 110: 105: 103:Steric effects 100: 93: 90: 72:Main article: 69: 66: 52: 49: 9: 6: 4: 3: 2: 263: 252: 251:Polymer stubs 249: 247: 244: 242: 239: 238: 236: 225: 220: 218: 213: 211: 206: 205: 199: 197: 193: 189: 184: 181: 177: 176: 167: 161: 154: 148: 141: 135: 128: 122: 118: 109: 106: 104: 101: 99: 96: 95: 89: 87: 82: 75: 65: 63: 59: 48: 46: 42: 38: 34: 30: 19: 196:expanding it 185: 165: 160: 152: 151:Hill T. L., 147: 139: 134: 126: 125:Hill T. L., 121: 77: 54: 28: 26: 86:theta point 81:ideal chain 33:Werner Kuhn 235:Categories 114:References 41:Paul Flory 92:See also 62:ellipses 37:polymer 190:is a 192:stub 237:: 47:. 223:e 216:t 209:v 198:. 20:)

Index

Excluded Volume
Werner Kuhn
polymer
Paul Flory
depletion forces
Van der Waals equation of state
ellipses
Excluded volume effect
ideal chain
theta point
Distance of closest approach
Steric effects
Mayer f-function
Stub icon
polymer science
stub
expanding it
v
t
e
Categories
Polymer physics
Rubber properties
Polymer stubs

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