Modern theory of polymer solutions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Harper & Row
1971
|
| Series: | Harper's chemistry series.
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII,419 S.m.Abb.u.Tab. |
| ISBN: | 0060473096 |
Staff View
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Record in the Search Index
| _version_ | 1804119928335237120 |
|---|---|
| adam_text | Modern Theory
of Polymer Solutions
Hiromi Yamakawa
Kyoto University
Harper amp; Row, Publishers
NewYork, Evanston, San Francisco, London
Contents
Chapter I Introduction 1
1; Survey of the Field 1
2 Scope and Introductory Remarks 3
Chapter II Statistics of Ideal Polymer Chains:
Random-Flight Problems 5
3 Introduction 5
4 The Markoff Method for the General Problem of Random
Flights 8
5 Distribution of the End-to-End Distance and Related
Quantities 10
5a Exact Expression for the Bond Probability 11
5b Approximate Expression for the Bond Probability 16
6 The Wang-Uhlenbeck Method for Multivariate Gaussian
Distributions 18
7 Distribution of a Segment About the Center of Mass and
Related Quantities 21
7a Distribution of a Segment About the Center of Mass 21
7b Radius of Gyration 23
7c Radii of Gyration with R Fixed 24
8 Distribution of the Radius of Gyration 26
8a Distribution of the Quasi-radius of Gyration 26
8b Distribution of the Radius of Gyration 27
9 Remarks 34
9a Short-range Interferences and Unperturbed Molecular
Dimensions 35
9b Branched and Ring Polymers 46
9c Wormlike Chain Model for Stiff Chains 52
Appendix II A Method of Steepest Descents 57
Appendix II B Orthogonal Transformations 59
Appendix II C Distribution of the Quasi-radius of Gyration
with S Fixed 61
64
References
vi CONTENTS
Chapter III Statistics of Real Polymer Chains:
Excluded-Volume Effect 67
10 Introduction 67
11 The Flory Theory 69
12 The Direction of Developments Following the Flory Theory 73
12a Ideal-Chain Type 74
12b Production-Chain Type 76
12c Real-Chain Type 77
13 Perturbation Theory (A): Distribution Function Method 79
14 Perturbation Theory (B): Cluster Expansion Method 85
15 Approximate Closed Expressions 94
15a Approximate Expressions Derived from the Potential of
Mean Force with R or S Fixed 94
15b The Differential-Equation Approach 102
16 Asymptotic Solution at Large z 110
17 Remarks 118
17a Branched and Ring Polymers 118
17b Numerical Calculations on Lattice Chains 120
17c General Comments 127
Appendix III A The Distribution Function, Markoff Process,
and Diffusion Equation 128
Appendix NIB The Probability Densities for Segment Contacts 130
Appendix III C Perturbation Theory for a Two-Dimensional
Chain 130
References 131
Chapter IV Thermodynamic Properties of Dilute Solutions 134
18 Introduction 134
19 The McMillan-Mayer General Theory of Solutions 136
20 The Second Virial Coefficient (A): Random-Flight Chains 146
20a Perturbation Theory 146
20b Approximate Closed Expressions 153
21 The Second Virial Coefficient (B): Real Polymer Chains with
Intramolecular Interactions 165
21a Perturbation Theory 165
21b Approximate Treatments 167
22 The Third Virial Coefficient 170
22a Perturbation Theory 170
22b Approximate Closed Expressions 172
23 Remarks 175
23a Heterogeneous Polymers 175
23b Branched and Ring Polymers 177
23c General Comments 178
Appendix IV A The Second Virial Coefficient for Rigid
Macromolecules 180
Appendix IV B The Third Virial Coefficient for Rigid
Sphere Molecules 183
References 184
Chapter V Light Scattering from Dilute Solutions 186
24 Introduction 186
25 Scattering by Independent Small Isotropic Particles 188
26 Fluctuation Theory 193
26a General Theory 194
Contents vii
26b Heterogeneous Polymers 200
26c Mixed-Solvent Systems 202
27 Distribution Function Theory 206
27a General Theory 208
27b Intramolecular Interferences and Angular Dissymmetries 211
27c Intermolecular Interferences 215
27d Heterogeneous Polymers 217
27e Mixed-Solvent Systems 222
28 Remarks and Topics 227
28a Effects of the Optical Anisotropies 227
28b Copolymers 232
28c Critical Opalescence 236
28d Some Other Topics 242
Appendix V A The Electromagnetic Field Due to an
Oscillating Electric Dipole 243
Appendix V B Angular Distributions for Rigid Sphere and
Rod Molecules 246
Appendix V C The Space-Time Correlation Function 248
References 249
Chapter VI Frictional and Dynamical Properties of
Dilute Solutions 252
29 Introduction 252
30 Some Fundamentals 253
30a The Viscosity Coefficient 254
30b The Friction Coefficient 260
30c Brownian Motion 262
31 The Hydrodynamic Interaction: The Kirkwood-Riseman Theory 264
31a Intrinsic Viscosities 266
31b Translational and Rotatory Friction Coefficients 271
32 The Diffusion-Equation Approach (A): The Kirkwood General
Theory 273
33 The Diffusion-Equation Approach (B): The Spring and Bead
Model 281
34 The Nonaveraged Oseen Tensor and the Viscosity Constant t 0 291
35 Excluded-Volume Effects 299
35a Intrinsic Viscosities 299
35b Friction Coefficients 310
36 Remarks and Some Other Topics 311
36a Concentration Dependence 311
36b Non-Newtonian Viscosities 314
36c Branched and Ring Polymers 316
36d Rigid Rods and Stiff Chains 324
36e Some Other Problems 337
Appendix VI A The Equation of Motion for Viscous Fluids 348
Appendix VI B The Oseen Hydrodynamic Interaction Tensor 349
Appendix VI C The Intrinsic Viscosity and Friction Coefficient
of Rigid Sphere Macromolecules 351
References 353
Chapter VII Comparison with Experiment 358
37 Introduction 358
38 Determination of Molecular Weights, Molecular Dimensions,
and Second Virial Coefficients 359
39 Determination of Unperturbed Molecular Dimensions 364
viii CONTENTS
40 Correlations Between the Expansion Factor and the Second
Vina! Coefficient 372
41 Correlations Between the Expansion Factor and the Intrinsic
Viscosity 379
42 The Two Molecular Parameters 386
42a The Conformation Factor 387
42b The Binary Cluster Integral 389
References 391
Chapter VIII Concluding Remarks 394
Author Index 399
|
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| discipline | Chemie / Pharmazie Physik |
| format | Book |
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| id | DE-604.BV005746315 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:33:59Z |
| institution | BVB |
| isbn | 0060473096 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003587749 |
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| physical | XIII,419 S.m.Abb.u.Tab. |
| psigel | TUB-nveb |
| publishDate | 1971 |
| publishDateSearch | 1971 |
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| publisher | Harper & Row |
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| series2 | Harper's chemistry series. |
| spelling | Yamakawa, Hiromi 1931- Verfasser (DE-588)115588531 aut Modern theory of polymer solutions New York Harper & Row 1971 XIII,419 S.m.Abb.u.Tab. txt rdacontent n rdamedia nc rdacarrier Harper's chemistry series. Oplossingen (chemie) gtt Polymeren gtt Polymères Solutions (Chimie) Solutions de polymère ram Statistische mechanica gtt Polymer solutions Polymerlösung (DE-588)4175242-9 gnd rswk-swf Polymerlösung (DE-588)4175242-9 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003587749&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yamakawa, Hiromi 1931- Modern theory of polymer solutions Oplossingen (chemie) gtt Polymeren gtt Polymères Solutions (Chimie) Solutions de polymère ram Statistische mechanica gtt Polymer solutions Polymerlösung (DE-588)4175242-9 gnd |
| subject_GND | (DE-588)4175242-9 |
| title | Modern theory of polymer solutions |
| title_auth | Modern theory of polymer solutions |
| title_exact_search | Modern theory of polymer solutions |
| title_full | Modern theory of polymer solutions |
| title_fullStr | Modern theory of polymer solutions |
| title_full_unstemmed | Modern theory of polymer solutions |
| title_short | Modern theory of polymer solutions |
| title_sort | modern theory of polymer solutions |
| topic | Oplossingen (chemie) gtt Polymeren gtt Polymères Solutions (Chimie) Solutions de polymère ram Statistische mechanica gtt Polymer solutions Polymerlösung (DE-588)4175242-9 gnd |
| topic_facet | Oplossingen (chemie) Polymeren Polymères Solutions (Chimie) Solutions de polymère Statistische mechanica Polymer solutions Polymerlösung |
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