Polymer Solutions. An Introduction to Physical Properties - I.Teraoka, J.Wiley, 2002.pdf

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Polymer Solutions: An Introduction to Physical Properties. Iwao Teraoka
Copyright © 2002 John Wiley & Sons, Inc.
ISBNs: 0-471-38929-3 (Hardback); 0-471-22451-0 (Electronic)
POLYMER SOLUTIONS
 
POLYMER SOLUTIONS
An Introduction to Physical Properties
IWAO TERAOKA
Polytechnic University
Brooklyn, New York
A JOHN WILEY & SONS, INC., PUBLICATION
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Copyright © 2002 by John Wiley & Sons, Inc., New York. All rights reserved.
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ISBN 0-471-22451-0
This title is also available in print as ISBN 0-471-38929-3.
For more information about Wiley products, visit our web site at www.Wiley.com.
 
To my wife, Sadae
 
CONTENTS
Preface
xv
1 Models of Polymer Chains
1
1.1 Introduction
1
1.1.1 Chain Architecture
1
1.1.2 Models of a Linear Polymer Chain
2
1.1.2.1 Models in a Continuous Space
2
1.1.2.2 Models in a Discrete Space
4
1.1.3 Real Chains and Ideal Chains
5
1.2 Ideal Chains
7
1.2.1 Random Walk in One Dimension
7
1.2.1.1 Random Walk
7
1.2.1.2 Mean Square Displacement
9
1.2.1.3 Step Motion
10
1.2.1.4 Normal Distribution
10
1.2.2 Random Walks in Two and Three Dimensions
12
1.2.2.1 Square Lattice
12
1.2.2.2 Lattice in Three Dimensions
13
1.2.2.3 Continuous Space
14
1.2.3 Dimensions of Random-Walk Chains
15
1.2.3.1 End-to-End Distance and Radius of Gyration
15
1.2.3.2 Dimensions of Ideal Chains
18
1.2.3.2 Dimensions of Chains with Short-Range Interactions
19
1.2.4 Problems
20
1.3 Gaussian Chain
23
1.3.1 What is a Gaussian Chain?
23
1.3.1.1 Gaussian Distribution
23
1.3.1.2 Contour Length
25
1.3.2 Dimension of a Gaussian Chain
25
1.3.2.1 Isotropic Dimension
25
1.3.2.2 Anisotropy
26
vii
 

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