STATISTICS OF CHAIN CONFORMATIONS

The following sections are included:

• Introduction

• Small Molecules

• Larger Molecules, Statistical Variation of Molecular Conformations

• Statistical Segment Model

• Generalization to High Polymers

• Polymer Chains Containing Two Kinds of Atoms

• Model Chains with Restricted Rotation and No Interaction Among the φ's

• Rotational Isomeric State (RIS) Approximation

• Chains with Interactions between φ Values of Neighboring Monomers

• Asymmetric Barriers

• Comparison with Experiment

• Chain End-to-End Distribution Functions

  • One Dimensional Case

  • Extension to a Three Dimensional Chain

  • Extension to Non-Gaussian Case

• References

• Appendix 2A - Statistical Mechanics

• References

• Appendix 2B - Vector Analysis

• References

• Appendix 2C - Radius of Gyration

• Appendix 2D. Evaluation of (a_m+n · a_m)

• Appendix 2E. Restricted Rotation with Symmetrical Barrier

• Appendix 2F. Rotational Isomeric State (RIS) Approximation

• References

• Appendix 2G. Random Walk of Gaussian Chains

• References

• Appendix 2H. Radius of Gyration, Size and Shape