Mathematical Theory of Sedimentation Analysis - 1st Edition - ISBN: 9781483167367, 9781483194844

Mathematical Theory of Sedimentation Analysis

1st Edition

Physical Chemistry: A Series of Monographs

Authors: Hiroshi Fujita
Editors: Eric Hutchinson P. Van Rysselberghe
eBook ISBN: 9781483194844
Imprint: Academic Press
Published Date: 1st January 1962
Page Count: 328
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Description

Mathematical Theory of Sedimentation Analysis presents the flow equations for the ultracentrifuge. This book is organized into two parts encompassing six chapters that evaluate the systems of reacting components, the differential equations for the ultracentrifuge, and the case of negligible diffusion. The first chapters consider the Archibald method for molecular weight determination; pressure-dependent sedimentation; expressions for the refractive index and its gradient; relation between refractive index and concentration; and the analysis of Gaussian distribution. Other chapters deal with the basic equations for three-component systems, the extension of the Archibald method to multicomponent systems, and the case of independent sedimentation and diffusion. These topics are followed by a presentation of the extrapolation procedures due to Oth and Desreux. The last chapters are devoted to the examination of the Johnston-Ogston effect and sedimentation with a differential boundary.
The book can provide useful information to chemists, physicists, students, and researchers.

Table of Contents


Foreword

Preface

Introduction

Part I Transport

Chapter I Flow Equations for the Ultracentrifuge

1.1 Introduction

1.2 The Coordinate System

1.3 Definitions of Flows

1.4 Phenomenological Equations and Coefficients

1 5 Flow Equations for Sedimentation in the Ultracentrifuge

1 6 The Svedberg Equation and Its Extensions

1.7 The Differential Equations for the Ultracentrifuge

1.8 Electrolyte Solutions

1.9 Tests of the Onsager Reciprocal Relation

1.10 Systems of Reacting Components

Appendices

References

Chapter II Two-Component Systems

A. Basic Equations

B. The Case of Negligible Diffusion

C. Solutions of the Faxén Type

D. Solutions of the Archibald Type

E. The Archibald Method for Molecular Weight Determination

F. Pressure-Dependent Sedimentation

Appendices

References

Chapter III Multicomponent Systems

A. Relation between Refractive Index and Concentration

B. Paucidisperse Systems

C. Polydisperse Systems

Appendix

References

Chapter IV Chemically Reacting Systems

A. Basic Equations

B. Polymerization

C. Isomerization

D. Complex Formation

Appendix

References

E. Determination of the Molecular Weight Distribution

F. Other Problems

Appendices

References

Part II Equilibrium

Chapter V Sedimentation-Diffusion Equilibrium

A. Introduction

B. Two-Component Systems

C. Three-Component Systems

D. Polymer Solutions

Chapter VI Approach to Sedimentation Equilibrium

6.1 Introductory Remarks

6.2 Prediction of the Time Required to Reach Equilibrium

6.3 Measurement of the Diffusion Coefficient from the Rate of Approach to Equilibrium

6.4 Nazarian's Approach to the Determination of D

6.5 Application of The Synthetic Boundary Cell

References

Author Index

Subject Index


Details

No. of pages:
328
Language:
English
Copyright:
© Academic Press 1962
Published:
Imprint:
Academic Press
eBook ISBN:
9781483194844

About the Author

Hiroshi Fujita

About the Editor

Eric Hutchinson

P. Van Rysselberghe