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.

Contenu

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