Fujita / Hutchinson Mathematical Theory of Sedimentation Analysis

Physical Chemistry: a Series of Monographs
1. Auflage 1962
ISBN: 978-1-4831-9484-4
Verlag: Elsevier Reference Monographs
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 328 Seiten

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.

Autoren/Hrsg.

Fujita, Hiroshi

Hutchinson, Eric

Inhaltsverzeichnis

1;Front Cover;1
2;Mathematical Theory of Sedimentation Analysis;4
3;Copyright Page;5
4;Table of Contents;10
5;Foreword;6
6;Preface;8
7;Introduction;14
8;PART I: Transport;18
8.1;CHAPTER I. Flow Equations for the Ultracentrifuge;20
8.1.1;1.1 Introduction;20
8.1.2;1.2 The Coordinate System;21
8.1.3;1.3 Definitions of Flows;22
8.1.4;1.4 Phenomenological Equations and Coefficients;27
8.1.5;1.5 Flow Equations for Sedimentation in the Ultracentrifuge;32
8.1.6;1.6 The Svedberg Equation and Its Extensions;38
8.1.7;1.7 The Differential Equations for the Ultracentrifuge;40
8.1.8;1.8 Electrolyte Solutions;42
8.1.9;1.9 Tests of the Onsager Reciprocal Relation;51
8.1.10;1.10 Systems of Reacting Components;52
8.1.11;REFERENCES;58
8.2;CHAPTER II. Two-Component Systems;59
8.2.1;A. BASIC EQUATIONS;59
8.2.2;B. THE CASE OF NEGLIGIBLE DIFFUSION;62
8.2.3;C. SOLUTIONS OF THE FAXÉN TYPE;77
8.2.4;D. SOLUTIONS OF THE ARCHIBALD TYPE;120
8.2.5;E. THE ARCHIBALD METHOD FOR MOLECULAR WEIGHT DETERMINATION;138
8.2.6;F. PRESSURE-DEPENDENT SEDIMENTATION;143
8.2.7;REFERENCES;155
8.3;CHAPTER III. Multicomponent Systems;157
8.3.1;A. RELATION BETWEEN REFRACTIVE INDEX AND CONCENTRATION;157
8.3.2;B. PAUCIDISPERSE SYSTEMS;161
8.3.3;C. POLYDISPERSE SYSTEMS;179
8.3.4;REFERENCES;205
8.4;CHAPTER IV. Chemically Reacting Systems;207
8.4.1;A. BASIC EQUATIONS;207
8.4.2;B. POLYMERIZATION;212
8.4.3;C. ISOMERIZATION;230
8.4.4;D. COMPLEX FORMATION;233
8.4.5;REFERENCES;244
9;PART II: Equilibrium;246
9.1;CHAPTER V. Sedimentation-Diffusion Equilibrium;248
9.1.1;A. INTRODUCTION;248
9.1.2;B. TWO-COMPONENT SYSTEMS;250
9.1.3;C. THREE-COMPONENT SYSTEMS;267
9.1.4;D. POLYMER SOLUTIONS;276
9.1.5;E. DETERMINATION OF THE MOLECULAR WEIGHT DISTRIBUTION;292
9.1.6;F. OTHER PROBLEMS;303
9.1.7;REFERENCES;310
9.2;CHAPTER VI. Approach to Sedimentation Equilibrium;312
9.2.1;6.1 Introductory Remarks;312
9.2.2;6.2 Prediction of the Time Required to Reach Equilibrium;312
9.2.3;6.3 Measurement of the Diffusion Coefficient from the Rate of Approach to Equilibrium;316
9.2.4;6.4 Nazarian's Approach to the Determination of D;317
9.2.5;6.5 Application of the Synthetic Boundary Cell;318
9.2.6;REFERENCES;320
10;Author Index;322
11;Subject Index;325