Ultracentrifugal Analysis in Theory and Experiment - 1st Edition - ISBN: 9781483144979, 9781483221229

Ultracentrifugal Analysis in Theory and Experiment

1st Edition

A Conference Sponsored by the National Academy of Sciences with the Financial Support of the National Science Foundation; Held at the Rockefeller Institute from June 18 to June 21, 1962

Editors: J. W. Williams
eBook ISBN: 9781483221229
Imprint: Academic Press
Published Date: 1st January 1963
Page Count: 300
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Ultracentrifugal Analysis: In Theory and Experiment aims to tackle some outstanding problems in sedimentation analysis. The book presents topics such as the thermodynamics of diffusion and sedimentation; diffusion and sedimentation in multicomponent systems; and the frictional formalism in the flow equations of sedimentation. The text also includes topics such as solutions of the general differential equation for the ultracentrifuge; the interpolation diagram for calculating model Schlieren patterns for reversibly interacting systems; and sedimentation of reversibly aggregating substances. Articles on the effects of charge on the sedimentation, the diffusion and the sedimentation equilibrium of colloidal electrolytes; the basic equilibrium equations; and the sedimentation equilibrium in reacting systems are also considered. The book further tackles articles on the optical systems for sedimentation analysis; computational methods of ultracentrifugation; separation cells; and the magnetic bearing for an ultracentrifuge. Chemists, physicists, and biologists will find the book invaluable.

Table of Contents

Participants in the Conference

The Aims of the Conference

Introductory Remarks

Part I Transport Theory

Thermodynamics of Diffusion and Sedimentation

I. Introduction

II. General Theory

III. Applications


Diffusion and Sedimentation in Multicomponent Systems

I. Introduction

II. Independently Moving Substances

III. Sedimentation Equilibrium

IV. Sedimentation Coefficients and Diffusion Coefficients

V. General Relation between Sedimentation and Diffusion

VI. Formulas for Two Substances

VII. Formulas for Three Substances


Frîctional Formalism in the Flow Equations of Sedimentation

I. Equivalence of the Lamm and Onsager Formulations

II. Flow Equations in Terms of Frictions

III. Component Transformations by Tensor Formalism


Solutions of the General Differential Equation for the Ultracentrifuge

I. Introduction

II. Simple Exact and Approximate Solutions

III. General Properties Suggesting Possible Experiments



Problems in the Determination of Molecular Weight Distributions by Sedimentation Transport

I. Introduction

II. Sedimentation in a Ө-Solvent

III. Effects of Pressure on Sedimentation Coefficient

IV. Concentration Effects

V. Concentration Dependence of s in Ѳ-Solvents



An Interpolation Diagram for Calculating Model Schlieren Patterns for Reversibly Interacting Systems

I. Introduction

II. Glossary

III. Relating Theory to Experiment

IV. Graphical Representation

V. Schlieren Pattern

VI. Example: Sedimentation of Pepsin and Albumin in Mixture

VII. Conclusion


Sedimentation of Reversibly Aggregating Substances

I. Introduction

II. Basic Postulates

III. Example



Effects of Charge on the Sedimentation, the Diffusion and the Sedimentation Equilibrium of Colloidal Electrolytes

I. Introduction

II. General Equations

III. Sedimentation Equilibrium, Sedimentation, and Diffusion

IV. The Quantities Derived from Experimental Diagrams

V. A Model of the Solution

VI. Final Equations for the Molecular Weight

VII. The Primary Charge Effect


Part II Eqiulibrium Theory

Basic Equilibrium Theory

I. Introduction

II. General Equations

III. Two-Component Systems

IV. Three-Component Systems

V. Polycomponent Systems


Sedimentation Equilibrium in Reacting Systems

I. Introduction

II. Theory

III. Discussion



The Transient State in Density-Gradient Centrifugation

I. The Continuity Equation for the Problem

II. The Equilibrium Distribution

III. The Transient Distribution

IV. Moments of the Transient Distribution

V. Possible Applications

VI. Effects of Density Heterogeneity

VII. Significance of the Quantity ó2/Æ)

VIII. Comparison with Experiment


Measurement of Density Heterogeneity by Sedimentation in Preformed Gradients

I. Introduction

II. The Time Needed for Sedimentation to Equilibrium in a Preformed Density Gradient

III. Duration of a Nonequilibrium Density Gradient

IV. Results and Computations

V. Appendix



Part III Practice

Optical Systems for Sedimentation Analysis

I. Introduction

II. General Comments

III. An Automatic, Direct-Recording, Photoelectric-Scanning Absorption Optical System


Computational Methods of Ultracentrifugation

I. Introduction

II. Minimum Apparent s-Rate in Preparative Ultracentrifugation

III. Geometrical Complications

IV. Moment Method of Computation

V. Computational Process

VI. Summary


Separation Cells

I. Introduction

II. Separation Cells

III. Characterization of Solutes

IV. Summary


Magnetic Bearing for an Ultracentrifuge

I. Introduction

II. Suspension of the Rotor

III. The Characteristic Equation of the System

IV. Details of the System

V. Alignment and Operation

VI. Summary



A Survey of the Uses of the Ultracentrifuge in Biological Research

I. General Considerations

II. Uses of the Ultracentrifuge

III. Conclusions


Author Index

Subject Index


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© Academic Press 1963
Academic Press
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About the Editor

J. W. Williams

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