Mathematical Theory of Sedimentation Analysis

Mathematical Theory of Sedimentation Analysis PDF Author: Hiroshi Fujita
Publisher: Elsevier
ISBN: 1483274357
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Mathematical Theory of Sedimentation Analysis deals with ultracentrifugal analysis. The book reviews flow equations for the ultracentrifuge, for two component systems, for multicomponent systems, and in chemically reacting systems. It explains the Svedberg equation and its extensions, and also the tests of the Onsager reciprocal relation. By employing a system consisting of two strong electrolytes and a solvent, the book illustrates that the sedimentation processes can be treated in terms of thermodynamics of irreversible processes. It also explains sedimentation-diffusion equilibrium and an approach to sedimentation equilibrium. It reviews the prediction of the time required to reach equilibrium, the estimates being made by Weaver (1926), and by Mason and Weaver (1924). The book employs sedimentation in a sector-shaped cell in a centrifugal field, of which the solutions of Mason and Weaver closely approximate the actual concentration distribution in the ultra-centrifuge cell. Other accurate solutions are by Fujita, Nazarian (1958), Yphantis, and Waugh. The book will prove valuable for mathematicians, physical chemists, biophysical chemists students, or professor of advanced mathematics.

Mathematical Theory of Sedimentation Analysis

Mathematical Theory of Sedimentation Analysis PDF Author: Hiroshi Fujita
Publisher: Elsevier
ISBN: 1483274357
Category : Mathematics
Languages : en
Pages : 328

Get Book Here

Book Description
Mathematical Theory of Sedimentation Analysis deals with ultracentrifugal analysis. The book reviews flow equations for the ultracentrifuge, for two component systems, for multicomponent systems, and in chemically reacting systems. It explains the Svedberg equation and its extensions, and also the tests of the Onsager reciprocal relation. By employing a system consisting of two strong electrolytes and a solvent, the book illustrates that the sedimentation processes can be treated in terms of thermodynamics of irreversible processes. It also explains sedimentation-diffusion equilibrium and an approach to sedimentation equilibrium. It reviews the prediction of the time required to reach equilibrium, the estimates being made by Weaver (1926), and by Mason and Weaver (1924). The book employs sedimentation in a sector-shaped cell in a centrifugal field, of which the solutions of Mason and Weaver closely approximate the actual concentration distribution in the ultra-centrifuge cell. Other accurate solutions are by Fujita, Nazarian (1958), Yphantis, and Waugh. The book will prove valuable for mathematicians, physical chemists, biophysical chemists students, or professor of advanced mathematics.

Mathematical Theory of Sedimentation Analysis

Mathematical Theory of Sedimentation Analysis PDF Author: Hiroshi Fujita
Publisher: Academic Press
ISBN: 1483194841
Category : Science
Languages : en
Pages : 328

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Book 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.

Sedimentation and Thickening

Sedimentation and Thickening PDF Author: E.M. Tory
Publisher: Springer Science & Business Media
ISBN: 9401593272
Category : Mathematics
Languages : en
Pages : 297

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Book Description
The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to practicing en gineers in the process industries. Such a vast and diverse audience should read this book differently. For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a self-contained subject. They can skip Chapters 4 to 6 and 9, which are most important to applied mathematicians, without losing the main features of sedimentation processes. On the other hand, applied mathematicians will find special interest in Chapters 4 to 6 and 9 which show some known but many recent results in the field of conservation laws of quasilinear hyperbolic and degenerate parabolic equations of great interest today. These two approaches to the theory keep their own styles: the mathematical approach with theorems and proofs, and the phenomenological approach with its deductive technique.

Physical Principles and Techniques of Protein Chemistry Part B

Physical Principles and Techniques of Protein Chemistry Part B PDF Author: Sydney Leach
Publisher: Elsevier
ISBN: 0323141137
Category : Science
Languages : en
Pages : 508

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Book Description
Physical Principles and Techniques of Protein Chemistry, Part B deals with the theories and application of selected physical methods in protein chemistry evaluation. This book is divided into seven chapters that cover the ultracentrifugal analysis, light scattering, infrared (IR) methods, nuclear magnetic resonance (NMR) spectroscopy, and differential thermal analysis of protein properties. This text first describes the fundamental ideas and methodology of sedimentation analysis of ideal noninteracting solutes and the problems of nonideality and solute-solute interaction. This book then deals with the problems involved in the interpretation of viscometric data for evaluation of intrinsic viscosity of proteins. The following chapters examine the principles, measurement and analysis of spectra, and experimental techniques of light scattering, IR, and NMR spectroscopic methods. Discussions on coordination phenomena, identification of binding sites, and ion binding in the crystalline state and in protein solutions are included. The concluding chapter presents some examples of protein analysis using differential thermal analysis technique. This book is of great value to chemists, biologists, and researchers who have great appreciation of protein chemistry.

Journal of Research of the National Bureau of Standards

Journal of Research of the National Bureau of Standards PDF Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Chemistry
Languages : en
Pages : 640

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Book Description


Physical Chemical Techniques

Physical Chemical Techniques PDF Author: Dan H. Moore
Publisher: Academic Press
ISBN: 1483194892
Category : Science
Languages : en
Pages : 405

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Book Description
Physical Techniques in Biological Research, Volume II, Part A: Physical Chemical Techniques focuses on physical chemical techniques that have been most widely used in the study of molecules of biological significance. This book outlines the theoretical basis of the methods, describes the apparatus and manipulations used, and describes the applications of the techniques by examples. Organized into seven chapters, this volume begins with an overview of the basic property that makes the use of isotopes as tracers possible. This text then explains the predicted behavior during separations of chemically reacting systems by digital computer techniques. Other chapters consider the mutual diffusion in a binary system of components A and B. This book discusses as well the migration of charged particles or molecules in a liquid medium under the influence of an applied electric field. The final chapter deals with the basic units of electric potential differences. This book is a valuable resource for biological chemists.

Interacting Macromolecules

Interacting Macromolecules PDF Author: John Cann
Publisher: Elsevier
ISBN: 032315865X
Category : Science
Languages : en
Pages : 262

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Book Description
Interacting Macromolecules: The Theory and Practice of Their Electrophoresis, Ultracentrifugation, and Chromatography reviews advances in theory and practice concerning the electrophoresis, ultracentrifugation, and chromatography of interacting macromolecules. The principles of mass transport of non-interacting systems are discussed, along with the weak electrolyte moving-boundary theory and analytical solution of approximate transport equations for certain types of interactions. Computer computations on ligand-mediated association-dissociation reactions are also presented. This book is comprised of six chapters and begins with a survey of the principles of electrophoresis and ultracentrifugation of non-reacting systems before proceeding with a detailed treatment of the mass transport of reversibly reacting macromolecules. A conservation equation is derived for a solution containing a single macromolecular ion. The following chapters explore the weak-electrolyte moving-boundary theory; the analytical Solution of approximate conservation equations; and numerical solution of exact conservation equations. The formulation of the numerical computation for ligand-mediated association-dissociation reactions is described, together with a code for sedimentation calculations. The final chapter summarizes the procedures and precautions required to assure accurate interpretation of sedimentation and electrophoretic patterns in terms of the thermodynamic and molecular parameters characterizing the reactions exhibited by biological macromolecules. The more common analytical applications of ultracentrifugation, electrophoresis, and chromatography are also outlined. This monograph is intended for molecular biologists and graduate students.

Ultracentrifugation of Macromolecules

Ultracentrifugation of Macromolecules PDF Author: J. W. Williams
Publisher: Elsevier
ISBN: 1483220621
Category : Science
Languages : en
Pages : 137

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Book Description
Ultracentrifugation of Macromolecules: Modern Topics covers the theoretical description of the problem of sedimentation equilibrium of polydisperse nonideal solutions. The book discusses the sedimentation equilibrium in polydisperse nonideal solutions and the size distribution analysis by ultracentrifugal methods. The text also describes the simultaneous sedimentation and equilibrium in beta-lactoglobulin B, chymotrypsinogen A, and lysozyme solutions; as well as the sedimentation analysis of a multiple myeloma ?G-globulin. People involved in physical biochemistry will find the book invaluable.

Catalog of Copyright Entries. Third Series

Catalog of Copyright Entries. Third Series PDF Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1152

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Book Description
Includes Part 1, Number 1: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - June)

Journal of Research of the National Bureau of Standards

Journal of Research of the National Bureau of Standards PDF Author:
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 598

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Book Description