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|a 9783642608179
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|a 10.1007/978-3-642-60817-9
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|a (DE-He213)978-3-642-60817-9
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|a Yamakawa, Hiromi.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Helical Wormlike Chains in Polymer Solutions
|h [electronic resource] /
|c by Hiromi Yamakawa.
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|a 1st ed. 1997.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1997.
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|a XII, 420 p. 9 illus.
|b online resource.
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|a text
|b txt
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|a online resource
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|a text file
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|a Springer eBook Collection
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|a 1 Introduction -- 1.1 Historical Survey -- 1.2 Scope -- References -- 2 Models for Polymer Chains -- 2.1 Discrete Models -- 2.2 Continuous Models -- References -- 3 Chain Statistics — Wormlike Chains -- 3.1 Definition of the Model -- 3.2 Diffusion Equations -- 3.3 Moments -- 3.4 Distribution Functions -- Appendix 3.A Path Integrals -- Appendix 3.B Spherical Harmonics and the Free-Particle Green Function -- Appendix 3.C Modified Wormlike Chains -- Appendix 3.D Wormlike Rings -- References -- 4 Chain Statistics — Helical Wormlike Chains -- 4.1 Formulation of the Model -- 4.2 Diffusion Equations -- 4.3 Moments -- 4.4 Angular Correlation Functions -- 4.5 Helical Nature of the Chain -- 4.6 Distribution Functions -- 4.7 Approximations -- 4.8 Some Other Topics -- Appendix 4.A Generalization and Other Related Models -- Appendix 4.B Corresponding Discrete Chains -- Appendix 4.C Wigner D Functions and 3-j Symbols -- References -- 5 Equilibrium Properties -- 5.1 Mean-Square Radius of Gyration. -- 5.2 Scattering Function -- 5.3 Anisotropic Light Scattering—Mean-Square Optical Anisotropy -- 5.4 Electrical Properties -- Appendix 5.A Chain-Thickness Correction -- Appendix 5.B Spherical Vectors and Tensors -- Appendix 5.C Proof of Nagai’s Theorem -- References -- 6 Transport Properties -- 6.1 General Consideration of Polymer Hydrodynamics -- 6.2 Hydrodynamic Models -- 6.3 Translational Friction Coefficient -- 6.4 Intrinsic Viscosity -- 6.5 Analysis of Experimental Data -- 6.6 Ring Polymers -- Appendix 6.A Transport Coefficients of Spheroid-Cylinders -- Appendix 6.B Excess Stress Tensor for the Touched-Bead Model -- References -- 7 Applications to Circular DNA -- 7.1 Ring-Closure Probabilities -- 7.2 Topoisomer Statistics -- 7.3 Iranslational Friction Coefficient of Topoisomers -- References -- 8 Excluded-Volume Effects -- 8.1 End-Distance and Gyration-Radius Expansion Factors -- 8.2 Viscosity- and Hydrodynamic-Radius Expansion Factors -- 8.3 Second Virial Coefficient -- 8.4 Third Virial Coefficient -- 8.5 Some Remarks -- Appendix 8.A Mean-Square Electric Dipole Moment -- Appendix 8.B Determination of the Virial Coefficients for Oligomers -- References -- 9 Chain Dynamics -- 9.1 General Consideration of Polymer Dynamics -- 9.2 Conventional Bond Chains -- 9.3 Dynamic Helical Wormlike Chains -- 9.4 Diffusion Equations -- 9.5 Eigenvalue Problems and Time-Correlation Functions -- Appendix 9.A Fluctuating Hydrodynamic Interaction -- References -- 10 Dynamical Properties -- 10.1 Dielectric Relaxation -- 10.2 Nuclear Magnetic Relaxation -- 10.3 Fluorescence Depolarization -- 10.4 Dynamic Depolarized Light Scattering -- 10.5 First Cumulant of the Dynamic Structure Factor -- 10.6 Some Remarks -- References -- Glossary of Abbreviations. -- Author Index.
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|a A new and general model, called the "helical wormlike chain," for both flexible and semiflexible polymer chains is presented. Statistical-mechanical, transport and dynamic theories of their solution properties are developed on the basis of this model. An analysis is given of recent experimental data using these theories for flexible polymers covering a wide range of molecular weights, including the oligomer region, and for semiflexible polymers, as well as biological macromolecules such as DNA. The book includes many theoretical equations, tables, figures, and computer-aided forms, to provide an understanding of the basic theory and to faclitate its application to experimental data for polymer molecular characterization.
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Polymers .
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|a Physical chemistry.
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|a Condensed matter.
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|a Biophysics.
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|a Biological physics.
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|a Biochemistry.
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|a Electronic resources (E-books)
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|a SpringerLink (Online service)
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