Size and average density spectra of macromolecules obtained from hydrodynamic data

Area of Science:

• Polymer Science
• Physical Chemistry
• Macromolecular Physics

Background:

• The Mark-Kuhn-Houwink-Sakurada equation relates polymer hydrodynamic properties to molecular mass.
• Understanding macromolecular size and behavior in solution requires accurate characterization of these relationships.

Purpose of the Study:

• To propose a normalization method for Mark-Kuhn-Houwink-Sakurada type equations.
• To analyze the size spectrum of linear polymer molecules and their hydrodynamic behaviors.
• To investigate the relationship between molecular structure and solution volume.

Main Methods:

• Normalization of hydrodynamic characteristics (intrinsic viscosity, sedimentation, diffusion coefficients) using linear density (M(L)) and statistical segment length (A).
• Analysis of experimental data across a wide range of contour lengths and statistical segment lengths.
• Application of Yamakawa-Fujii theory for chains without excluded volume effects.

Main Results:

• Normalization by M(L) yields a size spectrum of linear polymer molecules.
• Further normalization by A separates data into volume interaction and hydrodynamic draining regimes.
• Macromolecules are arranged by fractal dimensionality, with dendrimers and globular proteins occupying the lowest specific volume.

Conclusions:

• The proposed normalization method effectively characterizes linear polymer molecules.
• This approach provides insights into macromolecular conformation and solution behavior.
• The findings contribute to a deeper understanding of polymer physics and characterization.