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Determination of Molar Masses of Polymers I

Determination of Molar Masses of Polymers I

Polymerization produces macromolecules with a range of chain lengths due to the random nature of molecular growth processes. As chains form and terminate at different stages, a single polymer sample contains molecules of varying sizes rather than a uniform structure. This variability is described using average molar masses and distribution-related parameters, which together provide a comprehensive understanding of polymer characteristics.The distribution of molar masses plays a critical role in...

Determination of Molar Masses of Polymers II

Determination of Molar Masses of Polymers II

Polymer samples typically consist of macromolecular chains with a distribution of lengths, resulting in a range of molar masses rather than a single discrete value. Conventional descriptors such as the number-average molar mass and weight-average molar mass quantify this distribution but do not fully capture polymer behavior in solution..The viscosity-average molar mass provides a more realistic description of polymer behavior in solution because it accounts for the enhanced contribution of...

Polymer Classification: Crystallinity

Polymer Classification: Crystallinity

Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...

Molecular Weight of Step-Growth Polymers

Molecular Weight of Step-Growth Polymers

Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...

Polymers: Molecular Weight Distribution

Polymers: Molecular Weight Distribution

For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.

Polymer Classification: Architecture

Polymer Classification: Architecture

Polymers are classified as linear or branched on the basis of their chain architecture. The polymer chains in linear polymers have a long chain-like structure with minimal to no branching at all. Even if a polymer features large substituent groups on the monomer, which appear as branches to the skeleton, it is not considered a branched polymer. A branched polymer contains secondary polymer chains that arise from the main polymer chain. The branching occurs when the polymer growth shifts from...

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Related Experiment Video

Updated: Jun 22, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

Perimeter length and form factor in two-dimensional polymer melts.

H Meyer¹, T Kreer, M Aichele

¹Institut Charles Sadron, 23 rue du Loess, BP 84047, 67034 Strasbourg Cedex 2, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 13, 2009

Summary

Self-avoiding polymers in two-dimensional melts exhibit fractal perimeters. Molecular dynamics simulations reveal this perimeter fractality and compactness extend to subchains, offering experimental testable predictions.

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Published on: October 29, 2013

Area of Science:

Polymer Physics
Statistical Mechanics
Computational Chemistry

Background:

Self-avoiding polymers in two-dimensional (2D) melts adopt compact configurations with size R(N) proportional to N^(1/d).
Understanding the detailed shape and scaling properties of these polymers is crucial for materials science and condensed matter physics.

Purpose of the Study:

To investigate the fractal nature of the perimeter of self-avoiding polymers in 2D melts.
To characterize the scaling behavior of polymer compactness and perimeter fractality across different length scales.

Main Methods:

Utilizing molecular-dynamics simulations to model self-avoiding polymers in a 2D melt.
Analyzing the perimeter length and fractal dimension of polymer chains.
Employing the Kratky representation of the intramolecular form factor to study scattering properties.

Main Results:

Polymer perimeters exhibit a fractal dimension (d_p) of 5/4, related to the contact exponent Theta_2.
Compactness and perimeter fractality are self-similar, repeating for subchains down to a few monomers.
The intramolecular form factor shows non-monotonous behavior in the intermediate wave vector regime.

Conclusions:

The study reveals a universal fractal dimension for the perimeter of self-avoiding polymers in 2D melts.
The findings suggest that polymer shape characteristics are scale-invariant across various subchain lengths.
Experimental measurements of scattering from labeled subchains can validate these simulation predictions.