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Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

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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.
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The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
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Phase Transitions: Melting and Freezing02:39

Phase Transitions: Melting and Freezing

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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
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Phase Transitions: Sublimation and Deposition02:33

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Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
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Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

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Copolymers are the products obtained from the polymerization of multiple monomer species. So, in a polymer chain itself, there can be multiple repeating units that come from different monomers. The process of synthesizing a polymer from different monomer species is called copolymerization. When two monomers are involved, the polymer is known as a bipolymer. Polymers with three and four monomers are termed terpolymers and quaterpolymers, respectively. Figure 1 depicts the copolymerization of...
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Related Experiment Video

Updated: Dec 25, 2025

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

Published on: September 26, 2016

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Field theoretic approach for block polymer melts: SCFT and FTS.

M W Matsen1

  • 1Department of Chemical Engineering, Department of Physics and Astronomy, and Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

The Journal of Chemical Physics
|March 23, 2020
PubMed
Summary

Polymer field theory advances predict block polymer melt phase behavior. Field theoretic simulations (FTS) show promise for accurate predictions, overcoming computational and divergence challenges.

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Last Updated: Dec 25, 2025

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

  • Soft condensed matter physics
  • Polymer physics
  • Computational materials science

Background:

  • Block polymer melts exhibit complex phase behavior governed by molecular architecture.
  • Predicting this behavior is crucial for designing advanced materials.
  • Existing theories like self-consistent field theory (SCFT) offer valuable insights but have limitations.

Purpose of the Study:

  • To present the development of polymer field theory for predicting equilibrium phase behavior in high-molecular-weight block polymer melts.
  • To highlight the potential of field theoretic simulations (FTS) as a complementary approach to SCFT.
  • To address the challenges and recent progress in FTS.

Main Methods:

  • Development of a field-based model from a particle-based Gaussian chain model.
  • Application of mathematical identities to convert between particle and field descriptions.
  • Evaluation of the field-based model using self-consistent field theory (SCFT) and field theoretic simulations (FTS).

Main Results:

  • The particle-based model is successfully converted to an equivalent field-based formulation.
  • SCFT, a form of mean field theory, is a mature and successful approach.
  • Recent advancements in FTS address computational cost and ultraviolet divergence issues.

Conclusions:

  • Field theoretic simulations (FTS) are emerging as a powerful tool for polymer physics.
  • FTS are becoming capable of predicting fluctuation corrections beyond mean field theory.
  • The developed polymer field theory framework, combined with FTS, promises enhanced predictive power for block polymer systems.