Related Experiment Video
Updated: Jul 13, 2026

High-Contrast and Fast Photorheological Switching of a Twist-Bend Nematic Liquid Crystal
Published on: October 31, 2019
Butterfly patterns in crystalline polymers under uniaxial stretch.
Mikihito Takenaka1, Hirofumi Shimizu, Shotaro Nishitsuji
1Department of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Nishikyo-ku, Kyoto 615-8510, Japan.
Density fluctuations in crystalline polymers transform from isotropic to a butterfly pattern under uniaxial stretch. This change reveals stress-induced density variations and heterogeneous deformation in polymer materials.
Area of Science:
- Materials Science
- Polymer Physics
- Condensed Matter Physics
Background:
- Crystalline polymers exhibit density fluctuations at the submicron to micron scale.
- Understanding these fluctuations is crucial for predicting material behavior under stress.
Purpose of the Study:
- To investigate the nature of density fluctuations in crystalline polymers before and after uniaxial stretching.
- To characterize the transformation of scattering patterns due to applied stress.
Main Methods:
- Utilizing two-dimensional ultrasmall-angle X-ray scattering (2D USAXS).
- Analyzing scattering patterns to quantify density fluctuations and their anisotropy.
Main Results:
- Before stretching, density fluctuations were isotropic and followed mass fractal behavior with a fractal dimension of 2.6.
- After uniaxial stretch, the scattering pattern changed to a distinct butterfly pattern.
- The butterfly pattern indicates stress-induced density fluctuations and heterogeneous deformation.
Conclusions:
- Uniaxial stretch significantly alters the morphology of density fluctuations in crystalline polymers.
- The observed butterfly pattern is a direct consequence of stress concentration and heterogeneous deformation within crystalline and amorphous regions.
Related Concept Videos
Polymer Classification: Crystallinity
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...
Classification and Mechanical Properties of Synthetic Polymers
Plastic Behavior
Types of Step-Growth Polymers: Polyesters
Polyesters are commonly prepared from terephthalic acid and ethylene glycol; the crude product is known as poly(ethylene terephthalate) or PET. However, polyesters are synthesized industrially by transesterification of dimethyl terephthalate with ethylene glycol at 150 °C. The two reactants and the polymer...
Molecular Weight of Step-Growth 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...
Deformations in a Transverse Cross Section
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...

