Free Energy of Defects in Ordered Assemblies of Block Copolymer Domains

2012 ◽  
Vol 1 (3) ◽  
pp. 418-422 ◽  
Author(s):  
Umang Nagpal ◽  
Marcus Müller ◽  
Paul F. Nealey ◽  
Juan J. de Pablo
Keyword(s):  
Free Energy ◽  
Block Copolymer

Curvature Elasticity of Block Copolymers and the Structure of Emulsified Polymer Blends

1989 ◽  
Vol 177 ◽  
Author(s):  
Zhen-Gang Wang ◽  
S. A. Safran
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Polymer Blends ◽  
Phase Behavior ◽  
Elastic Properties ◽  
Interfacial Layer ◽  
Elastic Moduli ◽  
Spontaneous Curvature ◽  
Polymer Properties ◽  
Curvature Elasticity

ABSTRACTWe consider the curvature elastic properties of a layer of block copolymer at the interface between two incompatible homopolymers. We focus on the relation between the relative lengths of the blocks and the elastic properties of the interfacial layer which determines the phase behavior. The curvature elastic moduli K and K, as well as the spontaneous curvature, c0, are obtained. The curvature free energy is used to predict the relative stability of spherical, cylindrical, lamellar, and ordered bicontinuous saddle-shaped structures as functions of concentration and polymer properties.

scholarly journals Concentrically layered energy equilibria of the di-block copolymer problem

2002 ◽  
Vol 13 (5) ◽  
pp. 479-496 ◽  
Author(s):  
XIAOFENG REN ◽  
JUNCHENG WEI
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Unit Disk ◽  
Energy Functional ◽  
Singular Limit ◽  
Free Energy Functional ◽  
Number Of Layers

We prove the existence of energy equilibria of the di-block copolymer problem in the unit disk. They consist of concentrically layered micro-domains rich in one of the two monomer building units. We construct them by solving the proper singular limit of the free energy functional. The same limit also explains how under a dynamic law of the free energy, circular interfaces of non-equilibria may move to the origin and vanish, or collapse to each other, thereby reducing the number of layers.

Free energy landscape and localization of nanoparticles at block copolymer model defects

Soft Matter ◽  
2014 ◽  
Vol 10 (18) ◽  
pp. 3284 ◽  
Author(s):  
YongJoo Kim ◽  
Hsieh Chen ◽  
Alfredo Alexander-Katz
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Energy Landscape ◽  
Free Energy Landscape

scholarly journals Self-assembly morphology of block copolymers in sub-10 nm topographical guiding patterns

2019 ◽  
Vol 4 (1) ◽  
pp. 175-185 ◽  
Author(s):  
S. Gottlieb ◽  
B. Rösner ◽  
L. Evangelio ◽  
M. Fernández-Regúlez ◽  
A. Nogales ◽  
...  
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Block Copolymers ◽  
Self Assembly ◽  
Morphology Analysis ◽  
Energy Modelling

Fabrication of sub-10 nm topographical guiding patterns, block copolymer directed self-assembly, thorough morphology analysis and free energy modelling.

Free energy modeling of block-copolymer within pillar confinements on DSA lithography

2017 ◽  
Author(s):  
Seokhan Park ◽  
Joonsoo Park ◽  
Jemin Park ◽  
Hyun-Woo Kim ◽  
Changhyun Cho ◽  
...  
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Energy Modeling

Insertion free energy of PAP[5] water channels into block copolymer membranes

2022 ◽  
Author(s):  
Ritwick Kali ◽  
Scott Milner
Keyword(s):  
Free Energy ◽  
Block Copolymer ◽  
Water Channels ◽  
Next Generation

Biomimetic water channels embedded in copolymer membranes are promising candidates for next-generation desalination materials. Peptide appended pillar[5]arene (PAP[5]) is one such synthetic channel, which transports water at a rate comparable...

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