Pressure-induced formation of diblock copolymer “micelles” in supercritical fluids. A combined study by small angle scattering experiments and mean-field theory. II. Kinetics of the unimer–aggregate transition

2004 ◽  
Vol 120 (7) ◽  
pp. 3499-3507 ◽  
Author(s):  
A. Raudino ◽  
F. Lo Celso ◽  
A. Triolo ◽  
R. Triolo
Keyword(s):  
Field Theory ◽  
Supercritical Fluids ◽  
Diblock Copolymer ◽  
Small Angle ◽  
Mean Field Theory ◽  
Mean Field ◽  
Small Angle Scattering ◽  
Angle Scattering ◽  
Copolymer Micelles ◽  
Kinetics Of

Structure of Cd-Ga Melts Part 2: X-Ray Small-Angle Scattering

1980 ◽  
Vol 35 (9) ◽  
pp. 938-945 ◽  
Author(s):  
Gerhard Hermann ◽  
Georg Rainer-Harbach ◽  
Siegfried Steeb
Keyword(s):  
Critical Point ◽  
Small Angle ◽  
Lattice Gas ◽  
Critical Concentration ◽  
Mean Field Theory ◽  
Mean Field ◽  
Small Angle Scattering ◽  
Correlation Lengths ◽  
X Ray ◽  
Angle Scattering

Abstract X-ray small-angle scattering experiments were performed on nine melts of the Cd-Ga system at different temperatures up to 440°C. Evaluation of the data follows the Ornstein-Zernike theory of critical scattering, thus yielding correlation lengths ξ of concentration fluctuations and the long-wavelength limit Sec (0) of the Bhatia-Thornton structure factor. Studies of the concentration and temperature dependence of ξ and SCC (0) indicate that the critical point occurs at cc = 50.0 ± 1-0 at % Ga and Tc - 295.2 ± 0-1° C. For a melt with the critical concentration, SCC (0) increases up to 3500 times the ideal S1dCC (0)=CACB-This indicates a strong segregation tendency. In the vicinity of the critical point of the Cd-Ga system, experimental correlation lengths ξ > 100 A were obtained. The critical-point exponents ν and γ were determined. It follows that the behaviour of a critical Cd-Ga melt satisfies the prediction of the classical mean-field theory for higher temperatures, whereas, within experimental accuracy, the lattice-gas predictions are satisfied upon approaching the critical temperature.

Mean Field Theory of Diblock Copolymer on Curved Manifolds

2014 ◽  
Vol 346 (1) ◽  
pp. 22-31 ◽  
Author(s):  
Daming Li ◽  
Kewei Liang ◽  
Thomas Gruhn
Keyword(s):  
Field Theory ◽  
Diblock Copolymer ◽  
Mean Field Theory ◽  
Mean Field ◽  
Curved Manifolds

Kinetics of particle growth and particle composition of a commercial Al-Li alloy by means of small-angle scattering

1991 ◽  
Vol 63 (5) ◽  
pp. 1201-1212 ◽  
Author(s):  
E. Caponetti ◽  
E. M. d'Aguanno ◽  
R. Trioloand ◽  
S. Spooner
Keyword(s):  
Small Angle ◽  
Particle Growth ◽  
Small Angle Scattering ◽  
Particle Composition ◽  
Angle Scattering ◽  
Kinetics Of

Block Copolymers: Thermodynamics, Dynamics, and Small-Angle Scattering

2015 ◽  
Author(s):  
Lee M. Trask ◽  
Nacu Hernandez ◽  
Eric W. Cochran
Keyword(s):  
Block Copolymer ◽  
Block Copolymers ◽  
Small Angle ◽  
Self Assembly ◽  
Microphase Separation ◽  
Small Angle Scattering ◽  
Angle Scattering ◽  
Copolymer Melts ◽  
Shear Processing ◽  
Kinetics Of

This article explores the dynamics, thermodynamics, and small-angle scattering of block copolymers. The goal is to determine what drives the applications of block copolymers, i.e. how block copolymers behave and how they are characterized. The article begins with a summary of the experimental data and various theories that comprise our understanding of block copolymer thermodynamics, with particular emphasis on phase behavior and especially the theory of microphase separation. It then considers topics related to block copolymer dynamics, including diffusion, viscoelasticity and rheology, shear-processing, and the kinetics of self-assembly. It also discusses small-angle scattering techniques as applied to block copolymer characterization, including scattering from ordered block copolymer melts.

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