350 likes | 485 Views
Fourier Transform Perspective on Order-Disorder in Polymeric Systems. CCAST, 2007.10.26. From Order to Disorder. Convolution and Correlation. Convolution. Correlation. Self-Correlation. Models of Polymer Chain. Degree of Polymerization. Models of Polymer Chain. Models of Polymer Chain.
E N D
Fourier Transform Perspective on Order-Disorder in Polymeric Systems CCAST, 2007.10.26
Convolution and Correlation Convolution Correlation Self-Correlation
Models of Polymer Chain Degree of Polymerization
Models of Polymer Chain Freely joint chain (random walk)
Models of Polymer Chain Root-mean-square End-to-end distance RF Radius of gyration RF
(s,r) s (0,r0) B A Wiener-Edwards integral
Wiener-Edwards integral Self-consistent Field Theory (SCFT)
Scattering experiments Laser light scattering (LLS), Small/Wide angle x-ray scattering (SAXS/WAXS), Neutron scattering
Debye function PMMA
Structure factor Gaussian chain
Convolution and Correlation Convolution Correlation Self-Correlation
−50ºC Tc−10ºC 0ºC Tc40ºC Lei Zhu, Stephen Z. D. Cheng, etal., Macromolecules2002, 35, 3553.
Diblock Copolymers: Possible Structures Controlling parameters:
Diblock Copolymers - Why Ordered Phases? Ordered Phase: Lamellar Equilibrium:
Thank you for your attention! Welcome to ICCAS!