2010
DOI: 10.1155/2010/829752
|View full text |Cite
|
Sign up to set email alerts
|

Quantitative Analysis of Semicrystalline Blends SAXS Data: Theoretical Modeling versus Linear Correlation Function

Abstract: This paper compares the results yielded by two methods of small-angle X-ray scattering data analysis for semicrystalline polymer blends. The first method is based on the use of a theoretical modeling for isotropic samples and a subsequent curve fitting. The second one is a more familiar method, based on the calculation of the linear one-dimensional correlation function. The experimental material considered for this purpose deals with a series of semi-crystalline blends of poly(vinylidene fluoride) and poly(met… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
14
0

Year Published

2015
2015
2018
2018

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 11 publications
(15 citation statements)
references
References 19 publications
1
14
0
Order By: Relevance
“…The main peak at q = 0.06 Å −1 is due to the lamellar spacing ( L p ) in the particles, calculated to be 109 Å. Correlation function analysis was also used to characterize the lamellar arrangements that result in the main peak at q = 0.06 Å −1 using a development of the Hosemann (Hosemann & Bagchi, 1962) theoretical model outlined by Fatnassi et al (Fatnassi, Ben Cheikh Larbi & Halary, 2010) (Supplementary Information, Equation S3) and achieved close fits to the SAXS data (Supplementary Information, Figure S3). This model was used to confirm the lamellar spacing ( L p = 109 Å), and calculate the crystalline layer thickness ( l c = 85 Å) and the amorphous layer thickness ( l a = 24 Å), from which a calculated crystallinity of 78% was derived.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The main peak at q = 0.06 Å −1 is due to the lamellar spacing ( L p ) in the particles, calculated to be 109 Å. Correlation function analysis was also used to characterize the lamellar arrangements that result in the main peak at q = 0.06 Å −1 using a development of the Hosemann (Hosemann & Bagchi, 1962) theoretical model outlined by Fatnassi et al (Fatnassi, Ben Cheikh Larbi & Halary, 2010) (Supplementary Information, Equation S3) and achieved close fits to the SAXS data (Supplementary Information, Figure S3). This model was used to confirm the lamellar spacing ( L p = 109 Å), and calculate the crystalline layer thickness ( l c = 85 Å) and the amorphous layer thickness ( l a = 24 Å), from which a calculated crystallinity of 78% was derived.…”
Section: Resultsmentioning
confidence: 99%
“…Analysis of the subsequent scattering profiles were conducted using the Mathematica Software Package (Version 10) (Wolfram Research, 2014) and the Small-Angle Diffraction tool that is part of the Irena macro for Igor Pro (Ilavsky & Jemian, 2009). Correlation function analysis was performed using the “FindFit” command of the Mathematica Software Package, following a development of the Hosemann model (Hosemann & Bagchi, 1962) published by Fatnassi (Fatnassi, Ben Cheikh Larbi & Halary, 2010). …”
Section: Methodsmentioning
confidence: 99%
“…The lamellar structure parameters can be determined from the γ( r ) function . The average crystalline thickness, L c can be obtained by the intersection of straight line dγ(r)/dr with the baseline at γmin=A.…”
Section: Methodsmentioning
confidence: 99%
“…The average crystalline thickness, L c can be obtained by the intersection of straight line dγ(r)/dr with the baseline at γmin=A. This baseline is defined as the horizontal tangent at the first γ( r ) minimum, which belongs to the self‐correlation triangle …”
Section: Methodsmentioning
confidence: 99%
“…studied the microphase separation and crystallization in blends of polystyrene–PMMA diblock copolymer and PVDF. The morphology of PMMA phase in PVDF/PMMA blends has been investigated in previous research . Okabe et al .…”
Section: Introductionmentioning
confidence: 99%