1982
DOI: 10.1007/bf01451646
|View full text |Cite
|
Sign up to set email alerts
|

Determination of the width of the domain boundaries in polymer two-phase systems by X-ray small-angle scattering

Abstract: An accurate determination of the width of domain boundaries presupposes an unambigous elimination of the intensity component due to density fluctuations within the domains. The theoretical aspects of this problem are discussed and an application is demonstrated in an SAXS study of a styrene-isoprene-styrene blockcopolymer. The widths of the domain boundaries depend on the history of the sample, its values are, in general, smaller than theoretically predicted. The domain sizes correspond to the theoretical valu… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

2
38
0

Year Published

1986
1986
2021
2021

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 56 publications
(40 citation statements)
references
References 25 publications
2
38
0
Order By: Relevance
“…Small deviations from a sharp boundary would indicate a significant deviation from Porod's law. 21 Therefore, we can conclude that the phase boundaries of the complexes are of the order of 1-2 These values are similar to the polymeric complexes of siloxane surfactants we investigated earlier. 23 The simplest complex structure, which is in agreement with these numbers, is a microphase-separated model constructed from a smaller ionic phase (polyelectrolyte plus ionic headgroups) and a larger nonionic phase (hydrophobic moieties).…”
Section: Resultssupporting
confidence: 62%
See 1 more Smart Citation
“…Small deviations from a sharp boundary would indicate a significant deviation from Porod's law. 21 Therefore, we can conclude that the phase boundaries of the complexes are of the order of 1-2 These values are similar to the polymeric complexes of siloxane surfactants we investigated earlier. 23 The simplest complex structure, which is in agreement with these numbers, is a microphase-separated model constructed from a smaller ionic phase (polyelectrolyte plus ionic headgroups) and a larger nonionic phase (hydrophobic moieties).…”
Section: Resultssupporting
confidence: 62%
“…The main source of error in the range of validity covered by Porod's law is the scattering due to density fluctuations and the widths of the domain boundary. 21 The values of s 4 I(s), as shown in Figure 4, were found to be constant for a scattering vector in the range 0.4-0.8 nm -1 . This proves that the structures of the complexes are consistent with Porod's law.…”
Section: Resultsmentioning
confidence: 97%
“…In reality, there exist short range electron density fluctuations within each of the two phases, which lead to an additional background scattering, JH(s). There-(3) fore, similar to the procedures applied in earlier investigations [13,14], in the present work JFt(S) has been assumed to have a constant value ]~ not dependent on s. This value is obtained by variation of Jpt and dz in a process demanding Porod's law to be fulfilled in a maximal interval of s. The variational process is explained in more detail below. This leads to deviations from Porod's law, according to which, at large scattering angles, J(s) decreases proportionally to 1/s 3 .…”
Section: Theoretical Sectionmentioning
confidence: 91%
“…This is done in the present work by the (2) procedure developed by Ruland et al [11][12][13][14], briefly discussed in the following. In reality, there exist short range electron density fluctuations within each of the two phases, which lead to an additional background scattering, JH(s).…”
Section: Theoretical Sectionmentioning
confidence: 99%
“…A systematic investigation of equilibrium and non-equilibrium effects was carried out by Shibayama et a1.34). Conflicting data are also published about the absolute thickness of the interfacial region 21, 36,38).…”
Section: Introductionmentioning
confidence: 99%