Interfacial width

In the vicinity of the critical point (i.e. t < i) the interfacial width is much larger than the microscopic length scale / and the Landau-Ginzburg expansion is applicable. 

Thus, the apparent interfacial width is measured in simulations or experiments, is larger than the... 

Schnell, R., Stamm, M. and Creton, C., Direct correlation between interfacial width and adhesion in glassy polymers. Macromolecules, 31, 2284-2292 (1998). 

TABLE 2 Interfacial Width for Various Energies of Transfer of the Ions the Other Parameters Are the Same as in Fig. 8... 

TABLE 3 Interfacial Widths, Bulk Composition, and Interfacial Tension in erg cm at the Interface Between Two Dipolar Liquids [5]. x Denotes the Mole Fraction of Solvent Si in Phase i... 

As binary PPE/SAN blends form the reference systems and the starting point for the foaming analysis, their miscibility will be considered first. As demonstrated in the literature [41, 42], both miscibility and phase adhesion of PPE/SAN blends are critically dependent on the composition of SAN, more precisely on the ratio between styrene and acrylonitrile (AN). Miscibility at all temperatures occurs up to 9.8 wt% of AN in SAN, whereas higher contents above 12.4 wt% lead to phase separation, independent of the temperature. Intermediate compositions exhibit a lower critical solution temperature behavior (LCST). Taking into account the technically relevant AN content SAN copolymers between 19 and 35 wt%, blends of SAN and PPE are not miscible. As the AN content of the SAN copolymer, selected in this work, is 19 wt%, the observed PPE/SAN blends show a distinct two-phase structure and an interfacial width of only 5 nm [42],... 

Floudas and coworkers [90] employed dielectric spectroscopy to probe the interfacial width in lamellae forming non-linear block copolymers of the type (B-h-A)3B and (B-h-A)3B(A-h-B)3, where A is PI and B is PS. Their experiments were conducted at temperatures below the ODT and below the glass transition of the PS hard phase . In this temperature region the global chain dynamics of PI bridges were used to provide an estimate of the dynamic interface between... 

This behavior is sketched in Fig. 18. Note that the parameter co directly controls the anomalous broadening of interfacial widths in confined geometry, since Eq. (121) can be rewritten as using k=2/[w0(1+co/2)] in the general case [266]... 

Fig. 25. Squared interfacial width w2 vs film thickness D, for the model of Fig. 24. The straight line is the corresponding theoretical prediction (cf. text). All lengths are measured in units of the lattice spacing. From Werner et al. [266]...

Fig. 31. Plot of interfacial width w vs D for a blend of olefinic copolymers d75/h66 (cf.text) at T0=356 K, extracted from nuclear reaction depth profiling experiments, based on the reaction 3He+2H 4He+1H+18.35 MeV and backward angle detection of 1H. Note that the spatial resolution is optimal near the air surface (4 nm) but quickly deteriorates for large distances from the air surface. Therefore, the error bar on w/2 increases strongly with increasing D. Full and dotted curves represent the approximate asymptotic formula w2 = Wq + D / 4 (a factor 7tco/(l+co/2) in Eq. (127) being approximated as unity), choosing w0= b> and b=l 1 8 nm or b=10.6 nm, respectively. From Kerle et al. [84]...

MembraneA apor Interfacial Width at Various Water Contents... 

Of greater interest to us is the late stage, where the spinodal pattern is described by regions of rather uniform composition separated by interfaces whose width A is much less than the domain size a (see Fig. 9-4d). In this stage, phase separation proceeds by a coarsening process in which the domains get larger while their composition and interfacial width... 

To use an expression such as Eq. (9-19) for predicting droplet sizes, one also needs a value for the interfacial tension F, which for polymer-polymer interfaces are hard to measure. However, the theory of Helfand and Sapse (1975) allows F to be estimated from the interfacial width A ... 

From this correlation, Eq. (9-21), the interfacial tension can be estimated if the interfacial width A can be measured in an electron micrograph of a blend (Wu 1987). 

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