Influence
of the interface mobility. (a) AFM images of the steady-state
networks formed at 10 mM Mg2+ and various Na+ concentrations. For each concentration (on top), an area of 3 μm
× 3 μm and (bottom) higher magnification and overlay of
the polygon identification algorithm (pentagons, dark blue; hexagons,
blue; heptagons, light gray; octagons, pink). z-range
was adjusted slightly for optimal data presentation. (b) Weighted
mean of the hexagon content as a function of the Na+ concentration.
Each point represents the hexagon content recorded within a 1.5 μm
× 1.5 μm area. For each condition, at least 8 images were
analyzed. (c) Weighted mean of the network density as a function of
Na+ concentration. For each condition, at least 8 images
with an area of 1.5 μm × 1.5 μm were analyzed. Red
lines indicate the median. Outliers, defined as data points beyond
1.5 times the interquartile range, are represented as individual points.
(d) In bulk solution, 3PS interfaces are highly mobile and can assume
many conformations. When the degree of freedom is lowered due to adsorption
on a surface, the mobility of this interface is heavily dependent
on the strength of the interaction with the surface. If the interaction
is strong, then the interface may be trapped in inactive/open states.
On the other hand, if the interaction is weak, the high mobility of
the interface may make the interface flexibility less important since
the speed of interface movement may surpass the speed of 3PS diffusion.