Spherulitic networks: from structure to rheological property.

A finite element method based on ABAQUS is employed to examine the correlation between the microstructure and the elastic response of planar Cayley treelike fiber networks. It is found that the elastic modulus of the fiber network decreases drastically with the fiber length, following the power law. The power law of elastic modulus G' vs the correlation length xi obtained from this simulation has an exponent of -1.71, which is close to the exponent of -1.5 for a single-domain network of agar gels. On the other hand, the experimental results from multidomain networks give rise to a power law index of -0.49. The difference between -1.5 and -0.49 can be attributed to the multidomain structure, which weakens the structure of the overall system and therefore suppresses the increase in G'. In addition, when the aspect ratio of the fiber is smaller than 20, the radius of the fiber cross-section has a great impact on the network elasticity, while, when the aspect ratio is larger than 20, it has almost no effect on the elastic property of the network. The stress distribution in the network is uniform due to the symmetrical network structure. This study provides a general understanding of the correlation between microscopic structure and the macroscopic properties of soft functional materials.

Why does insect antifreeze protein from Tenebrio molitor produce pyramidal ice crystallites?

The antifreeze protein (AFP) reduces the growth rates of the ice crystal facets. In that process the ice morphology undergoes a modification. An AFP-induced surface pinning mechanism, through matching of periodic bond chains in two dimensions, enables two-dimensional regular ice-binding surfaces (IBSs) of the insect AFPs to engage a certain class of ice surfaces, called primary surfaces. They are kinetically stable surfaces with unambiguous and predetermined orientations. In this work, the orientations and molecular compositions of the primary ice surfaces that undergo growth rate reduction by the insect AFPs are obtained from first principles. Besides the basal face and primary prism, the ice surfaces engaged by insect AFPs include the specific ice pyramids produced by the insect AFP Tenebrio molitor (TmAFP). TmAFP-induced pyramids differ fundamentally from the ice pyramids produced by fish AFPs and antifreeze protein glycoproteins (AFPGs) as regards the ice surface configurations and the mode of interaction with the protein IBS. The molecular compositions of the TmAFP-induced pyramids are strongly bonded in two dimensions and have the constant face indices (101). In contrast, the molecular composition of the ice pyramids produced by fish AFPs and AFPGs are strongly bonded in only one direction and have variable face indices (h 0 l), none of which equal (101). The thus far puzzling behavior of the TmAFP in producing pyramidal crystallites is fully explained in agreement with experiment.

Ice surface reconstruction as antifreeze protein-induced morphological modification mechanism.

The crystal growth process by which fish antifreeze proteins (AFPs) and antifreeze glycoproteins (AFGPs) modify the ice morphology is analyzed in the AFP-ice system. A newly identified AFP-induced surface reconstruction mechanism enables one-dimensional helical and irregular globular ice binding surfaces to stabilize secondary, kinetically less stable ice surfaces with variable face indices. Not only are the relative growth rates controlled by the IBS engagement but also the secondary face indices themselves become adjusted in the process of maximizing the AFP-substrate interaction, through attaining the best structural match. The theoretical formulation leads to comprehensive agreement with experiment.

Antifreeze protein-induced morphological modification mechanisms linked to ice binding surface.

The mechanisms by which the antifreeze protein (AFP) modifies the ice morphology are identified precisely as surface poisoning by the ice binding surface (IBS) of insect AFPs and as bridge-induced surface reconstruction by the IBS of fish AFPs and antifreeze glycoproteins. The primary surfaces of hexagonal ice have predetermined face indices. The "two-dimensional" insect type IBS has regularly spaced binding intervals in two directions. It causes surface poisoning by matching and reinforcing simultaneously intersecting strong bonding directions on the primary ice surfaces. The secondary ice surfaces have variable face indices. The "one-dimensional" and "irregular" IBS variants of fish AFPs and antifreeze glycoproteins are either linearly extended with regular ice binding intervals or have ice binding sites lacking spacing regularity. These variants can bridge transversely lattice periods or shorter oxygen-oxygen distances between parallel adjacent strong bonding directions that do not intersect. Thus, one-dimensional and irregular IBS variants induce supplementary bridges cross-wise on selected secondary surfaces by mimicking strong bonding directions that are not present in the ice structure. These proteins cause surfaces with variable face indices, which in the absence of the AFPs would not grow flat, to appear in the morphology. Whereas for the primary ice surfaces it is only the morphological importance that is determined by the experimental conditions, for the secondary ice surfaces it is the face indices themselves that become adjusted in the process of maximizing the AFP-substrate interaction through attainment of the best structural match. The growth morphology of the AFP-ice system is derived from various factors, including the face indices, surface molecular compositions, relative growth rates, and the mechanisms responsible for that morphology. The theoretical formulation agrees with experiments over a wide range and resolves these, to date, unexplained phenomena.