Spatial inhomogeneity of chain orientation associated with strain-induced density fluctuations in polyethylene

The kinked structure and interchain van der Waals interaction of carbyne nanocrystals

“…Additionally, other reports indicated that the energy shi relates to strain which can modulate the electronic structure, Fermi level and charge density of nanostructures. 27,28,39,40…”

Spatial Distribution of the Amorphous Region Constrained by Polymer Crystallites

“…We describe the model functions to fit the experimental S ij ( q ). Bensason et al clarified by transmission electron microscopy that the bulk EOC consists of random distribution of granular crystallites in an amorphous matrix, unlike lamellar structures seen in HDPE. , Thus, we assumed the existence of the highly concentrated amorphous region surrounding the crystallites, as shown in Figure a. If the crystalline region, highly concentrated amorphous region, and matrix region are denoted as α, β, and γ, respectively, S ij ( q ) can be expressed by S cc ( q ) = F α false( q false) 2 S ( q ) S ca ( q ) = F α ( q ) [ false( ϕ β − ϕ γ false) F α + β false( q false) − ϕ β F α false( q false) ] S ( q ) S aa ( q ) = false[ ( ϕ β − ϕ γ ) F α + β …”

“…We describe the model functions to fit the experimental S ij ( q ). Bensason et al clarified by transmission electron microscopy that the bulk EOC consists of random distribution of granular crystallites in an amorphous matrix, unlike lamellar structures seen in HDPE. , Thus, we assumed the existence of the highly concentrated amorphous region surrounding the crystallites, as shown in Figure a. If the crystalline region, highly concentrated amorphous region, and matrix region are denoted as α, β, and γ, respectively, S ij ( q ) can be expressed by where F α ( q ) and F α+β ( q ) are, respectively, the scattering amplitudes of region α and region α + β.…”

“…In this study, we investigated the RA region of EOC, which has been investigated extensively on the RA region. Note that the EOC used in this study consists of random distribution of granular crystallites, unlike lamellar structures observed in HDPE. , First, we performed CV-SAXS of the EOC swollen by solvents with various SLDs and clarified the characteristics and spatial distribution of the crystalline, RA, and melt-like regions. Then, we compared the estimated volume fractions of each region with those determined by pulsed 1 H-NMR to show that our results are consistent with other experimental results.…”

“…This behavior of I(q) originates from the condition b s ≫ b a ≈ b c . Under the condition, I(q) is well approximated by [ + + ] I q b b S q S q S q ( ) ( ) ( ) 2 ( ) ( ) c s 2 cc ca aa (20) and the swollen EOC for SANS will be almost regarded as a two-component system composed of the "polymer" and the solvent. The solid curves of I(q) correspond to the results calculated with eq 20 and agree with I(q) calculated with eq 19.…”