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We introduced silica nanoparticles into poly ($N$,$N$-dimethylacrylamide)gel, (PDAM-NC gel), and poly (acrylamide) gel (PAM-NC gel), and carried outSAXS measurements under uniaxial elongation. It is well known that PDAM chainsare strongly adsorbed onto silica nanoparticles while PAM chains are not.Interestingly, we found from SAXS measurements that scattering profiles dependon the polymer-nanoparticle interaction. A four-spot pattern was observed inthe 2D structure factors of PDAM-NC gel, which was assigned to a movement ofthe nanoparticles affinely under elongation. However, unexpectedly, we observedsharp peaks in the 2D structure factors of PAM-NC gel in the parallel directionto the stretching. These peaks appeared in much lower-$q$ region than thetheoretical prediction of affine deformation of nanoparticles. We conjecturethat these peaks do not correspond to the correlation of individual particlesbut to the correlation of high cross-linking regions because the interactionbetween PAM chains and silica nanoparticles is relatively weak and thedisplacements of silica nanoparticles are sensitive to spatial cross-linkinginhomogeneity.

Cross-linking inhomogeneity in nano-composite hydrogels can be observed as sharp peaks by SAXS experiments under elongation