The mechanical properties and the swelling behavior of a series of N-isopropylacrylamide
copolymers with the sodium salt of 2-acrylamido-2-methylpropanesulfonic acid were investigated. The
increase of the equilibrium gel volume V
eq with the charge density fN was considerably weaker (V
eq ≈
fN
0.75) than expected assuming Gaussian statistics (V
eq ≈ fN
1.5). This deviation is interpreted as the non-Gaussian elasticity of the hydrogels swollen to equilibrium. The exponent 0.75 found indicates that the
elastic free energy Δ
G
el scales with the linear swelling ratio α as ΔG
el ≈ α4, thus deviating from ΔG
el ≈
α2 derived using Gaussian chain statistics. This expression for the elastic free energy explains the behavior
of elastic modulus data of the equilibrium swollen hydrogels.
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