Toward understanding the effect of substitutes and solvents on entropic and enthalpic elasticity of single dendronized copolymers

Modeling single chain elasticity of single-stranded DNA: A comparison of three models

“…In this way, there is no free parameter left in Eq. (9). The excellent fitting result in the entire force regime indicates that the QM calculations reflect the inherent single chain elasticity of ssDNA and the QM-FRC model is appropriate for ssDNA.…”

“…(2)) and the freely rotating chain (FRC) model (Eq. (3)) have attracted more attention than others [2,[5][6][7][8][9][10].…”

“…Actually, the minor variation of bond length and bond angle upon stretching does enlarge the contour length of a polymer. To meet the practical conditions, enthalpic elasticity is integrated into the models, which improved the fitting performance of the models for many polymers [9,[14][15][16][17][18][19][20][21][22][23], see Eq. (4).…”

A Multiscale Investigation on the Mechanism of Shape Recovery for IPDI to PPDI Hard Segment Substitution in Polyurethane

“…Figure displays the single molecule force spectroscopy results and their dependence on the synthesized polyurethanes. The modified freely jointed chain (M-FJC) model is used to fit the force–extension curves of all samples. − The M-FJC model treats a polymer chain as an aggregate of Kuhn segments with a length of l k (Kuhn length) and segment elasticity, K segment . The model is shown as follows: Here, F is the external load, x is the length of the polymer chain under external load, l k is the Kuhn length, k B is the Boltzmann constant, T is the absolute temperature, L contour is the contour length of the polymer chain, n is the number of Kuhn segments in the polymer chain (equals to L contour / l k ), and K segment is the segment elasticity (describing the deformability of Kuhn segments).…”

Interrogation of Single Synthetic Polymer Chains and Polysaccharides by AFM‐Based Force Spectroscopy

“…This model extension considers the molecule as n identical elastic springs in series, and uses the segment elasticity K s to describe each segment. The m‐FJC model has been successfully used on a variety of synthetic polymers, such as polystyrene (PS),142 poly(vinyl alcohol) (PVA),49 poly(acrylic acid) (PAA),143 PEG,50 poly( N ‐isopropylacrylamide) (PNIPAM),144 polyacrylamide (PAAM),144 polydimethylacrylamide (PDMA),56 polydiethylacrylamide (PDEA),56 poly(2‐acrylamido‐2‐methylpropanesulfonic acid) (PAMPS),64 poly(ferrocenyldimethylsilane) (PFDMS),121, 145–147 dendronized polymers,148, 149 and poly( N ‐vinyl‐2‐pyrrolidone) (PVP),52 as well as many polysaccharides, including dextran,69, 70 amylose,70 cellulose,53, 70 carrageenan,54, 74 curdlan,150 and carboxymethylcellulose (CMC) 151. The fitting parameters and typical “pull‐off” force values for the stretching behavior of synthetic polymers and polysaccharides under specific solvent conditions, as described by FJC models and reported in the literature, are displayed in Tables 3 and , 4.…”