Wormlike Chains Near the Rod Limit: Translational Friction Coefficient

Wormlike Micelles of Pentaoxyethylene Tetradecyl Ether C14E5 and Hexaoxyethylene Hexadecyl Ether C16E6

“…In our previous papers, [1][2][3] it has been indicated that in similar plots, the data points at different T asymptotically form a single composite curve at low c, or small M w , providing the relationship between R H and M w for ''isolated'' micelles. According to the previous findings, we have analyzed the data points at small M w at each fixed T in Figure 8 by the hydrodynamic theories given by Norisuye et al 10 for the wormlike spherocylinder model and by Yamakawa et al 11,12 for the wormlike cylinder model, although the data points are rather scarce. The equation for R H reads…”

“…[10][11][12] By eqs 10 and 11, the theoretical values of R H have been calculated as a function of M w for various values of À1 with the use of the d value 2.5 nm determined above for the C 14 E 5 and C 16 E 6 micelles. Here, L in eq 11 is replaced by L w given by eq 10.…”

“…We have determined the values of the molar mass M w ðcÞ of the micelles at a specific c along with the cross-sectional diameter d from the analysis of the SLS data by using a molecular thermodynamic theory 7,8 formulated with the wormlike spherocylinder model. It is then found that molar mass M w dependence of the mean-square radius of gyration hS 2 i, hydrodynamic radius R H , and intrinsic viscosity ½ is quantitatively represented by the chain statistical 9 and hydrodynamic [10][11][12][13] theories based on the wormlike chain and spherocylinder models, respectively, thereby yielding the values of the stiffness parameter À1 and/or d. These analyses have demonstrated that the C i E j micelles assume a shape of flexible cylinder. We have so far characterized micelles of the surfactants C i E j with various i and j, and examined effects of the hydrophobic i and hydrophilic chain length j on size, structure, and flexibility of the micelles.…”

Architecture of multi-component copolymer brushes

“…Hydrodynamic radii of the rod-like aggregates can be estimated from the data obtained in the SEM image. The theoretical hydrodynamic radius R H of a rigid rod in a Kratky-Porod worm-like chain (KP chain) model can be calculated using the cross-sectional radius of a rigid rod R and its contour length L [28]. As a result, R H of the large rod can be calculated to be 890 nm by employing the observed values of R (240 nm) and L (4 ¹m) from the SEM image.…”

Wormlike Micelles of Polyoxyethylene Alkyl Ethers CiEj

“…We have determined the weight-average molar mass M w of the micelles as a function of surfactant mass concentration c along with the cross-sectional diameter d from the SLS data by using a molecular thermodynamic theory 21,38 formulated with the wormlike spherocylinder model. It has then found that the molar mass M w dependence of mean-square radius of gyration hS 2 i, hydrodynamic radius R H , and intrinsic viscosity [] for the micelles of pure C i E j with various i and j [22][23][24][25][26][27][28] and their binary mixtures 29,30 is quantitatively represented by the chain statistical 39 and hydrodynamic theories [40][41][42][43] based on the wormlike chain and spherocylinder models, respectively. In particular, it has been demonstrated that the fuzzy cylinder theory [44][45][46][47] is favorably applied to analyze the apparent hydrodynamic radius R H,app , which is directly obtained from DLS experiment, as a function of the micelle concentration, thereby yielding the concentration-dependent micellar growth by separating contributions of the enhancement of hydrodynamic interactions among micelles with increasing concentration.…”