Orientational relaxation of aligned rod-like micelles on a time scale of 300 ms

Herbst, Leandra; Hoffmann, H.; Kalus, J.; Thurn, H.; Ibel, K.; May, Roland P.

doi:10.1016/0301-0104(86)80045-3

Cited by 15 publications

(7 citation statements)

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“…6 For convenience, a distribution function with u = 25 is presented in Figure 11. In this case and for a constant shear rate, the solution can be found by equating the right-hand side of eq 5 to zero.…”

Section: The Made1mentioning

confidence: 99%

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Transient small-angle neutron scattering experiments on micellar solutions with a shear-induced structural transition

Muench¹,

Hoffmann²,

Ibel³

et al. 1993

J. Phys. Chem.

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Transient small-angle neutron scattering (SANS) experiments on a sheared 5 mM aqueous surfactant solution of trimethyltetradecylammonium salicylate (TTMA-Sal) are reported. The radially symmetric scattering pattern without shear shows a weak ringlike correlation "peak". For steady shear rates above a threshold value of r t h = 50 s-', the scattering pattern becomes rapidly anisotropic and the ring is compressed into two sharp, symmetric peaks. These changes are related to a shear-induced structural transition. The analysis of the data reveals the existence of two different types of micelles: Short rodlike micelles (called type I) are always present, and they are only weakly aligned. Very long rodlike micelles (named type 11) can be observed only above the threshold value of I?, and they are strongly aligned. Both types of micelles are assumed to be of cylindrical shape, with a radius R = 1.94 f 0.07 nm. We report the results on three time-dependent SANS experiments, where the shear rate was raised stepwise from zero to a value of rex = 100, 200, and 400 s-', respectively. It is found that the long micelles of type 11, which are not present at time t = 0, begin to grow a short time after switching on the shear. The number of surfactant molecules bound in type I micelles decreases, whereas the number of molecules bound in micelles of type I1 increases. The sum of both remains constant. The growth of the large micelles proceeds according to the Avrami law, which was originally designed to describe nucleation and growth reactions in metals and alloys.

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Section: The Made1mentioning

confidence: 99%

“…II: Fit Parameters 4 and b aa Used for the p"(t) Functions (See Equation6 andFigure 13) as Well as the Corresponding UI for the Three Different 014-0.06 SKI. The reason is that the model of Peterlin and Stuart,' leading to (3, proceeds from particles which can rotate freely.…”

mentioning

confidence: 99%

Transient small-angle neutron scattering experiments on micellar solutions with a shear-induced structural transition

Muench¹,

Hoffmann²,

Ibel³

et al. 1993

J. Phys. Chem.

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“…[4][5][6][7][8] were used to fit (F2(Q)) according to Eq. (2) vanishes, i.e., G(Q) becomes equal to zero.…”

Section: The Small-angle Scattering Apparatusmentioning

confidence: 99%

“…Theoretical work on the distribution of the axes of rodlike particles immersed in a liquid with a shear gradient is available [4,5] and can be used to describe the anisotropic diffraction pattern. It turns out that within the framework of this theory the pattern depends only on two parameters, the shear rate E and the rotational diffusion constant D. However, the above mentioned theory does not take into account any interaction between the micelles.…”

Section: Introductionmentioning

confidence: 99%

Small-angle neutron scattering on shear-induced micellar structures

Kalus

Hoffmann

Ibel

1989

Colloid & Polymer Sci

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Small-angle neutron scattering (SANS) experiments on sheared aqueous surfactant solutions of tetradecyltrimethylammoniumsalicylate (TTMA-Sal) are reported. A 5-raM-solution without shear shows a weak correlation peak at a momentum transfer of 0.09 nm -1 which has its origin in the micellar interaction. For shear rates above a threshold value of F = 40 s 1 the scattering pattern shows an irregular increase in anisotropy[ The analysis of the anisotropic pattern reveals the existence of two types of micelles: Small rodlike micelies which are weakly aligned and very large rodlike aggregates which are strongly aligned and which are present above the threshold value of F. The two micelles are in equilibrium with each other and the equilibrium shifts with increasing shear rate to the side of the large oriented micelles.

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“…In the SI, we explore this case further, and demonstrate that it does not generally provide quantitative results for moments of the OPDF. For case (2), fitting of SAS patterns has been restricted to situations where the microstructure is modeled as a cylinder and the OPDF is assumed to be uniaxial [14,[27][28][29][30][31][32][33][34][35]. As will be discussed in detail later, the ill-posedness of the underlying fitting problem makes these schemes highly sensitive to experimental noise.…”

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confidence: 99%

Bayesian estimations of orientation distribution functions from small-angle scattering enable direct prediction of mechanical stress in anisotropic materials

Corona

Silmore

Adkins

et al. 2021

Phys. Rev. Materials

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Orientational relaxation of aligned rod-like micelles on a time scale of 300 ms

Cited by 15 publications

References 7 publications

Transient small-angle neutron scattering experiments on micellar solutions with a shear-induced structural transition

Transient small-angle neutron scattering experiments on micellar solutions with a shear-induced structural transition

Small-angle neutron scattering on shear-induced micellar structures

Bayesian estimations of orientation distribution functions from small-angle scattering enable direct prediction of mechanical stress in anisotropic materials

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