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Watson MC, Peng Y, Zheng Y, Brown FLH. The intermediate scattering function for lipid bilayer membranes: from nanometers to microns. J Chem Phys 2012; 135:194701. [PMID: 22112091 DOI: 10.1063/1.3657857] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A numerical scheme based upon established hydrodynamic and elastic considerations is introduced and used to predict the intermediate scattering function for lipid bilayer membranes. The predictions span multiple wavelength regimes, including those studied by dynamic light scattering (DLS; microns) and neutron spin-echo (NSE) spectroscopy (10-100 nm). The results validate a recent theory specific to the NSE regime and expose slight inaccuracies associated with the theoretical results available in the DLS regime. The assumptions that underlie both our numerical methods and the related theoretical predictions are reviewed in detail to explain when certain results can be applied to experiment and where caution must be exercised.
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Affiliation(s)
- Max C Watson
- Department of Physics, University of California, Santa Barbara, California 93106, USA.
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Brinker KL, Mochrie SGJ, Burghardt WR. Equilibrium Dynamics of a Polymer Bicontinuous Microemulsion. Macromolecules 2007. [DOI: 10.1021/ma0704820] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kristin L. Brinker
- Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208; Department of Physics, Yale University, New Haven, Connecticut 06520; and Department of Chemical and Biological Engineering and Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208
| | - Simon G. J. Mochrie
- Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208; Department of Physics, Yale University, New Haven, Connecticut 06520; and Department of Chemical and Biological Engineering and Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208
| | - Wesley R. Burghardt
- Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208; Department of Physics, Yale University, New Haven, Connecticut 06520; and Department of Chemical and Biological Engineering and Department of Materials Science and Engineering, Northwestern University, Evanston, Illinois 60208
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Holderer O, Frielinghaus H, Monkenbusch M, Allgaier J, Richter D, Farago B. Hydrodynamic effects in bicontinuous microemulsions measured by inelastic neutron scattering. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2007; 22:157-61. [PMID: 17356800 DOI: 10.1140/epje/e2007-00021-2] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2006] [Indexed: 05/14/2023]
Abstract
The dynamical properties of bicontinuous microemulsions have been studied with neutron spin echo spectroscopy around length scales corresponding to the correlation peak q(0). Comparison of samples with different contrasts for neutrons shed light on the two modes dominated either by variation of the oil/water difference or surfactant concentration in the hydrodynamic regime. The results have been compared to theoretical predictions of the relaxation rates of bicontinuous microemulsions by Nonomura and Ohta [M. Nonomura, T. Ohta, J. Chem. Phys. 110, 7516 (1999)]. The influence of modification of the surfactant layer bending constants in the microemulsion by addition of homopolymers (polyethylenepropylene: PEP(X) and polyethyleneoxide: PEO(X), X=5 kg/mol), dissolved in the oil phase and water, has been investigated.
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Affiliation(s)
- O Holderer
- Institut für Festkörperforschung, Forschungszentrum Jülich GmbH, 52425, Jülich, Germany.
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Ruegg ML, Patel AJ, Narayanan S, Sandy AR, Mochrie SGJ, Watanabe H, Balsara NP. Condensed Exponential Correlation Functions in Multicomponent Polymer Blends Measured by X-ray Photon Correlation Spectroscopy. Macromolecules 2006. [DOI: 10.1021/ma061183y] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Megan L. Ruegg
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Amish J. Patel
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Suresh Narayanan
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Alec R. Sandy
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Simon G. J. Mochrie
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Hiroshi Watanabe
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
| | - Nitash P. Balsara
- Department of Chemical Engineering, University of California, Berkeley, California 94720; Argonne National Laboratory, Argonne, Illinois 60439; Department of Physics, Yale University, New Haven, Connecticut 06520; Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan; and Materials Sciences Division and Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, University of California, Berkeley, California 94720
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Falus P, Borthwick MA, Narayanan S, Sandy AR, Mochrie SGJ. Crossover from stretched to compressed exponential relaxations in a polymer-based sponge phase. PHYSICAL REVIEW LETTERS 2006; 97:066102. [PMID: 17026180 DOI: 10.1103/physrevlett.97.066102] [Citation(s) in RCA: 52] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/27/2006] [Indexed: 05/12/2023]
Abstract
X-ray photon correlation spectroscopy was used to characterize the wave vector- and temperature-dependent dynamics of spontaneous thermal fluctuations in a sponge (L3) phase that occurs in a blend of a symmetric poly(styrene-ethylene/butylene-styrene) triblock copolymer with a polystyrene homopolymer. Measurements of the intermediate scattering function reveal a crossover from stretched- to compressed-exponential relaxations as the temperature is lowered from 180 to 120 degrees C.
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Affiliation(s)
- P Falus
- Department of Physics, Yale University, New Haven, Connecticut 06511, USA
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Komura S, Takeda T, Kawabata Y, Ghosh SK, Seto H, Nagao M. Dynamical fluctuation of the mesoscopic structure in ternary C12E5-water-n-octane amphiphilic system. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 63:041402. [PMID: 11308838 DOI: 10.1103/physreve.63.041402] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2000] [Indexed: 05/23/2023]
Abstract
Dynamical fluctuations of the bicontinuous microemulsion and lamellar structures in ternary C12E5-water-n-octane amphiphilic system are studied by means of neutron spin echo (NSE) spectrometry. The decay rates of the time correlation of the concentration were analyzed in terms of three theories: (1) A. G. Zilman and R. Granek, Phys. Rev. Lett. 77, 4788 (1996), (2) M. Nonomura and T. Ohta, J. Chem. Phys. 110, 7516 (1999), and (3) R. Granek and M. E. Cates, Phys. Rev. A 46, 3319 (1992), in the first of which a Langevin equation for membrane plaquettes and in the latter two of which time-dependent Ginzburg-Landau equations for the order parameters are considered. The result shows that the intermediate correlation functions I(q,t) for the ranges of 0<t<15 ns and 0<q<0.2 A (-1) are well fitted to a stretched exponential function in time, I(q,t)=exp[-(Gammat)(2/3)], for the bicontinuous microemulsion and the lamellar phases of the same systems with the relaxation rate Gamma increasing as q(3) in agreement with theory (1) from which the bending modulus of the membrane kappa was estimated. For more restricted ranges of 0<t<5 ns and 0.05<q<0.15 A (-1) the NSE result can be expressed by an exponential function in time in agreement with theory (2) determined exclusively by hydrodynamic interactions and for extended range of 0<t<10 ns and 0.03<q<0.15 A (-1) by a nonexponential function in agreement with theory (3), from both of which the effective viscosities eta(0) and eta(eff) of the system were estimated. The effective viscosity from the nonexponential eta(eff) is five times greater than that from the simple exponential eta(0) that is almost the same as the literature value. The implication of this result is discussed in terms of the effective viscosity eta(eff) that takes into account the renormalization of the bending modulus of the membrane.
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Affiliation(s)
- S Komura
- Department of Physics, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo, Tokyo 112-8610, Japan.
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