Partially Ordered Systems Editorial Board: L. Lam . D. Langevin Advisory Board: J. Charvolin . W. Helfrich . P .A. Lee J.D. Litster . D.R. Nelson· M. Schadt Partially Ordered Systems Editorial Board: L. Lam • D. Langevin Solitons in Liquid Crystals Lui Lam and Jacques Prost, Editors Bond-Orientational Order in Condensed Matter Systems Katherine J. Strandburg, Editor Diffraction Optics of Complex-Structured Periodic Media V.A. Be1yakov Fluctuational Effects in the Dynamics of Liquid Crystals E.!. Kats and V.V. Lebedev Nuclear Magnetic Resonance of Liquid Crystals Ronald Y. Dong Electrooptic Effects in Liquid Crystal Materials L.M. Blinov and V.G. Chigrinov Liquid Crystalline and Mesomorphic Polymers Valery P. Shibaev and Lui Lam, Editors Micelles, Membranes, Microemulsions, and Monolayers William M. Gelbart, Avinoam Ben-Shaul, and Didier Roux, Editors William M. Gelbart Avinoam Ben-Shaul Didier Roux Editors Micelles, Membranes, Microemulsions, and Monolayers With 220 Illustrations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Barcelona Budapest William M. Gelbart Avinoam Ben-Shaul Didier Roux Department of Chemistry Department of Physical CRPP and Biochemistry Chemistry Domaine Universitaire University of California Hebrew University 33405 Talence Cedex 405 Hilgard Avenue 91904 Jerusalem France Los Angeles, CA 90024-1569 Israel USA Editorial Board: Lui Lam Dominique Langevin Department of Physics Laboratoire de Physique ENS San Jose State University 24 Rue Lhomond One Washington Square F-75231 Paris, Cedex05 San Jose, CA 95192-0106 France USA Advisory Board: Jean Charvolin Wolfgang Helfrich Patrick A. Lee Institut Max von Laue-Paul Freie Universitat Berlin Massachusetts Institute of Langevin Technology John D. Litster David R. Nelson Martin Schadt Massachusetts Institute of Harvard University F. Hoffman-La Roche Technology &Co. Library of Congress Cataloging-in-Publication Data Micelles, membranes, microemulsions, and monolayers / [edited by] William M. Gelbart, Avinoam Ben-Shaul, Didier Roux. p. cm. - (Partially ordered systems) Includes bibliographical references and index. ISBN-13:978-1-4613-8391-8 1. Surface active agents. 2. Micelles. 3. Emulsions. I. Gelbart, W. (William) II. Ben-Shaul, A. (Avinoam) III. Roux, D. (Didier) IV. Series. TP994.M53 1994 541.3'3-dc20 94-15496 Printed on acid-free paper. ©1994 Springer-Verlag New York, Inc. Softcover reprint of the hardcover 1st edition 1994 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereaf ter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Production managed by Hal Henglein; manufacturing supervised by Vincent Scelta. Camera-ready copy prepared from the editors' TeX files. 987654321 ISBN-13:978-1-4613-8391-8 e-ISBN-13:978-1-4613-8389-5 DOl: 10.1007/978-1-4613-8389-5 Preface Over the course of the past one to two decades, the study of surfactant solutions has been profoundly transformed by a dramatic infusion of new ideas and techniques from Chemistry, Physics, and Materials Science. This renaissance in fundamental research activity has been sparked largely by the many connections and analogies that have been established between micellar phases and micro emulsions on the one hand and polymer sys tems and interfacial films on the other. Consequently, many otherwise in tractable conceptual and technical problems arising in the self-assembly area have now become feasible to study because of theoretical and exper imental breakthroughs in the general field of complex fluids. For example, the theory of critical phenomena and polymer structure/dynamics (includ ing scaling and renormalization group ideas) has been especially useful, as have new high-resolution scattering and magnetic resonance spectroscopies. The purpose of this book is to develop a systematic account of the ex citing developments referred to above. Part of our effort is devoted to pro viding a general introduction to the broad range of phenomena involved and part to offering a critical consensus of what is presently understood and what is not. While the book consists of twelve chapters by different authors, we have specifically edited them so that they reinforce one an other in content, format, and notation. Almost every page of each chapter contains an explicit reference to related sections of other chapters. A single subject index at the back of the book refers to all chapters simultaneously. In the remainder of this Preface we make some general remarks about the physical systems and problems involved, and about how they are treated in the present monograph. First, though, a few words about the evolution of this particular volume. For several years, the editors had been encouraged to write a book that would go beyond the usual collections of disjointed articles and compendia of conference proceedings, etc. These latter types of volumes, after all, do not provide the "uninitiated" but interested reader with a sufficiently in cisive or critical introduction to the field. Often, in explaining our work to colleagues and visiting researchers in different areas of physical chemistry and condensed matter science, we have been asked for instructive references where they might follow up on these discussions. In response, we came up with the idea of an edited volume, where the chapters would be written by different experts in the various subfields but where each contribution would be revised to complement and dovetail with all of the others, i.e., each author would have to agree beforehand to have their essay substan- vi Preface tively edited with this end in mind. While we are confident that none of them has regrets in having assigned us these rights, we are also sure that they will never forgive us for having taken so long before we buckled down and completed this time-consuming job. Since many chapters were con tributed for the first time as early as 1987 and 1988, and since several of them were written by colleagues from France, we thought it appropriate that the volume should appear in 1989, in time to celebrate the bicente nary of the French Revolution. When 1993 came along and we still hadn't found sufficient time for revising and transcribing all the texts, we decided to commemorate instead the notorious Terror of 1794. The authors have graciously managed to continue to speak to us over the past few years and to humor us in our belief that the long delays involved might indeed make the subject material more timeless, even if less timely. In most cases, refer ences have been updated and paragaraphs added at the appropriate places to follow up on the earlier work described and to apprise the reader of some most recent developments. A surfactant, or amphiphile-"loving" ("philo") "both" ("amphi") molecule is made of two parts that have opposing natures: one is water soluble (hydrophilic) and the other is oil soluble (hydrophobic). The hy drophilic and hydrophobic parts of the surfactant are linked together by a chemical bond and consequently cannot phase separate as they would if the two parts were free. When such molecules are put in water they prefer the (water/air) surface, where the hydrophilic "heads" and hydrophobic "tails" lie, respectively, in and out of the water. Indeed, for a small amount of surfactant, they practically all lie at the interface. As a consequence, the (liquid-vapor) surface tension decreases as the concentration of surfac tant increases. Then, at a certain concentration (the Critical Micelle Con centration, or "CMC"), the surface tension levels off and remains nearly constant. Careful study of this phenomenon confirms that the added sur factant molecules no longer go preferentially to the surface but rather go into solution in the bulk of the aqueous phase. There the molecules orga nize as small aggregates-micelles-which are often globular in shape, the tails comprising the interior and the heads coating the surface. In both the very low concentration regime, where most of the added molecules are at the surface, and in the higher concentration case, where aggregates are formed, the physical phenomenon responsible for such be havior is referred to as the hydrophobic effect and is due to a subtle balance between intermolecular energies and entropies. (This is the same hydropho bic effect that underlies the (classic) immiscibility of oil and water.) For concentrations of surfactant that greatly exceed the CMC, there is a negli gible number of molecules that sit at the surface or remain as monomers in solution. The aggregated molecules, on the other hand, reveal themselves in a large variety of structures. Indeed, upon increasing further the concentra tion of surfactant, long-range ordered phases may appear, such as lamellar or hexagonal states: these phases are commonly classified under the name Preface vii of lyotropic liquid crystals. Furthermore, adding oil to micellized surfactant solutions leads to many different structures and phases of microemulsion. The industrial applications of amphiphilic molecules were recognized very early. The cleaning power of soaps is probably one of the oldest and best known exploitations. But the practical uses of amphiphilic species have increased dramatically in recent times, including a variety of important applications in the pharmaceutical, cosmetics, and oil industries. Perhaps most spectacular of all will be the use of surfactant layers (as Langmuir Blodgett films) in the fabrication of new optical and electronic devices. With compelling impetus from these developments, fundamental scientists have also recognized the importance of studying surfactants in solution. A large amount of work was devoted in the 1940s and 50s to understanding the phase behavior and structural properties of many amphiphilic systems. In addition, the discovery that biological membranes in living cells are inte grally composed of lipids, which are basically "just" surfactant molecules, has inspired many studies of bilayers (lamellae) as simple models for cell membranes. In the 1960s, a remarkable series of x-ray studies (which even now remain up to date) established the similarity of behavior between lipids and "simple" amphiphiles and identified the different types of structures that can be found in both biological and "ordinary" surfactant systems. As already remarked, in the last decade or two, the field of surfactants in solution has undergone profound changes. A good part of this rebirth is due to the development of new understanding in the area of thermotropic ("neat") liquid crystals. Indeed, at the time in the early 1970s when the modern era of liquid crystals was launched, lyotropic systems were actively being ~nvestigated as a special class of these aligned fluids. The system atic studies of micellar phase diagrams led to important discoveries such as biaxial nematics (which to this day have not been discovered for ther motropic systems), and in-plane defects in what had long been considered as regular ("classical") lamellae. For obvious reasons, the main interest of the liquid crystal community was focused on long-range ordered phases, with scant attention paid to the isotropic solutions composed of small glob ular ("spherical") micelles. The oil crisis in the 1970s, and the possibility of using microemulsions for enhanced oil recovery, had (among many other consequences) the effect of attracting the interest of an increasing number of scientists to these fascinating disordered phases. The many problematic definitions of microemulsions in the early liter ature were a natural reflection of the scientific community's ignorance of what they really were. Now that much more is known, having a precise definition seems to be of less importance! We simply recall that for certain types of surfactants, or combination of surfactants, it is possible to mix wa ter and oil in all proportions with only a small amount of surfactant (just a few percent in favorable cases). The thermodynamically stable phase ob tained is liquid, isotropic, optically transparent, and is conveniently called microemulsion. A great deal of work has been devoted to understanding viii Preface the structure and stability of such phases, and only now can a coherent description of this state be given. From all the work that has been done on the states of surfactants in solution, there emerges a fundamental new concept: these phases are often better described as phases of surfaces than as phases of particles. The ability of surfactants in solution to aggregate can in fact be seen as the ability to create surfaces in the bulk of the solution. This is true not only for the lyotropic liquid crystal phases but even more so for the isotropic fluids such as microemulsions. The statistical physics of fluctuating surfaces is a field that is currently in initial but fast-moving stages of development: it is too early to describe the full behavior of amphiphilic systems exclusively in terms of phases of surfaces-but it is clearly the direction that will be followed in the next few years. In pursuing this course, we will continue to benefit from describing these phases by means of what is known and well established in other fields, notably those of simple fluids, liquid crystals, polymers, and quasi-two-dimensional systems. In this spirit, we shall emphasize throughout this monograph both what can be learned about amphiphilic systems via analogies with these other areas and-still more importantly-what can not. We proceed, then, by dividing the characteristic features of amphiphilic systems into two classes. On the one hand, the properties of surfactant solutions correspond to well understood behaviors of other systems but with a different range of phys ical parameters. This is largely the case, say, for the existence of uniaxial nematic phases (Chapter 3), the isotropic phase of interacting microemul sion droplets that can be considered as an example of colloidal suspension (Chapters 7 and 9), and the critical behavior of micellar and micro emulsion systems (Chapter 11). But, on the other hand, entirely new concepts have also to be developed. This is most notably the case for micellar growth in dilute surfactant solutions (Chapters 1 and 2), size/alignment coupling in micellar liquid crystals (Chapters 1 and 3), curvature frustration in systems of parallel films (Chapter 4), fluctuations in dilute lamellar phases (Chap ters 5 and 6), and bicontinuous states of microemulsions (Chapters 7-9). Also, in systems of adsorbed surfactant monolayers, dramatically low in terfacial tensions can occur (see Chapter 10), and the nature of the special phase transitions that arise is due to the inter- (half 2-D/half 3-D) dimen sionality of the interfacial film (Chapter 12). In these latter instances, we are confronted by wholly new phenomena for which it is no longer sufficient to make simple analogies with "ordinary" liquid crystal or polymer fluids. We stress that the fundamental conceptual differences between micellar solutions and "ordinary" colloidal suspensions do not arise only as special cases involving extreme circumstances. Rather, they are often unavoidable, dominating the observable properties under virtually all conditions. Even in a dilute ("ideal solution") phase of micellar aggregates, for example, new phenomena appear because the basic "particles" involved-micelles- do not maintain their integrity as the concentration or temperature, say, Preface ix is varied. Instead, the equilibrium position of the exchange of molecules between aggregates is shifted. That is, not only do we have more "parti cles" as we add surfactant, but we also see a change in their average size. The extent to which there are increases in the number of aggregates, versus changes in their size, depends on the details of the surfactant and aqueous solvent involved. At higher concentrations, where interactions between the aggregates become important, the onset of long-range orientational and positional order can be shown to enhance further the size of the micelles. Clearly, we are dealing with a situation in which-unlike the ordinary col loidal suspension-the experimentalist can only control the total number of added molecules: the number of aggregates and hence the distribution of sizes will be determined by the statistical thermodynamics of exchange and the degree of long-range order. After a long period during which the physics of amphiphilic systems was considered as essentially descriptive, important breakthroughs in both experimental and theoretical studies have made possible precise, quanti tative accounts of many classes of these systems. On the experimental side, it has become possible to probe directly the intramolecular struc ture and dynamics of surfactants in aggregates. Selective deuteration and relaxation spectroscopies, developed in the context of nuclear magnetic resonance techniques, have been especially fruitful. Similarly, the overall shapes and sizes of micelles-and the polymorphism and defect charac teristics of their ordered phases-have been incisively investigated by a concerted combination of static and dynamic light scattering, synchrotron x-ray diffraction, and small angle neutron spectra. Novel fluorescence and electron microscopies have also been developed and applied. On the the oretical side, physicists and chemists have turned to amphiphilic systems from the more "standard" areas of simple fluids, liquid crystals, polymers, and thin films, bringing with them the powerful conceptual techniques of many-body perturbation theories, continuum and scaling approaches, fluc tuation and critical phenomena, symmetry analyses, and the statistical me chanics of model hamiltonians. In this process, several classic problems and phenomena-including ultra-low interfacial tensions and adsorbed mono layer phase transitions-have finally been put on a firm conceptual footing. There are basically two prevailing and complementary levels of phe nomenological description of aggregates in solution. The first is couched in terms of individual molecules and tries to deduce the structure and phase behavior of their aggregates from the hamiltonian and free energy of such molecules in an aqueous solvent. While in prinCiple such an approach could proceed from detailed interaction potentials between each surfactant and water molecule, followed by explicit molecular dynamics or Monte Carlo simulations, in practice we must await several new generations of com puter power before it will be feasible to carry out a priori calculations of this kind with enough particles and for sufficiently long times. For example, to describe the spontaneous formation of just a single micelle at low concen- x Preface trations (1O-5M, say), one needs to consider at least 106 water molecules and calculate for as long as billions of picoseconds; furthermore, interac tion potentials between all of the relevant surfactant and aqueous solution species must be known to far better than current accuracy. Accordingly, comprehensive approaches that start from the individual molecules have necessarily been of the phenomenological kind in which spins on a lattice are introduced, for example, with many-site interactions being used to keep surfactant at the oil-water interface with its preferred curvature. By con trast, the second level of description starts from the outset with already formed aggregates of specified shapes. Here the focus is on the interface between hydrophobic and hydrophilic regions, rather than on any single molecular species. A free energy is associated directly with this interface, featuring separately its bending (curvature) elasticity and its topological entropy. The power of this continuum approach lies in its natural ease in predicting the coupling between self-assembled (meso -scopic) structures on the one hand, and phase transition (long -range) behavior on the other, even as it gives up the possibility of describing structure and order on a single molecule level. The aim of the book is to present in a series of twelve chapters a care fully chosen set of problems on which sufficient progress has been made to provide agreed-upon starting points for further work in fundamental am phiphilic science. We intend this monograph specifically to serve as an in troduction for both young and established researchers who are interested in moving into this "new" (renewed) and challenging field. As mentioned ear lier, much effort has been devoted to cross-referencing the discussion, with the intention of emphasizing the several common concepts that underlie the broad range of physical effects covered. By emphasizing these central themes we hope to focus further attention on the coupling of self-assembly to thermodynamic and long-range ordering variables, the topology of de fects, fluctuations, and structure of "inter"-dimensional (i.e., quasi 2D and 3D) systems, and phases of surfaces. All of these ideas playa crucial role in understanding the basic physical properties of amphiphilic systems, and point up the dramatic contrasts with "simple" fluids, "ordinary" liquid crystals and colloidal suspensions, and "conventional" solid-state systems.