Molecular Electro-Optics Electro-Optic Properties of Macromolecules and Colloids in Solution NATO ADVANCED STUDY INSTITUTES SERIES A series of edited volumes comprising multifaceted studies of contem porary scientific issues by some of the best scientific minds in the world, assembled in cooperation with NATO Scientific Affairs Division. Series B. Physics Recent Volumes in this Series Volume 58 - Cosmology and Gravitation: Spin, Torsion, Rotation, and Supergravity edited by Peter G. Bergmann and Venzo De Sabbata Volume 59 - Recent Developments in Gauge Theories edited by G. 't Hooft, C. Itzykson, A. Jaffe, H. Lehmann, P. K. Mitter, I. M. Singer, and R. Stora Volume 60 - Theoretical Aspects and New Developments in Magneto-optics edited by Jozef T. Devreese Volume 61 - Quarks and Leptons: Cargese 1979 edited by Maurice Levy, Jean-Louis Basdevant, David Speiser, Jacques Weyers, Raymond Gastmans, and Maurice Jacob Volume 62 - Radiationless Processes edited by Baldassare Di Bartolo Volume 63 - Characterization of Crystal Growth Defects by X-Ray Methods edited by Brian K. Tanner and D. Keith Bowen Volume 64 - Molecular Electro-optics: Eiectro-optic Properties of Macromolecules and Colloids in Solution edited by Sonja Krause Volume 65 - Nonequilibrium Superconductivity, Phonons, and Kapitza Boundaries edited by Kenneth E. Gray Volume 66 - Techniques and Concepts of High-Energy Physics edited by Thomas Ferbel This series is published by an international board of publishers in con junction with NATO Scientific Affairs Division A Life Sciences Plenum Publishing Corporation B Physics London and New York C Mathematical and D. Reidel Publishing Company Physical Sciences Dordrecht, Boston and London D Behavioral and Sijthoff & Noordhoff International Social Sciences Publishers E Applied Sciences Alphen aan den Rijn, The Netherlands, and Germantown, U.S.A. Molecular Electro-Optics Electro-Optic Properties of Macromolecules and Colloids in Solution Edited by Sonja Krause Rensselaer Polytechnic Institute Troy, New York PLENUM PRESS. NEW YORK AND LONDON Published in cooperation with NATO Scientific Affairs Division Library of Congress Cataloging in Publication Data NATO Advanced Study Institute on Molecular Electro-optics (1980: Rensselaer Polytechnic Institute) Molecular electro-optics. (NATO advanced study institutes series. Series B, Physics; v. 64) "Proceedings of a NATO Advanced Study Institute on Molecular Electro-optics, held July 14-24,1980, at Rensselaer Polytechnic Institute, Troy, New York" - Verso of t. p. Bibliography: p. Includes index. 1. Macromolecules-Electric properties-Congresses. 2. Macromolecules-Optical properties -Congresses. 3. Colloids-Electric properties-Congresses. 4. Colloids-Optical properties Congresses. I. Krause, Sonja. II. Title. III. Series. QD381.9.E38N22 1980 547.7'04572 81-1314 ISBN-13: 978-1-4684-3916-8 e-ISBN-13: 978-1-4684-3914-4 AACR2 DOl: 10.1007/978-1-4684-3914-4 Proceedings of a NATO Advanced Study Institute on Molecular Electro-Optics, held July 14-24, 1980, at Rensselaer Polytechnic Institute, Troy, New York © 1981 Plenum Press, New York Softcover reprint of the hardcover 1st edition 1981 A Division of Plenum Publishing Corporation 233 Spring Street, New York, N.Y. 10013 All rights reserved No part of this book may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, microfilming, recording, or otherwise, without written permission from the publisher PREFACE The Advanced Study Institute on Molecular Electro-Optics was held on the campus of the Rensselaer Polytechnic Institute, Troy, New York, USA, from July 14 through July 24, 1980. This Advanced Study Institute was attended by sixteen invited lecturers and by forty-eight other participants. The present volume contains the texts of all of the invited lectures presented at the Institute. Although these lectures were supplemented by many animated discussions and by numerous short contributed papers, it was not possible to include these in the present volume. Molecular electro-optics is a difficult subject for research because it incorporates areas of theoretical physics such as elec tromagnetic theory and hydrodynamics of rotational diffusion, ex perimental physics such as lasers, optics, electric pulsers, and data collection via analog to digital converters and signal aver agers, and physical chemistry of macromolecules and colloids in solution (colloid science, biophysical chemistry, double layer polarization). This volume includes chapters on all of these subjects as well as introductions to magnets-optics and to elec trophoretic light scattering. The Advanced Study Institute was sponsored mainly by the North Atlantic Treaty Organization whose financial support made this meeting possible. Additional financial aid was supplied by the National Institutes of Health of the USA through their Fogarty International Center and the National Institute for Arthritis, Metabolism, and Digestive Diseases. Industrial contri buters consisted of the General Electric Company, Cober Electronics, and Malvern Scientific Corporation. I would like to thank all the people whose assistance during the planning and operation of this Institute and during the pre paration of this volume was indispensable. v vi PREFACE Beth McGraw, who served as our Meeting Secretary and worked tirelessly both during the meeting and during the preparation of this Volume, Jeff Boyer, a senior student in Chemistry who was our meeting projectionist and who helped our visitors feel at home, Krystyna Szumilin, my postdoctoral associate, and Nancy Letko, my graduate student, who worked hard during the meeting with the various necessary tasks, Robert Metzger, Manager of Special Events at Rensselaer Polytechnic Institute who made everything flow smoothly, Victoria R. Lee, who typed the major portion of this volume, and Mary K. Nolan, Elizabeth R. Schoonmaker, Susan J. Mangione, and Patricia S. Connell who typed the rest, Walter W. Goodwin, my husband, who helped keep me on an even keel before an during the meeting and during preparation of this book, all the lecturers and participants who made the meeting a stimulating and friendly one. Sonja Krause Director of the Institute CONTENTS A History of Molecular Electro-optics 1 C. T. O'Konski Introduction to Modern Electro-optics 27 B. R. Jennings Small Molecules in Electric and Optical Fields . . . • . .. 61 A. D. Buckingham Rotational Diffusion Coefficients 75 J. Garcia de la Torre The Rotational Diffusion Function in an Electric Field . .. 105 S. P. Stoylov Theory of the Kerr Constant 119 C. T. O'Konski Electric Birefringence Dynamics 147 S. Krause and C. T. O'Konski Kerr Effects of Flexible Macromolecules 163 R. L. Jernigan and S. Miyazawa Light Scattering in Electric Fields 181 B. R. Jennings Wavelength Dependent Aspects of Electric Birefringence and Dichroism .............•.•. 213 E. Charney Polarized Fluorescence in an Electric Field 229 G. Weill vii viii CONTENTS Interaction of Electric Fields with Membrane-Bound Polyionic Proteins 241 E. Neumann and K. Tsuji Threshold Effects in Field-Induced Conformation Changes and Binding of Ions - Including Peptides to Polynucleotides 269 D. Porschke Polyelectrolytes: A Survey 285 A. Mandel Electro-optical Instrumentation Systems with their Data Acquisition and Treatment 309 C. Roussier and C. T. O'Konski The Electro-optics of Proteins 341 J. C. Bernengo Investigating Nucleic Acids, Nucleoproteins, Polynucleotides, and their Interactions with Small Ligands by Electro-optical Methods . 363 C. Roussier Electro-optics of Viruses and Bacteriophages 399 F. S. Allen Application at Electro-optics to the Study of Colloids 417 S. P. Stoylov Electro-optical Properties of Liquid Crystals 435 D. A. Dunmur An Introduction to Magnetic Birefringence of Large Molecules 473 C. Weill Introduction to Laser Light Scattering Spectroscopy in Electrophoresis 485 E. E. Uzgiris List of Lecturers 505 Index 507 A HISTORY OF MOLECULAR ELECTRO-OPTICS Chester T. O'Konski Department of Chemistry University of California Berkeley, CA PHENOMENOLOGICAL DESCRIPTION AND EQUATIONS OF THE KERR ELECTRO-OPTIC EFFECT Before describing Kerr's discovery of the first electro-optic effect to be detected, let us consider the physical principles of the phenomenon. Figure I illustrates the electric double refraction, or birefringence, and introduces conventional terminology. A plane polarized light beam enters a sample placed between plane parallel electrodes connected to an external voltage source. The direction of polarization of the light beam is specified by the direction of its electric vector, E., which is normally oriented at 450 with re spect to the directio~of the applied electric field, as illustrated in the view along the direction of the light beam in Fig. l(a). The vector of the incident light, E., may be decomposed into two compo nents, one parallel to the dir~~tion of the applied electric field, designated Ell' and the other, E l' perpendicular to the direction of the applied electric field. These two vectors are in phase as the electromagnetic radiation enters the medium. Under the influ ence of the external field the refractive indexes of the medium change and become unequal for the parallel and the perpendicular components; the sample behaves like a uniaxial crystal with its unique optic axis in the direction of the applied field·. The two component rays traverse the medium at different velocities, and emerge out of phase, as illustrated in Fig, l(b). The resultant, Ee' produces a vector which describes an ellipse. In the absence of an electric field, the light coming out of the Kerr cell is plane polarized and is extinguished by the crossed analyzer, but in the presence of the field, the emergent light has 1 2 c. T. O'KONSKI Fig. 1. Apparatus for Kerr electro-optic effect (electric bire fringence) experiments. Below it are shown the states of polarization of light: (a) after passing through the polarizer, (b) after passing through the cell, and (c) after passing through the analyzer. E. is the electric vector of the plane-polarized light in~ident upon the sample, and it can be decomposed into two in-phase'compo nents, Ell and E1, parallel and perpendicular, respectively, to the applied electric field. E is the vector of the elliptically polarized light emer~ing from the birefringent solution in the cell, and E is the component of E trans- t e mitted by the analyzer. an electric field component perpendicular to that of the incident polarized light, so that a portion of the light is transmitted by the analyzer, as shown by the vector E in Fig. l(c). The inten- t sity of the transmitted light, relative to that of the incident light, is directly related to the degree of optical anisotropy pro duced by the applied electric field. The optical path length of the cell, for the parallel comp nent of the light, may be expressed by
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