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There is a unity to physics; it is a discipline which provides the most fundamental understanding of the dynamics of matter and energy. To understand anything about a physical system you have to interact with it and one of the best ways to learn something is to use electrons as probes. This book is the result of a meeting, which took place in Magdalene College Cambridge in December 2001. Atomic, nuclear, cluster, soHd state, chemical and even bio- physicists got together to consider scattering electrons to explore matter in all its forms. Theory and experiment were represented in about equal measure. It was meeting marked by the most lively of discussions and the free exchange of ideas. We all learnt a lot. The Editors are grateful to EPSRC through its Collaborative Computational Project program (CCP2), lOPP, the Division of Atomic, Molecular, Optical and Plasma Physics (DAMOPP) and the Atomic Molecular Interactions group (AMIG) of the Institute of Physics for financial support. The smooth running of the meeting was enormously facilitated by the efficiency and helpfulness of the staff of Magdalene College, for which we are extremely grateful. This meeting marked the end for one of us (CTW) of a ten-year period as a fellow of the College and he would like to take this opportunity to thank the fellows and staff for the privilege of working with them.

There is a unity to physics; it is a discipline which provides the most fundamental understanding of the dynamics of matter and energy. To understand anything about a physical system you have to interact with it and one of the best ways to learn something is to use electrons as probes. This book is the result of a meeting, which took place in Magdalene College Cambridge in December 2001. Atomic, nuclear, cluster, soHd state, chemical and even bio- physicists got together to consider scattering electrons to explore matter in all its forms. Theory and experiment were represented in about equal measure. It was meeting marked by the most lively of discussions and the free exchange of ideas. We all learnt a lot. The Editors are grateful to EPSRC through its Collaborative Computational Project program (CCP2), lOPP, the Division of Atomic, Molecular, Optical and Plasma Physics (DAMOPP) and the Atomic Molecular Interactions group (AMIG) of the Institute of Physics for financial support. The smooth running of the meeting was enormously facilitated by the efficiency and helpfulness of the staff of Magdalene College, for which we are extremely grateful. This meeting marked the end for one of us (CTW) of a ten-year period as a fellow of the College and he would like to take this opportunity to thank the fellows and staff for the privilege of working with them.

The Second USA-USSR Symposium on Light Scattering in Con­ densed Matter was held in New York City 21-25 May 1979. The present volume is the proceedings of that conference, and contains all manuscripts received prior to 1 August 1979, representing scientific contributions presented. A few manus­ cripts were not received, but for completeness the corresponding abstract is printed. No record was kept of the discussion, so that some of the flavor of the meeting is missing. This is par­ ticularly unfortunate in the case of some topics which were in a stage of rapid development and where the papers presented sti­ mulated much discussion - such as the sessions on spatial dis­ persion and resonance inelastic (Brillouin or Raman) scattering in crystals, enhanced Raman scattering from molecules on metal surfaces, and the onset of turbulence in fluids. The background and history of the US-USSR Seminar-Symposia on light scattering was given in the preface to the proceedings of the First Symposium held in Moscow May 1975, published as "Theory of Light Scattering in Condensed Matter" ed. B. Bendow, J. L. Birman, V. M. Agranovich (Plenum Press, N. Y. 1976). Strong scientific interest on both sides in continuing this series resulted in a plan for the second symposium to be held in New York in 1977. For a variety of reasons it was necessary to cancel the planned 1977 event, almost at the last minute.

In the twenty years since their inception, modern dynamic light-scattering techniques have become increasingly sophisticated, and their applications have grown exceedingly diverse. Applications of the techniques to problems in physics, chemistry, biology, medicine, and fluid mechanics have prolifer­ ated. It is probably no longer possible for one or two authors to write a monograph to cover in depth the advances in scattering techniques and the main areas in which they have made a major impact. This volume, which we expect to be the first of aseries, presents reviews of selected specialized areas by renowned experts. It makes no attempt to be comprehensive; it emphasizes a body of related applications to polymeric, biological, and colloidal systems, and to critical phenomena. The well-known monographs on dynamic light scattering by Berne and Pecora and by Chu were published almost ten years ago. They provided comprehensive treatments of the general principles of dynamic light scat­ tering and gave introductions to a wide variety of applications, but natu­ rally they could not treat the new applications and advances in older ones that have arisen in the last decade. The new applications include studies of interacting particles in solution (Chapter 4); scaling approaches to the dynamics of polymers, including polymers in semidilute solution (Chapter 5); the use of both Fabry-Perot interferometry and photon correlation spectroscopy to study bulk polymers (Chapter 6); studies of micelIes and microemulsions (Chapter 8); studies of polymer gels (Chapter 9).

The Second International Conference on Phonon Scattering in Solids was held at the University of Nottingham from August 27th - 30th 1975. It was attended by 192 delegates from 24 countries who were accompanied by 43 members of their families. Eleven invited papers were read and 96 contributed papers; the contributed papers were in two parallel sessions. The Conference included the topics of the two International Conferences held in France in 1972, in Paris and at Ste Maxime. The Conference brought together workers concerned with many aspects of phonon scattering in solids and liquid helium. Some of the work reported were studies of the intrinsic properties of diel­ ectric materials such as the effects of anharmonicity, dispersion and anisotropy on phonon propagation and the conditions for the existence of zero sound and second sound modes. Work was also pres­ ented on various aspects of phonon interaction with free electrons in metals and semiconductors. A substantial part of the Conference was devoted to phonon spectroscopy - investigations of the energy levels of ions or neutral impurities by observing the resonant absorp­ tion or scattering of phonons. The materials being studied include paramagnetic and parae1ectric solids, amorphous systems in which the 'impurities' appear to be intrinsic, and semiconductors. Work was reported on the use of phonons to observe phase transitions; in some cases the cooperative phase also arises through strong spin­ phonon coupling. One of the intriguing unsolved problems discussed in detail at the Conference is the Kapitza conductance problem.

In the twenty years since their inception, modern dynamic light-scattering techniques have become increasingly sophisticated, and their applications have grown exceedingly diverse. Applications of the techniques to problems in physics, chemistry, biology, medicine, and fluid mechanics have prolifer­ ated. It is probably no longer possible for one or two authors to write a monograph to cover in depth the advances in scattering techniques and the main areas in which they have made a major impact. This volume, which we expect to be the first of aseries, presents reviews of selected specialized areas by renowned experts. It makes no attempt to be comprehensive; it emphasizes a body of related applications to polymeric, biological, and colloidal systems, and to critical phenomena. The well-known monographs on dynamic light scattering by Berne and Pecora and by Chu were published almost ten years ago. They provided comprehensive treatments of the general principles of dynamic light scat­ tering and gave introductions to a wide variety of applications, but natu­ rally they could not treat the new applications and advances in older ones that have arisen in the last decade. The new applications include studies of interacting particles in solution (Chapter 4); scaling approaches to the dynamics of polymers, including polymers in semidilute solution (Chapter 5); the use of both Fabry-Perot interferometry and photon correlation spectroscopy to study bulk polymers (Chapter 6); studies of micelIes and microemulsions (Chapter 8); studies of polymer gels (Chapter 9).

The first conference in this series, devoted principally to the interaction of positrons in gases, was held at York University, Toronto, in July 1981 immediately preceding the XII ICPEAC in Gatlinburg, and the proceedings were published in the Canadian Journal of Physics, volume 60 (1982). So successful was this meeting that the decision was taken to hold a second one around the time of XIII ICPEAC in Berlin in 1983. London was clearly a convenient location but, rather than the obvious choice of University College London in central London, the Organising Committee decided that the beautiful and peaceful surroundings of Royal Holloway College would provide a more pleasant and intimate atmosphere for a small meeting. Even a small conference requires substantial sums of money to pay the expenses of invited speakers and when considering possible sources of funds the Organising Committee recognised that the intended format of the meeting and the international composition of the participants made it appropriate to apply to the NATO Science Committee for support under the Advanced Research Workshop Programme. This was one of the few successful applications made this year, and so it was that the conference became the 'NATO Advanced Research Workshop on Positron Scattering in Gases'. The Workshop, with approximately sixty participants, started after lunch on 19 July, 1983 and finished at mid-day on 23 July.

The Third International Conference on Phonon Scattering in Condensed Matter was held at Brown University, Providence, Rhode Island from August 28-31, 1979. The previous conferences in this series were held at Nottingham in 1975, and in France at Paris and Ste Maxime in 1972. Until about 15 years ago phonon scattering was studied almost exclusively by measurements of thermal conductivity. This approach has the severe limitation that the result obtained for the phonon scattering rate is actually the average of the scattering for all of the phonons in the sample. Thus, no distinction can be made between phonons of different polarization, direction of propagation, or energy. During the 1960's several significant developments occurred. The most important of these was the application by Von Gutfeld and Nethercot of the "heat-pulse" method, previously used only in liquid helium, to the investigation of phonons in crystals. This approach makes possible the study of the propagation and scat­ tering of phonons of known polarization and propagation direction. The early heat-pulse experiments used phonon generators which pro­ duced phonons having a broad distribution of energies and, in addi­ tion, the phonon detectors were sensitive to phonons of all energies.

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The development of the laser and the subsequent expansion of research in the field of molecular scattering of light tend to ob­ scure the vast literature that accumulated on this subject during th'e last fifty years. The appearance of the Russian edition of Dr. Fabelinskii's book, just as this laser-induced explosion in light-scattering research took place, served to put the earlier work in its proper perspective. However, the book lacked any appreci­ able coverage of the laser work. Fortunately, Dr. Fabelinskii has taken advantage of the time between the appearance of the Russian text and its translation into English to expand greatly the sections devoted to areas in which laser research has made such interesting and vital additions, At the same time, revisions and insertions have been made throughout the text, so that the English translation is virtually a second edition of this useful work. The translator wishes to express his thanks here to Dr. Fa­ belinskii for making the revisions, corrections, and additions availahle for the English language work. He is also grateful to his graduate student, Mark B. Moffett, who prepared the index and who, during the course of its preparation, made a large number of crit­ ical comments and corrections that have enhanced the quality of the final product.

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Solid state physicists have long appreciated the usefulness of thermal neutron scattering in the inves­ tigation of condensed matter. This technique was first made possible by the advent of the nuclear reac­ tor and has, since then, undergone many refinements. The developments in this field of research have, we felt, necessitated the making of a comprehensive compilation of the published thermal neutron papers. The large number of titles collected in this book, as well as their diversity and their yearly distribution, reflects the continued contribution of the neutron probe to our understanding of physical systems. This bibliography is an updated and improved version of the one first published by us in March of 1973 under a similar title. Many of the omissions and inconsistencies of the first edition, such as occurred, for example, in the initialing of authors' names, have been corrected. The literature search has been carried back to 1932, the year when the existence of the neutron was experimentally confirmed. Several additional journals have also been searched and brought up to date together with those listed in our first publication. The number of entries is now 8543, an increase of 65 per cent relative to the first edition.

The origins of multiple scattering theory (MST) can be traced back to Lord Rayleigh's publication of a paper treating the electrical resistivity of an ar­ ray of spheres, which appeared more than a century ago. At its most basic, MST provides a technique for solving a linear partial differential equa­ tion defined over a region of space by dividing space into nonoverlapping subregions, solving the differential equation for each of these subregions separately and then assembling these partial solutions into a global phys­ ical solution that is smooth and continuous over the entire region. This approach has given rise to a large and growing list of applications both in classical and quantum physics. Presently, the method is being applied to the study of membranes and colloids, to acoustics, to electromagnetics, and to the solution of the quantum-mechanical wave equation. It is with this latter application, in particular, with the solution of the SchrOdinger and the Dirac equations, that this book is primarily concerned. We will also demonstrate that it provides a convenient technique for solving the Poisson equation in solid materials. These differential equations are important in modern calculations of the electronic structure of solids. The application of MST to calculate the electronic structure of solid ma­ terials, which originated with Korringa's famous paper of 1947, provided an efficient technique for solving the one-electron Schrodinger equation.

The origins of multiple scattering theory (MST) can be traced back to Lord Rayleigh's publication of a paper treating the electrical resistivity of an ar­ ray of spheres, which appeared more than a century ago. At its most basic, MST provides a technique for solving a linear partial differential equa­ tion defined over a region of space by dividing space into nonoverlapping subregions, solving the differential equation for each of these subregions separately and then assembling these partial solutions into a global phys­ ical solution that is smooth and continuous over the entire region. This approach has given rise to a large and growing list of applications both in classical and quantum physics. Presently, the method is being applied to the study of membranes and colloids, to acoustics, to electromagnetics, and to the solution of the quantum-mechanical wave equation. It is with this latter application, in particular, with the solution of the SchrOdinger and the Dirac equations, that this book is primarily concerned. We will also demonstrate that it provides a convenient technique for solving the Poisson equation in solid materials. These differential equations are important in modern calculations of the electronic structure of solids. The application of MST to calculate the electronic structure of solid ma­ terials, which originated with Korringa's famous paper of 1947, provided an efficient technique for solving the one-electron Schrodinger equation.

During the last 20 years interest in high-resolution x-ray diffractometry and reflectivity has grown as a result of the development of the semiconductor industry and the increasing interest in material research of thin layers of magnetic, organic, and other materials. For example, optoelectronics requires a subsequent epitaxy of thin layers of different semiconductor materials. Here, the individuallayer thicknesses are scaled down to a few atomic layers in order to exploit quantum effects. For reasons of electronic and optical confinement, these thin layers are embedded within much thicker cladding layers or stacks of multilayers of slightly different chemical composition. It is evident that the interface quality of those quantum weHs is quite important for the function of devices. Thin metallic layers often show magnetic properties which do not ap­ pear for thick layers or in bulk material. The investigation of the mutual interaction of magnetic and non-magnetic layers leads to the discovery of colossal magnetoresistance, for example. This property is strongly related to the thickness and interface roughness of covered layers.

During the last 20 years interest in high-resolution x-ray diffractometry and reflectivity has grown as a result of the development of the semiconductor industry and the increasing interest in material research of thin layers of magnetic, organic, and other materials. For example, optoelectronics requires a subsequent epitaxy of thin layers of different semiconductor materials. Here, the individuallayer thicknesses are scaled down to a few atomic layers in order to exploit quantum effects. For reasons of electronic and optical confinement, these thin layers are embedded within much thicker cladding layers or stacks of multilayers of slightly different chemical composition. It is evident that the interface quality of those quantum weHs is quite important for the function of devices. Thin metallic layers often show magnetic properties which do not ap­ pear for thick layers or in bulk material. The investigation of the mutual interaction of magnetic and non-magnetic layers leads to the discovery of colossal magnetoresistance, for example. This property is strongly related to the thickness and interface roughness of covered layers.

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Applications of X-ray scattering to soft matter have advanced considerably within recent years, both conceptually and technically – mature high-power X-ray sources, synchrotrons and rotating anodes, as well as high-speed detectors have become readily available. High-quality time-resolved experiments on polymer structure now can be performed with ease, a major advancement due to the genuine power of the scattering method. This manual summarizes the analytical power of modern X-ray scattering in the field of soft matter. Description of simple tools that can elucidate the mechanisms of structure evolution in the studied materials is followed by a step-by-step guide and breakdown of the more advanced methods. Data analysis based on clear, unequivocal results is rendered simple and straightforward – with a stress on the carefully planning of the experiments and adequate recording of all required data. To this end, this book serves as a useful ready-reference guide.