The aim of this book is to provide a single reference source for the wealth of geometrical formulae and relationships that have proven useful in the descrip tion of atomic nuclei and nuclear processes. While many of the sections may be useful to students and instructors it is not a text book but rather a reference book for experimentalists and theoreticians working in this field. In addition the authors have avoided critical assessment of the material presented except, of course, by variations in emphasis. The whole field of macroscopic (or Liquid Drop Model) nuclear physics has its origins in such early works as [Weizsacker 35] and [Bohr 39]. It continued to grow because of its success in explaining collective nuclear excitations [Bohr 52] and fission (see the series of papers culminating in [Cohen 62]). These develop ments correspond to the first maximum in the histogram below, showing the distribution by year of the articles cited in our Bibliography. After the Liquid Drop Model had been worked out in some detail the development of the Struti nsky approach [Strutinsky 68] (which associates single particle contributions to the binding energy with the shape of the nucleus) gave new life to the field. The growth of interest in heavy-ion reaction studies has also contributed.

The physics of highly charged ions has become an essential ingredient of many modern research fields, such as x-ray astronomy and astrophysics, con trolled thermonuclear fusion, heavy ion nuclear physics, charged particle ac celerator physics, beam-foil spectroscopy, creation of xuv and x-ray lasers, etc. A broad spectrum of phenomena in high-temperature laboratory and astrophysical plasmas, as well as many aspects of their global physical state and behaviour, are directly influenced, and often fully determined, by the structure and collision properties of multiply charged ions. The growth of in terest in the physics of highly charged ions, experienced especially in the last ten to fifteen years, has stimulated a dramatic increase in research activity in this field and resulted in numerous significant achievements of both fun damental and practical importance. This book is devoted to the basic aspects of the physics of highly charged ions. Its principal aim is to provide a basis for understanding the structure and spectra of these ions, as well as their interactions with other atomic par ticles (electrons, ions, atoms and molecules). Particular attention is paid to the presentation of theoretical methods for the description of different radi ative and collision phenomena involving multiply charged ions. The exper imental material is included only to illustrate the validity of theoretical methods or to demonstrate those physical phenomena for which adequate theoretical descriptions are still absent. The general principles of atomic spectroscopy are included to the extent to which they are pertinent to the subject matter."

This volume is a collection of papers presented at the Sixth International Sympo sium "Ultrafast Phenomena in Spectroscopy" (UPS '89) held in Neubrandenburg, GDR, August 23-26, 1989. This symposium brought together about 220 scien tists from 18 European countries and from overseas. The participants are active in a wide range of scientific disciplines, including physics, chemistry, biology, opto-electronics and scientific instrumentation. They share a common interest in discussing problems and perspectives of ultrafast processes at picosecond and femtosecond time scales. UPS '89 was held eleven years after the first conference of this series, which took place in Tallinn, Estonia. During this period remarkable progress has been made in this field of science and technology. Now the shortest pulses have a duration of about 5 fs, which corresponds to only about three wave periods of visible light. Other important advances concern new devices for the amplification of femtosecond light pulses to very high power. The symposium UPS '89 demonstrated this progress in generating powerful ultrashort pulses and in applying them to a wide field of science and technol ogy. This volume reflects this development in an impressive way. With such high-performance laser light sources, ultrafast phenomena in physics, chemistry, and biology as well as in sophisticated devices for opto-electronics and micro electronics have been studied extensively. This opens the way into the new field of ultrafast technology.

This book the second volume in the "Springer Series in Biophysics" col lects together contributions to the conference on "Biophysics and Syn chrotron Radiation" held in July 86 at Frascati. This meeting addressed the advances on the structure of biological molecules obtained by using synchrotron radiation. In fact it was most timely to review the results of the research in biophysics which is rapidly developing at synchrotron radiation facilities. Moreover, there was interest to discuss the new perspectives opened up by the future high brilliance synchrotron radia tion sources. With the use of synchrotron radiation, x-ray spectroscopy of biological molecules is firmly established in the techniques of EXAFS and XANES. Contributions to the detailed knowledge of local structure of active sites of metalloproteins by this approach are presented in this volume, together with a number of studies of -the interaction of metal ions with other important biological macromolecular systems. Structural determination of very large biological systems at high reso lution, including a protein and its substrate, are reported. The experi mental advances in protein crystallography presented here reduce the time for solving protein structures, thus satisfying a major require ment of the rapidly-expanding field of protein engineering."

Clusters of Atoms and Molecules I is devoted to theoretical concepts and experimental techniques important in the rapidly expanding field of cluster science. Cluster properties are dicussed for clusters composed of alkali metals, semiconductors, transition metals, carbon, oxides and halides of alkali metals, rare gases, and neutral molecules. The book contains several well-integrated treatments, all prepared by experts. Each contribution starts out as simple as possible and ends with the latest results, so that the book can serve as a text for a course, an introduction into the field, or as a reference book for the expert.

"New Trends in Nuclear Collective Dynamics" emphasizes research toward understanding collective and statistical aspects of nuclear dynamics. Well-known lecturers from centers of nuclear research present reviews of recent developments. The topics covered are: -order and chaos in finite quantum systems -dissipation in heavy-ion collisions -collective motionsin warm nuclei -time-dependent mean-field theory with collision terms -nuclear fission and multi-dimensional tunneling -large-scale collective motion

This monograph covers a broad spectrum of topics in the very broad field of gas phase molecular collision dynamics. The Introduction previews each of the four fol lowing topics and attempts to sew them together with a common thread. In addition, a brief review of quantum reactive scattering is given there along with some gen eral remarks which highlight the difficulties in doing quantum reactive scatter ing calculations. The chapters are all written by theoreticians who are, of course, experts in the subjects they have written about. Three chapters, the ones by Secrest, Schatz, and the one by Schinke and Bowman deal with non-reactive atom-molecule scattering. Col lectively, they describe nearly the full breadth of scattering methods in use to day, from fully quantum mechanical to semiclassical and quasiclassical. The chapter by Baer is the only one dealing with quantum reactive scattering with the additional complexity of the coupling of two potential energy surfaces. The one simplifying feature of the treatment is that the reaction is constrained to be collinear. Overall, this monograph is mainly a review of the recent advances in the field of molecular collision dynamics, with, however, a considerable amount of new material. It is hoped that workers and students in the field will find reading the mono graph both enlightening and enjoyable."

This volume comprises the recent development in the theoretical and experimental progress dedicated to trapped charged particles and related fundamental physics and applications. The content has been divided topic-wise covering basic questions of Fundamental Physics, Quantum and QED Effects, Plasmas and Collective Behavior and Anti-Hydrogen. More technical issues include Storage Ring Physics, Precision Spectroscopy and Frequency Standards, Highly Charged Ions in Traps, Traps for Radioactive Isotopes and New Techniques and Facilities. An applied aspect of ion trapping is discussed in section devoted to Applications of Particle Trapping including Quantum Information, Chemistry and Trace Analysis. Each topic has a more general introduction, but also more detailed contributions are included. A selection of contributions exemplifies the interdisciplinary nature of the research on trapped charged particles worldwide.
Reprinted from Hyperfine Interactions (HYPE) Volumes XXX

Lectures on Non-linear Plasma Kinetics is an introduction to modern non-linear plasma physics showing how many of the techniques of modern non-linear physics find applications in plasma physics and how, in turn, the results of this research find applications in astrophysics. Emphasis is given to explaining the physics of nonlinear processes and the radical change of cross-sections by collective effects. The author discusses new nonlinear phenomena involving the excitation of coherent nonlinear structures and the dynamics of their random motions in relation to new self-organization processes. He also gives a detailed description of applications of the general theory to various research fields, including the interaction of powerful radiation with matter, controlled thermonuclear research, etc.

In the 12 years that have passed since the publication of Riintgenspektren und chemische Bindung, the original German work on which. this text is based, several aspects of high-resolution X-ray spectroscopy have devel oped rapidly. After accepting the suggestion of Dr. R.D. Deslattes that a translation should be prepared, we thoroughly revised the book in order to include these recent developments in theory, equipment and applications. The latest reSearch results and publications that had appeared by 1987/1988 have been taken into account in the analysis. However, as the general treatment of the German edition is still valid today, the organization of the contents did -not have to be modified. The present status of the field is adequately described just by the addition of supplementary material in the English edition. We have merely rearranged what was previously Chapter 4 into tabular form and placed it as an appendix. This presentation produces greater clarity and increases the ease with which the information can be referred to. We thank Dr. E. Kallne for undertaking the translation. We are grate ful to Dr. R.D. Deslattes and Dr. H. Lotsch for their conscientious and critical checking of the translation. Chapters 3 and 6 were updated by our colleague Dr. H. Sommer, to whom special thanks are due. It is our hope that this transiation and revision will make our text available to a larger section of the scientific community."

Microcrystals large enough to be seen in an electron microscope have long been objects of intense scientific and technological interest. Recently, it has become possible to study properties of even smaller units of matter, clusters, thus allowing the last gap betweeen molecules and crystals to be bridged. This book presents the experimental and theoretical techniques needed to study this new state of condensed matter. The material is presented so as to be understandable to an audience with varied backgrounds and interests. At the beginning of each part basic concepts are quickly reviewed for graduate students and for experts who wish to broaden their interest in theory and experiments. The concepts are then applied to current problems of general interest. The basic subjects covered by the book are cluster sources, the evolution of electronic properties of condensed matter, the microscopic view of crystal growth, the chemical reactivity of clusters, cluster stability and fragmentation.

This NATO Advanced Study Institute was concerned with modern ab initio methods for the determination of the electronic structure of molecules. Recent years have seen considerable progress in computer technology and computer science and these developments have had a very significant influence on computational molecular physics. Progress in computer technology has led to increasingly larger and faster systems as well as powerful minicomputers. Simultaneous research in computer science has explored new methods for the optimal use of these resources. To a large extent develop ments in computer technology, computer science and computational molecular physics have been mutually dependent. The availability of new computational resources, particularly minicomputers and, more recently, vector processors, has stimulat'ed a great deal of research in molecular physics. Well established techniques have been reformulated to make more efficient use of the new computer technology and algorithms which were previously computationally intractable have now been successfully implemented. This research has given a new and exciting insight into molecular structure and molecular processes by enabling smaller systems to be studied in greater detail and larger systems to be studied for the first time."

This book has grown out of several courses oflectures held at the University of Mainz in the years 1978 to 1981, at the Ecole Poly technique Federal, Lausanne, and at the University of Fribourg, Switzerland. The last two courses were held in the framework of the "3e Cycle" lectures in June 1981. According to this genesis, the emphasis of the book lies on a unified and concise approach to introducing polymer spectroscopy rather than on completeness which, by the way, could hardly be achieved in a single volume. In contrast to other books on this subject, equal weight is given to electronic spectroscopy, vibrational spectroscopy and spin resonance techniques. The electronic properties of polymers have been increasingly investigated in the last ten years; until recently, however, these studies and the spectroscopic methods applied have not generally been considered as part of polymer spectroscopy. The increasing use of electronic spectroscopy by polymer researchers, on the other hand, shows that this type of spectroscopy provides efficient tools for gaining insight into the properties of polymers which cannot be obtained by any other means.

This volume contains the written versions of invited lectures and abstracts of seminars presented at the 26th "Universitatswochen fiir Kernphysik" (Uni versity nuclear physics weeks) in Schladming, Austria, in February 1987. Again the generous support of our sponsors, the Austrian Ministry of Sci ence and Research, the Styrian government and others, made it possible to invite expert lecturers. The meeting was organized in honour of Prof. Dr. th Walter Thirring in connection with his 60 birthday. In choosing the topics for the lectures we have tried to cover a good many of the areas in which mathematical physics has made significant progress in recent years. Both classical and quantum mechanical problems are considered as well as prob lems in statistical physics and quantum field theory. The common feature lies in the methods of mathematical physics that are used to understand the underlying structure and to proceed towards a rigorous solution. Thanks to the efforts of the speakers this spirit was maintained in all lectures. Due to space limitations only shortened versions of the many seminars presented in Schladming could be included. After the school the lecture notes were revised by the authors, whom we thank for their efforts, which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for the careful typing of the notes, and to Miss Koubek and Mr. Preitler for their help in proofreading."

Atoms in strong radiation fields are interesting objects for study, and the research field that concerns itself with this study is a comparatively young one. For a long period after the ~scovery of the photoelectric effect. it was not possible to generate electro magnetic fields that did more than perturb the atom only slightly, and (first-or~er) perturbation theory could perfectly explain what was going on at those low intensities. The development of the pulsed laser bas changed this state of affairs in a rather dramatic way, and fields can be applied that really have a large, or even dominant influence on atomic structure. In the latter case, w~ speak of super-intense fields. Since the interaction between atoms and electromagnetic waves is characterized by many parameters other than the light intensity, such as frequency, iQnization potential, orbit time, etc., it is actually quite difficult to define what is exactly meant by the term 'super-intense'. Obviously the term does not have an absolute meaning, and intensity should always be viewed in relation to other properties of the system. An atom in a radiation field can thus best be described in terms of various ratios of the quantities involved. The nature of the system sometimes drastically changes if the value of one of these parameters exceeds a certain critical value, and the new regime could be called super-intense with respect to that parameter.

The last twenty years have witnessed an enormous development of nuclear physics. A large number of data have accumulated and many experimental facts are known. As the experimental techniques have achieved greater and greater perfection, the theoretical analysis and interpretation of these data have become correspondingly more accurate and detailed. The development of nuclear physics has depended on the development of physics as a whole. While there were interesting speculations about nuclear constitution as early as 1922, it was impossible to make any quantitative theory of even the simplest nucleus until the discovery of quantum mechanics on the one hand, and the development of experimental methods sufficiently sensitive to detect the presence of a neutral particle (the neutron) on the other hand. The further development of our understanding of the nucleus has depended, and still depends, on the development of ever more powerful experimental techniques for measuring nuclear properties and more powerful theoretical techniques for correlating these properties. Practically every "simple," "reasonable," and "plausible" assumption made in theoretical nuclear physics has turned out to be in need of refinement; and the numerous attempts to derive nuclear forces and the properties of nuclei from a more" fundamental" approach than the analysis of the data have proved unsuccessful so far. Nuclear physics is by no means a finished edifice.

Nuclear physics is presently experiencing a thrust towards fundamental phy sics questions. Low-energy experiments help in testing beyond today's stan dard models of particle physics. The search for finite neutrino masses and neutrino oscillations, for proton decay, rare and forbidden muon and pion de cays, for an electric dipole moment of the neutron denote some of the efforts to test today's theories of grand unification (GUTs, SUSYs, Superstrings, ... ) complementary to the search for new particles and symmetries in high-energy experiments. The close connections between the laws of microphysics, astrophysics and cosmology open further perspectives. This concerns, to mention some of them, properties of exotic nuclei and nuclear matter, and star evolution; the neutrino and the dark matter in the universe; relations between grand unification and evolution of the early universe. The International Symposium on Weak and Electromagnetic Interactions in Nuclei (W.E.LN. 1986)' held in Heidelberg 1-5 July 1986, in conjunction with the 600th anniversary of the University of Heidelberg, brought together experts in the fields of nuclear and particle physics, astrophysics and cosmol ogy."

Nuclear magnetic resonance spectroscopy, which has evolved only within the last 20 years, has become one of the very important tools in chemistry and physics. The literature on its theory and application has grown immensely and a comprehensive and adequate treatment of all branches by one author, or even by several, becomes increasingly difficult. This series is planned to present articles written by experts working in various fields of nuclear magnetic resonance spectroscopy, and will contain review articles as well as progress reports and original work. Its main aim, however, is to fill a gap, existing in literature, by publishing articles written by specialists, which take the reader from the introductory stage to the latest development in the field. The editors are grateful to the authors for the time and effort spent in writing the articles, and for their invaluable cooperation. The Editors Contents o. Kanert and M. Mehring Static Quadrupole Effects in Disordered Cubic Solids 1 F. Noack Nuclear Magnetic Relaxation Spectroscopy 83 Static Quadrupole Effects in Disordered Cubic Solids O. KANERT and M. MEHRING Physikalisches Institut der Universitat MUnster, BRD Contents I. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 II. Fundamentals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. Zero Field Spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2. High Field Spectra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 3. Transformation of the Electric Field Gradient Tensor . . . . . . . . . . 7 III. The Influence of the Quadrupole Perturbation on the NMR Signal . 8 1. General Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 a) The Free Induction Decay . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 b) The Wide-Line Signal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 c) The Spin Echo Signal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .: . .

Atomic and molecular processes play an important role in laboratory and astrophysical plasmas for a wide range of conditions, and determine, in part, their electrical, transport, thermal, and radiation properties. The study of these and other plasma properties requires a knowledge of the cross sections, reaction rate coefficients, and inelastic energy transfers for a variety of collisional reactions. In this review, we provide quantitative information about the most important collision processes occurring in hy drogen, helium, and hydrogen-helium plasmas in the temperature range from 0. 1 eV to 20 keY. The material presented here is based on published atomic and molecular collision data, theoretical calculations, and appro priate extrapolation and interpolation procedures. This review gives the properties of each reaction, graphs of the cross sections and reaction rate coeffiCients, and the coefficients of analytical fits for these quantities. We present this information in a form that will enable researchers who are not experts in atomic physics to use the data easily. The authors thank their colleagues at the Princeton Plasma Physics Laboratory and in the atomic physics community who have made many useful suggestions for the selection and presentation o. f t. he material. We gratefully acknowledge the excellent technical assistance of Elizabeth Carey for the typing, and Bernie Giehl for the drafting. This work was supported in part by the U. S. Department of Energy Contract No. DE-AC02-76-CHO-3073. Princeton, USA R. K. Janev W. D. Langer September, 1987 K. Evans, Jr., D. E."

This book is the proceedings of a workshop on problems at the interface between elementary particle and nuclear physics. It deals with experimental and theoretical developments in the investigation of hadrons and nuclei and in the study of their interactions at low and high energies, including nonperturbative quantum chromodynamics, quark confinement, hadron spectroscopy, hadronic interactions, strange particles, hypernuclei, structure functions of nucleons and nuclei, antiproton annihilation on nucleons and nuclei, quark-gluon plasmas and heavy-ion collisions. Plans for new accelerators are evaluated and some related topics in astrophysics, such as supernovae and neutrinos, are discussed.

Although the debate about the true nature of the quantum behavior of atomic systems has never ceased, there are two periods during which it has been particularly intense: the years that saw the founding of quantum mechanics and, increasingly, these modern times. In 1954 Max Born, on accepting the Nobel Prize for his 'fundamental researches in quantum mechanics', recalled the depth of the disagreements that divided celebrated quantum theorists of those days into two camps: . . . when I say that physicists had accepted the way of thinking developed by us at that time, r am not quite correct: there are a few most noteworthy exceptions - namely, among those very workers who have contributed most to the building up of quantum theory. Planck himself belonged to the sceptics until his death. Einstein, de Broglie, and Schriidinger have not ceased to emphasize the unsatisfactory features of quantum mechanics . . . . This dramatic disagreement centered around some of the most funda mental questions in all of science: Do atomic objects exist il1dependently of human observations and, if so, is it possible for man to understand correctly their behavior? By and large, it can be said that the Copenhagen and Gottingen schools - led by Bohr, Heisenberg, and Born, in particula- gave more or less openly pessimistic answers to these questions.

During the past decade we have witnessed not only an increase in knowledge of the "traditional" biophysical problems, but also an understanding of the molecular basis of various biological phenomena. The principles and methods of biophysics now provide an underpin ning of all of the basic biosciences and are the rational language for discussion between scientists of different disciplines. The International School on Biophysics Supramolecular Structure and Function held in Dubrovnik in September 1984 had as its goal to provide comprehensive discussions on a large number of subjects both for younger scientists at the doctoral or postdoctoral level interested in the molecular nature of fundamental biological entities, and for experienced scientists wishing to gain a broader insight into molecular structures and functions. The topics discussed at the School were inter- and intramolecular interactions in biological systems, and the structure, organization, and function of biological macromolecules and supramolecular assemblies. A number of topics were centered around either a biological problem or a physical technique, sometimes giving an unbalanced view of the field under discussion. Some of the topics required previous knowledge of basic biophysical principles, which were then applied to gain greater insight into the molecular functions of diverse supramolecular systems. Although not all the lectures could be prepared for publication in this volume, I hope that it contains valuable up-to-date information on various aspects of the molecular basis of life."

In recent years the significant progress in satellite-based observations of plasma states and associated electromagnetic phenomena in space has resulted in the accumulation of much evidence of various plasma instabilities. Today plasma instabilities are believed to be responsible for electromagnetic radiation as well as for many of the macroscopic dynamics of plasmas in space. Most students who begin to study plasma physics are intrigued by the unstable nature of plasmas compared with other states of matter; however, they often become frustrated because there are so many in stabilities. Such frustration explains in part why there is no textbook which treats this subject exclusively. A description of plasma instabilities in a systematic way is nontrivial and takes a pertinacious effort. This book is an attempt to provide a basic introduction on the subject and covers most of the important instabilities. However, the author must apologize for any omission of references to contributions of individuals who deserve more credit. The reader is assumed to have a general knowledge of plasma physics obtainable in an undergraduate course. The book is intended to be used as a reference text on the subject of plasma instabilities at the under graduate level as well as for a text in a special course in graduate school. Because the book is part of a series on physics and chemistry in space, emphasis is placed on plasma instabilities relevant in space plasmas."

Nuclear magnetic resonance spectroscopy, which has evolved only within the last 20 years, has become one of the very important tools in chemistry and physics. The literature on its theory and application has grown immensely and a comprehensive and adequate treatment of all branches by one author, or even by several, becomes increasingly difficult. This series is planned to present articles written by experts working in various fields of nuclear magnetic resonance spectroscopy, and will contain review articles as well as progress reports and original work. Its main aim, however, is to fill a gap, existing in literature, by publishing articles written by specialists, which take the reader from the introductory stage to the latest development in the field. The editors are grateful to the authors for the time and effort spent in writing the articles, and for their invaluable cooperation. The Editors Contents c. W. Hilbers and C. MacLean NMR of Molecules Oriented in Electric Fields.

This volume contains papers which have been presented at the International Sym posium on Metal Clusters in Heidelberg from April 7-11, 1986. Clusters, and in particular metal clusters, have been the topic of fa t growing scientific interest. Indeed, clusters constitute a field of interdisciplinary nature where both physical and chemical questions have to be addressed. Clusters are offundamental importance for the deeper understanding of the transition from atoms via molecules and larger aggregates of particles to the properties of solid materials. Moreover, metal clusters and their character istics are of vital significance for such applied topics as catalysis or photography. Experimentally, the field exhibited rapid progress in the last years. Different sources for clusters have been developed. Intense beams made possible the investigation of free neutral clusters and cluster ions as well. Even though a number of issues concerning metal clusters is still discussed controversially, the present volume tries to give an overview of current work in this field and to illustrate the large variety of experiments as well as the advances made possible by modern theoretical methods. Looking at the many interesting questions still to be addressed it is fair to propose a rapid further growth of this field."