Nuclear Ins~men~ and Methods in Physics ResearchB 94 (1994) 353-358 Beam tnteraetions with Metertats& Atoms Book review This section of NIM B will bring reviews of books relevant for the regular readership of the journal. Books for review should be sent to one of the Editors. ~~~E~~ PROCESSES IN SPUTTERING OF ATOMS AND MO~CUL~ (SPUT 92) edited by P. Sigmund. A Symposium on the Occasion of the 250th Anniversary of the Royal Danish Academy of Sciences and Letters. Invited Reviews K. Dan. Vidensk, Selsk. Mat. Fys. Med. 43 (Munksgaard, Copenhagen, 1993) pp. 675, hardcover, DKK 840, excl. VAT (approx. US$ 130). ISBN 87-7304-249-S. Level: graduate, researcher Reviewer: R.A. Baragiola, Charlottesville This book is a collection of chapters with review articles written by several authors who participated in a symposium on sputtering which took place in Copenhagen in the summer of 1992. The chapters were written after the conference and benefited from multiple refereeing and interactions with the ediior. The primary aim was to present recent (last _ 10 years) developments in the field of sputtering, written by many of the top researchers in the field. The book may be considered as a supplement to the series by Behrisch et al. [l], the essential reference in the field of sputtering. A number of contributed papers from the same symposium have been published in a Topical Issue of MM B (82 (2) (199311, after a similar editorial process, where a number of new results have been reported with full technical details. There were no length limits and the papers were submitted up till three months after the symposium, Hence those are not conference proceedings in the usual sense. Many of the fundamental concepts for sputtering have been known for decades now. Basic mechanisms are divided into elastic sputtering, where the energy and momentum required for particle ejection is provided by (mainly) elastic collisions, and electronic sputtering, where energy is primarily transferred to the electronic system and then later coupled to atomic motion. Over the years, there has been a marked, but not complete, segregation of researchers along these two lines, which has been reflected in international conferences. Fortunately, the tendency is now to bridge this gap of different points of view, as exemplified by this book. Another trend is the increasing use of steadily improving imputations tools which have been applied successfully to inspect sputtering mechanisms which are continuously being proposed. Most major mechanisms are well discussed throughout the book, with the exception of the so-called “thermal-spike”, where additional ejection is thought to occur by thermal processes initiated by dense collision cascades. Although discussed in passing in many chapters, there is no detailed critical evaluation of the limits of the use of effective temperatures to predict properties based on the~odynamic models. This heavy volume gives a good cross section of the current state of the art in both experimental and theoretical treatments, ranging from traditional topics to modem developments, both of fundamental physics and applications. Most current topics are included, with the exception of ~conda~ ion emission which, however, is pe~~ic~y covered in books and conference proceedings [2,3]. The collection of specialized chapters on different topics has more coherence than usual, thanks to a large involvement by the editor. However, this is far from being a tutorial textbook. It will most likely become an essential reference to practically anyone working in the fields of particle interactions with solids. Given the quality of the material presented, it is regrettable that there are several sho~~mings in the publishing aspects. For instance, there are no useful page headers, so it is very hard to locate where the references start for a given chapter, or to locate an articie by just flipping pages. Figures are many times shown several pages before they are first mentioned in the text and, in other places, shown several pages after they are introduced. A major shortcoming is the absence of a topic index, which will limit the usefulness of this volume. The book starts with a clear introduction by Sigmund, meant to guide non experts. He presents the main experimental observables and representative models. Practitioners of molecular dynamics (MD) simulations will find the model for the low-yield regime in sputtering to be too simplified, since they are accustomed to looking at all Old-583X/94/$07.~ 6 1994 Elsevier Science B.V. All rights reserved SSZIZ0168-583X(94)00291-6 354 RA. 3~r~giola/~uci. Ins&. and Meih. in Phys. Res. B 94 (1994) 353-358 moving atoms, including the vast majority which cannot escape from the solid. This distinction of ways to see the collision cascade is relevant since it has been central to many debates among theorists. The first chapters of the book deal with computer simulations. Their development has progressed to the point (or even beyond) where one should start including other aspects of reality like the presence of vacancies and interstitials, disl~tions, steps at smfaces, etc. Theoretical samples are usually too perfect. Robimm’s excellent chapter updates a popular review by Andersen [It] and includes the newer, more elaborate many body potentials. The approach is traditional, emphasizing interatomic potentials. Coverage is very good, but the reader will be left wondering why insulators are not treated. The main difficulty with theory, at present, seems to be the treatment of the surface and inelastic energy loss processes involving the projectile and the recoiling target atoms. For dilute cascades, a standard approximation in non-MD models is that the surface barrier is planar. This barrier introduces a peak in the energy distribution of sputtered atoms which, in the often used Thompson model, is located at half the average surface binding energy appropriate for sputte~g. For dense cascades, several neighing atoms may be sputtered at the same time, so the planar barrier should not be a good a~roximation. Nevertheless, Thompson’s formula continues to be used to make unwarranted inferences about “thermal” components of sputtered flux in attempts to prove the existence of “thermal” spikes or to derive an apparent lower effective binding energy for the sputtering of condensed molecular solids. Probably a good test of models would be provided by testing angular and energy distributions of atoms sputtered at grazing angles to the surface. This condition will maximize differences between planar and spherical barrier models and the effect of surface defects. Recent developments in preparation of atomically flat surfaces should allow meaningful experiments to be done at low ion fluence, before the development of any significant bombardment induced topography. Robinson reminds us that the old mystery of the development of topography is still not understood. The discussion of the inelastic effects is somewhat incomplete since it does not consider what is known from the field of single particle, gas-phase collisions. Models for soiids are very simplified; they often use electron gas theories and do not take into account orbital structure, level matching, etc. Some models try to inchtde non local effects but only in a heuristic or empirical way, mainly assuming that energy losses in atoms can be taken to depend on the local electron density. The reading of this chapter could be complemented with more specific discussions on inelastic collisions in solids [S] and with papers dealing with inelastic effects in ion scattering spectroscopy [3]. Robinson stresses that electron-phonon coupling in the collision cascade is currently one of the most difficult and obscure problems in particle-solid interactions. Niemine~‘s chapter is a good description of MD, though somewhat idealized. For instance, even though many aspects of the sputtering process can be incorporated in an MD code, one cannot expect to approach an exact description. Readers may disagree with the assertion that one can evaluate exactly the screening function in the high energy region, since in reality, practically all calctdations are for ground state interactions. The neglect of excited states, which may be ~nimpo~ant in traditional solid state applications, may not be warranted in the case of collisions involving energetic recoils. Commercially supported quantum chemistry programs are not meant to describe close collisions, where a large number of excited configurations are needed to describe approximately the transient quasimolecule. The readers should be prepared to soften some strong statements in an otherwise well written review. For instance, I would argue that it cannot be shown “rigorously” that the stopping power of a slow ion traversing an electron-gas-like metal is proportional to ion velocity. Also, I find too strong the assertion that “electronic friction can (and should) be implemented by simply adding a vel~ity-de~ndent term to the equations of motion”. The chapter by Ur~a~~~~and Hufer discusses the still myste~o~ topic of sputtering of moiecules and clusters, for the case of electrically conducting solids. The emission of clusters is one of the research frontiers in sputtering. It provides a strong challenge to computer simulations, since cluster emission is a rare event and since the description of the process requires an accurate inclusion of binding forces and different ways of distribut~g internal energy in the cluster. The authors discuss the differences in the abundance distribution of ejected neutral vs. ionized clusters. For charged clusters, the ~temation of this distribution with cluster size, is connected with that of the behavior of the ionization energy. However, correlation does not imply connection in the sense of a cause-effect relationship. The idea that clusters are formed as neutrals and then ionize when leaving the surface is at odds with current understanding of other aspects of charge transfer in ion-surface interactions. The traditional view that cluster emission is related to the statistics of the sputtering event is reviewed. The authors state that statistical fluctuations must have a major effect in cluster abundance and that one might indeed expect that the cluster size distribution reflects the fluctuations of the individual collision cascades. They even suggest that measurements of the sputte~ng yields of monomers and dimers at low energies may give direct ~fo~ation of the statistics of the sputtering yield. This idea, however, disregards the effect of the finite size of binding forces. One is not dealing with the simultaneous emission of it individual atoms but with a cluster of n atoms. The emission of a large cluster not only requires the fluctuation in the sense of a large energy deposited near R.A. Rarag~Ia/~~ei. In&r. and Meth, in Phys. Res. B 94 (2994) 353-358 the surface, but also that the energy is distributed in such a way that the atoms are bound in a cluster. Some of these issues are discussed later in the book in chapters dealing with the ejection of large biomolecules from solids. A point that is not discussed is the tiuence of damage and induced to~~aphy in the emission of clusters. One may imagine that cluster emission may be favored in cases where many bonds are already absent at the time of the sputtering event. In his chapter, Andersets deals with the often controversial topic of non-linear sputtering, where yields are larger than expected from linear theory when the density of energy deposition is high (like for energetic heavy ion and cluster impact). The discussion is careful, especially in the avoidance of the term thermal to refer to spikes. Quantification of non-linear effects are based on comparisons with Sigmund’s linear theory. This is less satisfying thau comparison with Monte Carlo codes, since deviations from Sigmund’s theory may be given by a number of non-essential approximations in the treatment of surface effects, interatomic potentials, and electronic processes. An important fact, mentioned in passing, is that the enhanced sputtering yields from high density cascades camrot be predicted solely on the base of a high yield since, for instance, oblique incidence gives larger yields but not higher enhancement factors. In fact, enhancement is more likely related to the microscopic frwc of sputtered atoms but this would require a discussion of the time evolution of the collision cascade, which is absent in analytical theories and Monte Carlo simulations. This chapter also includes some early work on crater formation but these resubs are not easy to interpret, since craters include the effect of lattice relaxation after the impact. The electron micrographs shown will not be understood by the majority of the readers. The work discussed is related to cratering induced by large molecules and micrometeorites on surfaces [6,7]. In the latter case, the emission of electrons, ions and photons at velocities less than lo5 cm/s are a more clear indication of non-linear effects. Andersen’s review also mentions the “cluster fusion” experiments where, in an aftermath of “cold fusion” reports, it was claimed that high temperatures produced in impact of heavy water clusters with surfaces resulted in anomalons nuclear fusion yields. These experiments were received with almost universal skepticism and were later withdrawn when the original criticism of light ion contamination was proven right. An often used “proof” for thermal spikes is the displacement to low energies of the peak in the energy distribution of sputtered atoms, as mentioned above. Some authors have fit a “thermal” component to the sputtered energy spectra. This appears twenty, since the collapse of the surface barrier brought by the high density of moving recoils will enhance the escape probability of the recoils and thus affect the low energy part of the energy spectrum of sputtered atoms. It also seems strange that one 355 would assume that a bimodal energy distribution would result, rather than a graded epsilon. Andersen suggests that cluster emission may itself be connected to non-linear effects resulting from fluctuations in energy deposition and speculates that enhanced sputtering yields due to non-linear effects at high projectile energy may turn into depressed sputtering yields at impact energies below a few keV. The contribution by Ens discusses the young and active field of desorption of organic molecules. U~o~ately there is no connection with the chapters by Andersen and by Urbassek and Hofer. After reading the chapter one is still left with the question: how are these huge molecules ejected intact at t&se low ~mb~ding energies? Many problems are already not understood in the gas phase; an example is excitation to predissociation states, responsible for much of the background in the mass spectra. An obstacle iu the understanding is the fact that only ionized molecules are observed, since the dependence of io~tion probabilities on experimental .parameters have not been characterized. Intriguing are the observations of signal enhancement in liquids and the relative insensitivity of mass spectra to impact conditions. Trong and Bedrossian give a progress report of research on ion impact craters by scamting tunneling microscopy. The connection with real time sputtering experiment has not been made yet, and many of the structures observed are possibly created long after impact, when vacancies diffuse to the surface and annihilate there. In fact, sputtering yields calculated from the number of missing atoms in the craters typically exceed the macroscopic sputtering yield, especially at low impact energies. Moreover, more craters are often observed than the number of ion impacts. My impression is that this technique will prove more useful to study the evolution of surfaces tier impact than to give complementary imormation of the dynamics of the impact event. The new scanning probe instruments are likely the most adequate tools to revive the field of ~rnb~~ent induced topography and explain some of its mysteries. Winogrud discusses recent experiments on single crystals, made possible by the application of sensitive laser techniques. These studies are very difficult but can be a good test of MD ~c~atio~, once surface defects are well characterized and entered into the simulations. Notable are the surprising results of Burnett and co-workers of a two-fold decrease in the sputtering yield of single crystal ruthenium after only a monolayer or so has been removed by sputtering. Since theoretical results are often compared with experiments under higher dose conditions, the ruthenium results suggest that theories may be off by a factor of Z! More experiments are needed to confirm these results with other techniques, which will also serve to validate the laser post-ionization technique. The comprehensive chapter on alloy and isotope sputtering by Sterna and Lam touches some of the most 356 RA. Baragida /Nucl. lnstr. and Me& in Phys.Res. 3 94 (1994) 353-358 difficult aspects of sputtering, relevant for many applications: preferential sputtering, recoil mixing and recoil implantation. The difficulty in the description of these processes is that the motion of very low energy recoils is very implant when discussing differences of atomic composition of the solid between the oute~ost surface layer and the second layer. This occurs when describing recoil implantation, when discussing the depth of origin of the sputtered atoms, and when analyzing differences in composition measured by ARS (sensitive to a few atomic layers) vs. ISS (sensitive mostly just to the surface). At this microscopic level of description, theoretical estimates will depend very critically on many different parameters which are outside the range of analytical transport theories and Monte Carlo simulations. This sensitivity is also seen in the difficulty of precisely specifying the experimental conditions for testing various physical models. The authors succeed in providing a rather comprehensive review, which will most likely be an inevitable reference in future work on this subject. Fortunately for the readers, the authors did not suppress their critical views nor were afraid to risk opinions on controversial topics, like isotope effects. Also useful is the work by the authors in reconciling different views of previous theoretical work by many authors and defining a list of standing problems. Readers should be aware that the many concepts treated in this chapter are insufficient when discussing insulators, where long range unbalanced forces result from electrical charging effects that accompany irradiation. More discussions of insulators are given in later chapters by Johnson and Schou, by Szymonsky, and by Haglund and Keliy. Reimam complements the chapter by Ens, discussing mechanisms for fast ion induced desorption of large biomolecules. The fact that these very large bio-molecules (comprising several thousand atoms) are ejected intact from surfaces when impacted by highly ionizing particles is surprising at first sight. ft requires intermolecular bonds that are much weaker than intramolecular bonds, and a momentum transfer to the desorbed molecule occurring far from the “hot” region of large energy deposition set up by the projectile. That is, desorption of intact molecules results from either distant momentum transfer interactions or from the transport of coherent excitations far from the ionization tracks, where the molecules will most likely be fragmented. The author discusses different models, like collisional, thermal spike, and shock waves, which appear to describe partial aspects of the ejection process. The di~culty is that many models describe some general trends of the measured yield of sputtered molecular ions, while most of the sputtered flux is neutral. Reimann favors the pressure-pulse mechanism by Johnson et al., where wrrelated momentum transfer from the projectile track may push the biomolecule away from the surface. This model has been successful in explaining both the stopping power dependence of the yield and angular distributions in the only experiment that has been made on bulk desorption of large neutral molecules. The pressure pulse mechanism requires coherence in the sum of momentum transfers, which means that the electronic energy needs to be transferred into atomic motion in times of the order of or faster than lattice response times. This will not occur in substances like the rare gas solids, where the conversion of electronic energy into nuclear motion spreads over the long radiative lifetimes of the intermediate exciton states. However, a coherent expansion around an ionized track will occur in any insulator during the time needed for electron-ion recombination. This chapter is complemented by an experimental one on desotption by fast particles by Hiikansson. Again, except for one case, the data is for desorbed ions, which are more easily detected than atoms. Experiments are discussed in terms of track effects, including the surprising generation of C, molecules from a polymer containing a large proportion of H and F atoms, a phenomenon which is far from understood. In the case of desorption of Hf from surface species it is likely that repulsive states formed by electron capture by the projectile also play an important role in desorption, as judged from the dependence of desorption yields on the charge of the projectile. The case of energy and angular distribution of the low energy ions is consistent with the pressure pulse model, although it is not clear what role is played by electrostatic effects or what is the dependence of the ionization probability on experimental conditions. The extensive chapter by Johnson and Schou covers both theory and experiments on desorption of condensed gas solids and inorganic insulators. The chapter excludes alkali-halides, which is treated separately by Szymonsky, this is unfortunate because a coherent, unified, picture is long over due. Electronic sputtering is a particularly important topic because it provides one of the few views of non-radiative relaxation processes in solids. Unlike sputtering by elastic collisions, electronic sputtering is extremely dependent on the properties of the target. Sputtering yields have been found to have a linear to a cubic dependence on the inelastic energy deposited near the surface. This depends on the density of energy deposition and on target properties like binding energies, electron and hole mobilities, whether the sample is atomic or molecular, the presence of impurities, etc. The picture is further complicated by the fact that the proportionality factor with a certain power of the inelastic energy deposition depends on whether one is in the limit of low or high velocities. This causes a two-branch or loop behavior of the dependence of the yields on stopping power. The authors give different possible explanation for this behavior, which is not well understood: 1) at high velocities, comparisons should be made with the stopping power that correspond to the initial charge of the projectile, rather than with tabulated values that correspond to equilibrium charge of the projectile. 2) the effect of a velocity dependent partition of energy loss among excitation channels with different probabilities of RA. Sara&da / Nucf. instr. and Meth. in Phys.Res. 3 94 (19941353-358 ending in atomic motion, 3) decrease in the ion~ation track density at high velocities due to a larger extent of the ionization track, 4) decrease in the energy deposition near the surface at high velocities due to transport of energy away by fast electrons. Item 3) should include the velocity-dependent role of inner-shell excitations, which are known to be efficient in other desorption processes, through hole localization. Other processes of, desorption induced by electronic transitions can be found in the literature under the description of electron stimulated desorption [8] and photochemistry or photodesorption [9], and are usually treated separately in the literature and at scientific meetings [lo]. Studies of photon and electron stimulated desorption often deal with single adsorbed layers and generally analyze only the desorbed ions, which are easier to detect, but which comprise only a very small fraction of the desorbed flux. A current topic connected to this chapter is desorption of surface molecules by dissociative attachment of photoexcited electrons from the substrate, transmitted through thin adsorbed layers. Such a mechanism could explain the enhancement of the sputtering yield of condensed hydrogen for thin fdms. The old topic of sputtering of alkali halides has been shaken lately by detailed experiments and new theoretical concepts. The new notation on preferential sputte~g of the alkali and halogen components, obtained under ion, electron and photon impact is treated consistently in the chapter by Szymonsky, who also refers to interesting recent results of sputtering of free alkali halide clusters. The preferential sputtering depends on temperature, with a collisional component for halogen ejection superimposed on thermal sublimation components. The hyperthermal component, which is the most interesting, is only observed for some of the alkali halides. Traditional mechanisms invoked for the electronic sputtering of hyperthermal halogen atoms are not too different from those in the rare gas solids. Energy deposited in electron-hole pairs is localized in trapped holes and excitons. The subsequent decay processes involve non-radiative transitions which result in energetic recoils in the bulk. The atomic motion then propagates to the surface, possibly causing sputtering. Different from the case of rare gas solids, a replacement collision sequence is invoked for alkali halides, occurring along rows of halogen atoms. A recently proposed “surface” mechanism involves transport of electronic energy by “hot” holes from the bulk to the surface. The holes, being energetic, can localiie at an unstable, neutralized, surface halogen. This repulsive congyration can then relax by ejecting the halogen atom with a hy~~e~~ energy. This mechanism is somewhat related to the mechanism of cavity ejection in rare gas solids, where hot excitons diffusing from the bulk localize in a repulsive surface configuration. Haglund and Kelly discuss ablation of insulators induced by pulsed laser beams. Ablation is defined as a 357 condition where sputtering rates increase faster than linearly with laser intensity. As such, this includes photodesorption by two-photon absorption, and the cumulative effect of multiple photons, such as standard thermal effects, photon interactions with the previously excited solid and desorbed species, etc. In ablation, electron-hole pairs are originally excited by single- or multiple-photons (depending on the density of bandgap states such as surface and impurity states). The excitation then transforms into heat with an efficiency which depends on the strength of the electron-lattice coupling, which is very sensitive to the type of bonding. At large photon fluxes, the response of the material to an incoming photon is affected by alteration produced by previous photons in the pulse. Heat causes material to evaporate in a plume which can also absorb energy from the laser beam leading to photoionization in the gas phase and collision chemistry in the plume. At high photon fluxes multi-photon excitations to repulsive molecular states are possible, so it is not surprising that hyperthermal atoms are observed in the plume. This topic is developing rapidly due to manufacturing, engineering and medical applications. Bridging between the chapter of Haghmd and Kelly and those on ion impact desorption of biomolecules is that by Karas on matrix-assisted laser desorption. Thii is a very recent technique, which has found widespread use in analytical mass s~c~orne~, because of the ability to desorb even larger bio-molecular ions than can be desorbed using fast incident ions. In this method, the laser energy is preferentially absorbed by a matrix on which the biomolecule of interest is embedded. This energy absorption, which results from either a resonant or a multi-photon process, leads to an explosive evaporation which results in desorption. The mechanism may be similar to the pressure pulse model of Johnson et al., although there are several experimental observations which apparently do not fit this picture, Taglauer touches on some recent applications of sputtering to surface science. They include the so-called chemical sputtering which happens in low energy discharges in reactive gases, which are seeing widespread technological use. This chapter is somewhat out of balance with the rest of the book due to its brevity. It can be complemented by other recent books [ll-131 and reviews [14]. The last chapter is by Tombrdlo who describes selected cases where sputtering is important in planetary science. He focuses on the effect of irradiation by ions from the solar wind. Unlike controlled experiments in the laboratory, here sputtering is one of many possible effects which include meteoritic impact, phot~eso~tion and de~m~sition, and volcanic processes. Furthermore, the dose rates in these environments are usually many orders of magnitude smaller than those that can produce meaningful data in the lifetime of a human experimenter. Interesting topics included are the survival of cosmic grams, how grain-grain collisions can be simulated by molecular dy- 358 RA. Baragiola/Nucl. Instr. andhfeth. namics, and the effect of irradiation on isotopic ratios which are used to obtain information on astronomical history. A particularly far reaching application of sputtering is the mapping of surfaces exposed to the solar wind by mass spectrometry analysis of ejected ions and neutrals. This chapter can be complemented by a recent monograph on the topic [15]. In summary, this is an excellent book which captures the cardinal questions that currently preoccupy scientists in the field. It should be in the bookshelf of any researcher working on the interaction of particles and laser beams with solids. References [l] R. Behrisch and K. Wittmaack (eds.) Sputtering by Particle Bombardment III, Characteristics of Sputtered Particles, Technical Applications (Springer, Berlin, 1991) is the latest volume in the series. [2] M.L. Yu, in Ref. [I]. [3] See the proceedings of the latest International Workshop on Inelastic Ion-Surface Collisions, M. Bemheim and J.P. Gauyacq (eds.), Nucl. Instr. and Meth. B 78 (1993). in Phys. Res. B 94 (1994) 353-358 [41 H.H. Andersen, Nucl. Ins&. and Meth. B 18 (1987) 321. [Sl See papers by F. Flores and by 2. Sroubek, in: Ionization of Solids by Heavy Particles, ed. R.A. Baragiola (Plenum, New York 1993). b1 J.A.M. McDonnell (ed.), Hypervelocity Impacts in Space (Univ. Kent, Canterbury, 1992). 171 R.A. Baragiola, Nucl. Instr. and Meth. B 78 (1993) 223. k31R.D. Ramsier and J.T. Yates, Surf. Sci. Rep. 12 (19911 243. Dl X.-L. Zhou, X.-Y. Zhu and J.M. White, Surf. Sci. Rep. 13 (19911 73. [lOI A.R. Bums, E.B. Stechel and D.R. Jennison (eds.1, Desorption Induced by Electronic Transitions, DIET V (Springer, Berlin, 1993) is the latest proceedings of these meetings. ml D.J. O’Connor, B.A. Sexton and R.St.C. Smart (eds.), Surface Analysis Methods in Materials Science (Springer, Berlin, 1992). WI E.S. Parilis, L.M. Kishinevsky, N.Yu. Turaev, B.E. Baklitzky, F.F. Umarov, VKh. Verleger, S.L. Nizhnaya and J.S. Bitensky, Atomic Collisions on Solid Surfaces (North Holland, Amsterdam, 1993). Interactions [I31 J.W. Rabalais (ed.), Low Energy Ion-Surface (Wiley, New York, 1994). [14] K. Wittmaack, in Ref. [l]. [15] R.E. Johnson, Energetic Charged-Particle Interactions with Atmospheres and Surfaces (Springer, Berlin, 1990).
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