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ULTRAHIGH-PRESSURE MINERALOGY Physics and Chemistry of the Earth's Deep Interior Russell J. Hemley, Editor Geophysical Laboratory Carnegie Institution of Washington Washington, DC This volume was supported in part by The Center for High Pressure Research A National Science Foundation Science and Technology Center Paul H. Ribbe, Series Editor Department ofGeological Sciences Virginia Tech, Blacksburg, Virginia OOilNIEffiAIL({))~IICCA[' §({))ICIIIE'lI'lY ®il' AMIEffiIICCA ec W~SlbJ.iffili\l(())ffil. COPYRIGHT 1998 MINERALOGICAL SOCIETY OF AMERICA The appearance of the code at the bottom of the first page of each chapter in this volume indicates the copyright owner's consent that copies of the article can be made for personal use or internal use or for the personal use or internal use of specific clients, provided the original publication iscited. The consent isgiven onthe condition, however, that the copier pay the stated per-copy feethrough theCopyright Clearance Center, Inc. for copying beyond that permitted by Sections 107 or 108 of the U.S. Copyright Law. This consent does not extend to other types of copying for general distribution, for advertising or promotional purposes, for creating new collective works, or for resale. For permission to reprint entire articles inthese cases and the like, consult the Administrator of the Mineralogical Society ofAmerica as tothe royalty due tothe Society. REVIEWS IN MINERALOGY (Formerly: SHORT COURSE NOTES) ISSN 0275-0279 Volume 37 ULTRAHIGH-PRESSURE MINERALOGY: Physics and Chemistry of the Earth's Deep Interior ISBN 0-939950-48-0 ADDITIONAL COPIES ofthisvolume aswellasothers in this series maybe obtained atmoderate costfrom: THEMINERALOGICAL SOCIETY OF AMERICA 1015EIGHTEENTH STREET, NW, SUITE 601 WASHINGTON, DC 20036 U.S.A. ULTRAHIGH-PRESSURE MINERALOGY: Physics and Chemistry of the Earth's Deep Interior FOREWORD This volume was edited by Russell I. Hemley inpreparation for ashort course bythe same title, organized together with Ho-kwang Mao and sponsored by the Mineralogical Society of America, December 4-6, 1998onthecampus oftheUniversity of California at Davis. This is number 37 in the Reviews in Mineralogy series, begun in 1974 and continuing with vigor, at least into the near future, with volumes on "Uranium Mineralogy and Geochemistry," on "Sulfate Mineralogy," and on "Natural Zeolites" planned for 1999 and 2000. Volume 36 (1056 pagesl), "Planetary Materials," edited by 1.1. Papike, appeared earlier this year, and it is certainly not unrelated to the subject of this volume on the physics and chemistry of the deep interior of one of the planets. Rus Hemley has highlighted Reviews in Mineralogy Volumes 14, 18, 20 and 29 as particularly relevant tothe subject matter of"Ultrahigh-Pressure Mineralogy." Pau[J{. 'l?j66e Department ofGeological Sciences Virginia Tech Blacksburg, VA November 1998 PREFACE High-pressure mineralogy has historically been avital part of the geosciences, but it is only in the last few years that the field has emerged as adistinct discipline as aresult of extraordinary recent developments in high-pressure techniques. The domain of mineralogy is now no less than the whole Earth, from the deep crust to the inner core-the entire range of pressures and temperatures under which the planet's constituents were formed or now exist. The primary goal of this field is to determine the physical and chemical properties of materials that underlie and control the structural and thermal state, processes, and evolution oftheplanet. New techniques that have come 'on- line' within the last couple of years make itpossible to determine such properties under extreme pressures and temperatures with an accuracy and precision that rival measure- ments under ambient conditions. These investigations of the behavior of minerals under extreme conditions link the scale of electrons and nuclei with global processes of the Earth and other planets in the solar system. It is in this broad sense that the term 'Ultrahigh-Pressure Mineralogy' is used for the title of this volume of Reviews in Mineralogy. This volume sets out to summarize, in a tutorial fashion, knowledge in this rapidly developing area of physical science, the tools for obtaining that knowledge, and the prospects for future research. The book, divided into three sections, begins with an overview (Chapter 1)of the remarkable advances in the ability to subject minerals-not only aspristine single-crystal samples but also complex, natural mineral assemblages-to extreme pressure-temperature conditions in the laboratory. These advances parallel the development of an arsenal of analytical methods for measuring mineral behavior under those conditions. This sets the stage for section two (Chapters 2-8) which focuses on high-pressure minerals in their geological setting as afunction of depth. This top-down approach begins with what we know from direct sampling of high-pressure minerals and rocks brought to the surface to detailed geophysical observations of the vast interior. The third section (Chapters 9-19) presents the material fundamentals, starting from properties of achemical nature, such as crystal chemistry, thermochemistry, element partitioning, 111 PREFACE and melting, and moving toward the domain of mineral physics such as melt properties, equations of state, elasticity, rheology, vibrational dynamics, bonding, electronic structure, and magnetism. The Review thus moves from the complexity of rocks to their mineral components and finally to fundamental properties arising directly from the play of electrons and nuclei. The following themes crosscut itschapters. Composition of the mantle and core. Our knowledge of the composition of the Earth inpart is rooted in information oncosmochemical abundances of the elements and observations from the geological record. But an additional and essential part of this enterprise is the utilization of the growing information supplied by mineral physics and chemistry in detailed comparison with geophysical (e.g. seismological) observations for the bulk of the planet. There is now detailed information from a variety of sources concerning crust-mantle interactions in subduction (Liou et aI., Chapter 2; Mysen et aI., Chapter 3). Petrological, geochemical, and isotope studies indicate a mantle having significant lateral variability (McDonough and Rudnick, Chapter 4). The extent of chemical homogeneity versus layering with depth in the mantle, aquestion as old as the recognition of the mantle itself, is afirst-order issue that threads its way throughout the book. Agee (Chapter 5) analyzes competing models interms ofmineral physics, focusing on the origin of seismic discontinuities in the upper mantle. Bina (Chapter 6) examines theconstraints forthe lower mantle, with particular emphasis given tothe variation ofthe density and bulk sound velocity with depth through to the core-mantle boundary region (Jeanloz and Williams, Chapter 7). Stixrude and Brown (Chapter 8) examine bounds on the composition ofthecore. Mineral elasticity and the link to seismology. The advent of new techniques is raising questions of the mineralogy and compositionofthe deep interior to anew level. As aresult of recent advances in seismology, the depth-dependence of seismic velocities and acoustic discontinuities have been determined with high precision, lateral heterogeneities in the planet have been resolved, and directional anisotropy has been determined (Chapters 6 and 7). The first-order problem of constraining the composition and temperature as a function of depth alone is being redefined by high-resolution velocity determinations that define lateral chemical or thermal variations. As discussed by Liebermann and Li (Chapter IS), measurements of acoustic velocities can now be carried out simultaneously at pressures that are an order of magnitude higher, and at temperatures that are afactor oftwo higher, than those possible just afew years ago. The tools are in hand to extend such studies to related properties of silicate melts (Dingwell, Chapter 13).Remarkably, the solid inner core is elasticaiIy anisotropic (Chapter.8);with developments in computational methods, condensed-matter theory now provides robust and surprising predictions for this effect (Stixrude et aI., Chapter 19), and with very recent experimental advances, elasticity measurements of core material at core pressures can beperformed directly (Chapters 1and 15). Mantle dynamics. The Earth is a dynamic planet: the rheological properties of minerals define the dynamic flow and texture of material within the Earth. Measurement of rheological properties at mantle pressures is a significant challenge that can now be addressed (Weidner, Chapter 16). Deviatoric stresses down to 0.1 GPa to pressures approaching 300 GPa can be quantified inhigh-pressure cells using synchrotron radiation (Chapter 1). The stress levels are an appropriate scale for understanding earthquake genesis, including the nature of earthquakes that occur at great depth in subducted slabs (deep-focus earthquakes) as these slabs travel through the Earth's mantle. Newly developed high-pressure, high-precision x-ray tools such as monochromatic radiation with modern detectors with short time resolution and employing long duration times are IV PREFACE now possible with third-generation synchrotron sources to study the rheology of deep Earth materials under pressure (Chapter 1). Fate of subducting slabs. One of the principal interactions between the Earth's interior and surface is subduction of lithosphere into the mantle, resulting in arc volcanoes, chemical heterogeneity in the mantle, as well as deep-focus earthquakes (Chapters 2 and 3). Among the key chemical processes associated with subduction is the role of water inthe recycling process (Prewitt and Downs, Chapter 9), which atshallower levels is essential for understanding arc volcanism. Mass and energy transport processes govern global recycling of organic and inorganic materials, integration of these constituents in the Earth's interior, the evolution (chemically and physically) of descending slabs near convergent plate boundaries, and the fate of materials below and above the descending slab. Chapters 5 and 6 discuss the evidence for entrainment and passage of slabs through the 670 km discontinuity, and the possibility of remnant slabs in the anomalous D" region near the core-mantle boundary (Chapter 7). The ultimate fate of the materials cycled to such depths may affect interactions at the core-mantle boundary and may also hold clues to the initiation of diapiric rise. The evolution and fate of a subducting slab can now be addressed by experimental simulation of slab conditions, including in situ monitoring of a simulated slab in high-pressure apparatus in situ x-ray and spectroscopic techniques. The chemistry of volatiles changes appreciably under deep Earth conditions: they can be structurally bound under pressure (Prewitt and Downs, Chapter 9). Melting. Understanding pressure-induced changes in viscosity and other physical properties of melts is crucial for chemical differentiation processes ranging from models of the magma ocean in the Earth's early history to the formation of magmatic ore deposits. (Chapter 13). Recent evidence suggests that melting may take place at great depth in the mantle. Seismic observations of alow-velocity zone and seismic anisotropy at the base of the mantle have given rise to debate about the existence of regions of partial melt deep in the mantle (Chapter 7). Deep melting is also important for mantle convection from subduction of the lithosphere to the rising of hot mantle plumes. Very recent advances in determination of melting relations of mantle and core materials with laser-heating techniques are beginning to provide accurate constraints (Shen and Heinz, Chapter 12).Sometimes lost in the debate onmelting curves isthe fact that adecade ago, there simply were no data for most Earth materials, only guesses and (at best) approximate models. Moreover, it isnow possible to carry out in situ melting studies on multi-cornponanr systems, including natural assemblages, to deep mantle conditions. These results address whether or not partial melting is responsible for the observed seismic anomalies atthe base ofthe mantle andprovide constraints for mantle convection models (Chapter 7). The enigma of the Earth's core. The composition, structure, formation, evolution, and current dynamic state of the Earth's core is an area of tremendous excitement (Chapter 8). The keys to understanding the available geophysical data are the material properties of liquid and crystalline iron under core conditions. New synchrotron-based methods and new developments in theory are being applied to determine all of the pertinent physical properties, and in conjunction with seismological and geodynamic data, to develop a full understanding of the core and its interactions with the mantle (Chapter 7). There has been considerable progress in determining the melting and phase relations of iron into the megabar range with new techniques (Chapter 12). Constraints are also obtained from theory (Chapter 19). These results feed into geophysical models for the outer and inner core flow, structural state, evolution, and the geodynamo. Moreover, there is remarkable evidence that the Earth's inner core rotates at adifferent rate than the rest ofthe Earth. This evidence inturn rests onthe observation that the inner v PREFACE core is elastically anisotropic, a subject of current experimental and theoretical study from thestandpoint of mineral physics, asdescribed above. The thermodynamic framework. Whole Earth processes must be grounded in accurate thermodynamic descriptions of phase equilibria in multi-component systems, as discussed byNavrotsky (Chapter 10).New developments inthis area include increasingly accurate equations of state (Duffy andWang, Chapter 14)required for modeling ofphase equilibria as well as for direct comparison with seismic density profiles through the planet. Recent developments in in situ vibrational spectroscopy and theoretical models provide ameans for independently testing available thermochemical data and ameans for extending those data to high pressures and temperatures (Gillet et aI., Chapter 17). Accurate determinations of crystal structures provide abasis for understanding thermo- chemical trends (Chapter 9). Systematics for understanding solid-solution behavior and element partitioning are now available, at least to the uppermost regions of the lower mantle (Fei, Chapter 11).New measurements for dense hydrous phases are beginning to provide answers to fundamental questions regarding their stability of hydrous phases in the mantle (Chapters 3 and 9) and the partitioning of hydrogen and oxygen between the mantle andcore (Chapter 8). Novel physical phenomena at ultrahigh pressures. One ofthe key recent findings in high-pressure research is the remarkable effect of pressure on the chemistry of the elements, atconditions ranging from deep metamorphism of crustal minerals (Chapter 2) to "contact metamorphism" at the core-mantle boundary (Chapter 7). Pressure-induced changes in Earth materials represent forefront problems in condensed-matter physics. New crystal structures appear and the chemistry of volatiles changes (Chapter 9). Pressure-induced electronic transitions and magnetic collapse in transition metal ions strongly affect mineral properties and partitioning of major, minor, and trace elements (Chapter 11). Evidence for these transitions from experiment (Chapter 18) and theory (Chapter 19) is important for developing models for Earth formation and chemical differentiation. The conventional view of structurally and chemically complex minerals ofthe crust giving way to simple, close-packed structures ofthe deep mantle and asimple iron core isbeing replaced by anew chemical picture wherein dense silicates, oxides, and metals exhibit unusual electronic and magnetic properties and chemistry. In the end, this framework must dovetail with seismological observations indicating an interior of considerable regional variability, both radially and laterally depending on depth (e.g. Chapters 6and 7). New classes of global models. Information concerning the chemical and physical properties of Earth materials athigh pressures and temperatures is being integrated with geophysical and geochemical data to create a more comprehensive global view of the state, processes, and history of the Earth. In particular, models of the Earth's interior are being developed that reflect the details contained in the seismic record but are bounded by laboratory information onthe physics and chemistry ofthe constituent materials. Such "Reference Earth Models" includes the development of reference data sets and modeling codes. Tools that produce seismological profiles from hypothesized mineralogies (Chapters 4 and 5) are now possible, as are tools for testing these models against 'reference' seismological data sets (Chapter 6). These models incorporate the known properties of the Earth, such as crust and lithosphere structure, and thus have both an Earth-materials and seismological orientation. Other planets. The Earth cannot be understood without considering the rest of the solar system. The terrestrial planets of our solar system share acommon origin, and our understanding of the formation of the Earth is tied to our understanding of the formation of its terrestrial neighbors, particularly with respect to evaluating the roles of homogeneous and heterogeneous processes during accretion. As a result of recent VI PREFACE developments in space exploration, as well as in the scope of future planetary missions, we have new geophysical and geochemical data for the other terrestrial planets. Models for the accretion history of the Earth can now be reevaluated in relation to this new data. Experiments on known Earth materials provide the thermodynamic data necessary to calculate the high-pressure mineralogy of model compositions for the interior of Mars and Venus. Notably, the outer planets have the same volatile components as the Earth, just different abundances. Studies of the outer planets provide both an additional perspective on our own planet as well as a vast area of opportunity for application of these newly developed experimental techniques (Chapter 1and 17). New techniques in the geosciences. The utility of synchrotron radiation techniques in mineralogy has exceeded the expectations of even the most optimistic. New spectroscopic methods developed for high-pressure mineralogy are now available for characterizing small samples from other types of experiments. For example, the same techniques developed for insitu studies athigh pressures andtemperatures arebeing used to investigate microscopic inclusions such ascoesite inhigh-pressure metamorphic rocks (Chapter 2) and deep-mantle samples as inclusions in diamond (Chapter 3). With the availability of a new generation of synchrotron radiation sources (Chapter 1) and spectroscopic techniques (Chapter 17), a systematic application of new methods, including microtomographic x-ray analysis of whole rock samples, is now becoming routinely possible. Contributions in technology. Finally, there are implications beyond the geosciences. Mineralogy has historically has led many to conceptual and technical developments used in other fields, including metallurgy and materials science, and the new area of ultrahigh pressure mineralogy continues this tradition. As pointed out in Chapter 1,many high- pressure techniques have their origins in geoscience laboratories, and in many respects, geoscience leads development of high-pressure techniques in physics, chemistry, and materials science. New developments include the application of synthetic diamond for new classes of 'large-volume' high-pressure cells. Interestingly, information on diamond stability, including its metastable growth, feeds back directly on efforts to grow large diamonds for the next generation of such high-pressure devices (Chapter 1). Micro- analytical techniques, such as micro-spectroscopy and x-ray diffraction, developed for high-pressure research are now used outside of this field ofresearch as well. The study of minerals and mineral analogs under pressure is leading to new materials. As in the synthesis ofdiamond itself, these same scientific approaches promise the development of novel, technological materials. A number of books have reviewed certain aspects of the material covered in this volume. Although many are cited in the chapters, some of the key publications are listed here. Among the most recent are the proceedings of the US-Iapan seminar on high- pressure mineral physics, Properties ofEarth and Planetary Materials atHigh Pressures and Temperatures, edited by M.H. Manghnani and T. Yagi [American Geophysical Union, Washington, D.C., 1998], which contains numerous recent developments, and earlier volumes in the series contain landmark papers in the field. Very recent developments in high-pressure research are given in Review of High-Pressure Science and Technology, Vol. 7,edited byM.Nakahara [Japan Society forHigh-Pressure Science and Technology, Kyoto, 1998].T.I. Ahrens' Mineral Physics and Crystallography [AGU Reference Shelf, Vol. 2,American Geophysical Union, Washington, D.C., 1995]contains useful tabulations of data as well as introductions to both properties and techniques. Equations of State of Solids for Geophysics and Ceramic Science, by O.L. Anderson [Oxford University Press, New York, 1995]isanimportant recent resource. Earlier books include the following. Previous volumes of Reviews of Mineralogy provide useful pedagogic background, particularly Volume 14, Microscopic to vii PREFACE Macroscopic, edited by S.W. Kieffer and A. Navrotsky; Volume 18, Spectroscopic Methods, edited by F.C. Hawthorne; Volume 20,Modern Powder Diffraction, edited by D.L. Bish and I.E. Post; and Volume 29, Silica, edited by P.I. Heaney et al. L.G. Liu and W.A. Bassett [Elements, Oxides, Silicates, Oxford University Press, New York, 1986] provided an encyclopedic overview of the high P-T properties of mantle and core materials generally in the sub-megabar range (mostly <30 GPa), summarizing data to 1986. D.L. Anderson's Theory of the Earth [Blackwell, Boston, 1989] and A.E. Ringwood's earlier Composition and Petrology of the Earth's Mantle [McGraw-Hill, New York, 1975] defined integrated views of thedeep interior with information available at that time. The classic, early papers in the field have been compiled by T.I. Shankland and J.D. Bass in Elastic Properties and Equations of State [American Geophysical Union, Washington, D.C., 1988]. Finally, I thank the following people for their help with this project. As is evident, this is the product of 34 authors, all very busy people who put aside other tasks to complete their chapters, sometimes with ridiculous deadlines. I am indebted toDave Mao for much help with the organization and planning. Gordon Brown suggested the idea, and was persistent in his encouragement. The effort was supported by the NSF Center for High Pressure Research; itsstaff and especially the members of itsExecutive Committee, Don Weidner (Director), Charlie Prewitt, Bob Liebermann, and Alex Navrotsky, contributed to many aspects of the project. Dave Mao, Martin Wilding, and Alex Navrotsky helped with the short course. A number of additional people contributed immeasurably incompleting the volume: Steve Gramsch, James Badro, Viktor Struzhkin, Maddury Somayazulu, Merri Wolf, and Amanda Davis. And last, but actually first, I thank Paul Ribbe, who manages to put together these volumes with seeming effortlessness, uniform excellence, andever good cheer, year after year after year. ~usse[[J.j{em[ey Geophysical Laboratory Centerfor High Pressure Research Carnegie Institution of Washington Washington, DC November 1998 V111 Table of Contents 1 NEW WINDOWS ONTHE EARTH'S DEEP INTERIOR Ho-kwang Mao, R. J. Hemley INTRODUCTION 1 ~~~:~c~F~~~ls:~~fo~~~~~~:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::~ New opportunities and beyond 3 PRESSURE AND TEMPERATURE. .4 ~:~~-~~~~~~.~~~~c.~~~:~~.~:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::j:':i:::::::::: Variable temperature 15 HIGH-PRESSURE MINERAL PHYSICS AND CHEMISTRy 18 Quenching high P-T samples 18 In situ probes at high pressure and variable temperature 18 New opportunities with synchrotron radiation 21 CONCLUDING PROLEGOMENON 25 ACKNOWLEDGMENTS 26 REFERENCES 28 2 HIGH-PRESSURE MINERALS FROM DEEPLY SUBDUCTED METAMORPHIC ROCKS J.G. Liou, R. Y.Zhang, W. G. Ernst, D. Rumble III, S. Maruyama INTRODUCTION 33 DEFINITION AND poT REGIMES FOR VHP METAMORPHISM 34 GLOBAL DISTRIBUTION OF VHP METAMORPHIC TERRANES 36 The Dora Maira Massif, Western Alps, 35 Ma .4l The Kokchetav Massif, Northern Kazakhstan, 540-530 Ma .41 The Sulu-Dabie Terrane, East-Central China, 210-240 Ma .42 The Western Gneiss Region, Norway, 408-425 Ma .42 DESCRIPTION OF VHP ROCKS .44 Eclogites from East-Central China .44 Garnet peridotites .44 Metasediments .47 GEOCHEMICAL CHARACTERISTICS-EXAMPLES FROM CHINA .47 Diamond 52 VHP HYDROUS SILICATES 55 Phengitic mica 55 Zoisite and epidote 57 Talc 59 Ti-Clinohumite 62 Nyboite and glaucophane 62 Discussion 63 CHIEFLY DABIE-SULU VHP CARBONATE PHASES 65 Magnesite 65 Dolomite 67 Calcite pseudomorphs after aragonite 69 Phase relations 69 EXSOLUTION LAMELLAE IN DABIE-SULU AND OTHER ROCKS 70 Ilmenite rods in olivine 70 Magnetite lamellae in olivine and clinohumite 73 Ilmenite rods in clinopyroxene 75 K-feldspar lamellae in clinopyroxene 75 Silica rods in omphacite and clinopyroxene 78 Monazite lamellae in apatite 79 OTHER UNUSUAL MINERALS 79 CONCLUSIONS 83 ACKNOWLEDGMENTS 85 REFERENCES················ 85 IX 3 THE UPPER MANTLE NEAR CONVERGENT PLATE BOUNDARIES B. O. Mysen, P. Ulmer, J.Konzett, M. W. Schmidt INTRODUCTION 97 SEISMIC DEFINITION OF SUBDUCTION 99 NATURAL EXAMPLES OF THE UPPER MANTLE NEAR CONVERGENT PLATE BOUNDARIES 99 Accretionary subduction complexes 102 High and very high pressure terranes 102 Peridotite massifs 103 Upper mantle xenoliths 104 Natural evidence for the role of H,O in subduction zones 104 Metasomatically altered xenoliths 105 H,O content of arc magmas and melt inclusions in arc-derived minerals 106 Water contents inferred from experimental phase equilibria 106 Oxygen fugacity in the mantle near convergent plate boundaries 107 PHASE RELATIONS AMONG METASEDIMENTS, GABBRO, AND ULTRAMAFIC COMPOSITIONS NEAR SUBDUCTION ZONES I08 Phase relations in metabasalt, basalt and metasediments 109 Phase relations in ultramafic compositions 110 Phase relations in mantle compositions with additional components 116 H,O in nominally anhydrous minerals 120 WATER IN PERIDOTITE 120 DENSE HYDROUS MAGNESIUM SILICATES (DHMS) 122 EXPERIMENTAL STUDIES OF METASOMATIC ALTERATION OF THE MANTLE WEDGE 123 Materials transport-silicate solubility in aqueous solutions 123 Silica enrichment and mineralogical alteration during flushing of the mantle above subducting slabs 124 Phase relations among K-rich, hydrous phases -results of metasomatism of peridotite? 125 Phase relations in K,O-Na,O-CaO-MgO-AI,03-SiO,-H,O (KNCMASH) 127 Phase relations in the natural lherzolite system 129 Hydrous potassic phase stability in subduction zone settings 131 CONCLUDING REMARKS 131 REFERENCES 132 4 MINERALOGY AND COMPOSITION OF THE UPPER MANTLE W. F. McDonough, R. L. Rudnick INTRODUCTION 139 ROCKS OF THE UPPER MANTLE 139 Peridotites 140 Mafic rocks l51 Inclusions in diamonds 152 THE SAMPLES 153 Orogenic massifs 153 Mantle xenoliths 154 Oceanic peridotites 157 A MODEL COMPOSITION FOR THE UPPER MANTLE 158 ACKNOWLEDGMENTS 159 REFERENCES 159 5 PHASE TRANSFORMATIONS AND SEISMIC STRUCTURE IN THE UPPER MANTLE AND TRANSITION ZONE C. B. Agee INTRODUCTION 165 OLIVINE AND THE Mg,SiO.-Fe,SiO 166 x

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