ALBERT

Anmerkung: Zugleich: Dissertation, Universität Bremen, 1989 , Zusammenfassung in englischer Sprache

Anmerkung: Zugl.: Greifswald, Univ., Diss., 2005

Anmerkung: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index

Anmerkung: Zugl.: München,Univ. der Bundeswehr, Diss., 2005

Anmerkung: Contents Part I: Mafic rocks Introduction: Magmatic deposits associated with mafic rocks / A. J. Naldrett Sulfide melts: crystallization temperatures, solubilities in silicate melts, and Fe, Ni, and Cu partitioning between basaltic magmas and olivine / A. J. Naldrett Vapor associated with mafic magma and controls on its composition / E. A. Mathez Geochemistry of platinum-group elements in mafic and ultramafic rocks / E. A. Mathez & C. L. Peach Komatite-associated nickel sulfide deposits / C.M. Lesher Ores associated with flood basalts / A. J. Naldrett Contamination and the origin of the sudbury structure and its ores / A. J. Naldrett Stratiform PGE deposits in layered intrusions / A. J. Naldrett Interactions involving fluids in the stillwater and bushveld complexes: observations from the rocks / E. A. Mathez Part II: Silicic rocks Introduction: Ore deposits associated with silicic rocks / J.A. Whitney Origin and evolution of silicic magmas / J.A. Whitney Magmatic ore-forming fluids: Thermodynamic and mass-transfer calculations of metal concentrations / P.A. Candela Felsic magmas, volatiles, and metallogenesis / P.A. Candela Granitoid textures, compositions, and volatile fugacities associated with the formation of Tungsten-dominated skarn deposits / J.D. Keith, W. van Middelaar, A. H. Clark, & C. J. Hodgson

Anmerkung: Contents Preface Part I Anatomy of a cyclone 1 Anatomy of a cyclone 1.1 A 'typical' extra-tropical cyclone 1.2 Describing the atmosphere 1.3 Air masses and fronts 1.4 The structure of a typical extra-tropical cyclone Review questions 2 Mathematical methods in fluid dynamics 2.1 Scalars and vectors 2.2 The algebra of vectors 2.3 Scalar and vector fields 2.4 Coordinate systems on the Earth 2.5 Gradients of vectors 2.6 Line and surface integrals 2.7 Eulerian and Lagrangian frames of reference 2.8 Advection Review questions 3 Properties of fluids 3.1 Solids, liquids, and gases 3.2 Thermodynamic properties of air 3.3 Composition of the atmosphere 3.4 Static stability 3.5 The continuum hypothesis 3.6 Practical assumptions 3.7 Continuity equation Review questions 4 Fundamental forces 4.1 Newton's second law: F=ma 4.2 Body, surface, and line forces 4.3 Forces in an inertial reference frame 4.4 Forces in a rotating reference frame 4.5 The Navier-Stokes equations Review questions 5 Scale analysis 5.1 Dimensional homogeneity 5.2 Scales 5.3 Non-dimensional parameters 5.4 Scale analysis 5.5 The geostrophic approximation Review questions 6 Simple steady motion 6.1 Natural coordinate system 6.2 Balanced flow 6.3 The Boussinesq approximation 6.4 The thermal wind 6.5 Departures from balance Review questions 7 Circulation and vorticity 7.1 Circulation 7.2 Vorticity 7.3 Conservation of potential vorticity 7.4 An introduction to the vorticity equation Review questions 8 Simple wave motions 8.1 Properties of waves 8.2 Perturbation analysis 8.3 Planetary waves Review questions 9 Extra-tropical weather systems 9.1 Fronts 9.2 Frontal cyclones 9.3 Baroclinic instability Review questions Part II Atmospheric phenomena 10 Boundary layers 10.1 Turbulence 10.2 Reynolds decomposition 10.3 Generation of turbulence 10.4 Closure assumptions Review questions 11 Clouds and severe weather 11.1 Moist processes in the atmosphere 11.2 Air mass thunderstorms 11.3 Multi-cell thunderstorms 11.4 Supercell thunderstorms and tornadoes 11.5 Mesoscale convective systems Review questions 12 Tropical weather 12.1 Scales of motion 12.2 Atmospheric oscillations 12.3 Tropical cyclones Review questions 13 Mountain weather 13.1 Internal gravity waves 13.2 Flow over mountains 13.3 Downslope windstorms Review questions 14 Polar weather 14.1 Katabatic winds 14.2 Barrier winds 14.3 Polar lows Review questions 15 Epilogue: the general circulation 15.1 Fueled by the Sun 15.2 Radiative-convective equilibrium 15.3 The zonal mean circulation 15.4 The angular momentum budget 15.5 The energy cycle Appendix A - symbols Appendix Β - constants and units Bibliography Index

Anmerkung: Contents Acknowledgments Chapter 1. Introduction 1.1 Discovery 1.2 General Introduction 1.3 Just for Fun — An Isotope Biography of Mr. Polychaete Chapter 2. Isotope Notation and Measurement Overview 2.1 The Necessary Minimum for Ecologists 2.2 Why Use the 5 Notation? 2.3 Why Is 8 a Good Substitute for % Heavy Isotope? 2.4 8 and the Ratio-of-Ratios 2.5 Chapter Summary Chapter 3. Using Stable Isotope Tracers Overview 3.1 Isotope Circulation in the Biosphere 3.2 Landscape Ecology and Isotope Maps 3.3 Community Ecology and Invasive Species in Food Webs 3.4 Life History Ecology and Animal Migrations 3.5 Plants, Microbes, and Scaling Up 3.6 Chapter Summary Chapter 4. Isotope Chi ("I Chi") Overview 4.1 Chocolate Isotopes 4.2 Oxygen in the Sea 4.3 Equations for Isotope Chi ("I Chi") 4.4 Building an I Chi Gain-Loss Model, Step by Step 4.5 Errors in I Chi Models 4.6 Exact Equations for I Chi Models 4.7 Cows in a Pasture 4.8 Chapter Summary Chapter 5. Mixing Overview 5.1 Isotope Mixing in Food Webs 5.2 Isotope Sourcery 5.3 Mixing Mechanics 5.4 Advanced Mixing Mechanics 5.5 Mixing Assumptions and Errors or the Art and Wisdom of Using Isotope Mixing Models 5.6 River Sulfate and Mass-Weighted Mixing 5.7 A Special Muddy Case and Mixing Through Time 5.8 The Qualquan Chronicles and Mixing Across Landscapes 5.9 Dietary Mixing, Turnover, and a Stable Isotope Clock 5.10 Chapter Summary Chapter 6. Isotope Additions Overview 6.1 Addition Addiction 6.2 The Golden Spike Award for Isotopes 6.3 Chapter Summary Chapter 7. Fractionation Overview 7.1 Fractionation Fundamentals 7.2 Isotopium and Fractionation in Closed Systems 7.3 A Strange and Routine Case 7.4 A Genuine Puzzle — Fractionation or Mixing? 7.5 Cracking the Closed Systems 7.6 Equilibrium Fractionation, Subtle Drama in the Cold 7.7 A Supply/Demand Model for Open System Fractionation 7.8 Open System Fractionation and Evolution of the Earth's Sulfur Cycle 7.9 Open System Legacies 7.10 Conducting Fractionation Experiments 7.11 Chapter Summary Chapter 8. Scanning the Future Overview 8.1 The Isotope Scanner 8.2 Mangrove Maude 8.3 The Beginner's Advantage—Imagine! 8.4 Chapter Summary Appendix. Important Isotope Equations and Useful Conversions Index Supplemental Electronic Materials on the Accompanying CD A. Chapter 1 Color Figures and Cartoon Problems B. Chapter 2 Color Figures and Cartoon Problems Technical Supplement 2A: Measuring Spiked Samples Technical Supplement 2B: Ion Corrections Technical Supplement 2C: The Ratio Notation and The Power of 1 C. Chapter 3 Color Figures and Cartoons Problems D. Chapter 4 Color Figures and Cartoons Problems I Chi Spreadsheets E. Chapters 5 Color Figures and Cartoons Problems I Chi Spreadsheets F. Chapter 6 Color Figure and Cartoon Problems I Chi Spreadsheet Technical Supplement 6A: How Much Isotope Should I Add? Technical Supplement 6B: Noisy Data and Data Analysis with Enriched Samples G. Chapter 7 Color Figures and Cartoons Problems I Chi Spreadsheets Technical Supplement 7A: A Chemist's View of Isotope Effects Technical Supplement 7B: Derivations of Closed System Isotope Equations H. Chapter 8 Color Figures and Cartoons Problems I. All Problems for Chapters 1-8 J. All Answers to Problems for Chapters 1-8 K. All Figures and Cartoons L. All I Chi Spreadsheets M. A Reading List

Anmerkung: Contents: 1. Introduction. 2. RC Filter. 3. General linear time invariant systems. 4. The seismometer. 5. The sampling process. 6. Analog-to-digital conversion. 7. From infinitely continuous to finite discrete. 8. The digital anti-alias filter. 9. Inverse and simulation filtering of digital seismograms. 10. The measurement of wavelet parameters from digital seismograms. References. Appendix: Solution to problems.

Anmerkung: Contents: List of contributors. - Preface. - 1 An Overview of Rates of Chemical Weathering / S. M. Colman and D. P. Dethier. - PART I KINETICS AND MECHANISMS OF WEATHERING REACTIONS. - 2 The Relations between Crystal Structure and Silicate Weathering Rates / R. A. Eggleton. - 3 The Dissolution Rate of Forsteritic Olivine from Hawaiian Beach Sand / D. E. Grandstaff. - 4 Stoichiometry of Alkali Feldspar Dissolution at Room Temperature and Various pH Values / G. R. Holdren, Jr. and P. M. Speyer. - 5 Rate Limitation and Dissolution of Highly Soluble Minerals / J. B. Laronne. - PART II RATES OF MINERAL ALTERATION IN SOIL ENVIRONMENTS. - 6 The Etching of Hornblende Grains in the Matrix of Alpine Tills and Periglacial Deposits / R .D. Hall and R. E. Martin. - 7 Rates of Hornblende Etching in Soils on Glacial Deposits, Baffin Island, Canada / W. W. Locke. - 8 Rates of Mineral Weathering in the Wind River Mountains, Western Wyoming / W. C. Mahaney and D. L. Halvorson. - 9 Evolution of Iron Crusts in Tropical Landscapes / D.B. Nahon. - 10 Processes and Rates of Weathering in Cold and Polar Desert Environments / F. C. Ugolini. - PART III WEATHERING OF VOLCANIC ASHES AND DEPOSITS. - 11 Weathering of Holocene Airfall Tephras in the Southern Canadian Rockies / R. H. King. - 12 Controls on the Rates of Weathering and Clay Mineral Genesis in Airfall Tephras: A Review and New Zealand Case Study / D. J. Lowe. - 13 Rates of Weathering of 14C-Dated Late Quaternary Volcaniclastic Deposits in the Western United States / V. E. Neall and I. K. Paintin. - 14 Chemical Weathering of the May 18, 1980, Mount St. Helens Ash Fall and the Effect on the Iron Creek Watershed, Washington / A. F. White and L. V. Benson and A. Yee. - PART IV RATES OF FORMATION OF ROCK-WEATHERING FEATURES. - 15 Levels of Time Information in Weathering Measurements, with Examples from Weathering Rinds on Volcanic Clasts in the Western United States / S. M. Colman. - 16 Weathering Rates in Granitic Boulders Measured by P-Wave Speeds / R. Crook, Jr. and A. R. Gillespie. - 17 Growth of Weathering Rinds on Torlesse Sandstone, Southern Alps, New Zealand / I. E. Whitehouse and M. J. McSaveney and P. L. K. Knuepfer and T. J. H. Chinn. - PART V HYDROCHEMICAL STUDIES OF RATES OF WEATHERING. - 18 The Mathematical Basis for Determining Rates of Geochemical and Geomorphic Processes in Small Forested Watersheds by Mass Balance: Examples and Implications / M. A. Velbel. - 19 An Estimate of Plagioclase Weathering Rate in the Idaho Batholith Based upon Geochemical Transport Rates / J. L. Clayton. - 20 The Use of Catchment Studies for Assessing Chemical Weathering Rates in Two Contrasting Upland Areas in Northeast Scotland / J. Creasey and A. C. Edwards and J. M. Reid and D. A. MacLeod and M. S. Cresser. - 21 Weathering Rates and the Chemical Flux from Catchments in the Pacific Northwest, U.S.A. / D. P. Dethier. - 22 Rates of Weathering and Erosion Derived from Mass Balance in Small Drainage Basins / T. Paces. - 23 Processes and Rates of Saprolite Production and Erosion on a Foliated Granitic Rock of the Virginia Piedmont / M. J. Pavich. - Index.

Anmerkung: J. B. Dawson, D. A. Carswell, J. Hall, and K.H. Wedepohl: Introduction / Geological Society, London, Special Publications, 24:vii-viii, doi:10.1144/GSL.SP.1986.024.01.01 --- R. Meissner: Twenty years of deep seismic reflection profiling in Germany—a contribution to our knowledge of the nature of the lower Variscan crust / Geological Society, London, Special Publications, 24:1-10, doi:10.1144/GSL.SP.1986.024.01.02 --- D. H. Matthews: Seismic reflections from the lower crust around Britain / Geological Society, London, Special Publications, 24:11-21, doi:10.1144/GSL.SP.1986.024.01.03 --- S. B. Smithson: A physical model of the lower crust from North America based on seismic reflection data / Geological Society, London, Special Publications, 24:23-34, doi:10.1144/GSL.SP.1986.024.01.04 --- V. Haak and R. Hutton: Electrical resistivity in continental lower crust / Geological Society, London, Special Publications, 24:35-49, doi:10.1144/GSL.SP.1986.024.01.05 --- J. Hall: The physical properties of layered rocks in deep continental crust / Geological Society, London, Special Publications, 24:51-62, doi:10.1144/GSL.SP.1986.024.01.06 --- D. S. Chapman: Thermal gradients in the continental crust / Geological Society, London, Special Publications, 24:63-70, doi:10.1144/GSL.SP.1986.024.01.07 --- J. F. Dewey: Diversity in the lower continental crust / Geological Society, London, Special Publications, 24:71-78, doi:10.1144/GSL.SP.1986.024.01.08 --- N. J. Kusznir and R. G. Park: Continental lithosphere strength: the critical role of lower crustal deformation / Geological Society, London, Special Publications, 24:79-93, doi:10.1144/GSL.SP.1986.024.01.09 --- K. Weber: Metamorphism and crustal rheology—implications for the structural development of the continental crust during prograde metamorphism / Geological Society, London, Special Publications, 24:95-106, doi:10.1144/GSL.SP.1986.024.01.10 --- S. A. F. Murrell: The role of deformation, heat, and thermal processes in the formation of the lower continental crust / Geological Society, London, Special Publications, 24:107-117, doi:10.1144/GSL.SP.1986.024.01.11 --- K. Fuchs: Intraplate seismicity induced by stress concentration at crustal heterogeneities—the Hohenzollern Graben, a case history / Geological Society, London, Special Publications, 24:119-132, doi:10.1144/GSL.SP.1986.024.01.12 --- K. Lambeck: Crustal structure and evolution of the central Australian basins / Geological Society, London, Special Publications, 24:133-145, doi:10.1144/GSL.SP.1986.024.01.13 --- R. W. Kay and S. M. Kay: Petrology and geochemistry of the lower continental crust: an overview / Geological Society, London, Special Publications, 24:147-159, doi:10.1144/GSL.SP.1986.024.01.14 --- J. Touret: Fluid inclusions in rocks from the lower continental crust / Geological Society, London, Special Publications, 24:161-172, doi:10.1144/GSL.SP.1986.024.01.15 --- S. R. Taylor and S.M. McLennan: The chemical composition of the Archaean crust / Geological Society, London, Special Publications, 24:173-178, doi:10.1144/GSL.SP.1986.024.01.16 --- R. L. Rudnick and S. R. Taylor: Geochemical constraints on the origin of Archaean tonalitic-trondhjemitic rocks and implications for lower crustal composition / Geological Society, London, Special Publications, 24:179-191, doi:10.1144/GSL.SP.1986.024.01.17 --- D. A. Carswell and S.J. Cuthbert: Eclogite facies metamorphism in the lower continental crust / Geological Society, London, Special Publications, 24:193-209, doi:10.1144/GSL.SP.1986.024.01.18 --- S. Moorbath and P.N. Taylor: Geochronology and related isotope geochemistry of high-grade metamorphic rocks from the lower continental crust / Geological Society, London, Special Publications, 24:211-220, doi:10.1144/GSL.SP.1986.024.01.19 --- B. F. Windley and J. Tarney: The structural evolution of the lower crust of orogenic belts, present and past / Geological Society, London, Special Publications, 24:221-230, doi:10.1144/GSL.SP.1986.024.01.20 --- C. Pin and J. D. Sills: Petrogenesis of layered gabbros and ultramafic rocks from Val Sesia, the Ivrea Zone, NW Italy: trace element and isotope geochemistry / Geological Society, London, Special Publications, 24:231-249, doi:10.1144/GSL.SP.1986.024.01.21 --- S. Robertson: Evolution of the late Archaean lower continental crust in southern West Greenland / Geological Society, London, Special Publications, 24:251-260, doi:10.1144/GSL.SP.1986.024.01.22 --- L. Schiøtte, D. Bridgwater, K.D. Collerson, A.P. Nutman, and A.B. Ryan: Chemical and isotopic effects of late Archaean high-grade metamorphism and granite injection on early Archaean gneisses, Saglek-Hebron, northern Labrador / Geological Society, London, Special Publications, 24:261-273, doi:10.1144/GSL.SP.1986.024.01.23 --- D. M. Shaw, J. J. Cramer, M. D. Higgins, and M. G. Truscott: Composition of the Canadian Precambrian shield and the continental crust of the earth / Geological Society, London, Special Publications, 24:275-282, doi:10.1144/GSL.SP.1986.024.01.24 --- M. Raith and P. Raase: High grade metamorphism in the granulite belt of Finnish Lapland / Geological Society, London, Special Publications, 24:283-295, doi:10.1144/GSL.SP.1986.024.01.25 --- R. C. Newton and E.C. Hansen: The South India-Sri Lanka high-grade terrain as a possible deep-crust section / Geological Society, London, Special Publications, 24:297-307, doi:10.1144/GSL.SP.1986.024.01.26 --- H.-G. Stosch, G. W. Lugmair, and H.A. Seck: Geochemistry of granulite-facies lower crustal xenoliths: implications for the geological history of the lower continental crust below the Eifel, West Germany / Geological Society, London, Special Publications, 24:309-317, doi:10.1144/GSL.SP.1986.024.01.27 --- H. Downes and A. Leyreloup: Granulitic xenoliths from the French Massif Central—petrology, Sr and Nd isotope systematics and model age estimates / Geological Society, London, Special Publications, 24:319-330, doi:10.1144/GSL.SP.1986.024.01.28 --- J. R. Broadhurst: Mineral reactions in xenoliths from the Colorado Plateau; implications for lower crustal conditions and fluid composition / Geological Society, London, Special Publications, 24:331-349, doi:10.1144/GSL.SP.1986.024.01.29 --- P. W. C. van Calsteren, N. B. W. Harris, C. J. Hawkesworth, M. A. Menzies, and N. W. Rogers: Xenoliths from southern Africa: a perspective on the lower crust / Geological Society, London, Special Publications, 24:351-362, doi:10.1144/GSL.SP.1986.024.01.30 --- W. L. Griffin and S. Y. O’Reilly: The lower crust in eastern Australia: xenolith evidence / Geological Society, London, Special Publications, 24:363-374, doi:10.1144/GSL.SP.1986.024.01.31

Anmerkung: Table of Contents: Copyright; Additional copies. - Foreword and acknowledgements. - Chapter 1. Cosmochemistry of the Rare Earth Elements: Condensation and Evaporation Processes / by William V. Boynton. - Introduction. - Meteorites. - Astrophysical context for interpretation of cosmochemical data. - Solar nebula. - Solar abundances. - Cosmochemical properties of the REE. - REE condensation reactions. - Activity coefficients. - Partial pressures. - Solid / gas distribution coefficients. - Why are the REE volatilities so different?. - Calculated REE patterns. - Early condensates. - Removing REE in the gas. - Comparison with meteoritic data. - Ultra-refractory component. - Group II inclusions. - FUN inclusions. - REE condensation as a function of oxygen fugacity. - Rims on CAI. - What have we learned from the REE?. - High temperatures were achieved in the solar nebula. - A very efficient mechanism for gas/dust separation existed in the solar nebula. - The high nebular temperatures existed for a long time. - A very intense, very brief, heat source also existed. - The solar nebula was a chaotic environment. - Summary. - Acknowledgements. - References. - Chapter 2. Radiogenic Isotope Geochemistry of Rare Earth Elements / by P. Jonathan Patchett. - Introduction. - Long-lived radioactive isotopes of Rare Earth Elements. - 138La-138Ce decay. - 147Sm-143Nd decay. - 176Lu-176Hf decay. - Cemical variations of La/Ce, Sm/Nd and Lu/Hf ratios. - Geochronological studies. - La-Ce and Lu-Hf chronology. - Sm-Nd chronology. - Defining bulk planetary isotopic evolution. - Isotopic study of planetary interiors. - The Moon. - The Earth. - Nd isotopes in studies of terrestrial crustal evolution. - Model Nd ages of continental crust. - Growth curves for the continental crust. - Origin of granitoids. - Nd isotopes and the sedimentary system. - Characterization of whole crustal terranes. - Crustal Lu-Hf isotopic studies. - Major unsolved problems. - Continental crustal growth curve. - Abundance of Archean continental crust. - Origin of mantle isotopic variations. - References. - Chapter 3. Partitioning of Rare Earth Elements between Major Silicate Minerals and Basaltic Melts / by Gordon A. McKay. - Introduction. - Usefulness of the REE for petrogenetic modelling. - Scope of this chapter. - Caveat. - How partition coefficients are measured. - Phenocryst/matrix studies of natural samples. - Experimental measurement of partition coefficients. - Basic experimental approach. - Equilibrium. - Percent level doping technique. - Beta-track mapping technique. - Other experimental approaches. - Henry's law: The applicability of percent-level doping results. - Factors governing mineral/melt partitioning. - Ionic size and charge of trace element. - Crystal field effects. - Cristallographic versus defect sites: The Henry's law question. - Phase compositions. - Oxidation state. - Thermodynamic relationships: Dependence of partitioning on temperature and composition. - Other predictive approaches. - Special applications. - Eu as an oxygen fugacity indicator. - Origin of the Eu anomaly in lunar mare basalts. - REE partition coefficient patterns for the major minerals. - Plagioclase. - Olivine. - Pyroxene. - Low-Ca pyroxene. - High-Ca pyroxene. - Garnet. - Future directions. - Acknowledgements. - References. - Chapter 4. An Approach to Trace Element Modeling Using a Simple Igneous System as an Example / by Gilbert N. Hanson. - Introduction. - Review of trace element equations. - Melting. - Fractional crystallization. - Melting versus fractional crystallization. - Essential structural constituents. - Example of petrogenetic approach. - Discussion and summary. - Acknowledgements. - References. - Chapter 5. Rare Earth Elements in Upper Mantle Rocks / by W. F. McDonough and Fredrick A. Frey. - Introduction. - Massive peridotites. - Massive peridotites: dominantly lherzolite Western Alps - Lanzo. - Western Alps -Baldissero, Balmuccia. - Eastern Liguria, Italy. - Western Liguria, Italy. - Eastern Pyrenees - France. - Ronda, Spain Effects of late stage alteration on REE. - What can be inferred about the melting process and the segregated melts?. - Massive peridotites: pyroxenite layers and veins and their wall rocks. - Amphibole-bearing pyroxenite veins. - Anhydrous pyroxenite layers. - How were the pyroxenite layers created? Evidence for multistage processes. - Implications for mantle enrichment processes (metasomatism). - Massive peridotites: dominantly harzburgite. - Oceanic peridotites. - Ultramafic xenoliths. - Group I spinel peridotites. - Garnet peridotites. - Pyroxenite and related xenoliths. - Models for REE abundance trends in peridotite xenoliths. - Megacrysts, minerals in xenoliths and damong inclusions. - Megacrysts. - Minerals in peridotites and pyroxenites. - Inclusions in diamonds. - Summary: comparison of peridotites from massifs and xenoliths and implications of REE data for Upper Mantle composition. - Acknowledgements. - References. - Chapter 6. Rare Earth Elements in Metamorphic Rocks / by Richard I. Grauch. - Introduction. - REE residence in metamorphic rocks. - REE mobility during metamorphism. - REE content of metamorphic rocks. - Suggestions for future work. - Acknowledgements. - References. - Chapter 7. Rare Earth Elements in Sedimentary Rocks: Influence of Provenance and Sedimentary Processes / by Scott M. McLennan. - Introduction. - Rare earth element properties and sedimentary rocks. - Cosmochemical considerations. - Geochemical considerations. - Aqueous geochemistry. - Normalizing and notation. - Sedimentary processes. - Weathering. - Diagenesis. - Sedimentary sorting. - REE and provenance studies. - Sedimentary rocks and crustal abundances. - Sedimentation and plate tectonics. - Archean sedimentary rocks and the Archean crust. - Archean greenstone belts. - REE in sedimentary rocks and crustal evolution. - Acknowledgements. - References. - Chapter 8. Aqueous Geochemistry of Rare Earth Elements / by Douglas G. Brookins. - Introduction. - The trivalent lanthanides (Ln III). - Types of complexes in solution. - Hydrolysis products. - Phosphate complexes. - Carbonate complexes. - Halide complexes. - Complexes with total dissolved sulfur. - Gadolinium-Terbium fractionation?. - Scandium and Yttrium. - Europium (II). - Cerium (IV). - Eh-pH diagrams. - Cerium. - Europium. - Other lanthanides. - Lanthanides in ocean waters. - Lanthanides and actinides. - Concluding remarks. - Acknowledgements. - References. - Chapter 9. Rare Earth Elements in Lunar Materials / by Larry A. Haskin. - Introduction. - The nature of planet moon. - The magma ocean hypothesis and its presumed products. - Lunar REE patterns. - Highland plutonic rocks. - Anorthosites. - Durâtes, troctolites, norites, and gabbros. - Lunar felsite (granite). - Highland volcanic rocks: KREEP. - Mare basalts. - Mare basalt sources as magma ocean products. - Assimilation of crusted material during basalt petrogenesis. - Glassy spherules. - Soils and breccias. - Caveat. - Acknowledgements. - References. - Chapter 10. Compositional and Phase Relations among Rare Earth Element Minerals / by Donald M. Burt. - Introduction. - Geochemical background. - Minerals. - Coupled substitutions. - Vector treatment. - Application to selected mineral groups. - Fluorides. - Carbonates. - Fluorocarbonates. - Monazite, xenotime, zircon, and related phases. - Apatites. - Florencite and related phases. - A-B oxides (niobates, tantalates, titanates, ferrites). - Fergusonitelbetafergusonite, ABO4. - Perovskite, ABO3. - Aeschyniteleuxenite, AB2O6. - Pyrochlore, A1-2B2O6(O,F,OH). - Allanite. - Titanite. - Garnet. - Gadolinite. - Chevkinite/perrierite. - Element distributions: acid-base relations. - Summary. - Acknowledgemen

Anmerkung: Continental Rift Basins --- H. G. Reading: African Rift tectonics and sedimentation, an introduction / Geological Society, London, Special Publications, 25:3-7, doi:10.1144/GSL.SP.1986.025.01.01 --- A. T. Grove: Geomorphology of the African Rift System / Geological Society, London, Special Publications, 25:9-16, doi:10.1144/GSL.SP.1986.025.01.02 --- African Rift Basin Development --- J. D. Fairhead: Geophysical controls on sedimentation within the African Rift Systems / Geological Society, London, Special Publications, 25:19-27, doi:10.1144/GSL.SP.1986.025.01.03 --- B. R. Rosendahl, D. J. Reynolds, P. M. Lorber, C. F. Burgess, J. McGill, D. Scott, J. J. Lambiase, and S. J. Derksen: Structural expressions of rifting: lessons from Lake Tanganyika, Africa / Geological Society, London, Special Publications, 25:29-43, doi:10.1144/GSL.SP.1986.025.01.04 --- B. H. Baker: Tectonics and volcanism of the southern Kenya Rift Valley and its influence on rift sedimentation / Geological Society, London, Special Publications, 25:45-57, doi:10.1144/GSL.SP.1986.025.01.05 --- L. A. J. Williams and G. R. Chapman: Relationships between major structures, salic volcanism and sedimentation in the Kenya Rift from the equator northwards to Lake Turkana / Geological Society, London, Special Publications, 25:59-74, doi:10.1144/GSL.SP.1986.025.01.06 --- C. J. Swain, N. J. Skinner, and M. A. Khan: Depth to metamorphic basement in the Koobi Fora region from seismic and gravity data / Geological Society, London, Special Publications, 25:75-84, doi:10.1144/GSL.SP.1986.025.01.07 --- R. T. Watkins: Volcano-tectonic control on sedimentation in the Koobi Fora sedimentary basin, Lake Turkana / Geological Society, London, Special Publications, 25:85-95, doi:10.1144/GSL.SP.1986.025.01.08 --- Siliciclastic, Chemical, Pedogenic and Organic Sediments in Contemporary Rift Environments --- I. Reid and L. E. Frostick: Slope processes, sediment derivation and landform evolution in a rift valley basin, northern Kenya / Geological Society, London, Special Publications, 25:99-111, doi:10.1144/GSL.SP.1986.025.01.09 --- L. E. Frostick and I. Reid: Evolution and sedimentary character of lake deltas fed by ephemeral rivers in the Turkana basin, northern Kenya / Geological Society, London, Special Publications, 25:113-125, doi:10.1144/GSL.SP.1986.025.01.10 --- A. S. Cohen, D. S. Ferguson, P. M. Gram, S. L. Hubler, and K. W. Sims: The distribution of coarse-grained sediments in modern Lake Turkana, Kenya: implications for clastic sedimentation models of rift lakes / Geological Society, London, Special Publications, 25:127-139, doi:10.1144/GSL.SP.1986.025.01.11 --- R. F. Yuretich: Controls on the composition of modern sediments, Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:141-152, doi:10.1144/GSL.SP.1986.025.01.12 --- P. I. Abell and J. P. McClory: Sedimentary carbonates as isotopic marker horizons at Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:153-158, doi:10.1144/GSL.SP.1986.025.01.13 --- R. W. Renaut, J. J. Tiercelin, and R. B. Owen: Mineral precipitation and diagenesis in the sediments of the Lake Bogoria basin, Kenya Rift Valley / Geological Society, London, Special Publications, 25:159-175, doi:10.1144/GSL.SP.1986.025.01.14 --- H. P. Eugster: Lake Magadi, Kenya: a model for rift valley hydrochemistry and sedimentation? / Geological Society, London, Special Publications, 25:177-189, doi:10.1144/GSL.SP.1986.025.01.15 --- R. Crossley: Sedimentation by termites in the Malawi Rift Valley / Geological Society, London, Special Publications, 25:191-199, doi:10.1144/GSL.SP.1986.025.01.16 --- J. Casanova: East African Rift stromatolites / Geological Society, London, Special Publications, 25:201-210, doi:10.1144/GSL.SP.1986.025.01.17 --- A. Hamilton and D. Taylor: Mire sediments in East Africa / Geological Society, London, Special Publications, 25:211-217, doi:10.1144/GSL.SP.1986.025.01.18 --- Sedimentary History of African Rift Basins --- J. J. Tiercelin: The Pliocene Hadar Formation, Afar depression of Ethiopia / Geological Society, London, Special Publications, 25:221-240, doi:10.1144/GSL.SP.1986.025.01.19 --- M. A. J. Williams, Getaneh Assefa, and D. A. Adamson: Depositional context of Plio-Pleistocene hominid-bearing formations in the Middle Awash valley, southern Afar Rift, Ethiopia / Geological Society, London, Special Publications, 25:241-251, doi:10.1144/GSL.SP.1986.025.01.20 --- R. Bonnefille, C. Robert, A. M. Lezine, G. Perinet, G. Delibrias, C. Elenga, J. P. Herbin, and J. J. Tiercelin: Palaeoenvironment of Lake Abijata, Ethiopia, during the past 2000 years / Geological Society, London, Special Publications, 25:253-265, doi:10.1144/GSL.SP.1986.025.01.21 --- P. G. Williamson and R. J. G. Savage: Early rift sedimentation in the Turkana basin, northern Kenya / Geological Society, London, Special Publications, 25:267-283, doi:10.1144/GSL.SP.1986.025.01.22 --- A. Hill, G. Curtis, and R. Drake: Sedimentary stratigraphy of the Tugen Hills, Baringo, Kenya / Geological Society, London, Special Publications, 25:285-295, doi:10.1144/GSL.SP.1986.025.01.23 --- C. K. Nyamweru: Quaternary environments of the Chalbi basin, Kenya: sedimentary and geomorphological evidence / Geological Society, London, Special Publications, 25:297-310, doi:10.1144/GSL.SP.1986.025.01.24 --- R. B. Owen and R. W. Renaut: Sedimentology, stratigraphy and palaeoenvironments of the Holocene Galana Boi Formation, NE Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:311-322, doi:10.1144/GSL.SP.1986.025.01.25 --- A. Vincens, J. Casanova, and J. J. Tiercelin: Palaeolimnology of Lake Bogoria (Kenya) during the 4500 BP high lacustrine phase / Geological Society, London, Special Publications, 25:323-330, doi:10.1144/GSL.SP.1986.025.01.26 --- N. Thouveny and M. Taieb: Preliminary magnetostratigraphic record of Pleistocene deposits, Lake Natron Basin, Tanzania / Geological Society, London, Special Publications, 25:331-336, doi:10.1144/GSL.SP.1986.025.01.27 --- Sedimentation and the Preservation of Fossil Faunas --- R. L. Hay: Role of tephra in the preservation of fossils in Cenozoic deposits of East Africa / Geological Society, London, Special Publications, 25:339-344, doi:10.1144/GSL.SP.1986.025.01.28 --- M. Pickford: Sedimentation and fossil preservation in the Nyanza Rift System, Kenya / Geological Society, London, Special Publications, 25:345-362, doi:10.1144/GSL.SP.1986.025.01.29 --- C. Denys, J. Chorowicz, and J. J. Tiercelin: Tectonic and environmental control on rodent diversity in the Plio-Pleistocene sediments of the African Rift System / Geological Society, London, Special Publications, 25:363-372, doi:10.1144/GSL.SP.1986.025.01.30

Anmerkung: Contents: Introduction. - NE Greenland. Previous investigations of subfossil and extant freshwater diatoms. - Klaresø. - Sølejren. - Present investigations. - Vandsøen. - The taxa. - Taxonomical remarks. - W Greenland. Previous investigations of the subfossil diatom flora. - Johannes Iversen Sø. - Gytjesø. - Sârdlup tîmane taserssuaq. - Kigssaviat taserssua. - Galium Kær. - Spongilla sø. - Present investigations. - Qeqertat, Inglefield Bredning. - The taxa. - Taxonomical remarks. - Ecological remarks. - Eqalunguit, Disko. - The taxa. - Changes in pH of the environment. - Taxonomical remarks. - Langesø and Rundesø, Tugtuligssuaq. - The taxa. - Changes in pH of the environment. - Taxonomical remarks. - Acknowledgements. - References.