ALBERT

Note: TABLE OF CONTENTS FOREWORD 1 INTRODUCTION AND SURVEY OF RADIOANALYSIS 1.1 Introduction 1.2 Principles of radioanalysis 1.2.1 General 1.2.2 Glossary of basic terms and concepts 1.3 Scope and contents References 2 SAMPLING AND PRECONCENTRATION 2.1 Survey and principles 2.1.1 Sampling 2.1.2 From sample to aliquot 2.1.2 .1 General 2.1.2.2 Granular material 2.1.2.3 Water 2.2 Sampling procedures 2.2.1 Rocks 2.2.2 Sediments and pore water 2.2.2.1 Sediments 2.2.2.2 Pore water 2.2.3 Fresh and ground water and related particulate matter 2.2.3.1 Fresh water 2.2.3.2 Ground water 2.2.4 Sea- and estuarine water and related particulate matter and sediments 2.2.4.1 Water 2.2.4.2 Particulate matter 2.2.4.3 Sediment cores 2.2.5 Rainwater and dry deposition 2.2.5.1 Rainwater 2.2.5.2 Dry deposition 2.3 Preconcentration 2.3.1 General 2.3.2 Fresh water and rainwater 2.3.3 Seawater 2.3.3.1 Survey 2.3.3.2 Scavenging procedures 2.3.3.3 Ion-exchange and solvent extraction procedures for Th, U and Pu 2.4 Reference materials 2.4.1 Principle 2.4.2 Survey of reference materials and SRM's 2.4.3 Use of reference materials and SRM's 2.4.3.1 Reference materials 2.4.3.2 SRM's 2.4.4 Reference materials for environmental radioactivity and isotopic ratio measurements References 3 INSTRUMENTAL RADIOANALYSIS OF GEOLOGICAL MATERIALS 3.1 Survey 3.1.1 Activation analysis 3.1.2 Photon activation analysis 3.1.3 Charged particle activation analysis (CPAA and HIAA) 3.1.4 Prompt techniques 3.1.4.1 Neutron induced prompt capture y-ray measurement (PGAA) 3.1.4.2 Proton induced X-ray emission (PIXE) 3.2 Principles 3.2.1 Principles of instrumental neutron activation analysis (INAA) 3.2.1.1 Activation 3.2.1.2 Standardization and flux monitoring 3.2.1.3 Count rate 3.2.1.4 Counting result 3.2.1.5 Sensitivity 3.2.1.6 Characteristic parameters of the three types of neutron activation 3.2.2 Delayed neutron counting 3.2.3 Activation analysis with high-energy photons 3.2.4 Principles of charged particle activation analysis (CPAA) 3.2.5 Principles of prompt techniques 3.2.5.1 Prompt capture gamma-ray measurements (PGAA) 3.2.5.2 Proton induced X-ray emission (PIXE) 3.3 Practical aspects of INAA, IPAA and PIXE 3.3.1 The radioanalytical laboratory 3.3.2 Irradiation facilities for NAA 3.3.2.1 Nuclear reactors 3.3.2.2 Rabbit systems 3.3.2.3 Epithermal activation 3.3.2.4 Neutron generators 3.3.2.5 Delayed neutron counting 3.3.3 Routing of INAA 3.3.4 Practical aspects of IPAA 3.3.5 Practical aspects of CPAA 3.3.6 Practical aspects of PGAA 3.3.7 Practical aspects of PIXE and PIGE 3.3.7.1 Proton induced X-ray emission (PIXE) 3.3.7.2 Proton induced prompt gamma emission (PIGE) 3.3.8 The error-budget 3.4 Multielement determination by INAA based on gamma-ray spectrometry 3.4.1 General 3.4.2 A practical procedure for INAA of silicates based on thermal neutrons 3.4.2.1 Preparation of sample and standards for irradiation 3.4.2.2 Irradiation and measurements 3.4.2.3 Conclusion 3.4.3 Rocks and ores 3.4.4 Meteorites 3.4.5 Sediments 3.4.6 Air-dust 3.4.7 Coal and ash 3.5 Instrumental neutron activation analysis of the lanthanides 3.6 Instrumental neutron activation analysis of uranium 3.7 Applications of instrumental neutron activation analysis with an isotopic neutron source and a 14.5 MeV neutron generator 3.7.1 Survey 3.7.2 INAA with isotopic neutron sources in the radiochemical laboratory 3.7.3 INAA with the neutron generator in the radiochemical laboratory 3.7.4. Conclusion 3.8 Applications of IPAA to silicates 3.9 Applications of IPAA to silicates 3.10 Applications of prompt techniques 3.10.1 Applications of PGAA and PIGE 3.10.2 Applications of PIXE References 4 NEUTRON ACTIVATION ANALYSIS INCLUDING CHEMICAL SEPARATION OF GEOLOGICAL SAMPLES 4.1 Introduction 4.2 Dissolution procedures and separation schemes 4.3 Lanthanides 4.3.1 General 4.3.2 Present procedures 4.4 Noble metals 4.4.1 General 4.4.2 Separation schemes 4.4.3 Single element determinations 4.5 Uranium and thorium 4.5.1 General 4.5.2 Procedures 4.5.2.1 Uranium 4.5.2.2 Thorium 4.6 Other elements 4.6.1 General 4.6.2 Alkali metals 4.6.3 Earth alkali metals 4.6.4 Copper and zinc 4.6.5 Mercury 4.6.6 Indium 4.6.7 Thallium 4.6.8 Tin 4.6.9 Elements with volatile halides and hydrides: Ga, Ge, As, Se, Sb, Te 4.6.9.1 Survey 4.6.9.2 Procedures 4.6.10 Vanadium and tantalum 4.6.11 Chromium 4.6.12 Molybdenum andtungsten 4.6.13 Halogens References 5 RADIOANALYSIS OF WATER 5.1 Survey 5.2 Elemental analysis of fresh water 5.2.1 Survey 5.2.2 Routine elemental analysis of rainwater 5.2.2.1 Sampling and sample treatment 5.2.2.2 Irradiation and processing of aliquots 5.2.2.3 Results 5.2.3 Special elemental analysis of rainwater 5.2.3.1 Bromine and iodine by isotopic exchange 5.2.3.2 Iodate by anion-exchange 5,2.3.3 Silver by cation-exchange and subsequent INAA 5.2.4 Routine elemental analysis of surface and ground water 5.2.4,1 General 5.2.4.2 Routine procedures 5.3 Elemental analysis of seawater 5.3.1 Survey 5.3.2 Routine elemental analysis of seawater by preconcentration on a "Chelex"-column and INAA 5.3.3 Routine elemental analysis of seawater by preconcentration on active carbon 5.3.3,1 General 5.3.3.2 Arsenic and antimony 5,3.3.3 Vanadium, iodine, tellurium and uranium 5.3.3.4 Total antimony, molybdenum and tungsten 5,3.3.5 Chromate, cobalt, nickel and tetravalent selenium 5.3.3,6 Mercury 5.3.4 Special elemental analysis of seawater 5.3.4.1 General 5.3.4.2 Rubidium and cesium 5.3.4.3 Strontium 5.3.4.4 Manganese and zinc 5,3,4.5 Tin 5.3.4.6 Nickel 5.3.4.7 Noble metals 5.3.4.8 Mercury References 6 RADIOTRACER EXPERIMENTS IN THE LABORATORY 6.1 Survey 6.2 Basic equations of radiotracer experiments in closed systems 6.3 Isotopic exchange in solution 6.4 Isotopic exchange between a solution and a solid 6.5 Reactions in solution 6.6 Reaction between a solution and a solid 6.6.1 Dissolution 6.6. 2 Leaching 6.6.3 Diffusion from solids 6.6.4 Sorption 6.7 Migration studies in solid-liquid systems 6.7.1 General 6.7.2 The determina tion of distribution coefficients in seawater 6.7.3 Radioecological column experiments in the laboratory 6.7.4 Laboratory experiments on very slow migration; the case of the actinides References 7 RADIOTRACER EXPERIMENTS IN THE FIELD 7.1 Survey 7.2 Principles of (radio)tracer experiments in open systems with flow in one direction 7.2.1 Basic concepts 7.2.2 Measurement of linear velocity and flow rate 7.2.3 Measurement of axial dispersion 7.2.4 Measurement of sedimentation rates 7.2.4.1 General 7.2.4.2 Lead-210 7.2.4.3 Cesium-137 7.2.5 Measurement of the degree of sediment mixing 7.2.6 Measurement of filtration velocity in case of horizontal groundwater flow 7.2.7 Measurement of groundwater flow in the unsaturated zone by radiocarbon 7.3 Principles of (radio)tracer experiments in open systems with flow in various directions 7.3.1 Survey 7.3.2 Measurement of sand or silt flow rates on the sea floor 7.3.3 Radiotracer measurements in water movement in the saturated zone 7.3.4 Radiotracer measurement on water movement in the unsaturated zone 7.4 Practical aspects of radiotracer experiments in the field 7.4.1 Preparation 7.4.2 Performance 7.4.3 Calculations References 8 MEASUREMENT OF NATURAL RADIOACTIVITY 8.1 General 8.1.1 Survey 8.1.2 Concentrations 8.1.3 Detection by direct measurement ofradiation 8.1.3.1 In situ measurements of uranium and thorium 8.1.3.2 Laboratory measurements 8.1.4 Detection by secundary effects 8.2 Measurement of low-level gamma-activities 8.2.1 General 8.2.2 A low background system (LBS) 8.2.2.1 Set-up 8.2.2.2 Limits of detection and determination 8.2.2.3 Processing of data 8.2.3. Anti-coincidence (AC)-counting 8.3 Measurements in rocks and sediments 8.3.1 General 8.3.2 Radon measurements (emanometry) 8.3.3 Age dating by measurement of disequilibrium in the natural decay-series 8.3.3.1 General 8.3.3.2 234U-230Th 8.3.3.3 235U-231Pa 8.3.3.4 232Th-230Th 8.3.3.5 230Th-231Pa 8.3.4 Environmental laboratory measurements on naturally occurring radionucl

Note: Contents: List of Figures. - List of Tables. - 1. Introduction. - a. An Overview of Principal Component Analysis (PCA). - b. Outline of the Book. - c. A Brief History of PCA. - d. Acknowledgments. - 2. Algebraic Foundations of PCA. - a. Introductory Example: Bivariate Data Sets. - Monterey, California air temperatures. - Centering and rotating the data set. - Variances in the rotated frame. - Principal angles. - Principal variances. - Principal covariance. - Principal directions. - Principal components; principal directions as basis vectors. - Matrix representation. - The PCA property. - Invariance of the total variance under rotation. - Principal variances for standardized data sets. - PCA and estimates of the statistical parameters of normal populations. - PCA and the construction of Monte Carlo experiments. - Eigenvalues and eigenvectors of the covariance and scatter matrices. - b. Principal Component Analysis: Real-valued Scalar Fields. - t-centering the data set. - The scatter probe and the scatter matrix. - The eigenstructures of PCA. - The basic data set representations; analysis and synthesis formulas. - The PCA property. - Second-order properties of PCA; the total scatter . - The singular value decomposition (SVD) of a data set. - Second-order properties of PCA; correlations. - PCA characterized by the PCA property. - The asymptotic PCA property and dynamical systems. - PCA of spatial composites of data sets. - PCA of temporal composites of data sets. - c. Principal Component Analysis: Complex-valued Scalar Fields, and Beyond. - PCA of complex-valued data sets (C-PCA). - Complex algebra conventions. - The scatter probe and scatter matrix for C-PCA. - Derivation of the eigenstructures of C-PCA. - The fundamental formulas of C-PCA. - Generalization of PCA to quaternion-valued data sets (Q-PCA). - Matrix representations of complex and quaternion numbers. - PCA of matrix-valued data sets (M-PCA). - Reduction of M-PCA to C-PCA form. - d. Bibliographic Notes and Miscellaneous Topics. - Alternate interpretation of the scatter probe. - Numerical calculations of eigenstructures of a scatter matrix. - Some elementary properties of eigenstructures of a scatter matrix. - Sample space vs. state space: choosing the dual computation. - PCA for continuous domains. - PCA for continuous domains: the viewpoint of empirical orthogonal functions. - The sixteen possible domain pairs for PCA: abstract PCA. - 3. Dynamical Origins of PCA. - a. One-dimensional Hannonic Motion. - A spring-linked-mass model; general form. - A spring-linked-mass model; special form. - A numerical example of the asymptotic PCA property. - Further investigations of the asymptotic PCA property and of EOF's. - b. Two-dimensional Wave Motion. - Solution of a two-dimensional damped-wave model. - Demonstration of the asymptotic PCA property (forcing and friction absent). - Demonstration of the asymptotic PCA property (forcing and friction present). - Physical basis for eigenframe rotations. - c. Dynamical Origins of Linear Regression (LR). - From continuous to discrete solutions to the regression model. - The linear regression procedure. - Comparison of LRA and PCA. - d. Random Processes and Karhunen-Loeve Analysis. - Origins of random processes in linear settings. - Karhunen-Loeve representation of random data sets and comparison with PCA. - e. Stationary Processes and PCA. - Derivation of the PCA representation of a one-dimensional stationary process via a simple wave model. - Connections between PCA and stationary processes: the case of one dimension. - Connections between PGA and stationary processes: extension to two dimensions. - f. Bibliographic Notes. - 4. Extensions of PCA to Multivariate Fields. - a. Categories of Data and Modes of Analysis. - Examples. - Generalized notation: the concepts of "individual" and "variable" in PCA. - b. Local PCA of a General Vector Field. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - Examples. - c. Global PCA of a General Vector Field: Time-Modulation Form. - The PGA formalism. - Squared correlations. - Degeneracy of global PGA to local PGA. - Variational origin of the scatter matrix. - d. Global PCA of a General Vector Field: Space-Modulation Form. - The PCA formalism. - Squared correlations. - Variational origin of the scatter matrix. - e. PCA of Spectral Components of a General Vector Field. - Fourier analysis of the vector field components. - The scatter matrix in the spectral setting. - Example of spectral PCA of a windfield. - f. Bibliographic Notes and Miscellaneous Topics. - The eight modes of analysis and Cattell's classifications. - Time-modulation PGA as a special case of matrix-valued PGA. - Applications to the PGA of wind fields. - Distinction between time-modulation PGA and complex PGA. - Applications to the PGA of storm tracks. - 5. Selection Rules for PCA. - a. Random Reference Data Sets. - b. Dynamical Origins of the Dominant-Variance Selection Rules. - A dynamical model. - Rationale for selection rules. - c. Rule A4. - Statistical basis and discussion. - Choice of λ0. - d. Rule N . - Statistical basis and discussion. - Adjustments for correlated data: effective sample size. - Asymptotic eigenvalues for large data sets. - e. Rule M. - f. Comments on Dominant-Variance Rules . - g. Dynamical Origins of the Time-History Selection Rules. - h. Rule KS2. - The white spectrum and the cumulative periodogram. - Statement of Rule KS2. - i. Rules AMPλ. - Fisher's test. - Siegel's test. - Statement of Rules AMPλ. - j. Rule Q. - k. Selection Rules for Vector-Valued Fields. - Local PCA rules. - Global PCA (time-modulated) rules. - Global PCA (space-modulated) rules. - I. A Space-map Selection Rule. - Canonic direction angles. - Differential relations between unit vectors and canonic direction angles. - An r-tile metric for comparing canonic direction angles. - Statistical aspects: critical values for class errors. - Statement of the selection rule. - m. Bibliographic Notes and Miscellaneous Topics. - Puzzles and problems underlying Rule N; the logarithmic eigenvalue curve. - Numerical intractability of the classical formulas for the eigenvalues of a random matrix. - Monte Carlo approaches to the eigenvalue distribution problem. - Comparison of Monte Carlo methods and asymptotic formulas for eigenvalue distributions. - The problem of closely spaced eigenvalues; tests for equal eigenvalues. - The generalized basis for dominant variance selection rules. - Parallel work in atomic physics. - 6. Factor Analysis (FA) and PCA. - a. Comparison of PCA, LRA, and FA. - Similarities between PCA, LRA, and FA. - Dissimilarities between PCA, LRA, and FA. - The usual algebraic form of FA; its PC and LR interpretations. - b. The Central Problems of FA. - The matrix formulation of FA. - The detailed sub-problems of FA. - c. Bibliographic Notes. - The selection rule problem in FA. - The parameter estimation problem in FA. - 7. Diagnostic Procedures via PCA and FA. - a. Dual Interpretations of a Data Set: State Space and Sample Space. - b. Interpreting E-frames in PCA State Space. - Example: graphical display of eigenvectors. - Rationales for interpreting eigenmaps and time series. - PCA as a means, rather than an end. - c. Informative and Uninformative E-frames in PCA State Space. - d. Rotating E-frames in PCA State Space (varimax). - A two-dimensional example of the varimax procedure. - The general varimax procedure. - The loss of the PCA property for rotated E-frames. - e. Projections onto E-frames in PCA State Space (procrustes). - Derivation of the procrustes technique. - Some observations on the generality of the procrustes technique. - f. Interpreting A-frames in PCA Sample Space. - g. Rotating A-frames in PCA Sample Space (varimax). - h. Projections onto A-frames in PCA Sample Space (procrustes). - i. Detecting Clusters of Points in PCA State or Sample Spaces. - Minimal spanning trees. - Defining cluster pairs, and te