Preface ix
1Introduction 1
1.1 Geo and chronologies 1
1.2 The ages of the age of the earth 2
1.3 Radioactivity 7
1.4 The objectives and significance of geochronology 13
1.5 References 15
2Foundations of radioisotopic dating 17
2.1 Introduction 17
2.2 The delineation of nuclear structure 17
2.3 Nuclear stability 19
2.3.1 Nuclear binding energy and the mass defect 19
2.3.2 The liquid drop model for the nucleus 20
2.3.3 The nuclear shell model 22
2.3.4 Chart of the nuclides 23
2.4 Radioactive decay 23
2.4.1 Fission 23
2.4.2 Alpha-decay 24
2.4.3 Beta-decay 25
2.4.4 Electron capture 25
2.4.5 Branching decay 25
2.4.6 The energy of decay 25
2.4.7 The equations of radioactive decay 27
2.5 Nucleosynthesis and element abundances in the solar system 30
2.5.1 Stellar nucleosynthesis 30
2.5.2 Making elements heavier than iron:s- r-, p-process nucleosynthesis 31
2.5.3 Element abundances in the solar system 32
2.6 Origin of radioactive isotopes 33
2.6.1 Stellar contributions of naturally occurring radioactive isotopes 33
2.6.2 Decay chains 33
2.6.3 Cosmogenic nuclides 33
2.6.4 Nucleogenic isotopes 35
2.6.5 Man-made radioactive isotopes 36
2.7 Conclusions 36
2.8 References 36
3Analytical methods 39
3.1 Introduction 39
3.2 Sample preparation 39
3.3 Extraction of the element to be analyzed 40
3.4 Isotope dilution elemental quantification 42
3.5 Ion exchange chromatography 43
3.6 Mass spectrometry 44
3.6.1 Ionization 46
3.6.2 Extraction and focusing of ions 49
3.6.3 Mass fractionation 50
3.6.4 Mass analyzer 52
3.6.5 Detectors 57
3.6.6 Vacuum systems 60
3.7 Conclusions 62
3.8 References 63
4Interpretational approaches: making sense of data 65
4.1 Introduction 65
4.2 Terminology and basics 65
4.2.1 Accuracy, precision, and trueness 65
4.2.2 Random versus systematic, uncertainties versus errors 66
4.2.3 Probability density functions 67
4.2.4 Univariate (one-variable) distributions 68
4.2.5 Multivariate normal distributions 68
4.3 Estimating a mean and its uncertainty 69
4.3.1 Average values: the sample mean, sample variance, and sample standard deviation 70
4.3.2 Average values: the standard error of the mean 70
4.3.3 Application: accurate standard errors for mass spectrometry 71
4.3.4 Correlation, covariance, and the covariance matrix 73
4.3.5 Degrees of freedom, part 1: the variance 73
4.3.6 Degrees of freedom, part 2: Studentstdistribution 73
4.3.7 The weighted mean 75
4.4 Regressing a line 76
4.4.1 Ordinary least-squares linear regression 76
4.4.2 Weighted least-squares regression 77
4.4.3 Linear regression with uncertainties in two or more variables (York regression) 77
4.5 Interpreting measured data using the mean square weighted deviation 79
4.5.1 Testing a weighted means assumptions using its MSWD 79
4.5.2 Testing a linear regressions assumptions using its MSWD 80
4.5.3 My data set has a high MSWDwhat now? 81
4.5.4 My data set has a really low MSWDwhat now? 81
4.6 Conclusions 82
4.7 Bibliography and suggested readings 82
5Diffusion and thermochronologic interpretations 83
5.1 Fundamentals of heat and chemical diffusion 83
5.1.1 Thermochronologic context 83
5.1.2 Heat and chemical diffusion equation 83
5.1.3 Temperature dependence of diffusion 85
5.1.4 Some analytical solutions 86
5.1.5 Anisotropic diffusion 86
5.1.6 Initial infinite concentration (spike) 86
5.1.7 Characteristic length and time scales 86
5.1.8 Semi-infinite media 87
5.1.9 Plane sheet, cylinder, and sphere 88
5.2 Fractional loss 88
5.3 Analytical methods for measuring diffusion 89
5.3.1 Step-heating fractional loss experiments 89
5.3.2 Multidomain diffusion 92
5.3.3 Profile characterization 93
5.4 Interpreting thermal histories from thermochronologic data 94
5.4.1 End-members of thermochronometric date interpretations 94
5.4.2 Equilibrium dates 95
5.4.3 Partial retention zone 95
5.4.4 Resetting dates 96
5.4.5 Closure 97
5.5 From thermal to geologic histories in low-temperature thermochronology: diffusion and advection of heat in the earths crust 105
5.5.1 Simple solutions for one- and two-dimensional crustal thermal fields 107
5.5.2 Erosional exhumation 108
5.5.3 Interpreting spatial patterns of erosion rates 109
5.5.4 Interpreting temporal patterns of erosion rates 113
5.5.5 Interpreting paleotopography 113
5.6 Detrital thermochronology approaches for understanding landscape evolution and tectonics 116
5.7 Conclusions 121
5.8 References 123
6RbSr, SmNd, and LuHf 127
6.1 Introduction 127
6.2 History 127
6.3 Theory, fundamentals, and systematics 128
6.3.1 Decay modes and isotopic abundances 128
6.3.2 Decay constants 128
6.3.3 Data representation 129
6.3.4 Geochemistry 131
6.4 Isochron systematics 133
6.4.1 Distinguishing mixing lines from isochrons 136
6.5 Diverse chronological applications 137
6.5.1 Dating diagenetic minerals in clay-rich sediments 137
6.5.2 Direct dating of ore minerals 138
6.5.3 Dating of mineral growth in magma chambers 140
6.5.4 Garnet SmNd and LuHf dating 141
6.6 Model ages 143
6.6.1 Model ages for volatile depletion 144
6.6.2 Model ages for multistage source evolution 146
6.7 Conclusion and future directions 148
6.8 References 148
7ReOs and PtOs 151
7.1 Introduction 151
7.2 Radioactive systematics and basic equations 151
7.3 Geochemical properties and abundance in natural materials 154
7.4 Analytical challenges 154
7.5 Geochronologic applications 156
7.5.1 Meteorites 156
7.5.2 Molybdenite 158
7.5.3 Other sulphides, ores, and diamonds 159
7.5.4 Organic-rich sediments 161
7.5.5 Komatiites 161
7.5.6 Basalts 163
7.5.7 Dating melt extraction from the mantleReOs model ages 164
7.6 Conclusions 167
7.7 References 167
8UThPb geochronology and thermochronology 171
8.1 Introduction and background 171
8.1.1 Decay of U and Th to Pb 171
8.1.2 Dating equations 173
8.1.3 Decay constants 173
8.1.4 Isotopic composition of U 174
8.2 Chemistry of U, Th, and Pb 176
8.3 Data visualization, isochrones, and concordia plots 176
8.3.1 Isochron diagrams 176
8.3.2 Concordia diagrams 177
8.4 Causes of discordance in the UThPb system 178
8.4.1 Mixing of different age domains 180
8.4.2 Pb loss 180
8.4.3 Intermediate daughter product disequilibrium 182
8.4.4 Correction for initial Pb 183
8.5 Analytical approaches to UThPb geochronology 184
8.5.1 Thermal ionization mass spectrometry 185
8.5.2 Secondary ion mass spectrometry 187
8.5.3 Laser ablation inductively coupled plasma mass spectrometry 188
8.5.4 Elemental UThPb geochronology by EMP 188
8.6 Applications and approaches 188
8.6.1 The age of meteorites and of Earth 188
8.6.2 The Hadean 192
8.6.3PTtpaths of metamorphic belts 194
8.6.4 Rates of crustal magmatism from UPb geochronology 197
8.6.5 UPb geochronology and the stratigraphic record 200
8.6.6 Detrital zircon geochronology 202
8.6.7 UPb thermochronology 204
8.6.8 Carbonate geochronology by the UPb method 209
8.6.9 UPb geochronology of baddeleyite and paleogeographic reconstructions 211
8.7 Concluding remarks 212
8.8 References 212
9The KAr and40Ar/39Ar systems 231
9.1 Introduction and fundamentals 231
9.2 Historical perspective 232
9.3 KAr dating 233
9.3.1 Determining40Ar 233
9.3.2 Determining 40K 234
9.440Ar/39Ar dating 234
9.4.1 Neutron activation 234
9.4.2 Collateral effects of neutron irradiation 237
9.4.3 Appropriate materials 240
9.5 Experimental approaches and geochronologic applications 242
9.5.1 Single crystal fusion 242
9.5.2 Intragrain age gradients 243
9.5.3 Incremental heating 243
9.6 Calibration and accuracy 248
9.6.140K decay constants 248
9.6.2 Standards 249
9.6.3 So which is the best calibration? 250
9.6.4 Interlaboratory issues 252
9.7 Concluding remarks 252
9.7.1 Remaining challenges 252
9.8 References 253
10Radiation-damage methods of geochronology and thermochronology 259
10.1 Introduction 259
10.2 Thermal and optically stimulated luminescence 259
10.2.1 Theory, fundamentals, and systematics 259
10.2.2 Analysis 260
10.2.3 Fundamental assumptions and considerations for interpretations 264
10.2.4 Applications 265
10.3 Electron spin resonance 266
10.3.1 Theory, fundamentals, and systematics 266
10.3.2 Analysis 267
10.3.3 Fundamental assumptions and considerations for interpretations 268
10.3.4 Applications 269
10.4 Alpha decay, alpha-particle haloes, and alpha-recoil tracks 270
10.4.1 Theory, fundamentals, and systematics 270
10.5 Fission tracks 273
10.5.1 History 273
10.5.2 Theory, fundamentals, and systematics 273
10.5.3 Analyses 274
10.5.4 Fission-track age equations 276
10.5.5 Fission-track annealing 278
10.5.6 Track-length analysis 280
10.5.7 Applications 281
10.6 Conclusions 284
10.7 References 285
11The (UTh)/He system 291
11.1 Introduction 291
11.2 History 291
11.3 Theory, fundamentals, and systematics 292
11.4 Analysis 294
11.4.1 Conventional analyses 294
11.4.2 Other analytical approaches 306
11.4.3 Uncertainty and reproducibility in (UTh)/He dating 307
11.5 Helium diffusion 310
11.5.1 Introduction 310
11.5.2 Apatite 311
11.5.3 Zircon 322
11.5.4 Other minerals 332
11.5.5 A compilation of He diffusion kinetics 334
11.64He/3He thermochronometry 342
11.6.1 Method requirements and assumptions 346
11.7 Applications and case studies 348
11.7.1 Tectonic exhumation of normal fault footwalls 348
11.7.2 Paleotopography 349
11.7.3 Orogen-scale trends in thermochronologic dates 350
11.7.4 Detrital double-dating and sediment provenance 353
11.7.5 Volcanic double-dating, precise eruption dates, and magmatic residence times 353
11.7.6 Radiation-damage-and-annealing model applied to apatite 355
11.8 Conclusions 355
11.9 References 356
12Uranium-series geochronology 365
12.1 Introduction 365
12.2 Theory and fundamentals 367
12.2.1 The mathematics of decay chains 367
12.2.2 Mechanisms of producing disequilibrium 369
12.3 Methods and analytical techniques 369
12.3.1 Analytical techniques 369
12.4 Applications 372
12.4.1 U-series dating of carbonates 372
12.4.2 U-series dating in silicate rocks 378
12.5 Summary 389
12.6 References 390
13Cosmogenic nuclides 395
13.1 Introduction 395
13.2 History 395
13.3 Theory, fundamentals, and systematics 396
13.3.1 Cosmic rays 396
13.3.2 Distribution of cosmic rays on Earth 396
13.3.3 What makes a cosmogenic nuclide detectable and useful? 397
13.3.4 Types of cosmic-ray reactions 398
13.3.5 Cosmic-ray attenuation 399
13.3.6 Calibrating cosmogenic nuclide-production rates in rocks 400
13.4 Applications 401
13.4.1 Types of cosmogenic nuclide applications 401
13.4.2 Extraterrestrial cosmogenic nuclides 401
13.4.3 Meteoric cosmogenic nuclides 402
13.5 Conclusion 415
13.6 References 416
14Extinct radionuclide chronology 421
14.1 Introduction 421
14.2 History 422
14.3 Systematics and applications 423
14.3.126Al26Mg 423
14.3.253Mn53Cr chronometry 425
14.3.3107Pd107Ag 428
14.3.4182Hf182W 430
14.3.5 IPuXe 433
14.3.6146Sm142Nd 436
14.4 Conclusions 441
14.5 References 441
Index 445
