This book covers applications of R to the general discipline of radiation dosimetry and to the specific areas of luminescence dosimetry, luminescence dating, and radiation protection dosimetry. It features more than 90 detailed worked examples of R code fully integrated into the text, with extensive annotations. The book shows how researchers can use available R packages to analyze their experimental data, and how to extract the various parameters describing mathematically the luminescence signals.
In each chapter, the theory behind the subject is summarized, and references are given from the literature, so that researchers can look up the details of the theory and the relevant experiments. Several chapters are dedicated to Monte Carlo methods, which are used to simulate the luminescence processes during the irradiation, heating, and optical stimulation of solids, for a wide variety of materials. This book will be useful to those who use the tools of luminescence dosimetry, including physicists, geologists, archaeologists, and for all researchers who use radiation in their research.
Author(s): Vasilis Pagonis
Series: Use R!
Publisher: Springer
Year: 2021
Language: English
Pages: 372
City: Cham
Preface
About This Book
Using the R Codes in This Book
How This Book Is Organized
Acknowledgments
Contents
List of Codes
Acronyms
1 Introduction to Luminescence Signals and Models
1.1 Thermally and Optically Stimulated LuminescencePhenomena
1.2 Overview of Thermoluminescence (TL) Signals and Models
1.2.1 Delocalized Transition Models of TL
1.2.2 Localized Transition Models of TL
1.3 Overview of Isothermal TL (ITL) Experiments and Models
1.4 Overview of OSL, IRSL, and Their Models
1.5 Time-Resolved Luminescence Signals
1.6 Overview of ESR and OA Experiments: Correlations with Luminescence Signals
1.7 What Information Can We Extract from TL, OSL, and TR Luminescence Signals?
Part I Luminescence Signals from Delocalized Transitions
2 Analysis and Modeling of TL Data
2.1 Introduction
2.2 The Simplest TL Model (OTOR)
2.3 The Prevalence of First Order Kinetics in Luminescence Experiments
2.4 Simulation of the Dose Response of TL Peaks Following First Order Kinetics
2.5 Second Order Kinetics in Luminescence Processes
2.6 The Geometrical Shape Factor
2.7 The Initial Rise Method for Estimating E
2.8 The Heating Rate Method of Finding the Kinetic Parameters E,s
2.9 The Empirical Nature of the General Order Kinetics (GOK) Equations
2.10 The General One Trap Equation (GOT)
2.11 Analytical Solution of the GOT Equation Using the Lambert Function W
2.12 Computerized Glow Curve Analysis of Single TL Peak
2.13 Deconvolution of Complex TL Glow Curves
2.14 Computerized Glow Curve Analysis with General Order Kinetics
2.15 Mixed Order Kinetics and the IMTS Model
2.16 Analytical Solution of the MOK Model
2.17 Simulations Using the DELOC Functions in the R Package RLumCarlo
2.18 Recommended Protocols for Analyzing TL Data
3 Analysis of Experimental OSL Data
3.1 Introduction
3.2 First Order Kinetics in CW-OSL Experiments
3.3 Fitting CW-OSL Data with the R Package numOSL
3.4 Fitting CW-OSL Data with the R package Luminescence
3.5 The GOT Equation for CW-OSL Signals
3.6 Analytical Solution of the GOT Equation for CW-OSL
3.7 Simulations of CW-OSL Experiments Using the Package RLumCarlo
3.8 First Order Kinetics for LM-OSL Processes
3.9 General Order Kinetics and Transformed Equationsfor LM-OSL
3.10 The GOT Equation for LM-OSL Signals
3.11 Fitting LM-OSL Signals Using the Package numOSL
3.12 Fitting Experimental LM-OSL Data with the R Package Luminescence
3.13 Transforming CW-OSL Into Pseudo-LM-OSL Signals
3.14 Recommended Protocols for Analyzing OSL Data
4 Dose Response of Dosimetric Materials
4.1 Introduction
4.2 Nonlinear Dose Response of ESR, TL, and OSL Signals
4.3 The Saturating Exponential Function
4.4 Dose Response in the OTOR Model: The Lambert Analytical Solution
4.5 Fitting Dose Response Data Using the Lambert W Function
4.6 The Effect of Sample Temperature During the IrradiationProcess
4.7 Competition During the Irradiation Stage: The Model of Bowman and Chen
4.8 Fitting of Superlinear Experimental Data Using the Lambert Equation
4.9 Analytical Equations for the Supralinearity Index f(D)
4.10 On the Importance of the W Function in Describing Luminescence Phenomena
5 Time-Resolved OSL Experiments
5.1 Introduction
5.2 Modeling of TR Signals and Thermal Quenching: The Mott–Seitz Mechanism
5.3 The Effect of Stimulation Temperature on the Luminescence Lifetime and Luminescence Intensity
5.4 TR-IRSL Experiments: Analytical Equations for Luminescence Intensity
5.5 A Model for TR-Photoluminescence (TR-PL) Experiments in Al2O3:C
Part II Luminescence Signals from Localized Transitions
6 Localized Transitions and Quantum Tunneling
6.1 Introduction to the TLT Models
6.2 Quantum Tunneling and the Distribution of NearestNeighbors
6.3 Overview of Four TLT Models
6.4 Ground State Tunneling: The Anomalous Fading Effect
6.5 Example of Analyzing Experimental Data for the Anomalous Fading Effect
6.6 Simultaneous Ground State Tunneling and Irradiation of the Sample
6.7 Excited State Tunneling Phenomena (EST Model)
6.8 The Kitis–Pagonis Analytical Solution of the EST Model
6.9 Fitting CW-IRSL Data Using the KP-CW Equation
6.10 Fitting TL Data from Freshly Irradiated Samples Using the KP-TL Equation
6.11 The Low Temperature Thermochronology Model by Brown et al.
6.12 Simulations Using the TUN Functions in the R Package RLumCarlo
7 Localized Transitions: The LT and SLT Model
7.1 Localized Models with Constant Recombination Coefficients
7.2 Overview of the LT Model
7.3 The LT Model: Numerical and Analytical Solution
7.4 Simulations Using the LOC Functions in the R Package RLumCarlo
7.5 The Mandowski SLT Model
7.6 The Anomalous Heating Rate Effect
7.7 The Simplified SLT Model by Pagonis et al.
Part III Monte Carlo Simulations of Luminescence Signals
8 Monte Carlo Simulations of Delocalized Transitions
8.1 Introduction
8.2 Deterministic Versus Stochastic Processes
8.3 Overview of previous MC Research in TL and OSL
8.4 The Simplest Luminescence MC Application: First Order CW-OSL Process
8.5 Luminescence Phenomena as Stochastic Birth and Death Processes
8.6 A Linear Simple Death Process with Death Rate μn=nμ
8.7 Vectorized MC Simulation of a First Order CW-OSL Process
8.8 Linear Pure Death Process with μn=nμ(t)
8.9 Vectorized Code for First Order Kinetics TL Process
8.10 Vectorized MC Simulation of First Order LM-OSL Process
8.11 Vectorized MC Simulation of TL in the GOT Model
8.12 Monte Carlo Simulation of TL/OSL from a System of Small Trap Clusters
8.13 Irradiation Process as a Nonlinear Pure Birth Problem
9 Monte Carlo Simulations of Localized Transitions
9.1 Introduction
9.2 MC Simulations of TL Based on the Excited State Tunneling (EST) Model
9.3 Tunneling MC Simulations for CW-IRSL Signals
9.4 Tunneling MC Simulations for LM-IRSL Signals
9.5 MC Simulation of Localized Transitions in the LT Model
10 Kinetic Monte Carlo Simulations
10.1 Introduction to KMC Methods
10.2 Stochastic Simple Linear Death Process Using KMC
10.3 Stochastic First Order LM-OSL Process Using KMC
10.4 Stochastic First Order Kinetics TL Process Using KMC
10.5 The Microscopic Description of Quantum Tunneling in Luminescent Materials
Part IV Comprehensive Luminescence Models
11 Comprehensive Luminescence Models for Quartz
11.1 Introduction
11.2 General Description of the Bailey Bailey2001 Model
11.3 General Description of the Pagonis et al. Pagonis2008b Model
11.4 Using the R Program KMS
11.5 Simulations of the History of Natural Quartz Samples
11.6 Thermal Quenching of TL Signals in Quartz
11.7 Dose Response of Quartz Samples in the KMS Models
11.8 Superlinear Dose Response of Annealed Quartz Samples
11.9 Simulation of the Phototransfer Effect Using the Bailey2001 Model
11.10 The Predose Effect and the Zimmerman Hole Transfer
11.11 Simulation of a Pulse Annealing Experiment in Quartz
11.12 Simulation of the SAR Protocol in Quartz
11.13 Using the R package RlumModel to Simulate Quartz Luminescence Phenomena
12 Comprehensive Models for Feldspars
12.1 Introduction
12.2 Ground State Tunneling: The Anomalous Fading Effect
12.3 Simultaneous Irradiation and Quantum Tunneling (IGSTModel)
12.4 Quantum Tunneling from the Excited State of the Electron Trap (EST Model)
12.5 Simulation of CW-IRSL Curves of Freshly IrradiatedSamples
12.6 Simulation of TL Glow Curves in Freshly Irradiated Samples
12.7 TL Signals from Thermally and Optically Treated Samples
12.8 The Low Temperature Thermochronology Model by Brown et al.
References
Index
