Luminescence Signal Analysis Using Python

Preface
	Using the Python Codes in this Book
	The New Nomenclature Used in this Book
	How This Book is Organized
	Acknowledgments
Contents
Acronyms
List of Codes
1 Overview of Luminescence Signals from Dosimetric Materials
	1.1 Introduction
	1.2 Irradiation of Solids: Electron Traps, Hole Traps and Recombination Centers
	1.3 Thermoluminescence (TL) Experiments and Models
	1.4 Isothermal Luminescence (ITL) Experiments and Models
	1.5 Optically Stimulated Luminescence (OSL) Experiments and Models
	1.6 Infrared Stimulated Luminescence (IRSL) Experiments and Models
	1.7 Time-resolved (TR) Luminescence Experiments and Models
	1.8 ESR and OA Experiments: Correlations with Luminescence Signals
	1.9 What Information Can We Extract from Luminescence Signals?
	References
2 TL from Delocalized Transitions: Models
	2.1 Introduction
	2.2 The Simplest TL Model (OTOR)
	2.3 Varying the Parameters In the OTOR Model
	2.4 The FOK-TL Equation for First Order Kinetics
	2.5 Simulation of the Dose Response of TL Peaks Following First Order Kinetics
	2.6 Second Order Kinetics in Luminescence Processes
	2.7 The FOK-TL, FOK-ITL, FOK-CW and FOK-LM Equations
	2.8 The Geometrical Shape Factor
	2.9 The Initial Rise Method for Estimating E
	2.10 The Effect of Heating Rate on the TL Glow Curve
	2.11 The Heating Rate Method of Finding the Kinetic Parameters E,s
	2.12 The Empirical General Order Kinetics (GOK) Equation
	2.13 The GOK-TL, GOK-ITL, GOK-CW and GOK-LM Equations
	2.14 The General One Trap Equation (GOT)
	2.15 Analytical Solution of The GOT Equation: The KV Equation
	2.16 The KV-TL, KV-ITL, KV-CW And KV-LM Equations
	2.17 Mixed Order Kinetics and The IMTS Model
	2.18 General Analytical Solution of the MOK Model
	2.19 The MOK-TL, MOK-ITL, MOK-CW and MOK-LM Equations
	2.20 Recommended Protocols for Analyzing TL Data
	References
3 TL Signals from Delocalized Transitions: Data Analysis
	3.1 Introduction
	3.2 Introduction to the Deconvolution of TL Glow Curves
	3.3 CGCD Equations and Their Transformed Equivalents
	3.4 Using the Python Package Optimize and the Function Curve_fit()
	3.5 CGCD Using the Original FOK-TL (Randall-Wilkins) Equation
	3.6 CGCD Using the Transformed FOK-TL Equation
	3.7 CGCD Using the Original GOK-TL Equation
	3.8 CGCD Using the Transformed GOK-TL Equation
	3.9 CGCD Using the Original KV-TL Equation
	3.10 CGCD Using the Transformed KV-TL Equation
	3.11 CGCD Using the MOK-TL Equation
	3.12 CGCD Using the Transformed MOK-TL Equation
	3.13 CGCD of Multipeak Data Using the Transformed KV-TL Equation
	3.14 CGCD of Multipeak Data Using the Transformed GOK-TL Equation
	3.15 CGCD of LiF Glow Curve Using the Transformed KV-TL Equation
	3.16 CGCD of LiF Glow Curve Using the Transformed GOK-TL Equation
	References
4 TL from Quantum Tunneling Processes: Models
	4.1 Introduction
	4.2 Delocalized Versus Localized Transition Models for Luminescence
	4.3 Quantum Tunneling and the Distribution of Nearest Neighbors
	4.4 Overview of Four TLT Models with First Order Kinetics
	4.5 Ground State Tunneling—The Anomalous Fading Effect
	4.6 Approximate Analytical Solution of the GST Model: The Huntley Equation
	4.7 Anomalous Fading and the Value of the Acceptor Density ρ
	4.8 Simultaneous Ground State Tunneling and Irradiation of the Sample
	4.9 The Approximate Analytical Equation for the Dose Response of the IGST Model
	4.10 Excited State Tunneling Phenomena (EST Model)
	4.11 Quantum Tunneling and TL Signals in the EST Model
	4.12 Simulation of TL Signal from Unfaded Samples in the EST Model
	4.13 Simulation of The Remnant TL (RTL) Using the GST and EST Models
	4.14 The Kitis-Pagonis (KP) Analytical Solution of the EST Model
	4.15 The KP-TL, KP-ITL, KP-CW and KP-LM Equations
	4.16 The TA-EST Model for Low Temperature Thermochronometry
	References
5 TL from Quantum Tunneling Processes: Data Analysis
	5.1 Introduction
	5.2 Example of Analyzing Experimental Data for the Anomalous Fading Effect
	5.3 Fitting Single-Peak TL Data From Unfaded Samples Using the KP-TL Equation
	5.4 Fitting Multiple-Peak TL Data from Unfaded Samples Using the KP-TL Equation
	5.5 The Transformed KP-TL Equation
	5.6 Finding the Optimal Number of TL Components in Feldspars
	References
6 ITL Signals: Models
	6.1 Introduction
	6.2 Overview of ITL Signals And the Challenges They Present
	6.3 A Comparative Study of ITL and TL Signals in MBO and LBO Dosimeters
	6.4 The FOK-ITL Equation For CCDA Analysis of ITL Signals
	6.5 The KV-ITL Equation for CCDA Analysis of ITL Signals
	6.6 The MOK-ITL Equation for CCDA Analysis of ITL Signals
	6.7  The GOK-ITL Equation for CCDA Analysis of ITL Signals
	6.8 The KP-ITL Equation for CCDA Analysis of ITL Signals
	6.9 Summary of ITL Analytical Equations
	References
7 ITL Signals: Data Analysis
	7.1 Introduction
	7.2 General Considerations for the Analysis of Isothermal Luminescence Signals
	7.3 Analysis of ITL Signals Using the FOK-ITL Equation
	7.4 Analysis of ITL Signals Using The KV-ITL Equation
	7.5 Analysis of ITL Signals Using the MOK-ITL Equation
	7.6 Analysis of ITL Signals Using the GOK-ITL Equation
	7.7 Analysis of ITL Signals Using the KP-ITL Equation
	7.8 The TL-like Presentation of ITL and CW-OSL Signals
	References
8 OSL from Delocalized Transitions: Models
	8.1 Introduction
	8.2 Overview of CW-OSL and LM-OSL Signals, and Associated Models
	8.3 The FOK-CW Equation for CCDA of CW-OSL Signals
	8.4 The KV-CW Equation for CCDA of CW-OSL Signals
	8.5 The MOK-CW Equation for CW-OSL Signals
	8.6 The GOK-CW Equation for CCDA of CW-OSL Signals
	8.7 The KP-CW Equation for CCDA of CW-IRSL Signals
	8.8 The FOK-LM Equation for CCDA of LM-OSL Signals
	8.9 The KV-LM Equation for CCDA of LM-OSL Signals
	8.10 The MOK-LM Equation for CCDA of LM-OSL Signals
	8.11 The GOK-LM Equation for CCDA of LM-OSL Signals
	8.12 The KP-LM Equation for CCDA of LM-IRSL Signals
	8.13 Transforming CW-OSL into Pseudo-LM-OSL Signals
	References
9 OSL from Delocalized Transitions: Data Analysis
	9.1 Introduction
	9.2 General Considerations for Analyzing CW-OSL Signals
	9.3 Using the FOK-CW Equation for Analyzing CW-OSL/CW-IRSL Data
	9.4 Using the KV-CW Equation for Analyzing CW-OSL Signals
	9.5 Using the MOK-CW Equation for Analyzing CW-OSL/CW-IRSL Signals
	9.6 Using the GOK-CW Equation for Analyzing CW-OSL Signals
	9.7 Using the KP-CW Equation for Analyzing CW-OSL Signals
	9.8 Using the FOK-LM Equation for Analyzing LM-OSL Signals
	9.9 Using the Transformed FOK-LM Equation for Analyzing LM-IRSL Signals
	9.10 Using the KV-LM Equation for Analyzing LM-OSL Signals
	9.11 Using the MOK-LM Equation for Analyzing LM-OSL Signals
	9.12 Using the Transformed MOK-LM Equation for Analyzing LM-OSL Signals
	9.13 Using the GOK-LM Equation for Analyzing LM-OSL Signals
	9.14 Using the Transformed GOK-LM Equation for Analyzing LM-OSL Signals
	9.15 Using the KP-LM  Equation for CCDA of LM-IRSL Signals
	9.16 Transforming CW-IRSL Signals into Peak-Shaped Signals
	9.17 Recommended Protocols for Analyzing OSL Data
	References
10 Infrared Stimulated Luminescence Signals: Models
	10.1 Introduction
	10.2 Introduction to IRSL Signals—the EST Model
	10.3 Description of Luminescence Signals Within the EST Model
	10.4 The TL Glow Curve as the Sum of Partial TL Glow Curves
	10.5 The CW-IRSL Signal as the Sum of Partial CW-IRSL Curves
	10.6 The LM-IRSL Signal as the Sum of Partial LM-IRSL Curves
	10.7 CCDA Using the KP-CW and KP-LM Equations
	10.8 The Stretched Exponential Equation
	References
11 Infrared Stimulated Luminescence Signals: Data Analysis
	11.1 Introduction
	11.2 Fitting CW-IRSL Data Using the KP-CW Equation
	11.3 Fitting LM-IRSL Data Using the KP-LM Equation
	11.4 Fitting TL Data Using the KP-TL Equation
	11.5 Fitting CW-IRSL Signals with the Stretched Exponential Equation
	11.6 CW-IRSL Signals Measured at Higher Stimulation Temperature
	References
12 Time-Resolved Luminescence: Models
	12.1 Introduction
	12.2 Examples of TR Luminescence Signals - Thermal Quenching
	12.3 TR Signals and Thermal Quenching - The Mott-Seitz Mechanism
	12.4 A Model for TR-Photoluminescence (TR-PL) Experiments in Al2O3:C
	12.5 TR-IRSL Experiments: Analytical Equations from the EST Model
	References
13 Time-Resolved Luminescence: Data Analysis
	13.1 Introduction
	13.2 Analysis of TR Signals Using the FOK-TR Equations
	13.3 The Effect of Thermal Quenching on the TL Glow Curve
	13.4 Evaluating the Thermal Quenching Parameters C, W and Eth
	13.5 Analysis of TR-IRSL Data from Feldspars
	13.6 Analysis of TR Data Using the Stretched Exponential
	References
14 Dose Response of Dosimetric Materials: Models
	14.1 Introduction
	14.2 Mathematical Expressions for Dose Response of Luminescence Signals
	14.3 Nonlinear Dose Response of ESR, TL and OSL Signals
	14.4 Dose Response in the OTOR Model: The PKC Analytical Solution
	14.5 Competition During the Irradiation Stage: The PKC-S Equation
	14.6 Analytical Equations for the Supralinearity Index f(D)
	References
15 Dose Response of Luminescence Signals: Data Analysis
	15.1 Introduction
	15.2 ESR and OA Experiments: Correlations with Luminescence Signals
	15.3 Fitting Dose Response Data Using the SE and PKC-Equations
	15.4 Fitting Dose Response Data Using the PKC, SE and DSE Equations
	15.5 Fitting of Superlinear Experimental Data Using the Lambert Equation
	References
Appendix  Index
Index