Numerical And Practical Exercises... | Buy

Thermoluminescence (TL) is a well-established technique widely used in dosimetric and dating applications. Although several excellent reference books exist which document both the theoretical and experimental aspects of TL, there is a general lack of books that deal with specific numerical and practical aspects of analyzing TL data. Many times the practical details of analyzing numerical TL glow curves and of applying theoretical models are difficult to find in the published literature.Numerical and Practical Exercises in Thermoluminescence provides a practical guide for both established researchers and for new graduate students entering the field of TL, and is intended to be used in conjunction with and as a practical supplement to standard textbooks in the field.

Preface

vii

List of Figures

xv

List of Tables

xxi

1. Expressions for Evaluating the Kinetic Parameters

1

(22)

Introduction

1

(1)

Simple Thermoluminescence Model

1

(1)

Expressions for First-, Second-, and General-Order TL Kinetics

2

(6)

Methods of Analysis

8

(13)

Initial Rise Methods

8

(4)

Methods of Analysis Employing the Whole TL Glow Curve

12

(1)

Peak Position Methods of Analysis

13

(1)

Methods of Analysis Based on the Temperature at the Maximum

13

(1)

Methods of Analysis Based on Various Heating Rates

13

(2)

Isothermal Decay Method

15

(2)

Methods of Analysis Based on the Shape of the Glow Curve

17

(2)

Curve Fitting Methods

19

(1)

The Series Approximation to the TL Integrals

19

(1)

Computerized Curve Fitting Procedures

20

(1)

References

21

(2)

2. Analysis of Thermoluminescence Data

23

(56)

Introduction

23

(1)

Exercise 2.1: Analysis of a First-Order TL Peak

24

(11)

Exercise 2.2: Heating Rate Method for First-Order Kinetics

35

(4)

Exercise 2.3: Isothermal Method for First-Order Kinetics

39

(3)

Exercise 2.4: Analysis of a Second-Order TL Peak

42

(11)

Exercise 2.5: Isothermal Method for Second-Order Kinetics

53

(5)

Exercise 2.6: Analysis of a General-Order TL Peak

58

(12)

Exercise 2.7: Influence of the Background on the Results of the Initial Rise Method

70

(2)

Exercise 2.8: Study of the 15% Rule of Thumb for the Initial Rise Technique

72

(2)

Exercise 2.9: Error Analysis for Peak Shape Methods

74

(4)

References

78

(1)

3. Simple TL Models

79

(41)

Introduction

79

(1)

Exercise 3.1: Numerical Integration of First-Order Equation

80

(2)

Exercise 3.2: The One-Trap-One-Recombination Center Model

82

(4)

Exercise 3.3: Calculation of Glow Peaks Using Mathematica

86

(5)

Exercise 3.4: The OTOR Model in Mathematica

91

(5)

Exercise 3.5: The IMTS Model in Mathematica

96

(3)

Exercise 3.6: Analytical Expressions for First-Order Kinetics

99

(3)

Exercise 3.7: Analytical Expressions for Second-Order Kinetics

102

(2)

Exercise 3.8: Analytical Expressions for General-Order Kinetics

104

(1)

Exercise 3.9: Comparative Study of the Accuracy of Analytical Expressions for First-Order TL Glow Peaks

104

(4)

Exercise 3.10: Comparative Study of the Accuracy of Analytical Expressions for General-Order TL Glow Peaks

108

(3)

Exercise 3.11: Numerical Study of Mixed-Order Kinetics

111

(7)

References

118

(2)

4. TL Dose Response Models

120

(24)

Introduction

120

(1)

Overview of Nonlinear Dose Response of TL Materials and Terminology

121

(1)

Exercise 4.1: The Filling of Traps in Crystals During Irradiation

122

(6)

Listing of Program for Exercise 4.1

126

(2)

Exercise 4.2: Competition During Excitation Model

128

(4)

Listing of Program for Exercise 4.2

131

(1)

Exercise 4.3: Superlinearity Model with Competition During Both Excitation and Heating

132

(6)

Listing of Program for Exercise 4.3

136

(2)

Exercise 4.4: The f (D) and g(D) Functions

138

(5)

References

143

(1)

5. Miscellaneous Applications of Thermoluminescence

144

(38)

Introduction

144

(1)

Reproducibility of TLD Systems

144

(4)

Definitions for Reference and Field Dosimeters

146

(2)

Exercise 5.1: Lower Detection Limit, D LDL

148

(1)

Exercise 5.2: Reproducibility Measurements

149

(2)

Exercise 5.3: Individual Correction Factors, Si

151

(1)

Exercise 5.4: Relative Standard Deviation Versus Dose

152

(1)

Exercise 5.5: Dose Monitoring in a Nuclear Medicine Department

153

(2)

Exercise 5.6: Determination of the Self-Dose in a TL Material

155

(1)

Exercise 5.7: Simulation of Thermal Quenching in TL Materials

156

(6)

Exercise 5.8: The Effect of Thermal Quenching on the Initial Rise Method of Analysis

162

(4)

Exercise 5.9: TL-Like Presentation of Phosphorescence Decay Curves

166

(5)

Exercise 5.10: Temperature Lag Corrections

171

(3)

Exercise 5.11: Study of the Integrals Appearing in the Expressions for First- and General-Order TL Kinetics

174

(6)

References

180

(2)

Annotated Bibliography

182

(18)

Appendix: A Brief Introduction to Mathematica

200

(5)

Author Index

205

(2)

Subject Index

207

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