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TITLE
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
PREFACE
I. BRIEF REVIEW OF THE FINITE STRAIN ELASTICITY THEORY IN UNIAXIAL CRYSTALS
1.1 Introduction
1.2 Sn and Sn-In alloy
1.3 Boron Nitride
1.4 The Theory of Elasticity
1.5 Dynamical Theory of Crystal Lattice
1.6 Finite Strain Elasticity Theory
1.7 Effective Second -Order Elastic Constants using Finite Strain Elasticity Theory
References
2. QUASIHARMONIC THEORY OF THERMAL EXPANSION OF UNIAXIAL CRYSTALS
2.1 Introduction
2.2 Quasiharmonic theory of thermal expansion
2.3 The Low Temperature limit ΥL, of the Gruneisen function
References
3. SECOND ORDER ELASTIC CONSTANTS, THIRD ORDER ELASTIC CONSTANTS, PRESSURE DERIVATIVES OF SECOND ORDER ELASTIC CONSTANTS AND THE LOW TEMPERATURE THERMAL EXPANSION OF a-TIN
3.1 Introduction
3.2 Second order Elastic Constants
3.3 Third order Elastic Constants
3.4 Pressure Derivatives of the Second Order Elastic Constants
3.5 Low Temperature Thermal Expansion of β-tin
3.6 Results and Discussion References
References
4. SECOND ORDER ELASTIC CONSTANTS, THIRD ORDER ELASTIC CONSTANTS, PRESSURE DERIVATIVES OF SECOND ORDER ELASTIC CONSTANTS AND THE LOW TEMPERATURE THERMAL EXPANSION OF TIN-INDIUM ALLOY
4.1 Introduction
4.2 Second order Elastic Constants
4.3 Third order Elastic Constants
4.4 Pressure Derivatives of the Second Order Elastic Constants
4.5 Low Temperature thermal expansion of tin-indium alloy
4.6 Results and Discussion
References
5. SECOND ORDER ELASTIC CONSTANTS, THIRD ORDER ELASTIC CONSTANTS, PRESSURE DERIVATIVES OF SECOND ORDER ELASTIC CONSTANTS AND THE LOW TEMPERATURE THERMAL EXPANSION OF HEXAGONAL BORON NITRIDE
5.1 Introduction
5.2 Second and Third Order Elastic Constants
5.3 Pressure Derivatives of the Second Order Elastic Constants
5.4 Low Temperature Thermal Expansion of BN
5.5 Results and Discussion
References
6. SUMMARY AND CONCLUSION