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TITLE
DEDICATION
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
PREFACE
1. INTRODUCTION TO THE THEORY OF ELASTICITY AND LOW TEMPERATURE THERMAL EXPANSION
1.1 Introduction
1.2 Theory of Finite Strain Elasticity
1.3 Quasi-harmonic Theory of Thermal Expansion
1.4 Fullerene C60
1.5 Manganese-Platinum Alloy (Mn78Pt22)
1.6 Iron-Platinum Alloy (Fe72Pt28)
References
2. INTERLATTICE DISPLACEMENTS AND SECOND- ORDER ELASTIC CONSTANTS (SOECs) OF C60, Mn78 Pt22 AND Fe72Pt28
2.1 Introduction
2.2 Theory
2.3 Second-Order Elastic Constants of C60
2.4 Second-Order Elastic Constants of Mn78Pt22
2.5 Second-Order Elastic Constants of Fe72Pt28
2.6 Results and Discussion
References
3. THIRD-ORDER ELASTIC CONSTANTS OF C60, Mn78Pt22 AND Fe72Pt28
3.1 Introduction
3.2 Theory
3.3 Third-Order Elastic Constants of C60
3.4 Third-Order Elastic Constants of Mn78Pt22
3.5 Third-Order Elastic Constants of Fe72Pt28
3.6 Results and Discussion
References
4. PRESSURE DERIVATIVES OF THE SECOND-ORDER ELASTIC CONSTANTS OF C60, Mn78Pt22 AND Fe72Pt28
4.1 Introduction
4.2 Theory
4.3 Pressure Derivatives of the SOECs of C60
4.4 Pressure Derivatives of the SOECs of Mn78Pt22
4.5 Pressure Derivatives of the SOECs of Fe72Pt28
4.6 Results and Discussion
References
5. LOW TEMPERATURE LATTICE THERMAL EXPANSION OF C60, Mn78Pt22 AND Fe72Pt28
5.1 Introduction
5.2 Procedure to obtain the Low Temperature Limit of the Lattice Thermal Expansion
5.3 Low Temperature Limit of the Lattice Thermal Expansion of C60
5.4 Low Temperature Limit of the Lattice Thermal Expansion of Mn78Pt22
5.5 Low Temperature Limit of the Lattice Thermal Expansion of Fe72Pt28
5.6 Results and Discussion
Reference
6. SUMMARY AND CONCLUSION
APPENDICES
APPENDIX I Position Co-Ordinates of the Various Neighbours of the Different Molecules in the Unit Cell of C60
APPENDIX II Position Co-Ordinates of the Various Neighbours of the Different Atoms in the Unit Cell of Mn78pt22.
APPENDIX III Position Co-Ordinates of the Various Neighbours of the Different Atoms in the Unit Cell of Fe72pt28.