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TITLE
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
PREFACE
1. A BRIEF REVIEW ON THE HIGH-Tc SUPER CONDUCTING COMPOUNDS AND AN INTRODUCTION TO THE THEORY OF ELASTICITY AND THERMAL EXPANSION
1.1 Introduction
1.2 La2-x, SrxCuO4
1.3 Nd 1.85Ce0.15CuO4
1.4 Bi2Sr2CaCu2O8
1.5 Theory of Elasticity
1.6 Finite Strain Theory of Elasticity
1.7 Quasi-harmonic Theory of Thermal Expansion
References
2. INTERLATTICE DISPLACEMNETS OF La1.8Sr0.2CuO4, Nd1.85Ce0.15CuO4and BI2Sr2CaCu2O3
2.1 Introduction
Fig. 2.1. Body-antered tetragonal structure of La, 8Sro, 2Cu0, andthe arrangement of the 14 atoms in the unit cell
2.2 Theory
2.3 Interlattice Displacements of La 1.8Sr0.2CuO4
2.4 Interlattice Displacemnts of Nd1.85Ce0.15CuO4
2.5 Interlattice Displacements of Bi2Sr2CaCu2O8
2.6 Results and Discussion
References
3. SECOND-ORDER ELASTIC CONSTANTS OF La1.8Sr0.2CuO4, Nd1.85Ce0.15CuO4 and BI2Sr2CaCu2O8
3. 1 Introduction
3.2 General Theory
3.3 Second-order Elastic Constants of La 1.8Sr0.2CuO4
3.4 Second-order Elastic Constants of Nd1.85Ce0.15CuO4
3.5 Second-order Elastic Constants of Bi2Sr2CaCu2O8
3.6 Results and Discussion
References
4. THIRD-ORDER ELASTIC CONSTANTS OF La1.8Sr0.2CuO4, Nd1.85Ce0.15CuO4and BI2Sr2CaCu2O3
4.1 Introduction
4.2 Theory
4.3 Third-order Elastic Constants of La1.8Sr0.2CuO4
4.4 Third-order Elastic Constants of Nd1.85Ce0.15CuO4
4.5 Third-order Elastic Constants of Bi2Sr2CaCu2O8
4.6 Results and Discussion
References
5. PRESSURE DERIVATIVES OF THE SECOND-ORDER ELASTIC CONSTANTS OF La1.8Sr0.2CuO4, Nd1.85Ce0.15CuO4 and BI2Sr2CaCu2O3
5.1 Introduction
5.2 Theory
5.3 La1.8Sr0.2CuO4
5.4 Nd l.85Ce0.15CuO4
5.5 Bi2Sr2CaCu2O8
5.6 Results and Discussion
References
6. LOW TEMPERATURE THERMAL EXPANSION OF La1.8Sr0.2CuO4, Nd1.85Ce0.15CuO4 and BI2Sr2CaCu2O8
6.1 Introduction
6.2 Procedure to Obtain the Low Temperature Limit of Gruneisen Function (γL)
6.3 La 1.8Sr0.2CuO4
6.4 Nd 1.85Ce0.15CuO4
6.5 Bi2Sr2CaCu2O8
6.6 Discussion of Results
References
7. SUMMARY AND CONCLUSION
APPENDIX
POSITION CO-ORDINATES OF THE NINE NEAREST NEIGHBOURS OF THE DIFFERENT ATOMS IN THE UNIT CELL OF La1.8Sr0.2CuO4