Thermodynamic and thermoelastic properties of solids under high pressures and high temperatures can be understood by investigation an adequate from of EOS [1-3]. An EOS can be used to determine the bulk modulus B and its variation with pressure and temperature [4-8]. These equations can in principle be derived from the knowledge of interatomic potentials for solids. Phenomenological forms of EOS can also be derived by considering some particular relationship for the pressure dependence and the temperature dependence of bulk modulus. A number of phenomenological equations have been reported in the literature [2, 6-10]. An isothermal EOS yields the relationship between pressure and volume at a constant temperature. The isothermal bulk modulus (B) can be determined from an isothermal equation of state representing the relationship between pressure and volume at fixed temperature.
CHAPTER I - INTRODUCTION
CHAPTER II- ISOTHERMAL EQUATIONS OF STATE
• MURNAGHAN‟S EQUATIONS
• MODIFIED MURNAGHAN‟S EQUATIONS
• BIRCH EQUATION
CHAPTER III- ISOTHERMAL BULK MODULUS AND
PRESSURE DERIVATIVES 22 – 30
• DERIVATIVES OF BULK MODULUS.
• INTERIONIC POTENTIALS
CHAPTER IV- THIRD ORDER AND FOURTH ORDER
• THIRD ORDER ELASTIC CONSTANTS.
• FOURTH ORDER ELASTIC CONSTANTS.
CHAPTER V- EQUATIONS OF STATE BASED ON
SHORT RANCE FORCE CONSTANT
CHAPTER IV- ANALYSIS, RESULT AND DISCUSSIONS 56 – 121
• STUDY OF BRICH MURNACHAN‟S EQUATIONS OF STATE.
• PRESSURE-VOLUME RELATIONSHIP USING DIFFERENT EQUATIONS OF STATE
6.3 PRESSURE- VOLUME –TEMPERATURE RELATIONSHIP.
6.4 EQUATIONS OF STATE AND PRESSURE DEPENDENCE OF BULK MODULUS.
6.5 VARIATIONS OF THE PRESSURE DERIVATIVE AND BULK MODULUS WITH COMPRESSION.
CHAPTER VII- SUMMARY AND CONCLUSIONS
Dr. Praveen Kumar ( Dr. Praveen Kumar Saraswat)working as Associate professor & Head in post graduate department of physics, Narain College, Shikohabad affiliated to DR BHIM RAO AMBEDKAR UNIVERSITY, AGRA (Formerly known as AGRA UNIVERSITY, AGRA. He obtained his B.Sc. , M.Sc. & Ph.D. degree from DBRAU, AGRA in 1986,1988 & 1998 respectively. The specialization of his Ph.D. is condensed matter physics. He has teaching experience of more than 26 years of UG & PG classes, research experience of more than 18 years during which five (05) students were
Subject Covers:-
• MURNAGHAN‟S EQUATIONS
• MODIFIED MURNAGHAN‟S EQUATIONS
• BIRCH EQUATION
• DERIVATIVES OF BULK MODULUS.
• INTERIONIC POTENTIALS
• THIRD ORDER ELASTIC CONSTANTS.
• FOURTH ORDER ELASTIC CONSTANTS.
• STUDY OF BRICH MURNACHAN‟S EQUATIONS OF STATE.
• PRESSURE-VOLUME RELATIONSHIP USING DIFFERENT EQUATIONS OF STATE
This Book Useful for the students of :-
