Thermodynamic Characterization and Equation of State for Solid and Liquid Lead

A high-temperature equation of state (EoS) for the fcc phase of solid lead and liquid lead was developed herein using experimental data on thermodynamic properties, volumetric thermal expansion, compressibility, temperature-dependent bulk modulus, and sound velocity from ultrasonic measurements and melting curve. The whole totality of experimental data was optimized using the temperature-dependent Murnaghan EoS over a pressure range of 0–130 kbar. The temperature dependences of thermodynamic and thermophysical parameters were described herein using an expanded Einstein model. The resultant EoS describes well the whole set of available experimental data within measurement uncertainties of individual parameters.

THERMODYNAMIC PROPERTIES AND THE EQUATION OF STATE OF COPPER

Высокотемпературное уравнение состояния меди получено с использованием экспериментальных данных по термодинамическим свойствам, объемному термическому расширению, сжимаемости, температурной зависимости модуля объемного сжатия. Весь объем экспериментальных данных оптимизирован с использованием температурно-зависящего уравнения Тайта в диапазоне давлений до 2000 кбар и температур от 20-50 K до температуры плавления. Температурная зависимость термодинамических и термофизических параметров описана с использованием расширенной модели Эйнштейна. Полученное уравнение состояния хорошо описывает весь объем экспериментальных данных в пределах погрешности измерений отдельных величин. The high-temperature equation of state of copper is obtained using experimental data on thermodynamic properties, volumetric thermal expansion, compressibility, temperature dependence of the volumetric compression modulus. The entire volume of experimental data is optimized using the temperature-dependent Tate equation in the pressure range up to 2000 kbar and temperatures from 20-50 K to the melting point. The temperature dependence of thermodynamic and thermophysical parameters is described using the extended Einstein model. The resulting equation of state describes well the entire volume of experimental data within the measurement error of individual quantities.

The Second Law

Why are so many large-scale processes irreversible, happening in one direction but not the other as time passes? This chapter answers that question using three simple model systems: a collection of two-state particles such as flipped coins or elementary magnetic dipoles; the Einstein model of a solid as a collection of identical quantum oscillators; and a monatomic ideal gas such as helium or argon. For each system we learn to calculate the multiplicity: the number of possible microscopic arrangements. Taking the logarithm of the multiplicity gives the entropy. And the laws of probability then imply the second law of thermodynamics: Entropy tends to increase.

Теплоемкость скандобората NdSc-=SUB=-3-=/SUB=-(BO_3)-=SUB=-4-=/SUB=-

Single crystals of trigonal neodymium scandoborate NdSc3(BO3)4 were grown by the group method from a solution-melt based on bismuth trimolybdate. The molar heat capacity C(T) was studied in the temperature range 2-300 K and magnetic fields up to 9 T. The experimental curve was approximated by the combined Debye-Einstein model. The lattice contribution was determined from ab-initio calculations. Schottky anomaly was observed in the low-temperature region C(T) with the applied magnetic field.