Metal-non-metal transition in lead-bismuth eutectic

Area of Science:

• Thermodynamics
• Materials Science
• Condensed Matter Physics

Background:

• Understanding the behavior of alloys under extreme conditions is crucial for materials science.
• The Pb-Bi eutectic alloy exhibits unique properties that warrant investigation.
• Previous studies have explored its thermodynamic functions and electrical properties separately.

Purpose of the Study:

• To investigate the thermodynamic functions and electrical resistivity of the Pb-Bi eutectic alloy.
• To explore the relationship between specific volume, pressure, and the alloy's metallic/insulating behavior.
• To develop an equation of state (EOS) for the alloy and determine critical transition points.

Main Methods:

• Experimental measurements of thermodynamic functions and electrical resistivity.
• Varying specific volume and pressure across liquid and gaseous states.
• Construction of an equation of state based on experimental data.

Main Results:

• Observed a crossover from metallic to insulating behavior in electrical resistivity with increasing specific volume.
• Identified a critical specific volume where the constant volume temperature coefficient of resistivity changes sign.
• Found that isochores in the specific internal energy-pressure plane are straight lines.
• Determined that the critical specific volumes for the metal-non-metal transition and liquid-gas transition are equal.

Conclusions:

• The metal-non-metal transition in the Pb-Bi eutectic alloy can be described by classical percolation theory.
• The developed equation of state accurately predicts critical transition points.
• The study provides insights into the fundamental behavior of alloys under varying thermodynamic conditions.