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New Zeno-Like Liquid States
Isaac C Sanchez1, Sean O'Keefe1, Jeffrey F Xu1
1McKetta Department of Chemical Engineering, University of Texas , Austin, Texas 78712, United States.
A new Zeno-like line reveals that liquid densities and configurational energy are linear functions of temperature in the normal liquid range, establishing a universal corresponding states principle for diverse liquids.
Area of Science:
- Thermodynamics
- Physical Chemistry
- Materials Science
Background:
- A Zeno line is defined in a fluid's temperature-density plane where compressibility factor equals unity.
- An unexpected Zeno-like line exists in the normal liquid range (NLR) where compressibility factor approaches zero.
Purpose of the Study:
- To identify and characterize a second Zeno-like linearity in the normal liquid range (NLR).
- To establish a new corresponding states principle based on this observed linearity.
Main Methods:
- Analysis of temperature-density data for various liquid types.
- Identification of linear relationships in the normal liquid range (NLR).
Main Results:
- A Zeno-like line is observed in the NLR for diverse liquids, including molecular, polymeric, inorganic, ionic, and metallic liquids.
- Saturated liquid densities exhibit a linear dependence on temperature in the NLR, forming a single master curve.
- Configurational energy also shows a Zeno-like linearity in the NLR, extending to define the ground state energy of glasses.
Conclusions:
- The Zeno-like linearity in the NLR is a generic characteristic of liquids with low vapor pressures.
- This finding establishes a new corresponding states principle applicable to a wide range of liquid systems.
- The concept is extended to determine the ground state configurational energy of hypothetical disordered liquids (glasses).
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