The first-order phase transition of melting for molecular crystals by Frost–Kalkwarf vapor- and sublimation-pressure equations
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Akira Matsumoto
Abstract
Thermodynamic quantities in the coexistence of the liquid and the solid phases for Frost–Kalkwarf vapor- and sublimation-pressure equations are investigated at an isobaric process. Gibbs free energy changes in the gaseous and the liquid phases, ΔG GL, has been derived from the Frost–Kalkwarf vapor-pressure equation. Similarly, Gibbs free energy changes in the gaseous and the solid phases, ΔG GS, may be estimated by the Frost–Kalkwarf sublimation-pressure equations which are determined by data of sublimation pressures and temperatures for 24 substances. In coexistence between the liquid and the solid phases, Gibbs free energy changes in the liquid and the solid phases, ΔG LS, may be expressed as the difference of ΔG GL and ΔG GS. The melting temperatures and enthalpy changes of melting are evaluated by numerical calculations for 24 substances. The behaviors of H2O for the neighborhood at the melting and the boiling points are investigated. The Gibbs free energy indicates two polygonal lines. Entropy, volume and enthalpy jump from the solid to the liquid phase at the melting point and from the liquid to the gaseous phase at the boiling point. The heat capacity does not diverge to infinity but shows a finite discrepancy at the melting and the boiling points. This suggests that first-order phase transitions at the melting and the boiling points may occur.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: None declared.
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
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Artikel in diesem Heft
- Frontmatter
- Dynamical Systems & Nonlinear Phenomena
- Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents
- Nonlinear excitations and dynamic features of dust ion-acoustic waves in a magnetized electron–positron–ion plasma
- Bifurcation analysis in a predator–prey model with strong Allee effect
- Hydrodynamics
- Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure
- Quantum Theory
- Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality
- Solid State Physics & Materials Science
- Tailoring the optical properties of tin oxide thin films via gamma irradiation
- Thermodynamics & Statistical Physics
- Impact of partially thermal electrons on the propagation characteristics of extraordinary mode in relativistic regime
- The first-order phase transition of melting for molecular crystals by Frost–Kalkwarf vapor- and sublimation-pressure equations
- Mathieu-state reordering in periodic thermodynamics
- Corrigendum
- Corrigendum to: Study of ferrofluid flow and heat transfer between cone and disk
Artikel in diesem Heft
- Frontmatter
- Dynamical Systems & Nonlinear Phenomena
- Study of shocks in a nonideal dusty gas using Maslov, Guderley, and CCW methods for shock exponents
- Nonlinear excitations and dynamic features of dust ion-acoustic waves in a magnetized electron–positron–ion plasma
- Bifurcation analysis in a predator–prey model with strong Allee effect
- Hydrodynamics
- Mixed initial-boundary value problems describing motions of Maxwell fluids with linear dependence of viscosity on the pressure
- Quantum Theory
- Spin coherent states, Bell states, spin Hamilton operators, entanglement, Husimi distribution, uncertainty relation and Bell inequality
- Solid State Physics & Materials Science
- Tailoring the optical properties of tin oxide thin films via gamma irradiation
- Thermodynamics & Statistical Physics
- Impact of partially thermal electrons on the propagation characteristics of extraordinary mode in relativistic regime
- The first-order phase transition of melting for molecular crystals by Frost–Kalkwarf vapor- and sublimation-pressure equations
- Mathieu-state reordering in periodic thermodynamics
- Corrigendum
- Corrigendum to: Study of ferrofluid flow and heat transfer between cone and disk
