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Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than...
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A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
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Ionic crystals consist of two or more different kinds of ions that usually have different sizes. The packing of these ions into a crystal structure is more complex than the packing of metal atoms that are the same size.
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Crystallization is a phase transformation process in which crystals are precipitated from a supersaturated solution or formed from other sources. During crystallization, atoms or molecules arrange themselves into a well-defined, rigid crystal lattice to minimize energy.
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Density functional theory for carbon dioxide crystal.

Yiwen Chang1, Jianguo Mi1, Chongli Zhong1

  • 1State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, China.

The Journal of Chemical Physics
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Summary
This summary is machine-generated.

This study introduces a new density functional approach for carbon dioxide (CO2) phase transitions and properties. The model accurately predicts CO2 densities and interfacial tensions, advancing materials science.

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Area of Science:

  • Computational Materials Science
  • Physical Chemistry
  • Thermodynamics

Background:

  • Existing models for solid-liquid phase transitions often rely on the second-order direct correlation function.
  • Describing polyatomic molecules like CO2 requires accounting for both attractive and entropic interactions.

Purpose of the Study:

  • To develop a novel density functional approach for modeling the solid-liquid phase transition, interfacial and crystal structure, and properties of carbon dioxide (CO2).
  • To integrate enthalpic and entropic interactions within a density functional framework.

Main Methods:

  • Utilized a density functional approach based on fundamental measure theory for hard-sphere repulsion.
  • Incorporated enthalpic interactions from dispersive attractions and entropic interactions from molecular architecture.
  • Applied the model to predict densities and interfacial tensions of CO2.

Main Results:

  • The theoretical model accurately predicts liquid and solid densities of CO2 at the equilibrium triple point, showing good agreement with experimental data.
  • Predicted interfacial tensions for crystal-liquid interfaces on different planes.
  • The approach offers a new method for studying phase transitions in polyatomic systems.

Conclusions:

  • The developed density functional approach provides a robust framework for studying phase transitions and interfacial properties of polyatomic molecules like CO2.
  • The model's predictions for CO2 densities align well with experimental observations.
  • Further validation is needed to confirm the accuracy of predicted interfacial tensions.