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Van der Waals Equation01:10

Van der Waals Equation

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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws. 
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The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
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Mixed Insulating State for van der Waals CoPS3.

Yukun Jin1, Yichen Jin1, Kexin Li1

  • 1Department of Physics, Shanghai University, Shangda Road 99, 200444Shanghai, China.

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|November 3, 2022
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High-quality van der Waals CoPS3 single crystals were synthesized and characterized. This research classifies CoPS3 as a mixed Mott-Hubbard/charge-transfer insulator, advancing understanding of transition metal phosphorus trichalcogenides for spintronics and catalysis.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Solid-State Chemistry

Background:

  • Van der Waals materials represent a rapidly growing field in condensed matter physics.
  • Transition metal phosphorus trichalcogenides (CoPS3) are a novel class of layered materials with potential applications.
  • Understanding the electronic and structural properties is crucial for material exploitation.

Purpose of the Study:

  • To synthesize large-scale, high-quality van der Waals CoPS3 single crystals.
  • To systematically investigate the crystallographic structure and electronic properties of CoPS3.
  • To classify the electronic nature of CoPS3 and contribute to the understanding of transition metal phosphorus trichalcogenides.

Main Methods:

  • Chemical Vapor Transport (CVT) for single crystal synthesis.
  • X-ray Photoelectron Spectroscopy (XPS) for electronic structure analysis.
  • Near-edge X-ray Absorption Fine Structure (NEXAFS) spectroscopy.
  • Resonant Photoelectron Spectroscopy (RPES).
  • Density Functional Theory (DFT) calculations for theoretical validation.

Main Results:

  • Successful synthesis of large-scale, high-quality van der Waals CoPS3 single crystals.
  • Experimental and theoretical data confirm CoPS3 as a mixed Mott-Hubbard/charge-transfer insulator (U ≈ Δ).
  • Detailed characterization of crystallographic structure and electronic properties.

Conclusions:

  • The study provides a comprehensive understanding of the electronic and structural properties of CoPS3.
  • CoPS3 is classified as a mixed Mott-Hubbard/charge-transfer insulator.
  • Findings enrich the knowledge of transition metal phosphorus trichalcogenides, aiding their application in spintronics and catalysis.