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Related Concept Videos

Density00:56

Density

14.9K
Density is an important characteristic of substances, crucial in determining whether an object sinks or floats in a fluid. Its SI unit is kg/m3, and its cgs unit is g/cm3. The density of an object helps in identifying its composition, and also reveals information about the phase of the matter and its substructure. The densities of liquids and solids are roughly comparable, consistent with the fact that their atoms are in close contact. However, gases have much lower densities than liquids and...
14.9K
Van der Waals Equation01:10

Van der Waals Equation

4.2K
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.
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
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Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation

34.8K
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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Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

4.0K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
4.0K
Molecular Geometry and Dipole Moments02:36

Molecular Geometry and Dipole Moments

13.2K
The VSEPR theory can be used to determine the electron pair geometries and molecular structures as follows:
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Van der Waals Interactions01:24

Van der Waals Interactions

64.2K
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.
64.2K

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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Density-Corrected Density Functional Theory for Molecular Properties.

Pierpaolo Morgante1, Jochen Autschbach1

  • 1Department of Chemistry, University at Buffalo, State University of New York, Buffalo, New York 14260-3000, United States.

The Journal of Physical Chemistry Letters
|May 23, 2023
PubMed
Summary
This summary is machine-generated.

Density-corrected density functional theory (DC-DFT) shows promise for calculating molecular properties. While effective for electric field gradients, its impact on polarizability requires further investigation.

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Area of Science:

  • Quantum Chemistry
  • Computational Materials Science
  • Theoretical Chemistry

Background:

  • Self-interaction error (SIE) is a known limitation in density functional theory (DFT).
  • Density-corrected DFT (DC-DFT) offers a potential solution by incorporating Hartree-Fock electron density non-self-consistently.
  • Previous evaluations of DC-DFT primarily focused on total energy differences.

Purpose of the Study:

  • To systematically evaluate the performance of DC-DFT for molecular properties beyond total energies.
  • To assess DC-DFT's accuracy for dipole moments, static polarizabilities, and electric field gradients (EFGs).
  • To compare DC-DFT results with accurate coupled-cluster reference data.

Main Methods:

  • Implementation of the density-corrected DFT (DC-DFT) procedure.
  • Generation of high-accuracy reference data using coupled-cluster theory.
  • Calculation and comparison of molecular properties (dipole moments, polarizabilities, EFGs) using both DC-DFT and standard self-consistent DFT.

Main Results:

  • DC-DFT generally performs well for electric field gradients (EFGs), including challenging cases like CuCl.
  • DC-DFT shows no detrimental effect on dipole moment calculations.
  • A negative impact of DC-DFT on polarizability was observed in at least one molecular case.

Conclusions:

  • DC-DFT is a viable method for calculating electric field gradients with high accuracy.
  • The performance of DC-DFT for polarizability calculations may require further refinement.
  • This study provides a systematic assessment of DC-DFT for various molecular properties, guiding future applications.