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Density00:56

Density

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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...
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Density and Archimedes' Principle01:05

Density and Archimedes' Principle

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When a lump of clay is dropped into water, it sinks. But if the same lump of clay is molded into the shape of a boat, it starts to float. Because of its shape, the clay boat displaces more water than the lump and experiences a greater buoyant force, even though its mass is the same. The same holds true for steel ships. The average density of an object majorly determines if the object will float. If an object's average density is less than that of the surrounding fluid, it will float. The...
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Crystal Field Theory - Octahedral Complexes02:58

Crystal Field Theory - Octahedral Complexes

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Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
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¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

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When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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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

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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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Current Density01:21

Current Density

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The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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密度改善による結果の改善:密度修正密度関数理論

Eunji Sim1, Suhwan Song1, Stefan Vuckovic2,3

  • 1Department of Chemistry, Yonsei University, 50 Yonsei-ro Seodaemun-gu, Seoul 03722, Korea.

Journal of the American Chemical Society
|April 5, 2022
PubMed
まとめ

密度修正密度関数理論 (DC-DFT) は,近似電子密度からの誤差に対処することによって精度を改善します. ハートリー・フォックのようなより正確な密度を使用すると,特定の化学問題の結果を大幅に改善します.

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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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科学分野:

  • コンピュータ化学
  • 材料科学
  • 量子力学

背景:

  • 密度関数理論 (DFT) は,精度と計算コストのバランスのために広く使用されています.
  • 実用的なDFTは,交換相関エネルギーの近似値に依存し,近似電子密度につながります.
  • 電子密度の誤差は,特定の問題に対する DFT の結果に大きな影響を与える可能性があります.

研究 の 目的:

  • 密度修正DFT (DC-DFT) を導入し説明する.
  • DC-DFTが重要な改善をもたらす特定の化学および材料の問題を特定する.
  • DC-DFTがより正確な DFT 機能の開発につながる方法を探求する.

主な方法:

  • DFTの総エネルギー誤差に対する電子密度誤差の寄与を分析する.
  • より正確な電子密度 (例えば,ハートリー-フォック密度) を DFT フレームワーク内で使用することの影響を検討する.
  • DC-DFTが性能を改善した特定の化学システムと性質をレビューします.

主要な成果:

  • 電子密度から得られた誤差は,しばしばDFTでは無視できる.
  • 反応バリア,トルションバリア,ハロゲン結合,伸縮結合などの特定の問題では,密度エラーが重要になります.
  • ハートリー・フォック密度などのより正確な密度を使用すると,これらの困難なケースのDFTの精度が明らかに改善されます.

結論:

  • DC-DFTは,特定の文脈でDFTの精度を高めるための貴重なアプローチです.
  • この方法は,計算化学における電子密度の質の重要性を強調している.
  • 将来の作業は,固有の密度エラーを考慮し,さらなるアプリケーションを探求する機能の開発に焦点を当てるべきです.