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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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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.
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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Molecular Orbital Theory II03:51

Molecular Orbital Theory II

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Molecular Orbital Energy Diagrams
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MO Theory and Covalent Bonding02:40

MO Theory and Covalent Bonding

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The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
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Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
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Van der Waals Interactions01:24

Van der Waals Interactions

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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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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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将密度纠正密度函数理论扩展到大型分子系统

Youngsam Kim1, Mingyu Sim1, Minhyeok Lee1

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

The journal of physical chemistry letters
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概括
此摘要是机器生成的。

密度校正密度函数理论 (DC-DFT) 的计算使用双基法使得更高效. 这种方法加速了大型分子系统的哈特里-福克 (HF) 密度估计,增强了计算化学研究.

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科学领域:

  • 计算化学是一种计算化学.
  • 量子化学是一种量子化学.
  • 材料科学是一种材料科学.

背景情况:

  • 实际的密度校正密度函数理论 (DC-DFT) 计算通常依赖于计算密集的哈特里-福克 (HF) 密度,限制它们对大型系统的应用.
  • 对于超过一百个原子的系统,估计高频密度是一个重要的计算瓶.

研究的目的:

  • 为了提高Hartree-Fock密度校正密度函数理论 (HF-DC-DFT) 对大分子系统的适用性.
  • 引入和验证用于加速高频密度计算的双基法.

主要方法:

  • 采用双基法,利用较小的基数集的密度矩阵,在较大的基数集上近似计算HF解决方案.
  • 该方法在各种系统上进行了基准测试,包括GMTKN55数据库 (主要组化学) 和L7/S6L数据集 (大型分子系统).
  • 详细介绍了HF-r2SCAN-DC4最近的重定型,评估其性能影响.

主要成果:

  • 双基法在加速大型系统的高频密度估计方面表现出显著的有效性.
  • 基准证实了该方法在各种化学系统中的准确性和可靠性.
  • 对DNA和艾滋病毒系统的应用显示了与现有文献方法可比的结果.

结论:

  • 双基法有效地将HF-DC-DFT计算的实际范围扩展到更大,更复杂的分子系统.
  • 这种计算加速为研究复杂的生物和化学结构开辟了新的途径.
  • 在HF-r2SCAN-DC4重定量化保持性能,确保在DC-DFT应用程序的持续准确性.