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相关概念视频

MO Theory and Covalent Bonding02:40

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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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Molecular Orbital Theory I02:35

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Overview of Molecular Orbital Theory
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Applications of the Ideal Gas Law: Molar Mass, Density, and Volume03:43

Applications of the Ideal Gas Law: Molar Mass, Density, and Volume

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The volume occupied by one mole of a substance is its molar volume. The ideal gas law, PV = nRT,  suggests that the volume of a given quantity of gas and the number of moles in a given volume of gas vary with changes in pressure and temperature. At standard temperature and pressure, or STP (273.15 K and 1 atm), one mole of an ideal gas (regardless of its identity) has a volume of about 22.4 L — this is referred to as the standard molar volume.
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Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
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The test of the kinetic molecular theory (KMT) and its postulates is its ability to explain and describe the behavior of a gas. The various gas laws (Boyle’s, Charles’s, Gay-Lussac’s, Avogadro’s, and Dalton’s laws) can be derived from the assumptions of the KMT, which have led chemists to believe that the assumptions of the theory accurately represent the properties of gas molecules.
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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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Updated: Jan 10, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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多态密度函数理论:理论,方法和应用.

Yangyi Lu1, Jiali Gao1,2,3

  • 1Shenzhen Bay Laboratory, Institute of Systems and Physical Biology, Shenzhen, China.

Wiley interdisciplinary reviews. Computational molecular science
|November 20, 2025
PubMed
概括
此摘要是机器生成的。

本研究介绍了一种使用矩阵密度来精确计算电子状态的量子理论. 新的多态密度函数理论 (MSDFT) 方法准确地确定能量和密度,优于标准的DFT方法.

关键词:
哈密尔顿矩阵函数函数的函数.矩阵 密度 密度最少的活动空间.多态密度函数理论多态密度函数理论

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科学领域:

  • 量子化学 是一个量子化学.
  • 计算物理 计算物理
  • 材料科学 材料科学 材料科学

背景情况:

  • 标准密度函数理论 (DFT) 在准确描述复杂的电子结构和激发状态方面存在局限性.
  • 现有的方法往往与需要多状态处理的系统扎,需要更强大的理论框架.

研究的目的:

  • 开发适用于多态系统的密度函数的量子力学理论.
  • 建立一个框架来计算多个电子固态的精确能量和密度.
  • 引入一种新的计算方法,克服传统的DFT和时间依赖的DFT的局限性.

主要方法:

  • 引入了等级为 $N$ 的矩阵密度 $D(r) $ 作为基本变量,与哈密尔顿矩阵建立了对应.
  • 在最小活性空间 (MAS) 概念中定义了一个矩阵密度函数 $\mathcal{H}[D]$ 和相关矩阵函数 $\mathcal{E}^c[D]$ .
  • 开发了用于轨道优化和相关函数近似的非对角状态交互 (NOSI) 算法,导致MSDFT-NOSI方法.

主要成果:

  • 在$N$电子状态下实现了矩阵密度和哈密尔顿矩阵之间的一对一映射.
  • 证明精确的矩阵密度表示不需要超过$N^2$的斯莱特决定因素.
  • 在MSDFT-NOSI方法准确计算能量和密度的多个自身状态,与高水平波函数理论验证.

结论:

  • 开发的量子理论和MSDFT-NOSI方法为多态电子结构计算提供了准确而高效的方法.
  • 这种方法成功地解决了Kohn-Sham DFT和线性响应时间依赖的DFT失败的具有挑战性的系统.
  • 这些发现为量子化学和材料科学中更可靠的计算研究铺平了道路.