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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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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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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
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Fermi Level Dynamics01:12

Fermi Level Dynamics

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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
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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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Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

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In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
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Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
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基于变量量子自溶解和通缩的多体扩展用于动态相关性.

Enhua Xu1, Yuma Shimomoto1, Seiichiro L Ten-No1

  • 1Graduate School of System Informatics, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe, Hyogo 657-8501, Japan.

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概括

本研究介绍了一种使用多体膨胀 (MBE) 来计算分子能量的量子计算方法. 该方法准确地确定了基态和兴奋状态,显示了复杂化学系统的前景.

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科学领域:

  • 量子计算是一种量子计算.
  • 计算化学计算化学
  • 电子结构理论 电子结构理论

背景情况:

  • 精确计算分子电子结构对于理解化学性质和反应至关重要.
  • 现有的方法面临着与强烈相关的系统和计算资源需求的挑战.
  • 多体扩展 (MBE) 提供了基于碎片的方法来简化复杂的电子结构计算.

研究的目的:

  • 开发和验证基于量子计算的多体膨胀 (MBE) 框架,用于计算地面和激发状态能量.
  • 通过使用变量量子自溶解器和通缩算法,评估拟议的MBE方法的准确性和资源效率.
  • 调查近似和噪声对分子系统能量计算的影响.

主要方法:

  • 利用多体扩张 (MBE) 将电子结构分解成可管理的碎片.
  • 采用变量量子自溶解器 (VQE) 和通缩算法来解决碎片能量.
  • 嵌入近似,例如单元合集群单双 (UCCSD) 运算符的部分概括,以节省量子资源.

主要成果:

  • 成功计算了包括LiH,CH+和H2O在内的分子的基态和激发状态能量.
  • 研究了H2O和N2中断键的潜在能量表面,证明了可靠的描述.
  • 模型模拟突出了低级MBE碎片精确能量估计的关键重要性,特别是在射击噪声方面.

结论:

  • 量子增强的MBE方法为确定分子能量提供了一种可靠的方法,包括对强相关系系统的确定.
  • 拟议的近似方法有效地节约了量子资源,同时保持了准确性.
  • 精确的能量计算对于MBE在量子化学中的成功应用至关重要.