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Pressure and Volume in an Adiabatic Process01:27

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Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is, 
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Adiabatic Processes for an Ideal Gas01:18

Adiabatic Processes for an Ideal Gas

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When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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Design Example: Traverse Angle Computations01:25

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Traverse angle computations are a critical component of surveying, used to compute the internal angles within a closed traverse. A traverse consists of a series of connected lines forming a closed loop, often used for land boundary delineation or mapping. Calculating the internal angles ensures accuracy in the traverse geometry and is essential for checking survey data integrity.The process begins with known azimuths and bearings of the traverse sides. Internal angles at each vertex are...
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Horizontal Curve: Problem Solving01:03

Horizontal Curve: Problem Solving

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A horizontal curve is characterized by its radius, intersection angle, and stationing of key points. In this case, the radius is 400 meters, and the angle of intersection is 30 degrees, with the station of the point of curvature (P.C.) at 0 + 150 meters. The goal is to determine the station values at the point of intersection (P.I.), point of tangency (P.T.), and midpoint of the curve, as well as the length of the long chord.The process begins with calculating the tangent distance (T) and the...
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Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
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对于双态亚亚巴特形交叉点的局部糖尿病化方法.

Eva Vandaele1, Momir Mališ1, Sandra Luber1

  • 1Department of Chemistry, University of Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland.

Journal of chemical theory and computation
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概括
此摘要是机器生成的。

本研究引入了一种使用电子结构计算分析形交叉点 (CI) 的新方法. 该方法可以计算没有波函数的非adiabatic合向量,这对于理解分子动力学至关重要.

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科学领域:

  • 量子化学 是一个量子化学.
  • 理论化学 理论化学
  • 计算化学的计算化学

背景情况:

  • 圆交点 (CIs) 是分子电子结构中的关键点,在这些点上,亚亚巴特状态变得退化.
  • 描述CI对于理解非adiabatic过程至关重要,例如内部转化和光化学反应.
  • 目前用于计算非adiabatic合 (NAC) 矢量的现有方法通常需要波函数,从而限制了它们的适用性.

研究的目的:

  • 开发一种新的,无波函数的方法论,用于形交叉点的局部表征.
  • 为了能够计算基于CI的能量梯度和Hessian的非adiabatic合向量.
  • 证明新方法在各种分子系统和计算层面上的广泛适用性.

主要方法:

  • 该方法识别了从海森和梯度在CI的分支空间坐标.
  • 在CI附近的潜在能量表面以糖尿病表示表示.
  • 非adiabatic合向量是使用基于能量,无波函数的方法计算的.

主要成果:

  • 该方法已成功地被应用到调查使用SA-CASSCF和XMS-CASPT2.2.在formamide (S1-S2) 中的最小能量CI (MECI).
  • 使用SA-CASSCF分析了环氨 (S0-S1) 中不对称的MECI.
  • 使用SA-CASSCF,TDDFT和XMS-CASPT2研究了 (S1-S2) 和硫 (S1-S2) 中的CI,展示了该方法的多功能性.

结论:

  • 开发的方法提供了一个强大的和多功能工具,用于表征形交叉点.
  • 这种无波函数的方法简化了NAC向量的计算,扩大了它们在理论化学中的可访问性.
  • 对多种系统的成功应用突显了该方法在推进非adiabatic分子动力学研究方面的潜力.