从密度函数理论中的信息理论方法获得能量信息,作为物理化学性质的定量测量
Xin He1, Tian Lu2, Chunying Rong3
1Institute of Frontier Chemistry, School of Chemistry and Chemical Engineering, Shandong University, Qingdao, Shandong 266237, China.
Journal of chemical theory and computation
|July 12, 2024
概括
本研究使用密度函数理论 (DFT) 中的信息理论方法量化能量信息. 某些信息量与各种物理化学性质有很强的相关性,这表明它们可以用作定量测量.
科学领域:
- * 计算化学 计算机化学
- * * 量子化学 量子化学
- * 理论化学 理论化学
背景情况:
- *霍恩伯格-科恩定理在密度函数理论 (DFT) 中确定了能量作为电子密度的函数.
- *这意味着能量包含了关于电子密度的基本信息.
- * 信息理论方法 (ITA) 曾被提议用于量化DFT内部的能量信息.
研究的目的:
- * 系统地应用和验证量化能量信息作为物理化学性质的测量.
- * 探索各种信息理论量和各种化学现象之间的相关性.
- * 确定分子系统的强大的能量信息描述器.
主要方法:
- *采用了六个信息理论方法 (ITA) 量 (例如,香农,费舍尔信息).
- * 为五种不同的能量密度计算了这些量,得到了二十六个能量信息描述器.
- *将这些描述符与广泛的物理化学性质相关联.
主要成果:
- * 不同的能量信息量显示出与不同属性的不同相关性.
- *总动能密度的香农和保利能量密度的信息增益出现了强烈的相关性.
- *这些精选数量表明了多种类型的分子系统和属性的强有力的相关性.
结论:
- * 某些能量信息量可以作为物理化学性质的定量测量.
- * 这项工作扩大了对DFT中的能源信息关系的理解.
- *新引入的密度函数为化学中的机器学习模型提供了潜在的特性.
更多相关视频
12:11Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
8.2K
08:54Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
Published on: January 25, 2020
5.7K
相关概念视频
The Quantum-Mechanical Model of an Atom
42.2K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.2K
Arrhenius Plots
39.2K
The Arrhenius equation relates the activation energy and the rate constant, k, for chemical reactions. In the Arrhenius equation, k = Ae−Ea/RT, R is the ideal gas constant, which has a value of 8.314 J/mol·K, T is the temperature on the kelvin scale, Ea is the activation energy in J/mole, e is the constant 2.7183, and A is a constant called the frequency factor, which is related to the frequency of collisions and the orientation of the reacting molecules.
The Arrhenius equation can be used...
The Arrhenius equation can be used...
39.2K
Density
14.7K
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...
14.7K
Energy Associated With a Charge Distribution
1.5K
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
1.5K
The Uncertainty Principle
23.3K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
23.3K
Energy Carried By Electromagnetic Waves
2.9K
Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...
2.9K
