用机器学习预测单粒子密度矩阵
S Hazra1, U Patil1, S Sanvito1
1School of Physics and CRANN Institute, Trinity College, Dublin 2, Ireland.
Journal of chemical theory and computation
|May 31, 2024
概括
研究人员开发了一个神经网络来预测Kohn-Sham密度函数理论的密度矩阵. 这加快了电子结构计算,并使初始分子动力学模拟更快.
科学领域:
- 计算化学计算化学
- 材料科学 材料科学 材料科学
- 量子力学就是量子力学.
背景情况:
- 哈特里-福克和科恩-沙姆密度函数理论 (DFT) 对电子结构计算至关重要.
- 这些方法涉及施罗丁格式方程的代解决方案,其融合速度取决于系统复杂性,算法和初始猜测.
- 对于密度矩阵来说,一个好的初始猜测可以显著减少计算步骤.
研究的目的:
- 开发一种用于预测Kohn-Sham DFT中的密度矩阵的新方法.
- 提高电子结构计算和分子动力学模拟的效率.
- 仅使用原子位置,为密度矩阵提供优异的初始猜测.
主要方法:
- 构建一个以原子位置为输入的神经网络.
- 神经网络预测了Kohn-Sham DFT的密度矩阵.
- 对预测密度矩阵进行原子间力计算的评估.
主要成果:
- 神经网络提供了一个初始密度矩阵猜测,比现有方法要好得多.
- 预测的密度矩阵质量足以准确评估原子间力.
- 加速的初始分子动力学模拟可以通过最小的自相一致的步骤实现.
结论:
- 基于神经网络的密度矩阵预测为电子结构理论的计算效率提供了实质性的改进.
- 这种方法可促进更快,更准确的分子动力学模拟.
- 该方法对推进计算材料科学和量子化学研究具有前景.
相关概念视频
Predicting Molecular Geometry
34.3K
VSEPR Theory for Determination of Electron Pair Geometries
34.3K
Maxwell-Boltzmann Distribution: Problem Solving
1.5K
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
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
1.5K
Prediction Intervals
2.3K
The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
2.3K
Probability Distributions
6.9K
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
6.9K
Poisson Probability Distribution
7.8K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
7.8K
Density
14.8K
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...
14.8K


