使用张量超收缩加速Hartree-Fock和密度功能理论计算使用张量超收缩
Andreas Erbs Hillers-Bendtsen1,2, Todd J Martínez1,2
1Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, United States.
我们开发了一个张量超收缩 (THC) 方法来加速自相一致的场计算. 这种方法提供了更快的福克矩阵构造,使大蛋白系统的精确能量计算成为可能.
科学领域:
- 计算化学是一种计算化学.
- 量子化学是一种量子化学.
- 材料科学是一种材料科学.
背景情况:
- 像Hartree-Fock和密度函数理论这样的自一致场 (SCF) 方法在计算化学中至关重要.
- 加快这些计算密集型方法对于研究更大,更复杂的系统至关重要.
研究的目的:
- 开发和实施一种新的张量超收缩 (THC) 方法来加速SCF计算.
- 为了实现更高效的福克矩阵构造,减少计算缩放.
主要方法:
- 开发一个张量超收缩 (THC) 结构,具有 O ((N ^ 3) 正式缩放.
- 实施经验上O(N^2) 的缩放福克矩阵构造,避免重新计算两电子排斥积分.
- 使用密度差异替代品进行精确的能量计算.
主要成果:
- 与现有的整体直接方法相比,THC实现的速度是2至4倍.
- 在高达3000个基础函数的蛋白质系统中,对于相对能量的1kcal/mol以下的误差.
- 证明了使用线性溶解器优化THC的矩阵因子的有效性.
结论:
- 开发的THC方法显著加快了SCF计算.
- 这种方法可以为大型分子系统准确有效地计算电子结构.
- 使用线性溶解器的优化策略对THC方法具有广泛的适用性.
更多相关视频
12:11Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
10:52Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
Published on: April 12, 2019
相关概念视频
Hybridization of Atomic Orbitals II
Hybridization of Atomic Orbitals I
Van der Waals Equation
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...
Fermi Level Dynamics
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...
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
Valence Bond Theory and Hybridized Orbitals
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
