通过混合分析和数字集成加速Fock构建
Yong Zhang1, Rongding Lei2, Bingbing Suo2
1Qingdao Institute for Theoretical and Computational Sciences and Center for Optics Research and Engineering, Shandong University, Qingdao 266237, P. R. China.
The journal of physical chemistry. A
|January 23, 2025
概括
本研究引入了一种混合分析-数值方案,以加快自相一致场 (SCF) 和时间依赖密度函数理论 (TDDFT) 的计算. 这种新方法结合了分析-MECP和分析-COSx,可以准确高效地计算大分子.
科学领域:
- 计算化学计算化学
- 量子化学 是一个量子化学.
- 理论化学 理论化学
背景情况:
- 自相一致的场 (SCF) 和时间依赖密度函数理论 (TDDFT) 的计算是计算密集的,特别是对于大分子.
- 加快Fock构建,包括计算库伦 (J) 和交换 (K) 矩阵,对于提高计算效率至关重要.
研究的目的:
- 开发和实施混合分析和数字集成方案,以加快Fock构建的SCF和TDDFT计算.
- 为了提高扩展基数集的大分子计算的效率.
主要方法:
- 一种混合方法,结合分析和数值集成,用于库伦矩阵 (J) 评估,称为分析-MECP (aMECP).
- 一个修订的链球 (COSX) 算法用于交换矩阵 (K) 评估,称为分析COSx (aCOSx).
- 密度矩阵分解为原子密度矩阵和其余部分用于选择性分析和数值处理.
主要成果:
- aMECP和aCOSx的组合可以实现高精度的基态SCF计算,能量误差最小 ().
- 混合方案表明,大分子和扩展基数集的效率显著提高.
- 对于TDDFT激发能,MECP和COSx的中型和粗型电网分别足够.
结论:
- 拟议的分析-MECP和分析-COSx混合Fock构建方案可以大幅加快SCF和TDDFT计算.
- 这种方法对大型分子系统特别有利,使量子化学计算更加可行和高效.
- 混合方法的准确性和效率为计算化学中的更广泛应用铺平了道路.
相关概念视频
Accelerating Fluids
1.0K
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
1.0K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
38
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
38
Numerical Calculations
342
In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
342
Navier–Stokes Equations
419
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
419
Turbulent Flow: Problem Solving
89
Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
89
Newtonian Fluid: Problem Solving
181
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
181


