应用空间组对称来加快在数值原子轨道的框架内的混合功能计算
Yu Cao1,2, Min-Ye Zhang1,3, Peize Lin1,4
1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
Journal of chemical theory and computation
|August 11, 2025
概括
本研究介绍了大型周期系中混合密度函数 (HDF) 计算的新算法. 通过利用空间群对称性,它显著加快了涉及k点和哈密尔顿构造的计算.
科学领域:
- 计算化学的计算化学
- 材料科学 材料科学 材料科学
- 固态物理 固态物理
背景情况:
- 混合密度函数 (HDF) 的高效实施对于大规模周期系统至关重要.
- 数值原子轨道基和局部分辨率的身份 (RI) 技术是建立的方法.
- 利用晶体对称性可以进一步优化计算效率.
研究的目的:
- 开发和实施一个算法,利用空间组对称性在HDF计算.
- 提高解决Kohn-Sham方程和构造哈密尔顿式的效率.
- 为了实现周期系统的计算化学模拟的显著加快速度.
主要方法:
- 开发了一种算法,将空间组对称性集成到HDF计算中.
- 在ABACUS软件中实现了算法,与LibRI接口.
- 在不同对称度的各种晶体系统上测试了性能.
- 利用了数值原子轨道基和本地化辨别身份 (RI) 技术.
主要成果:
- 减少了Brillouin区域中的k点的数量,减少了Kohn-Sham方程的数量.
- 在真实空间加速了哈密尔顿的精确交换部分的构建.
- 解决Kohn-Sham方程的速度提升与k点减小成比例.
- 在哈密尔顿构造中观察到几倍加速,这取决于系统的大小和对称性.
结论:
- 开发的算法有效地利用空间群对称性来加速HDF计算.
- 这种方法为大型周期系统提供了大量的计算节省.
- 在ABACUS中的实现为先进材料模拟提供了一个实用的工具.
更多相关视频
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.5K
13:56Probe Type II Band Alignment in One-Dimensional Van Der Waals Heterostructures Using First-Principles Calculations
Published on: October 12, 2019
7.7K
相关概念视频
Hybridization of Atomic Orbitals I
49.0K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
49.0K
Valence Bond Theory and Hybridized Orbitals
21.6K
According to valence bond theory, a covalent bond results when: (1) an orbital on one atom overlaps an orbital on a second atom, and (2) the single electrons in each orbital combine to form an electron pair. The strength of a covalent bond depends on the extent of overlap of the orbitals involved. Maximum overlap is possible when the orbitals overlap on a direct line between the two nuclei.
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
A σ bond (single bond in a Lewis structure) is a covalent bond in which the electron density is...
21.6K
Hybridization of Atomic Orbitals II
33.7K
sp3d and sp3d 2 Hybridization
33.7K
Atomic Orbitals
35.0K
An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
35.0K
Molecular Orbital Theory I
32.8K
Overview of Molecular Orbital Theory
32.8K
Molecular Orbital Theory II
19.7K
Molecular Orbital Energy Diagrams
19.7K
