在ab initio时代的半经验量子化学数据和可差分编程:I.可差分的分子轨道理论
Martin Stöhr1,2, Todd J Martínez1,2
1Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California CA-94305, United States.
Journal of chemical theory and computation
|January 8, 2026
概括
这项研究提高了使用PyTorch的半经验量子化学 (SQC) 方法,以实现更快,更有效的参数化. 算法差异化提高了量子化学计算的计算成本和稳定性.
科学领域:
- 计算化学计算化学
- 量子化学 是一个量子化学.
- 方法开发 方法开发
背景情况:
- 半经验量子化学 (SQC) 方法通过解决有效的福克矩阵提供了快速洞察力.
- 标准化质量控制方法的参数化传统上具有挑战性,需要广泛的搜索或昂贵的梯度计算.
- 差异化编程的进步和获得高质量的初始数据的机会为高效的SQC开发提供了新的途径.
研究的目的:
- 扩展基于PyTorch的SQC方法的实施.
- 为了提高SQC快速参数化的通用适用性和稳定性.
- 提高梯度评估中的计算效率和数值稳定性.
主要方法:
- 在PyTorch.ch中实施全球算法考虑.
- 确保eigensolver和代自相一致场 (SCF) 程序的一般可区分性.
- 利用算法差异化进行梯度计算.
主要成果:
- 计算成本和内存足迹的显著改进.
- 在梯度评估中增加了数值稳定性.
- 一个强大的后端,用于高效的SQC参数化.
结论:
- 增强的PyTorch实现为SQC方法提供了显著的性能和稳定性收益.
- 这项工作为更高效和更容易获得的量子化学计算提供了基础.
- 开发的框架促进了SQC方法的快速和可靠的参数化.
相关概念视频
Molecular Orbital Theory II
26.8K
Molecular Orbital Energy Diagrams
26.8K
Molecular Orbital Theory I
46.8K
Overview of Molecular Orbital Theory
46.8K
Valence Bond Theory and Hybridized Orbitals
27.6K
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...
27.6K
Hybridization of Atomic Orbitals II
47.8K
sp3d and sp3d 2 Hybridization
47.8K
Hybridization of Atomic Orbitals I
65.4K
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...
65.4K
MO Theory and Covalent Bonding
13.5K
The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
13.5K


