用机器学习对密度函数的系统特异性重组化:应用于过渡金属复合体的自旋分裂能量
Aaron G Garrison1, Heather J Kulik1,2
1Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, United States.
Journal of chemical theory and computation
|February 17, 2026
概括
通过将系统特定的Hartree-Fock交换 (HFX) 添加到密度函数来改进过渡金属复合体 (TMC) 的精确旋转分裂能量 (SSE) 计算. 机器学习模型预测最佳的HFX,减少错误,以获得更好的催化剂和材料设计.
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:
- 精确的旋转分裂能量 (SSE) 估计对于过渡金属复合物 (TMC) 催化剂和材料至关重要.
- 目前的方法在SSE中难以达到高精度,限制了可靠的建模.
- 密度函数理论 (DFT) 通常需要系统特定的调以获得最佳性能.
研究的目的:
- 开发一种可靠的方法,用于在TMC中准确的SSE计算.
- 研究将Hartree-Fock交换 (HFX) 添加到半语言函数的有效性.
- 建立一种机器学习 (ML) 方法,以系统依赖的方式预测最佳的HFX.
主要方法:
- 将Hartree-Fock交换 (HFX) 添加到半局部密度函数 (例如,PBE,SCAN) 的系统特定添加.
- 对450多个TMC的高级波函数理论 (DLPNO-CCSD(T)) 基准进行评估.
- 在电子密度上训练的Behler-Parrinello神经网络的开发,以预测最佳的HFX数量.
主要成果:
- 与参考DLPNO-CCSD (T) 值相比,添加特定系统的HFX可以显著减少错误.
- 全球重定量化,电离电位调整和基于原子属性的ML模型是不够的.
- 在未见的数据上,ML方法实现了<5%的HFX误差 (<3-4kcal/mol),与最先进的函数相竞争.
结论:
- 一个基于电子密度的ML衍生自调功能提供了一个实用和可解释的通往准确的SSE的路径.
- 这种方法可以更可靠,更有效地选TMC应用中的化学空间.
- 该方法提高了密度函数的准确性,用于关键材料科学和催化问题.
更多相关视频
05:37Rapid in-silico Battery Electrolyte Electrochemical Reaction Generation using 3T-VASP Multi-Scale Energy Minimization
Published on: August 22, 2025
706
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
9.0K
相关概念视频
02:42Valence Bond Theory
11.4K
Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
11.4K
02:46Crystal Field Theory - Tetrahedral and Square Planar Complexes
48.8K
Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than the dxy,...
48.8K
01:14Atomic Nuclei: Nuclear Spin State Population Distribution
2.4K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
2.4K
02:58Crystal Field Theory - Octahedral Complexes
31.1K
Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...
31.1K
03:02Colors and Magnetism
14.2K
Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human...
14.2K
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
355
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...
355