用对称性适配的神经网络构建了苯胺光解的高精度非绝热势能面。
Symmetry Adapted Residual Neural Network Diabatization: Conical Intersections in Aniline Photodissociation
- 基于对称性约束的残差神经网络,融合多项式与神经网络优势。
- 在36维空间中实现190 cm⁻¹均方误差,覆盖2269个数据点。
- 发现新激发态通过几何相位间接影响光解过程,适合量子化学研究者。
我们提出一种对称性适配的残差神经网络(SAResNet)二态化方法,用于构建中等规模体系的准二态哈密顿量,精确描述从头算绝态势能、能量梯度及非绝热耦合。该方法继承了对称性适配多项式与基本不变量神经网络二态化方法的优点,结合神经网络的强大表达能力与多项式的对称性透明性,适用于对称与非对称不可约表示。此外,对称性适配提供统一框架,支持残差网络结构,是前代前馈网络的强力演进。SAResNet被应用于苯胺N-H键光解的全36维耦合二态势能面构建,包含2,269个数据点和32,640个可训练参数,能量均方根偏差为190 cm⁻¹。除实验观测到的ππ*和πRydberg/πσ*态外,还发现一个更高能态(HOMO-1 π → Rydberg/σ*激发)引发诱导几何相位效应,从而间接参与光解过程。
原文摘要 · Abstract (English)
We present a symmetry adapted residual neural network (SAResNet) diabatization method to construct quasi-diabatic Hamiltonians that accurately represent ab initio adiabatic energies, energy gradients, and nonadiabatic couplings for moderate sized systems. Our symmetry adapted neural network inherits from the pioneering symmetry adapted polynomial and fundamental invariant neural network diabatization methods to exploit the power of neural network along with the transparent symmetry adaptation of polynomial for both symmetric and asymmetric irreducible representations. In addition, our symmetry adaptation provides a unified framework for symmetry adapted polynomial and symmetry adapted neural network, enabling the adoption of the residual neural network architecture, which is a powerful descendant of the pioneering feedforward neural network. Our SAResNet is applied to construct the full 36-dimensional coupled diabatic potential energy surfaces for aniline N-H bond photodissociation, with 2,269 data points and 32,640 trainable parameters and 190 cm-1 root mean square deviation in energy. In addition to the experimentally observed ππ* and πRydberg/πσ* states, a higher state (HOMO - 1 π to Rydberg/σ* excitation) is found to introduce an induced geometric phase effect thus indirectly participate in the photodissociation process.
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