Abstract
Scalar coupling constant (SCC), directly measured by nuclear magnetic resonance (NMR) spectroscopy, is a key parameter for molecular structure analysis, and widely used to predict unknown molecular structure. Restricted by the high cost of NMR experiments, it is impossible to measure the SCC of unknown molecules on a large scale. Using density functional theory (DFT) to theoretically calculate the SCC of molecules is incredibly challenging, due to the cost of substantial computational time and space. Graph neural networks (GNN) of artificial intelligence (AI) have great potential in constructing molecular-like topology models, which endows them the ability to rapidly predict SCC through data-driven machine learning methods, and avoiding time-consuming quantum chemical calculations. With a priori knowledge of angles, we propose a graph angle-attention neural network (GAANN) model to predict SCC by means of some easily accessible related information. GAANN, with a multilayer message-passing network and a self-attention mechanism, can accurately simulate the molecular-like topological structure and predict molecular properties. Our simulations show that the prediction accuracy by GAANN, with the log(MAE) = −2.52, is close to that by DFT calculations. Different from conventional AI methods, GAANN combining the AI method with quantum chemistry theory (Karplus equation) has a strong physicochemical interpretability about angles. From an AI perspective, we find that bond angle has the highest correlation with the SCC among all angle features (dihedral angle, bond angle, geometric angles) about multiple coupling types in the small molecule datasets.
Highlights
Scalar coupling constant (SCC), directly measured by nuclear magnetic resonance (NMR) spectroscopy, is a key parameter for molecular structure analysis, and widely used to predict unknown molecular structure
To predict the value of SCCs, we propose a graph angle-attention neural network (GAANN) model which is a variant of the graph attention neural network[14,35]
We propose the GAANN model to predict SCCs, and GAANN achieves a high prediction accuracy of near density functional theory (DFT) calculation under the condition of log(MAE) of −2.52
Summary
Scalar coupling constant (SCC), directly measured by nuclear magnetic resonance (NMR) spectroscopy, is a key parameter for molecular structure analysis, and widely used to predict unknown molecular structure. The Karplus equation only applies to 3 J coupling constants, it kindles an enlightenment that the relevant angles play a crucial role of influencing all types of SCCs (1 J, 2 J, 3 J and etc.). Molecular structures affect the SCC via geometric configuration and electronic structure The former corresponds to bond length and bond angle, and the latter includes electronegativity of substituents and hybridization of o rbitals[9,12,15]. We obtain that the relevant angles between two coupled nuclei are closely related to the SCCs. Experimentally, a large number of methods has been developed for the determination of SCCs based on the NMR spectroscopy[4]. It remains a challenging task to efficiently determine the accurate values of SCCs especially for the system that consist of a large number of molecules with complex s tructures[2,16,17,18]
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