论文标题
机器学习量子反应速率常数
Machine Learning Quantum Reaction Rate Constants
论文作者
论文摘要
由于多维势能表面上的反应物所需的动力学,因此精确量子反应速率常数的从头算计算以高成本。反过来,这阻碍了动力学对大型耦合反应的快速设计。为了克服这一障碍,对深度神经网络(DNN)进行了训练,以预测量子反应速率常数的对数乘以其反应分配函数 - 速率产物。该训练数据集是在内部生成的,并包含约150万个量子反应速率常数,用于在广泛的反应物质量和温度下计算的单,双,对称和不对称的一维电势。 DNN能够以1.1%的相对误差预测速率产物的对数。此外,在比较DNN预测与经典过渡状态理论之间的差异低于300K时,发现相对于确切差异,相对百分比误差为31%。还研究了测试集以外的系统,其中包括$ \ sf {h} $ + $ \ sf {h_2} $反应,氢在ni(100)上的扩散,吡啶对$ \ sf {ch_3br} $的pyridine反应在$ \ sf {ch_3br} $中,$ \ s $ \ s $ \ s $} $ + shs $ + + shs $ + shs + HCl反应。对于这些反应,在高温下,DNN预测是准确的,并且与较低温度下的确切速率非常吻合。这项工作表明,可以利用DNN来洞悉量子状态中的反应性。
The ab initio calculation of exact quantum reaction rate constants comes at a high cost due to the required dynamics of reactants on multidimensional potential energy surfaces. In turn, this impedes the rapid design of the kinetics for large sets of coupled reactions. In an effort to overcome this hurdle, a deep neural network (DNN) was trained to predict the logarithm of quantum reaction rate constants multiplied by their reactant partition function - rate products. The training dataset was generated inhouse and contains ~1.5 million quantum reaction rate constants for single, double, symmetric and asymmetric one-dimensional potentials computed over a broad range of reactant masses and temperatures. The DNN was able to predict the logarithm of the rate product with a relative error of 1.1%. Further, when comparing the difference between the DNN prediction and classical transition state theory at temperatures below 300K a relative percent error of 31% was found with respect to the exact difference. Systems beyond the test set were also studied, these included the $\sf{H}$ + $\sf{H_2}$ reaction, the diffusion of hydrogen on Ni(100), the Menshutkin reaction of pyridine with $\sf{CH_3Br}$ in the gas phase, the reaction of formalcyanohydrin with $\sf{HS^-}$ in water and the F + HCl reaction. For these reactions, the DNN predictions were accurate at high temperatures and in good agreement with the exact rates at lower temperatures. This work shows that one can take advantage of a DNN to gain insight on reactivity in the quantum regime.