dorsal/arxiv
View SchemaCombined first--principles calculation and neural--network correction approach as a powerful tool in computational physics and chemistry
| Authors | LiHong Hu, XiuJun Wang, LaiHo Wong, GuanHua Chen |
|---|---|
| Categories | |
| ArXiv ID | physics/0306075 |
| URL | https://arxiv.org/abs/physics/0306075 |
Abstract
Despite of their success, the results of first-principles quantum mechanical calculations contain inherent numerical errors caused by various approximations. We propose here a neural-network algorithm to greatly reduce these inherent errors. As a demonstration, this combined quantum mechanical calculation and neural-network correction approach is applied to the evaluation of standard heat of formation $\DelH$ and standard Gibbs energy of formation $\DelG$ for 180 organic molecules at 298 K. A dramatic reduction of numerical errors is clearly shown with systematic deviations being eliminated. For examples, the root--mean--square deviation of the calculated $\DelH$ ($\DelG$) for the 180 molecules is reduced from 21.4 (22.3) kcal$\cdotp$mol$^{-1}$ to 3.1 (3.3) kcal$\cdotp$mol$^{-1}$ for B3LYP/6-311+G({\it d,p}) and from 12.0 (12.9) kcal$\cdotp$mol$^{-1}$ to 3.3 (3.4) kcal$\cdotp$mol$^{-1}$ for B3LYP/6-311+G(3{\it df},2{\it p}) before and after the neural-network correction.
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"abstract": "Despite of their success, the results of first-principles quantum mechanical\ncalculations contain inherent numerical errors caused by various\napproximations. We propose here a neural-network algorithm to greatly reduce\nthese inherent errors. As a demonstration, this combined quantum mechanical\ncalculation and neural-network correction approach is applied to the evaluation\nof standard heat of formation $\\DelH$ and standard Gibbs energy of formation\n$\\DelG$ for 180 organic molecules at 298 K. A dramatic reduction of numerical\nerrors is clearly shown with systematic deviations being eliminated. For\nexamples, the root--mean--square deviation of the calculated $\\DelH$ ($\\DelG$)\nfor the 180 molecules is reduced from 21.4 (22.3) kcal$\\cdotp$mol$^{-1}$ to 3.1\n(3.3) kcal$\\cdotp$mol$^{-1}$ for B3LYP/6-311+G({\\it d,p}) and from 12.0 (12.9)\nkcal$\\cdotp$mol$^{-1}$ to 3.3 (3.4) kcal$\\cdotp$mol$^{-1}$ for\nB3LYP/6-311+G(3{\\it df},2{\\it p}) before and after the neural-network\ncorrection.",
"arxiv_id": "physics/0306075",
"authors": [
"LiHong Hu",
"XiuJun Wang",
"LaiHo Wong",
"GuanHua Chen"
],
"categories": [
"physics.data-an",
"physics.chem-ph",
"physics.comp-ph"
],
"title": "Combined first--principles calculation and neural--network correction approach as a powerful tool in computational physics and chemistry",
"url": "https://arxiv.org/abs/physics/0306075"
},
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