The fitting of potential energy and transition moment functions using neural networks:: transition probabilities in OH (A2Σ+→X2Π)

被引:28
作者
Bittencourt, ACP
Prudente, FV
Vianna, JDM
机构
[1] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil
[2] Univ Brasilia, Inst Fis, BR-70919970 Brasilia, DF, Brazil
关键词
neural networks; back-propagation; discrete variable representation; potential energy surfaces; transition probabilities; OH molecule;
D O I
10.1016/j.chemphys.2003.10.015
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We have studied the performance of the back-propagation neural network with different architectures and activation functions to fit potential energy curves and dipolar transition moment functions of the OH molecule from the ab initio data points of Bauschlicher and Langhoff [J. Chem. Phys. 87 (1987) 4665]. The neural network fittings are tested in different moments of the training process by computing the vibrational levels, the transition probabilities between A(2)Sigma(+) and X(2)Pi electronic states, and the radiative lifetimes. The results from the neural network fittings are then compared with experimental values, previous results calculated by Bauschlicher and Langhoff and the ones obtained by using of extended Rydberg function fitting. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:153 / 161
页数:9
相关论文
共 62 条
[1]   NEURAL-NETWORK SOLUTION OF THE SCHRODINGER-EQUATION FOR A 2-DIMENSIONAL HARMONIC-OSCILLATOR [J].
ANDROSIUK, J ;
KULAK, L ;
SIENICKI, K .
CHEMICAL PHYSICS, 1993, 173 (03) :377-383
[2]   Representation of potential energy surfaces by discrete polynomials: proton transfer in malonaldehyde [J].
Aquilanti, V ;
Capecchi, G ;
Cavalli, S ;
Adamo, C ;
Barone, V .
PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2000, 2 (18) :4095-4103
[3]   THEORETICAL DETERMINATION OF THE RADIATIVE LIFETIME OF THE A2-SIGMA+ STATE OF OH [J].
BAUSCHLICHER, CW ;
LANGHOFF, SR .
JOURNAL OF CHEMICAL PHYSICS, 1987, 87 (08) :4665-4672
[4]   FAST CURVE FITTING USING NEURAL NETWORKS [J].
BISHOP, CM ;
ROACH, CM .
REVIEW OF SCIENTIFIC INSTRUMENTS, 1992, 63 (10) :4450-4456
[5]   ADAPTIVE, GLOBAL, EXTENDED KALMAN FILTERS FOR TRAINING FEEDFORWARD NEURAL NETWORKS [J].
BLANK, TB ;
BROWN, SD .
JOURNAL OF CHEMOMETRICS, 1994, 8 (06) :391-407
[6]   NEURAL-NETWORK MODELS OF POTENTIAL-ENERGY SURFACES [J].
BLANK, TB ;
BROWN, SD ;
CALHOUN, AW ;
DOREN, DJ .
JOURNAL OF CHEMICAL PHYSICS, 1995, 103 (10) :4129-4137
[7]   Neural-network analysis of the vibrational spectra of N-acetyl L-alanyl N′-methyl amide conformational states -: art. no. 021905 [J].
Bohr, HG ;
Frimand, K ;
Jalkanen, KJ ;
Nieminen, RM ;
Suhai, S .
PHYSICAL REVIEW E, 2001, 64 (02) :13
[8]   Artificial neural network applied for predicting rainbow trajectories in atomic and molecular classical collisions [J].
Braga, AP ;
Braga, JP ;
Belchior, JC .
JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (23) :9954-9959
[9]   FAST TRAINING ALGORITHMS FOR MULTILAYER NEURAL NETS [J].
BRENT, RP .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1991, 2 (03) :346-354
[10]   Combining ab initio computations, neural networks, and diffusion Monte Carlo: An efficient method to treat weakly bound molecules [J].
Brown, DFR ;
Gibbs, MN ;
Clary, DC .
JOURNAL OF CHEMICAL PHYSICS, 1996, 105 (17) :7597-7604