The Theoretical Study of Anharmonic Vibrational Spectra of HOI
CHEN Heng-jie1, WANG Quan-wu1, ZHANG Jia-wei1, WANG Jun2
1. School of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China
2. School of Metallurgy and Matericals Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
摘要： 应用包含非迭代三激发(CCSD(T))、迭代三激发(CC3)及其变体(CCSDT-3)的耦合簇理论(CC)和密度泛函理论(DFT)之B3LYP方法，使用直到五阶的自洽相关一致基组aug-cc-pVxZ/aug-cc-pVxZ-PP(x=T, Q, 5)，首先优化出HOI的平衡结构，接着在该结构附近采样势能点并将其在简正坐标下拟合成直到四阶的多项式力场，依据该力场结合振动自洽场(VSCF)、振动组态相互作用(VCI)和二阶振动微扰理论(VPT2)进行非谐振动分析，精确预期了HOI的基频、直到v1+v2+v3=3的和频与倍频，得到其转动常数、旋振相互作用常数、非谐性常数和离心畸变常数，同时振子强度被估计，氘取代效应被进一步考察。结果表明：当前计算值与已知实验结果符合良好，其中耦合簇理论计算的振动光谱常数更加可靠，DFT误差明显偏大，但两者计算的振动频率却相当一致；并非基组越大，计算得到的非谐振动常数/频率与实验更符合，总体来讲CC3和CCSDT-3的结果更值得信赖；HOI/DOI都没有共振发生。
关键词：HOI；振动谱；非谐性力场；VPT2/VCI/VSCF；耦合簇理论
Abstract：The structure of the HOI molecule was optimized at first, by employing the coupled cluster theory (CC) with single, double, and perturbative triple excitations (CCSD(T)), the iterative triple excitations (CC3) and its variants (CCSDT-3), and the B3LYP method from the density functional theory (DFT) in conjunct with the Dunning’s correlation consistent basis sets aug-cc-pVxZ/aug-cc-pVxZ-PP(x=T, Q, 5). Then, a series of discrete potential energy points were extracted nearby the equilibrium structure, which have been fitted to fourth-order polynominal expansion force field in normal coordinate. In addition, the anharmonic vibrational analysis were performed by the vibrational self-consistent field (VSCF), the vibrational configuration interaction (VCI) and the second-order vibrational perturbation theory (VPT2), the fundamental, overtone and combination (v1+v2+v3＝3), the rotational constants, the vibrational-rotational interaction constants, anharmonic constants, centrifugal distortion constants have been expected, the oscillator strength has been evaluated, and the effect of Deuterium substitution was investigated. The results show that: first, the present calculated values are in good agreement with available experimental results, spectroscopic constants from coupled cluster theory (CC) are more reliable than DFT, the deviation from DFT is obviously large, but it is quite consistent with the vibrational frequencies between CC and DFT; Second, it is not the larger basis set that causes the better coincidence between calculations and experiments, in general, the CC3 and CCSDT-3 results are more credible. Third, there is no resonance occurred in HOI or DOI.
Key words：HOI; Vibration spectra; Anharmonic force field; VPT2/VCI/VSCF; Couple cluster theory
陈恒杰，王全武，张家伟，望 军. 基于非谐力场的HOI分子振动光谱研究[J]. 光谱学与光谱分析, 2018, 38(09): 2665-2671.
CHEN Heng-jie, WANG Quan-wu, ZHANG Jia-wei, WANG Jun. The Theoretical Study of Anharmonic Vibrational Spectra of HOI. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2018, 38(09): 2665-2671.
[1] Ge M F, Ma C P. Prog. Chem., 2009, 21(2/3): 307.
[2] Bedjanian Y, Poulet G. Chem. Rev., 2003, 103(12): 4639.
[3] Ogilvie J F, Salares V R, Newlands M J. Can. J. Chem., 1975, 53(2): 269.
[4] Walker N, Tevault D E, Smardzewski R R. J. Chem. Phys., 1978, 69(2): 564.
[5] Barnes I, Becker K H, Starcke J. Chem. Phys. Letts., 1992, 196(6): 578.
[6] Klaassen J J, Lindner J, Leone S R. J. Chem. Phys., 1996, 104(19): 7403.
[7] Ozeki H, Saito S. J. Chem. Phys., 2004, 120(11): 5110.
[8] Rauhut G, Hrenar T. Chem. Phys., 2008, 346(1-3): 160.
[9] Neff M, Rauhut G. J. Chem. Phys., 2009, 131(12): 124129.
[10] Stanton J F, Lopreore C L, Gauss J. J. Chem. Phys., 1998, 108(17): 7190.
[11] Oliveira-Filho A G S, Aoto Y A, Ornellas F R. J. Chem. Phys., 2011, 135: 044308.
[12] Werner H J, Knowles P J, Knizia G, et al. WIREs Comput. Mol. Sci., 2012, 2: 242.
[13] MOLPRO, version 2012, a Package of ab initio Programs, Werner H J, Knowles P J, Knizia G, et al. see http://www.molpro.net.
[14] CFOUR. a Quantum Chemical Program Package Written by Stanton J F, Gauss J, Harding M E, Szalay P G et al. For the current version, see http://www.cfour.de.
[15] Frisch M J, Trucks G W, Schlegel H B, et al. Gaussian 09, Revision D.01, Gaussian Inc, Wallingford, Con, USA, 2013.
[16] Deely C M. J. Mol. Spectrosc., 1987, 122(2): 481.
[17] Cohen E A, McRae G A, Tan T L, et al. J. Mol. Spectrosc., 1995, 173(1): 55.
[18] Zhao Y L, Wang M S, Yang C L, et al. Spectrochim. Acta Part A: Mol & Bio. Spectro., 2016, 164: 89.
[19] Zhao Y L, Wang M S, Yang C L, et al. J. Phys. B: At. Mol. Opt. Phys., 2017, 50: 155102.
[20] Xu Q, Wang M S, Zhao Y, et al. J. Phys. Chem., 2017, 121(37): 7009.
