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是否应该使用当代密度泛函理论方法来研究自由基反应的热力学?

Should contemporary density functional theory methods be used to study the thermodynamics of radical reactions?

作者信息

Izgorodina Ekaterina I, Brittain David R B, Hodgson Jennifer L, Krenske Elizabeth H, Lin Ching Yeh, Namazian Mansoor, Coote Michelle L

机构信息

ARC Centre of Excellence in Free-Radical Chemistry and Biotechnology, Research School of Chemistry, Australian National University, Canberra ACT 0200, Australia.

出版信息

J Phys Chem A. 2007 Oct 25;111(42):10754-68. doi: 10.1021/jp075837w. Epub 2007 Sep 22.

Abstract

The performance of a variety of DFT functionals (BLYP, PBE, B3LYP, B3P86, KMLYP, B1B95, MPWPW91, MPW1B95, BB1K, MPW1K, MPWB1K, and BMK), together with the ab initio methods RHF, RMP2, and G3(MP2)-RAD, and with ONIOM methods based on combinations of these procedures, is examined for calculating the enthalpies of a range of radical reactions. The systems studied include the bond dissociation energies (BDEs) of R-X (R = CH3, CH2F, CH2OH, CH2CN, CH2Ph, CH(CH3)Ph, C(CH3)2Ph; X = H, CH3, OCH3, OH, F), RCH(Ph)-X (R = CH3, CH3CH2, CH(CH3)2, C(CH3)3, CH2F, CH2OH, CH2CN; X = H, F), R-TEMPO (R = CH3, CH2CH3, CH(CH3)2, C(CH3)3, CH2CH2CH3, CH2F, CH2OH, CH2CN, CH(CN)CH3, CH(Cl)CH3; TEMPO = 2,2,6,6,-tetramethylpiperidin-1-yloxyl) and HM1M2-X (M1, M2 = CH2CH(CH3), CH2CH(COOCH3), CH2C(CH3)(COOCH3); X = Cl, Br), the beta-scission energies of RXCH2* and RCH2CHPh* (R = CH3, CH2CH3, CH(CH3)2, C(CH3)3; X = O, S, CH2), and the enthalpies of several radical addition, ring-opening, and hydrogen- and chlorine-transfer reactions. All of the DFT methods examined failed to provide an accurate description of the energetics of the radical reactions when compared with benchmark G3(MP2)-RAD values, with all methods tested showing unpredictable deviations of up to 40 kJ mol-1 or more in some cases. RMP2 also shows large deviations from G3(MP2)-RAD in the absolute values of the enthalpies of some types of reaction and, although it fares somewhat better than the DFT methods in modeling the relative values, it fails for substituents capable of strongly interacting with the unpaired electron. However, it is possible to obtain cost-effective accurate calculations for radical reactions using ONIOM-based procedures in which a high-level method, such as G3(MP2)-RAD, is only used to model the core reaction (which should contain all substituents alpha to the reaction center), and the full system is modeled using a lower-cost procedure such as RMP2.

摘要

研究了多种密度泛函理论(DFT)泛函(BLYP、PBE、B3LYP、B3P86、KMLYP、B1B95、MPWPW91、MPW1B95、BB1K、MPW1K、MPWB1K和BMK),以及从头算方法RHF、RMP2和G3(MP2)-RAD,还有基于这些程序组合的ONIOM方法,用于计算一系列自由基反应的焓。所研究的体系包括R-X(R = CH3、CH2F、CH2OH、CH2CN、CH2Ph、CH(CH3)Ph、C(CH3)2Ph;X = H、CH3、OCH3、OH、F)、RCH(Ph)-X(R = CH3、CH3CH2、CH(CH3)2、C(CH3)3、CH2F、CH2OH、CH2CN;X = H、F)、R-TEMPO(R = CH3、CH2CH3、CH(CH3)2、C(CH3)3、CH2CH2CH3、CH2F、CH2OH、CH2CN、CH(CN)CH3、CH(Cl)CH3;TEMPO = 2,2,6,6-四甲基哌啶-1-氧基)和HM1M2-X(M1、M2 = CH2CH(CH3)、CH2CH(COOCH3)、CH2C(CH3)(COOCH3);X = Cl、Br)的键解离能(BDEs),RXCH2和RCH2CHPh(R = CH3、CH2CH3、CH(CH3)2、C(CH3)3;X = O、S、CH2)的β-断裂能,以及几个自由基加成、开环、氢转移和氯转移反应的焓。与基准G3(MP2)-RAD值相比,所研究的所有DFT方法都未能准确描述自由基反应的能量学,所有测试方法在某些情况下显示出高达40 kJ mol-1或更高的不可预测偏差。RMP2在某些类型反应的焓绝对值上也与G3(MP2)-RAD有很大偏差,尽管它在模拟相对值方面比DFT方法稍好,但对于能够与未成对电子强烈相互作用的取代基则不适用。然而,使用基于ONIOM的程序可以获得成本效益高的自由基反应精确计算,其中仅使用诸如G3(MP2)-RAD等高阶方法来模拟核心反应(应包含反应中心α位的所有取代基),而整个体系则使用诸如RMP2等低成本程序进行模拟。

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