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Transformation to a geminal basis and stationary conditions for the exact wave function therein 向geminal基础的转换及其精确波函数的静止条件
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-18 DOI: 10.1007/s00214-024-03131-y
Lasse Kragh Sørensen

We show the transformation from a one-particle basis to a geminal basis, transformations between different geminal bases demonstrate the Lie algebra of a geminal basis. From the basis transformations, we express both the wave function and Hamiltonian in the geminal basis. The necessary and sufficient conditions of the exact wave function expanded in a geminal basis are shown to be a Brillouin theorem of geminals. The variational optimization of the geminals in the antisymmetrized geminal power (AGP), antisymmetrized product of geminals (APG) and the full geminal product (FGP) wave function ansätze are discussed. We show that using a geminal replacement operator to describe geminal rotations introduce both primary and secondary rotations. The secondary rotations rotate two geminals in the reference at the same time due to the composite boson nature of geminals. Due to the completeness of the FGP, where all possible geminal combinations are present, the FGP is exact. The number of parameters in the FGP scale exponentially with the number of particles, like the full configuration interaction (FCI). Truncation in the FGP expansion can give compact representations of the wave function since the reference function in the FGP can be either the AGP or APG wave function.

我们展示了从单粒子基到geminal基的变换、不同geminal基之间的变换以及geminal基的李代数。从基变换中,我们可以在基上表达波函数和哈密顿。在geminal基中展开精确波函数的必要条件和充分条件被证明是geminals的布里渊定理。我们还讨论了反不对称geminal幂(AGP)、反不对称geminal乘积(APG)和全geminal乘积(FGP)波函数ansätze中geminals的变分优化。我们表明,使用宝石置换算子来描述宝石旋转会引入主旋转和次旋转。由于geminal的复合玻色子性质,二次旋转会同时旋转参考中的两个geminal。由于 FGP 的完备性,即所有可能的 geminal 组合都存在,FGP 是精确的。FGP中的参数数量与粒子数量成指数关系,就像全构型相互作用(FCI)一样。由于 FGP 中的参考函数既可以是 AGP 波函数,也可以是 APG 波函数,因此在 FGP 扩展中进行截断可以紧凑地表示波函数。
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引用次数: 0
Structure and properties of 4a,5,7a, 8-tetrahydro-4H-imidazolo [4,5-b] [1, 2, 5] oxadiazolo [3,4-e] pyrazine-6 (7H)-ketone based energetic derivatives 4a,5,7a,8-四氢-4H-咪唑并[4,5-b] [1, 2, 5]噁二唑并[3,4-e] 吡嗪-6 (7H)-酮基高能衍生物的结构和性质
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-17 DOI: 10.1007/s00214-024-03127-8
Mengjie Bo, Zikai Gao, Zhihui Gu, Peng Ma, Congming Ma

During the research process, it was found that compounds with the "565" ring structure exhibited excellent detonation performance, which led to further investigation. TIOP (4a,5,7a, 8-tetrahydro-4H-imidazolo [4,5-b][1,2,5] oxadiazolo [3,4-e] pyrazine-6 (7H) -ketone) energetic compound has been designed. This article uses TIOP as the precursor and designs 54 "TIOP-based energetic derivatives" by introducing energetic groups such as –ONO2, –NHNH2, and –NH2. Among these energetic compounds, their maximum density, maximum detonation velocity, and maximum detonation pressure can reach 2.09 g/cm (D6), 10.07 km/s (D4), and 46.58 GPa (D7). Comprehensive analysis shows that energetic compounds A7, D4, D7, and F7 can reach a good equilibrium among high energy and low sensitivity, and can be further studied as potential High Energy Density Compounds. Using Gaussian16 software and the Multiwfn 3.8 software package, the B3LYP method in density functional theory was used to optimize the structure of 54 derivatives, calculate their heat of formation, and further analyze the intermolecular interactions.

在研究过程中,人们发现具有 "565 "环结构的化合物具有优异的引爆性能,从而引发了进一步的研究。设计出了 TIOP(4a,5,7a, 8-四氢-4H-咪唑并[4,5-b][1,2,5]恶二唑并[3,4-e]吡嗪-6 (7H) -酮)高能化合物。本文以 TIOP 为前体,通过引入 -ONO2、-NHNH2 和 -NH2 等高能基团,设计出 54 种 "基于 TIOP 的高能衍生物"。这些高能化合物的最大密度、最大爆速和最大爆压分别达到 2.09 g/cm(D6)、10.07 km/s(D4)和 46.58 GPa(D7)。综合分析表明,高能化合物 A7、D4、D7 和 F7 在高能量和低灵敏度之间达到了良好的平衡,可作为潜在的高能量密度化合物进一步研究。利用 Gaussian16 软件和 Multiwfn 3.8 软件包,采用密度泛函理论中的 B3LYP 方法优化了 54 种衍生物的结构,计算了它们的形成热,并进一步分析了分子间的相互作用。
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引用次数: 0
Molecular design and energetic properties of 4H, 8H difurazano [3,4-b; 3′, 4′-e] pyrazine derivatives 4H, 8H 二呋喃并 [3,4-b; 3′, 4′-e] 吡嗪衍生物的分子设计和能量特性
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-17 DOI: 10.1007/s00214-024-03128-7
Zikai Gao, Zhihui Gu, Mengjie Bao, Jiani Xu, Tingting Xiao, Jun Chen, Peng Ma, Congming Ma

Forty-five “4H, 8H difurazano[3,4-b;3′,4′-e] pyrazine (DFP) based energetic derivatives” were designed, and their heat of formation, stability, detonation performance, and impact sensitivity properties were comprehensively studied using density functional theory. The changes in these properties caused by changes in the type and quantity of substituents were analyzed. The results showed that the density range of DFP based energetic derivatives was 1.62–2.02 g/cm, the detonation velocity range was 7.02–9.18 km/s, and the detonation pressure range was 20.99–38.72 GPa. The introduction of –NH2 and –NHNH2 groups can effectively reduce the chemical reactivity of the compounds, while the introduction of –NHNH2 groups can efficiently improve the heat of formation and detonation performance of the compounds and reduce the sensitivity of the derivatives. Compounds B8 (4H, 8H bis ([1,2,5] oxadiazolo) [3,4-b:3′,4′-e] pyrizine-4,8-diyl nitrate), C8 (8-(trinitromethyl)-4H, 8H bis ([1,2,5] oxadiazolo) [3,4-b:3′,4′-e] pyrizin-4-yl nitrate), E4 (N-(8-hydrazine-4H, 8H bis ([1,2,5] oxadiazolo) [3,4-b:3′,4′-e] pyrizin-4-yl) nitrate, E8 (8-(nitroamino)-4H, 8H bis([1,2,5] oxadiazolo) [3,4-b:3′,4′-e] pyrizin-4-yl nitrate) can be used as candidates for high-energy density materials.

设计了 45 种 "4H、8H 二呋喃并[3,4-b;3′,4′-e] 吡嗪(DFP)基高能衍生物",并利用密度泛函理论对其形成热、稳定性、起爆性能和冲击敏感性等特性进行了全面研究。分析了取代基类型和数量的变化引起的上述性质的变化。结果表明,基于 DFP 的高能衍生物的密度范围为 1.62-2.02 g/cm,爆速范围为 7.02-9.18 km/s,爆压范围为 20.99-38.72 GPa。引入 -NH2 和 -NHNH2 基团可有效降低化合物的化学反应活性,而引入 -NHNH2 基团可有效改善化合物的形成热和起爆性能,并降低衍生物的敏感性。化合物 B8(4H、8H 双([1,2,5] 恶二唑)[3,4-b:3′,4′-e] 吡嗪-4,8-二基硝酸盐)、C8(8-(三硝基甲基)-4H、8H 双([1,2,5] 恶二唑)[3,4-b:3′,4′-e]吡嗪-4-基硝酸盐)、E4(N-(8-肼-4H, 8H 双([1,2,5] 恶二唑)[3,4-b:3′,4′-e]吡嗪-4-基)硝酸盐、E8(8-(硝基氨基)-4H, 8H 双([1,2,5] 恶二唑)[3,4-b:3′,4′-e]吡嗪-4-基硝酸盐)可用作高能量密度材料的候选材料。
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引用次数: 0
Computational screening of matrix metalloproteinase 3 inhibitors to counteract skin aging from phytochemicals of Nelumbo nucifera Gaertn 从 Nelumbo nucifera Gaertn 的植物化学物质中计算筛选基质金属蛋白酶 3 抑制剂以抗击皮肤老化
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-05 DOI: 10.1007/s00214-024-03125-w
Amisha Bisht, Disha Tewari, Kalpana Rawat, Shilpi Rawat, Mohammad Ali Abdullah Almoyad, Shadma Wahab, Sanjay Kumar, Subhash Chandra

Human matrix metalloproteinase 3 (MMP3), also known as Stromelysin-1, is involved in various cellular processes, including skin aging, making it an attractive drug target against skin aging. This study aims to apply different ML algorithms to develop a prediction model for the MMP3 inhibitor dataset (ChEMBL283) from the ChEMBL database. ML experiments were performed using the Python programming language. Seven machine learning algorithms, namely neural network, decision tree, Xgboost, CatBoost, random forest, LightGBM, and extra trees, were applied to classify molecules as active or inactive (coded 1 or 0) using AutoML. ML models underwent an evaluation process that included ROC plots, a confusion matrix, and a set of statistical measures. These evaluations demonstrated the exceptional predictive capability of the Extra Trees algorithm, achieving a remarkable accuracy rate of 85.8%. The most effective ML model identified 79 active MMP3 inhibitory phytochemicals in Nelumbo nucifera. Molecular docking confirmed the strong binding of seven phytochemicals to MMP3, suggesting their potential as inhibitors. Following Lipinski's rule, three compounds—liensinin, isoliensinin, and isovitex—showed promise in molecular dynamics studies (100 ns) and MM-PBSA analysis (last 30 ns). They exhibited the lowest binding free energies, namely − 112.684 kJ/mol, − 194.871 kJ/mol, and − 101.551 kJ/mol, respectively, compared to the HQQ-MMP3 complex (− 95.410 kJ/mol), suggesting their potential as candidates for MMP3 inhibition. The study highlights the effectiveness of ML and the relative accuracy of MD simulations in screening phytochemicals for dermatological research and provides innovative opportunities for designing MMP3 inhibitors in the future.

人类基质金属蛋白酶 3(MMP3)又称 Stromelysin-1,参与了包括皮肤衰老在内的多种细胞过程,因此是一个极具吸引力的抗皮肤衰老药物靶点。本研究旨在应用不同的 ML 算法为 ChEMBL 数据库中的 MMP3 抑制剂数据集(ChEMBL283)建立预测模型。ML 实验使用 Python 编程语言进行。七种机器学习算法(即神经网络、决策树、Xgboost、CatBoost、随机森林、LightGBM 和额外树)被用于使用 AutoML 将分子分类为活性或非活性(编码为 1 或 0)。ML 模型的评估过程包括 ROC 图、混淆矩阵和一系列统计测量。这些评估结果表明 Extra Trees 算法具有卓越的预测能力,准确率高达 85.8%。最有效的 ML 模型在 Nelumbo nucifera 中发现了 79 种抑制 MMP3 的活性植物化学物质。分子对接证实了七种植物化学物质与 MMP3 的强结合,表明它们具有抑制剂的潜力。根据 Lipinski 规则,三种化合物--liensinin、isoliensinin 和 isovitex--在分子动力学研究(100 ns)和 MM-PBSA 分析(最后 30 ns)中表现出了良好的前景。与 HQQ-MMP3 复合物(- 95.410 kJ/mol)相比,它们的结合自由能最低,分别为 - 112.684 kJ/mol、- 194.871 kJ/mol 和 - 101.551 kJ/mol,这表明它们具有作为 MMP3 抑制候选物的潜力。该研究强调了 ML 和 MD 模拟在筛选用于皮肤病研究的植物化学物质方面的有效性和相对准确性,并为将来设计 MMP3 抑制剂提供了创新机会。
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引用次数: 0
DFT and machine learning for predicting hydrogen adsorption energies on rocksalt complex oxides 利用 DFT 和机器学习预测岩盐复合氧化物上的氢吸附能
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-04 DOI: 10.1007/s00214-024-03124-x
Adrian Domínguez-Castro

The prediction of hydrogen adsorption energies on complex oxides by integrating DFT calculations and machine learning is considered. In particular, 14 descriptors for electronic and geometric properties evaluation are adapted within a 336 hydrogen adsorption energy dataset created. Supervised learning techniques were explored to establish an accurate predictive model. With the deep neural network results, a MAE of about 0.06 eV is achieved. This research highlights the synergistic potential of DFT and machine learning for accelerating the exploration of materials for catalysis.

本研究考虑通过整合 DFT 计算和机器学习来预测复杂氧化物上的氢吸附能。特别是,在创建的 336 个氢吸附能数据集中,对用于评估电子和几何特性的 14 个描述符进行了调整。探索了监督学习技术,以建立准确的预测模型。利用深度神经网络的结果,实现了约 0.06 eV 的 MAE。这项研究凸显了 DFT 和机器学习在加速探索催化材料方面的协同潜力。
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引用次数: 0
Improving the stability of 2-phenyl-1,3-dimethyl imidazolium cations under alkaline conditions through various substitution strategies 通过各种取代策略提高 2-苯基-1,3-二甲基咪唑阳离子在碱性条件下的稳定性
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-06-01 DOI: 10.1007/s00214-024-03126-9
Tiancheng Xiang, Hongyan Si

The effects of various substituents at different substitution positions on the stability of imidazolium cations were investigated by studying the degradation reactions of several substituted 2-phenyl-1,3-dimethyl imidazolium cations (PDMIm+). The results of density functional theory calculations revealed that the stability of the imidazolium cation could be significantly enhanced by substitutions near the C2 position. These substitution positions included the ortho positions of the phenyl group and the N1/N3 and C4/C5 positions on the imidazole ring of PDMIm+. Moreover, the ethyl group was the most effective substituent among the ones discussed. The calculations also revealed that double alkyl substituents at ortho positions could more effectively improve the stability of imidazolium cations in the degradation reactions.

通过研究几种取代的 2-苯基-1,3-二甲基咪唑阳离子(PDMIm+)的降解反应,研究了不同取代位置的各种取代基对咪唑阳离子稳定性的影响。密度泛函理论计算的结果表明,咪唑阳离子的稳定性可通过在 C2 位置附近进行取代而显著提高。这些取代位置包括 PDMIm+ 的苯基正交位置以及咪唑环上的 N1/N3 和 C4/C5 位置。此外,在所讨论的取代基中,乙基是最有效的取代基。计算还表明,正交位置的双烷基取代基能更有效地提高咪唑阳离子在降解反应中的稳定性。
{"title":"Improving the stability of 2-phenyl-1,3-dimethyl imidazolium cations under alkaline conditions through various substitution strategies","authors":"Tiancheng Xiang, Hongyan Si","doi":"10.1007/s00214-024-03126-9","DOIUrl":"https://doi.org/10.1007/s00214-024-03126-9","url":null,"abstract":"<p>The effects of various substituents at different substitution positions on the stability of imidazolium cations were investigated by studying the degradation reactions of several substituted 2-phenyl-1,3-dimethyl imidazolium cations (PDMIm<sup>+</sup>). The results of density functional theory calculations revealed that the stability of the imidazolium cation could be significantly enhanced by substitutions near the C2 position. These substitution positions included the ortho positions of the phenyl group and the N1/N3 and C4/C5 positions on the imidazole ring of PDMIm<sup>+</sup>. Moreover, the ethyl group was the most effective substituent among the ones discussed. The calculations also revealed that double alkyl substituents at ortho positions could more effectively improve the stability of imidazolium cations in the degradation reactions.</p>","PeriodicalId":23045,"journal":{"name":"Theoretical Chemistry Accounts","volume":"58 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141194941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A computational study into the mechanism and selectivities of the reaction of 1, 1-diaryl-2-isopropylidene-3-methylenecyclopropane (DIMCP) with C, N-diarylnitrone 关于 1,1-二芳基-2-异亚丙基-3-亚甲基环丙烷 (DIMCP) 与 C,N-二芳基硝酮反应机理和选择性的计算研究
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-05-29 DOI: 10.1007/s00214-024-03121-0
Emmanuel Komla Oyetey, Caroline R. Kwawu, Albert Aniagyei, Gabriel Amankwah, Richmond Arhin, Evans Adei

The site- and regioselectivities of the [3 + 2] cycloaddition (32CA) reactions of C, N-diarylnitrone [B2] with 1, 1-diaryl-2-isopropylidene-3-methylenecyclopropane (DIMCP) [B1] and subsequent rearrangement have been studied using unrestricted density functional theory (UDFT) at the UB3LYP/6-311G (d, p) level of theory. 1, 1-Diaryl-2-isopropylidene-3-methylenecyclopropane possesses two exocyclic olefinic bonds (reactive centers): one unsubstituted and the other dimethyl-substituted. The preferred pathway with the lowest activation barrier occurs by the addition of B2 across the unsubstituted exocyclic bond of B1 to afford two regioisomeric products P4A and intermediate INT1A, where the generated INT1A proceeds through rearrangement to afford the experimentally observed products P2A and P3A. The rearrangement process was triggered by the concerted homolytic cleavage of the isoxazolidine N–O bond and the cyclopropane C–C (Ar1)2 bond. Electron-donating groups (EDGs) at the para position of Ar1 and Ar2 substituted on B1 and B2 increase the activation barrier, while electron-withdrawing groups (EWGs) decrease the activation barrier. EDGs and EWGs at the meta position of Ar1 and Ar2 decrease the activation barrier. The rate constant for the preferred pathway (formation of intermediate, INT1A) in the 32CA of B1 (Ar1 = Ph) and B2 (Ar2 = Ph) in benzene is 2.98 × 10–6 s−1, which is about 126 times faster than the non-competing channel, leading to the formation of P4A (2.35 × 10–8 s−1) through TS2A. Results from the analysis of the global reactivity indices at the ground state of the reactants show that B1 (Ar1 = Ph) acts as the nucleophile with chemical potential of −3.73 eV and B2 (Ar2 = Ph) acts as the electrophile with chemical potential of −3.83 eV. GEDT analysis infers that the 32CA reaction between B1 and B2 is one of a nonpolar character.

在 UB3LYP/6-311G (d, p) 理论水平上,使用无限制密度泛函理论 (UDFT) 研究了 C, N-二芳基硝酮 [B2] 与 1, 1-二芳基-2-异亚丙基-3-亚甲基环丙烷 (DIMCP) [B1] 的 [3 + 2] 环加成 (32CA) 反应及其后续重排反应的位点选择性和区域选择性。1,1-二芳基-2-异亚丙基-3-亚甲基环丙烷具有两个外环烯烃键(反应中心):一个是未取代的,另一个是二甲基取代的。活化障碍最低的首选途径是 B2 与 B1 的未取代外环键相加,生成两种异构产物 P4A 和中间体 INT1A,生成的 INT1A 经过重排生成实验观察到的产物 P2A 和 P3A。重排过程是由异噁唑烷 N-O 键和环丙烷 C-C (Ar1)2 键的协同同源裂解引发的。被 B1 和 B2 取代的 Ar1 和 Ar2 对位上的电子供能基团(EDGs)会增加活化障碍,而电子撤回基团(EWGs)则会降低活化障碍。Ar1 和 Ar2 的元位置上的 EDG 和 EWG 会降低活化势垒。在苯中 B1(Ar1 = Ph)和 B2(Ar2 = Ph)的 32CA 中,优选途径(形成中间体 INT1A)的速率常数为 2.98 × 10-6 s-1,比通过 TS2A 形成 P4A(2.35 × 10-8 s-1)的非竞争途径快约 126 倍。对反应物基态全局反应性指数的分析结果表明,B1(Ar1 = Ph)是亲核物,化学势为-3.73 eV,B2(Ar2 = Ph)是亲电子物,化学势为-3.83 eV。GEDT 分析推断,B1 和 B2 之间的 32CA 反应属于非极性反应。
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引用次数: 0
Mechanistic investigation on the gas-phase thermal decomposition of triazene-bridged nitro-1,2,4-triazole 三氮烯桥硝基-1,2,4-三唑气相热分解的机理研究
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-05-18 DOI: 10.1007/s00214-024-03120-1
Congming Ma, Kehan Hu, Peng Ma, Wenxin Xia

Electronic structure methods based on quantum mechanics were employed to characterize elementary steps for the gas-phase thermal decomposition of triazene-bridged nitro-1,2,4-triazole (TBBT). Homolytic C–NO2 bond scission and ·NO2 elimination were the most energetically favorable unimolecular paths for the initial decomposition. From there, sequences of unimolecular reactions for daughters of the initiation steps through low-energy β-scission reactions and ring-opening reaction were postulated and characterized. Hydron shift, C–N bond breakage, nitrogen and NO2 elimination, and small molecules like CN–N=NH obtained were all characterized. Creating a comprehensive network that can be used to develop a detailed limited rate chemical dynamic mechanism for simulating decomposition of TBBT, the results provide the foundation for TBBT’s combustion modeling, and response to its aging, and storage.

基于量子力学的电子结构方法被用来描述三氮杂吲哚-1,2,4-三唑(TBBT)气相热分解的基本步骤。同解 C-NO2 键裂解和 -NO2 消去是最初分解过程中能量最有利的单分子途径。在此基础上,通过低能 β 裂解反应和开环反应,推测并描述了起始步骤中女儿的单分子反应序列。氢子转移、C-N 键断裂、氮和 NO2 消去,以及获得的 CN-N=NH 等小分子都得到了表征。研究结果建立了一个全面的网络,可用于开发模拟四溴二苯醚分解的详细的有限速率化学动态机制,为四溴二苯醚的燃烧建模、老化反应和储存提供了基础。
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引用次数: 0
Theoretical insights into the chiral separation of levobunolol 左旋布诺洛尔手性分离的理论见解
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-05-18 DOI: 10.1007/s00214-024-03122-z
Pollyanna P. Maia, Luciana Guimarães, Clebio S. Nascimento

In this study, we conducted a theoretical investigation to elucidate the chiral recognition mechanisms of polysaccharide-derived stationary phase for the bunolol β-blocker. DFT calculations provided structural and energetic insights, successfully explaining chiral discrimination and enantiomeric elution order obtained in previous HPLC experiments. Our analysis highlighted the crucial role of hydrogen bonding and π–π stacking interactions in determining the relative stability of the diastereomeric complexes formed between the bunolol and chiral selector.

在本研究中,我们进行了一项理论研究,以阐明布诺洛尔β受体阻滞剂多糖衍生固定相的手性识别机制。DFT 计算提供了结构和能量方面的见解,成功解释了之前 HPLC 实验中获得的手性识别和对映体洗脱顺序。我们的分析强调了氢键和 π-π 堆积相互作用在决定布诺洛尔和手性选择剂之间形成的非对映异构体复合物的相对稳定性方面的关键作用。
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引用次数: 0
Permanent electric dipole moment of diatomic molecules using relativistic extended–coupled–cluster method 利用相对论扩展耦合簇方法研究双原子分子的永久电偶极矩
IF 1.7 4区 化学 Q4 CHEMISTRY, PHYSICAL Pub Date : 2024-05-10 DOI: 10.1007/s00214-024-03117-w
Haimyapriya Buragohain, Kaushik Talukdar, Malaya K. Nayak

We employ the four-component relativistic extended–coupled–cluster (ECC) method, a variational coupled–cluster (CC) approach, to compute the permanent electric dipole moment (PDM) of open-shell diatomic molecules (CaH, CaF, SrH and SrF) in their ground electronic state. The ECC results are compared with the PDM values estimated by the experiments as well as other single-reference CC-based approaches (the Z-vector technique, the expectation value method and the finite field approach) within the four-component relativistic framework to test the efficacy of the employed method. Our study reveals that the relativistic ECC method can yield reliable results for the PDMs of the considered molecular systems. We also observe that the computed results of the dipole moment improve upon the augmentation of diffused functions to the basis set.

我们采用四分量相对论扩展耦合簇(ECC)方法--一种可变耦合簇(CC)方法--来计算开壳二原子分子(CaH、CaF、SrH 和 SrF)在基态电子中的永久电偶极矩(PDM)。在四分量相对论框架内,将 ECC 结果与实验估算的 PDM 值以及其他基于单参考 CC 的方法(Z-矢量技术、期望值方法和有限场方法)进行了比较,以检验所采用方法的有效性。我们的研究表明,相对论 ECC 方法可以为所考虑的分子系统的 PDM 提供可靠的结果。我们还观察到,在基集中添加扩散函数后,偶极矩的计算结果有所改善。
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引用次数: 0
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