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An In-Depth Study on the Relativistic Thomas–Fermi Model: Improvements and Numerical Simulations 相对论Thomas-Fermi模型的深入研究:改进与数值模拟
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-12-03 DOI: 10.1002/qua.27523
Luca Nanni

The relativistic Thomas–Fermi model is revisited in the framework of von Weizsacker's kinetic energy functional. This model, already studied by other authors, is optimized by weighting the von Weizsacker functional with a numerical parameter and introducing a retardation term in the potential energy functional to improve its predictivity when applied to systems with a complex electronic structure. These corrections avoid overestimating the total kinetic energy and underestimating the stabilizing effect of the Coulomb potential, respectively. The model is applied to neutral and ionized atoms with increasing atomic numbers to test the qualitative and quantitative predictivity goodness of the relativistic effects. Due to the simplicity of solving the relativistic equation by numerical methods, the proposed model could be an alternative or a supportive tool to other computational methods for studying the physicochemical properties of compounds containing heavy atoms.

在魏茨泽克动能泛函的框架下,重新审视了相对论的托马斯-费米模型。该模型已被其他作者研究过,在应用于具有复杂电子结构的系统时,通过将数值参数赋予von Weizsacker泛函的权重并在势能泛函中引入延迟项来提高其预测能力,从而对该模型进行了优化。这些修正分别避免了高估总动能和低估库仑势的稳定作用。将该模型应用于原子序数不断增加的中性原子和电离原子,以检验相对论效应的定性和定量预测效果。由于用数值方法求解相对论性方程的简单性,所提出的模型可以作为研究含重原子化合物的物理化学性质的其他计算方法的替代或辅助工具。
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引用次数: 0
Exploring the Multifunctional Properties of Tm-Doped AlxGa1−xN Alloys: From Potoluminescence to Spintronics 探索tm掺杂AlxGa1−xN合金的多功能特性:从荧光到自旋电子学
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-12-03 DOI: 10.1002/qua.27520
Soufyane Belhachi, B. Merabet, Samah Al-Qaisi, Souraya Goumri-Said

This study delves into the electronic, magnetic, and optical properties of Tm-doped wurtzite AlxGa1−xN alloys, utilizing first-principles density functional theory (DFT) calculations. By applying the LSDA+U approach to capture the strong correlation effects of 4f-Tm electrons, our findings reveal that Tm-doped AlxGa1−xN exhibits semiconducting behavior with inherent ferromagnetic order. Remarkably, the bandgap of Tm-doped AlxGa1−xN transitions from indirect to direct at an Al content (x) of 0.25, highlighting its potential for dual electrical and magnetic functionalities. The magnetic moments are highly localized at Tm sites, suggesting the feasibility of Tm as a dopant for developing AlGaN-based diluted magnetic semiconductors. Moreover, the observed spin-dependent characteristics and magnetic interactions in Tm-doped AlxGa1−xN underscore its applicability in spintronic devices, including spin transistors and spin logic circuits, which could significantly advance next-generation electronic systems. Additionally, the study predicts a blue shift in luminescence for Tm-doped AlxGa1−xN, which is attributed to the interplay between Tm dopant energy levels, Al composition, and the host alloy's band structure, as well as energy transfer and quantum confinement effects. This positions Tm-doped AlxGa1−xN as a promising material for applications in solid-state lighting, displays, lasers, and other optoelectronic devices requiring blue light emission.

本研究利用第一性原理密度泛函理论(DFT)计算,深入研究了掺杂tm的纤锌矿AlxGa1−xN合金的电子、磁性和光学性质。通过应用LSDA+U方法捕获4f-Tm电子的强相关效应,我们的研究结果表明,tm掺杂的AlxGa1−xN表现出具有固有铁磁秩序的半导体行为。值得注意的是,当Al含量(x)为0.25时,掺tm的AlxGa1−xN的带隙从间接转变为直接,突出了其双重电和磁功能的潜力。磁矩高度局域化在Tm位点,表明Tm作为掺杂剂用于开发基于algan的稀释磁性半导体是可行的。此外,在tm掺杂的AlxGa1−xN中观察到的自旋依赖特性和磁相互作用强调了它在自旋电子器件中的适用性,包括自旋晶体管和自旋逻辑电路,这可以显著推进下一代电子系统。此外,该研究预测了Tm掺杂的AlxGa1−xN的发光蓝移,这是由于Tm掺杂的能级、Al成分和基体合金的能带结构之间的相互作用,以及能量转移和量子限制效应。这使得tm掺杂的AlxGa1−xN成为固态照明、显示器、激光器和其他需要蓝光发射的光电器件中有前途的材料。
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引用次数: 0
Ultralarge Hyperpolarizability, Novel Ladder-Type Heteroarenes Electro-Optic Chromophores: Influence of Fused Heterocyclic π-System and Push–Pull Effect on Nonlinear Optical Properties 超大超极化率、新型梯形杂环烯电光发色团:融合杂环π系统和推拉效应对非线性光学特性的影响
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-20 DOI: 10.1002/qua.27521
Hejing Sun

A new series of ladder-type heteroarenes electro-optic (EO) chromophores based on unique fused oligothiophene, oligofuran, and oligopyrrole bridge with a strong push–pull effect were designed, and their distinctive electric structure and nonlinear optical (NLO) properties were investigated by multiple methods, including DOS analysis, CPKS method, SOS model, TSM model, and hyperpolarizability density analysis. Interestingly, it is found that the introduction of different strengths of donor and acceptor moieties, the nature of ladder-type heteroarenes bridge, and the medium polarity play critical roles in achieving ultra-large hyperpolarizabilities. Encouragingly, the DN1-6Fu-AS1 and DN1-6Py-AS1 both exhibit ultra-large βprj values (up to 12965.5 × 10−30 esu) and βtot value (up to 13238.2 × 10−30 esu), owing to their exceptionally low transitions energy and large variation of dipole moment. The DO2-6Fu-AO2, DO2-6Th-AO2, DO2-6Fu-AS1, and DO2-6Th-AS1, exhibit very deep HOMO levels, which are expected to have superior air stability and effectively prevent large leakage currents. Hirshfeld surface analysis and interaction region indicator analysis were employed to explore the noncovalent interactions in the dimer. The DO2-6Fu-AS1 and DO2-6Py-AS1 show the outstanding electro-optical Pockels effect, and DN1-6Fu-AO2 exhibit large SHG responses. These unique and brand-new push-pull ladder-type heteroarenes chromophores are promising candidates for chip-scale EO modulators, and electronic and photonic devices in emerging communication, energy, analog, and digital technologies.

基于独特的具有强推拉效应的低聚噻吩、低聚呋喃和低聚吡咯融合桥,设计了一系列新的梯形杂环烯类电致发光(EO)色团,并通过DOS分析、CPKS法、SOS模型、TSM模型和超极化率密度分析等多种方法研究了它们独特的电结构和非线性光学(NLO)性能。有趣的是,研究发现引入不同强度的供体和受体分子、梯形杂环桥的性质以及介质极性在实现超大超极化率方面起着关键作用。令人鼓舞的是,DN1-6Fu-AS1 和 DN1-6Py-AS1 都表现出了超大的 βprj 值(高达 12965.5 × 10-30 esu)和 βtot 值(高达 13238.2 × 10-30 esu),这是因为它们的跃迁能特别低,偶极矩变化很大。DO2-6Fu-AO2、DO2-6Th-AO2、DO2-6Fu-AS1 和 DO2-6Th-AS1 显示出非常深的 HOMO 水平,这有望使它们具有优异的空气稳定性,并有效防止大漏电流。为了探索二聚体中的非共价相互作用,我们采用了 Hirshfeld 表面分析和相互作用区域指示剂分析。DO2-6Fu-AS1 和 DO2-6Py-AS1 显示了出色的电光 Pockels 效应,DN1-6Fu-AO2 显示了较大的 SHG 响应。这些独特而崭新的推拉阶梯型异链色团有望用于芯片级环氧乙烷调制器以及新兴通信、能源、模拟和数字技术领域的电子和光子器件。
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引用次数: 0
The Interaction Between Fluorinated Additives and Imidazolyl Ionic Liquid Electrolytes in Lithium Metal Batteries: A First-Principles Study 锂金属电池中氟化添加剂与咪唑离子液体电解质之间的相互作用:第一原理研究
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-14 DOI: 10.1002/qua.27507
Rongde Sun, Jiaxin Tang, Nan Zhou, Chengren Li, Baifeng Yang, Zhigao Chen, Xiaohan Lu, Tingyu Luo, Zhen Chang, Changjun Peng, Honglai Liu, Shaoze Zhang

This investigation employs first-principles calculations to explore the interaction between imidazolium ionic liquids (ILs) and fluoride additives on lithium metal surface. Our focus lies in the comprehensive analysis of three distinct categories of fluorinated additives, each differing in their degree of fluorination. The computations reveal that fluorination plays a significant role in determining both the ionic conductivity and the formation of the solid–electrolyte interphase (SEI) film. Specifically, heightened fluorination enhances the oxidative stability of the system but diminishes the strength of solvent binding, resulting in the formation of larger salt/anion clusters and a decrease in ionic conductivity. Conversely, increased fluorination facilitates the interaction between fluorinated additives and the lithium metal surface, thereby aiding in the formation of a stable SEI film characterized by an abundance of inorganic LiF components. This is important as it serves to suppress dendrite growth and mitigate interface side reactions. Considering the combined influences of ionic conductivity and film formation, 1FP is suggested as the optimal candidate for pyridine-based additive systems, with FEC preferred for cyclic ester-based additive systems and BC for chain ester-based additive systems. This study provides theoretical references for the design of ionic liquid-fluorinated additive electrolyte systems that can protect the lithium metal anode.

本研究采用第一性原理计算探索咪唑离子液体(ILs)与锂金属表面氟添加剂之间的相互作用。我们的重点是全面分析三类不同的氟化添加剂,它们的氟化程度各不相同。计算结果表明,氟化在决定离子电导率和固电解质间相(SEI)膜的形成方面起着重要作用。具体来说,氟化程度的提高会增强体系的氧化稳定性,但会降低溶剂结合的强度,从而形成更大的盐/离子簇,降低离子导电率。相反,氟化程度的提高则有利于含氟添加剂与锂金属表面之间的相互作用,从而有助于形成稳定的 SEI 膜,其特点是含有大量无机锂氟化物成分。这一点非常重要,因为它可以抑制枝晶的生长,减轻界面副反应。考虑到离子导电性和薄膜形成的综合影响,1FP 被认为是基于吡啶的添加剂系统的最佳候选添加剂,而 FEC 则是基于环酯的添加剂系统的首选添加剂,BC 则是基于链酯的添加剂系统的首选添加剂。本研究为设计可保护锂金属阳极的离子液体-含氟添加剂电解质体系提供了理论参考。
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引用次数: 0
Prediction of Molar Entropy of Gaseous Molecules for a New Pὃschl-Teller Potential Model 新型 Pὃschl-Teller 电位模型的气态分子摩尔熵预测
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-14 DOI: 10.1002/qua.27505
Maryam Hussein Abdulameer, Ali B. M. Ali, Ahmed K. Nemah, Prakash Kanjariya, Asha Rajiv, Mohit Agarwal, Parjinder Kaur, Abdulrahman A. Almehizia

The Pὃschl–Teller potential is a molecular potential energy function that has only been reported for bound state. This Pὃschl–Teller potential is a good representation of many molecules and has not been examined for any thermodynamic property irrespective of its fitness for molecular study. In this study, the molar entropy of four molecules (Pbr, BBr, CsCl, and CsO molecules) is calculated via the molar partition function. The predicted results are compared with the experimental data recorded in the National Institute of Standards and Technology (NIST) database. It is noted that the predicted values for the studied molecules perfectly agree with the experimental results with the following average absolute percentage deviation, PBr is 0.0158%, BBr is 0.0053%, CsCl is 0.0020%, and CsO is 0.0052%. The present model reproduces better results for CsCl and CsO molecules compared to the shifted Tietz–Wei potential and improved Tietz-oscillator previously reported whose average absolute percentage deviation are 0.361% and 0.284% for CsCl and 0.272% and 0.228% for CsO, respectively.

Pὃschl-Teller 电位是一种分子势能函数,目前仅有关于结合态的报道。Pὃschl-Teller 电位能很好地代表许多分子,但尚未对其热力学性质进行研究,无论其是否适用于分子研究。本研究通过摩尔分配函数计算了四种分子(Pbr、BBr、CsCl 和 CsO 分子)的摩尔熵。预测结果与美国国家标准与技术研究院(NIST)数据库中记录的实验数据进行了比较。结果表明,所研究分子的预测值与实验结果完全一致,平均绝对百分比偏差如下:PBr 为 0.0158%,BBr 为 0.0053%,CsCl 为 0.0020%,CsO 为 0.0052%。与以前报告的移位铁茨-魏电势和改进的铁茨-振荡器相比,本模型对 CsCl 和 CsO 分子再现了更好的结果,其平均绝对百分比偏差对 CsCl 而言分别为 0.361% 和 0.284%,对 CsO 而言分别为 0.272% 和 0.228%。
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引用次数: 0
ISI Energy Change Due to an Edge Deletion 边缘删除导致的 ISI 能量变化
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-13 DOI: 10.1002/qua.27501
Ahmad Bilal, Muhammad Mobeen Munir

The problem of characterization of all graphs where the deletion of an edge results in decrease or increase in the energy is far from completion. To be more exact, we solve this problem for Inverse Sum Indeg energy. We compute the ISI energies of edge deleted graphs of Kn$$ {K}_n $$, Kn,n$$ {K}_{n,n} $$, Kn,n,n$$ {K}_{n,n,n} $$, and star graph, finally we compare the respective energies from the original graphs. We give different graphs where both cases can happen. This serves as partial solutions of the modified version of the hard to crack problem posed by Gutman to characterize all graphs whose energy decreases after deletion of an edge.

对于删除一条边会导致能量减少或增加的所有图形的特征描述问题,我们还远远没有完成。更确切地说,我们要解决的是反相加能量(Inverse Sum Indeg energy)问题。我们计算了 K n $$ {K}_n $$ , K n , n $$ {K}_{n,n} $$ , K n , n , n $$ {K}_{n,n,n} $$ 和星形图中删除边的 ISI 能量,最后比较了原始图中各自的能量。我们给出了两种情况都可能发生的不同图形。这可以作为古特曼提出的难以破解问题的修正版的部分解决方案,以描述删除一条边后能量会降低的所有图的特征。
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引用次数: 0
First-Principles Study on Electronic and Optical Properties of Novel Potential Photocatalytic Water-Splitting Material: Blue-P/Hf2CO2 vdW Heterostructure 新型潜在光催化分水材料电子和光学特性的第一性原理研究:蓝-P/Hf2CO2 vdW 异质结构
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-12 DOI: 10.1002/qua.27518
Zheng Wang, Zilong Zhang, Luogang Xie, Yang Yang, Chaosheng Yuan, Junyu Li, Shiquan Feng

In this work, we set a series of blue-P/Hf2CO2 vdW heterostructures by stacking blue-P and Hf2CO2 monolayers together. Then the most stable structure, the AD-stacking blue-P/Hf2CO2 vdW structure (the HS), is selected out for further investigation. The electronic and optical properties of the HS are studied for exploring its potential applications. Result of its electronic structure investigation indicates that the HS is a type-I band arrangement. By applying different biaxial strains parallel to the stacking direction to the HS, we regulate its band gap and band edge positions. Results show a suitable strain not only can adjust the band alignment type of the HS change from type-I to type-II but also regulate the band structure to a suitable band edge positions for photocatalytic water splitting. The band edge position of HS (2%) across the oxidation and reduction potential indicates that it is a potential photocatalyst of water splitting at pH = 7. By calculating the absorption coefficient, we found the HS (2%) has a good light-harvesting ability in visible light and UV region, which further proves it has the potential as the sunlight-driven photocatalyst for water splitting.

在这项工作中,我们通过将蓝-P 和 Hf2CO2 单层堆叠在一起,建立了一系列蓝-P/Hf2CO2 vdW 异质结构。然后,我们选择了最稳定的结构--AD-堆叠蓝-P/Hf2CO2 vdW 结构(HS)进行进一步研究。我们研究了 HS 的电子和光学特性,以探索其潜在的应用领域。电子结构研究结果表明,HS 是一种 I 型带排列。通过对 HS 施加平行于堆叠方向的不同双轴应变,我们调节了它的带隙和带边位置。结果表明,适当的应变不仅能将 HS 的能带排列类型从 I 型变为 II 型,还能将能带结构调整到适合光催化分水的能带边缘位置。在 pH = 7 的条件下,HS(2%)在氧化电位和还原电位之间的带边位置表明它是一种潜在的光催化剂。通过计算吸收系数,我们发现 HS (2%) 在可见光和紫外线区域具有良好的光收集能力,这进一步证明了它具有作为太阳光驱动的光催化剂进行水分离的潜力。
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引用次数: 0
Solution of Schrödinger Equation for Simple Diatomic Molecules Using One-Parameter 1s Slater-Type Orbitals Wave Function 利用单参数 1s 斯莱特型轨道波函数求解简单二原子分子的薛定谔方程
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-11 DOI: 10.1002/qua.27517
Fiqri Aditya Riyanto, Achmad Jaelani, Teguh Budi Prayitno, Muhammad Yusrul Hanna, Yanoar P. Sarwono

The Schrödinger equation for simple homonuclear and heteronuclear diatomic molecules is analytically solved using one-parameter Slater-type orbitals (STOs) to approximate the electronic wave function within a molecular orbital (MO)-like approach. The resulting total energies, equilibrium bond lengths, potential curves, and electron densities are presented in detail. Calculations using a selected orbital exponent accurately reproduce results from standard methods. Furthermore, the optimization of the orbital exponent allows for a more accurate representation of the electronic wave function, leading to the improved results of the total energy and the equilibrium bond length, as well as minimal computational cost. Seen in the heteronuclear diatomic molecule, the use of the one-parameter STOs allows the transformation of the heteronuclear problem into the homonuclear one, revealing the electron repulsion effect on the orbital exponent parameter.

利用单参数斯莱特型轨道(STO)在类似分子轨道(MO)的方法中近似地求解了简单同核和异核二原子分子的薛定谔方程。详细介绍了由此得出的总能量、平衡键长度、电势曲线和电子密度。使用选定的轨道指数进行的计算准确地再现了标准方法的结果。此外,通过优化轨道指数,可以更准确地表示电子波函数,从而改善总能量和平衡键长度的结果,并将计算成本降至最低。在异核二原子分子中,使用单参数 STO 可以将异核问题转化为同核问题,揭示电子斥力对轨道指数参数的影响。
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引用次数: 0
Investigation of the Optoelectronic, γ-Attenuation, and Thermodynamic Properties of Novel MnGa2P3H4NO14 for Energy Applications: A DFT Study 用于能源应用的新型 MnGa2P3H4NO14 的光电、γ 衰减和热力学性质研究:DFT 研究
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-08 DOI: 10.1002/qua.27512
Muhammad Irfan, Emad M. Ahmed, Shams A. M. Issa, H. M. H. Zakaly

Transparent conducting oxides (TCOs) from the semiconductor family have garnered considerable interest due to the growing popularity of optoelectronic and thermodynamical applications. Our present study has presented findings on the electronic, optical, and thermodynamic characteristics of spinel oxide MnGa2P3H4NO14; using density functional theory (DFT), we utilized first-principles calculations carried out with the Wien 2 k software package. The calculations were performed using the generalized-gradient-approximation plus Hubbard potential U (GGA+U) method for the doped materials. The band structure calculation reveals that the parent compound exhibits a semiconducting nature and a direct band gap of 2.9 and 1.7 eV for spin-up and down channels, respectively. The stability of the material is assessed by evaluating its formation energies, which reveal that spinel oxide exhibits the highest stability. The thermodynamic properties are determined using the quasiharmonic Debye model, implemented in the GIBBS 2 code. Furthermore, the quasiharmonic Debye model examines the pressure and temperature dependence of all parameters related to the investigated spinel oxides. In order to evaluate the effectiveness of the radiation shielding, we computed the mass attenuation coefficient for the XCOM program that was investigated from the sample. In addition, linear attenuation, half-value layer, and mean free path values have been evaluated. A thorough investigation into the dielectric function's optical characteristics was conducted. It has been found that the dielectric function exhibits a wide range of energy transparency. The discovery of UV-absorbing materials with extremely narrow band gaps suggests their potential use in optoelectronic and solar cell applications. These results provide solid proof and motivation for seeking cutting-edge optoelectronic materials and technology.

由于光电和热力学应用的日益普及,半导体家族中的透明导电氧化物(TCO)引起了人们的极大兴趣。本研究介绍了尖晶石氧化物 MnGa2P3H4NO14 的电子、光学和热力学特性;利用密度泛函理论(DFT),我们使用 Wien 2 k 软件包进行了第一性原理计算。对于掺杂材料,计算采用了广义梯度逼近加哈伯德势 U(GGA+U)方法。带状结构计算显示,母体化合物具有半导体性质,自旋上升通道和自旋下降通道的直接带隙分别为 2.9 和 1.7 eV。通过评估材料的形成能评估了材料的稳定性,结果表明尖晶石氧化物表现出最高的稳定性。热力学特性是利用 GIBBS 2 代码中的准谐波德拜模型确定的。此外,准谐德拜模型还研究了与所研究的尖晶石氧化物有关的所有参数的压力和温度依赖性。为了评估辐射屏蔽的有效性,我们计算了从样品中调查的 XCOM 程序的质量衰减系数。此外,我们还评估了线性衰减、半值层和平均自由路径值。我们还对介电函数的光学特性进行了深入研究。研究发现,介电函数具有广泛的能量透明度。具有极窄带隙的紫外线吸收材料的发现,表明了它们在光电和太阳能电池应用中的潜在用途。这些结果为寻求尖端光电材料和技术提供了坚实的证据和动力。
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引用次数: 0
Performance of Minnesota Functionals on Vibrational Frequency 明尼苏达函数在振动频率上的表现
IF 2.3 3区 化学 Q3 CHEMISTRY, PHYSICAL Pub Date : 2024-11-08 DOI: 10.1002/qua.27516
Jiaxu Wang, Cheng Zhang, Yaqi Li, Yini Zhou, Yuanyuan Shu, Songping Liang, Gaihua Zhang, Zhonghua Liu, Ying Wang

Molecular geometry and harmonic frequency calculations are essential in thermochemical computations, with density functional theory (DFT) being widely employed for vibrational frequency predictions due to its efficiency and accuracy. In this study, we assessed the precision of 28 Minnesota based functionals with three different basis sets using the VIBFREQ1295 dataset. Scaling factors are necessary for predicting fundamental frequencies, global scaling factors were fitted by using F38/10 and VIBFREQ1295 datasets. The superior performing functionals were then fitted based on vibrational frequency ranges to obtain frequency-range-specific scaling factors. We observed consistent outlier across various model chemistries in vibrational frequency predictions, with alternative scaling factors showing minimal impact on reducing outlier occurrences. Besides, large basis sets are not indispensably required for fundamental frequency predictions. M06-L, revM06-L, SOGGA11-X, PW6B95-D3(BJ), CF22D, and M06-2X consistently exhibit excellent performance across the three basis sets. When using frequency-range-specific scaling factors, the root mean squard errors (RMSEs) and median absolute errors (MedAEs) of almost all the selected functionals were reduced. PW6B95-D3(BJ), CF22D, and MN12-SX exhibited the lowest RMSEs. Comparisons were also done for different data classifications; the dataset was classified by the elements of the molecules, vibrational frequency intervals, and vibrational modes.

分子几何和谐波频率计算在热化学计算中至关重要,而密度泛函理论(DFT)因其高效性和准确性被广泛用于振动频率预测。在本研究中,我们使用 VIBFREQ1295 数据集评估了 28 种基于明尼苏达函数的三种不同基集的精度。缩放因子是预测基频的必要条件,我们使用 F38/10 和 VIBFREQ1295 数据集拟合了全局缩放因子。然后根据振动频率范围对性能优越的函数进行拟合,以获得特定频率范围的缩放因子。我们观察到各种化学模型在振动频率预测方面都存在离群现象,而其他缩放因子对减少离群现象的影响微乎其微。此外,基频预测并非一定需要大型基集。M06-L、revM06-L、SOGGA11-X、PW6B95-D3(BJ)、CF22D 和 M06-2X 在三个基集中始终表现出优异的性能。在使用特定频率范围的缩放因子时,几乎所有选定函数的均方根误差(RMSE)和中值绝对误差(MedAE)都有所降低。其中 PW6B95-D3(BJ)、CF22D 和 MN12-SX 的均方根误差最小。还对不同的数据分类进行了比较;数据集按分子元素、振动频率间隔和振动模式进行了分类。
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引用次数: 0
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International Journal of Quantum Chemistry
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