Double ionisation of ICN and BrCN studied by a new photoelectron–photoion coincidence technique

A double time-of-flight technique is described, whereby any number of electrons and ions produced by photoionisation can be detected in coincidence, with energy analysis for the electrons and mass analysis for the ions. Branching ratios, kinetic energy releases and mechanisms in doubly charged ion decays can be measured with selection of the initial double ionisation energy. The new technique, together with spectroscopy by the recently established time-of-flight photoelectron–photoelectron coincidence (TOF-PEPECO) method, is used to study the spectra and dissociation dynamics of ICN⁺⁺ and BrCN⁺⁺.     

Photodissociation of multilayered trimethylaluminum adsorbed on a cryogenic substrate: A time-of-flight mass-spectrometric study

Photodissociation of trimethylaluminum [Al(CH₃)₃] adsorbed on a silica (SiO₂) substrate at 110 K has been studied by multiphoton ionization time-of-flight mass spectrometry. Translational energy distributions of aluminum and AlCH₃ fragments can be fitted with a composition of two Maxwell–Boltzmann distributions. The two components are attributed to different environments of photodissociating parent molecules in the multilayer.     

Vibronic Dynamics of Photodissociating ICN from Simulations of Ultrafast X-Ray Absorption Spectroscopy

Ultrafast UV-pump/soft-X-ray-probe spectroscopy is a subject of great interest since it can provide detailed information about dynamical photochemical processes with ultrafast resolution and atomic specificity. Here, we focus on the photodissociation of ICN in the ¹Π₁ excited state, with emphasis on the transient response in the soft-X-ray spectral region as described by the ab initio spectral lineshape averaged over the nuclear wavepacket probability density. We find that the carbon K-edge spectral region reveals a rich transient response that provides direct insights into the dynamics of frontier orbitals during the I−CN bond cleavage process. The simulated UV-pump/soft-X-ray-probe spectra exhibit detailed dynamical information, including a time-domain signature for coherent vibration associated with the photogenerated CN fragment.     

平行硬壁间荷电硬球流体的密度泛函理论研究

基于经典流体的密度泛函理论并结合改进的基本度量理论, 研究了受限于平行硬壁间的荷电硬球流体的平衡密度分布. 通过对比有、无外电场时分子数密度分布的相应变化情况, 分析了荷电硬球分子间的库仑排斥势能与场致势能间的竞争作用, 研究了电场对于受限荷电硬球流体系统聚集态结构的影响.     

Electronic Structures of 5d Transition Metal Monoxides by Density Functional Theory

Bond distances, vibrational frequencies, electron affinities, ionization potentials, and dissociation energies of the diatomic 5d transition metal (except La) monoxides and their positively and negatively charged ions were studied by use of density functional methods B3LYP, BLYP, B3PW91, BPW91, B3P86, BP86, MPW1PW91, PBE1PBE, and SVWN. Our calculation shows that for each individual species, the calculated properties are quite sensitive to the method used. Compared with hybrid density functional method B3PW91 (B3P86), pure density functional method BPW91 (BP86) gives longer bond distance (lower vibrational frequency) from HfO to PtO for neutral species, HfO⁺ to IrO⁺ for cationic species, and HfO⁻ to AuO⁻ for anionic species. While for B3LYP and BLYP, the trend was observed for cationic species from HfO⁺ to IrO⁺ and anionic species from HfO⁻ to AuO⁻ (except TaO⁻), but not for neutrals. Pure density function methods BLYP, BPW91, and BP86 give larger dissociation energy compared with hybrid density functional methods B3LYP, B3PW91, and B3P86. SVWN in most cases gives the smallest bond distance, while BLYP gives the largest value. MPW1PW91 and PBE1PBE show the same performance in predicting the spectroscopic constants. In addition, useful empirical criteria that one has obtained the ground states of a species and its ions are the spin multiplicities of a neutral and its single charged ions which differs by ±1.     

Theoretical Shaping of Femtosecond Laser Pulses for Molecular Photodissociation with Control Techniques Based on Ehrenfest′s Dynamics and Time‐Dependent Density Functional Theory

The combination of nonadiabatic Ehrenfest‐path molecular dynamics (EMD) based on time‐dependent density functional theory (TDDFT) and quantum optimal control formalism (QOCT) was used to optimize the shape of ultra‐short laser pulses to achieve photodissociation of a hydrogen molecule and the trihydrogen cation H₃⁺. This work completes a previous one [A. Castro, ChemPhysChem, 2013 , 14, 1488–1495], in which the same objective was achieved by demonstrating the combination of QOCT and TDDFT for many‐electron systems on static nuclear potentials. The optimization model, therefore, did not include the nuclear movement and the obtained dissociation mechanism could only be sequential: fast laser‐assisted electronic excitation to nonbonding states (during which the nuclei are considered to be static), followed by field‐free dissociation. Here, in contrast, the optimization was performed with the QOCT constructed on top of the full dynamic model comprised of both electrons and nuclei, as described within EMD based on TDDFT. This is the first numerical demonstration of an optimal control formalism for a hybrid quantum–classical model, that is, a molecular dynamics method.     

Self‐Consistent Variational Transition State Theory with Multidimensional Tunneling Calculations in an Embarrassingly Parallel Scheme

Variational Transition State Theory with Multidimensional Tunneling (VTST/MT) has been successfully used for calculating rate constants of reactions in gas and condensed phases. The current software implementation of VTST/MT is, however, based on the assumption of a fast, serial evaluation of the energetic information of a given molecular structure. We propose a simple and effective parallel method for performing VTST/MT calculations utilizing a cost effective Linux based PC cluster. Five different parallel computing schemes for choosing structures and computing their Hessians along a pre‐defined Minimum Energy Path were developed. We found that the Energy Block and Asymmetric Cyclic Execution (EBACE) scheme, which is also most physically intuitive, results in converged rate constants with the least number of Hessians computed. We believe that carrying out the VTST/MT calculation in parallel makes it more attractive for calculating the rate constants of complex chemical systems.     

Density Functional Theory as a Data Science

The development of density functional theory (DFT) functionals and physical corrections are reviewed focusing on the physical meanings and the semiempirical parameters from the viewpoint of data science. This review shows that DFT exchange‐correlation functionals have been developed under many strict physical conditions with minimizing the number of the semiempirical parameters, except for some recent functionals. Major physical corrections for exchange‐correlation function‐ als are also shown to have clear physical meanings independent of the functionals, though they inevitably require minimum semiempirical parameters dependent on the functionals combined. We, therefore, interpret that DFT functionals with physical corrections are the most sophisticated target functions that are physically legitimated, even from the viewpoint of data science.     

Analysis of a General Theorem Concerning Two Non-Commuting Hermitian Matrices: Quantum Mechanical Implications for Ground and Excited States

A general theorem concerning the spectral relationship of two non-commuting Hermitian matrices is demonstrated. Discussion and analysis of such finding leads to consider its tight connection with respect of the Hohenberg–Kohn theorem (HKT), cornerstone of DFT theory. The present analysis shows that not only HKT can be considered a particular case of the proposed theorem, but also the validity of the studied spectral relationship can be extended from quantum mechanical ground state to excited states as well.     

丙酮酸分子结构与振动光谱的密度泛函理论研究

用密度泛函方法BLYP、B3LYP和从头算Hartree-Fock(HF)方法在6-31G*基组水平上对丙酮酸分子的几何结构（甲基的重叠式和交错式两种构象）和振动光谱分别进行了优化和计算,并给出了各种频率所对应的红外强度及拉曼活性,对光谱进行了指认。结果表明：在丙酮酸分子的两种构象中,重叠式比较稳定*B3LYP计算得到的构型参数与实验结果比较一致;在振动频率的计算中,BLYP未标度力场所计算的非CH3伸缩振动基频预测值和实验值的平均绝对偏差为10.4cm-1;而HF标度力场的平均绝对偏差为17.9cm-1。说明两者的结果与实验观测频率比较吻合,但B3LYP的频率计算值偏差（38.3cm-1）较大。根据振动频率的势能分布和红外光谱强度对此分子的振动基频进行了理论归属。     

Hydricity of 3d Transition Metal Complexes from Density Functional Theory: A Benchmarking Study

A range of modern density functional theory (DFT) functionals have been benchmarked against experimentally determined metal hydride bond strengths for three first-row TM hydride complexes. Geometries were found to be produced sufficiently accurately with RI-BP86-D3(PCM)/def2-SVP and further single-point calculations with PBE0-D3(PCM)/def2-TZVP were found to reproduce the experimental hydricity accurately, with a mean absolute deviation of 1.4 kcal/mol for the complexes studied.     

三卤化硼Lewis酸性的密度泛函理论研究

用密度泛函理论的DFT-LDA/NL方法研究BX₃(X=F,Cl,Br)分子的Lewis酸性.计算BX₃分子的硬度时,采用一个可供选择的方法.该法是密度泛函理论的Janak定理的推广.结果表明,分子硬度是BX₃Lewis酸性的最好表征.应用Pearson的软硬酸碱(HSAB)原理可以合理地解释BX₃酸性的变化规律     

铜催化内炔的硅羧基化反应机理及区域选择性的密度泛函理论研究

用CO₂作为原料,在过渡金属催化下生成新的碳碳键是很重要的.在这类反应中,杂原子官能团和CO₂同时与不饱和的底物被催化生成高功能化的羧酸衍生物已经越来越受到人们的关注.本文采用密度泛函理论(DFT)方法,研究了金属铜催化剂催化内炔的硅羧基化反应机理.根据炔烃上甲基和苯环两个取代基的相对位置,提出了两条反应路径(path I:甲基和path II:苯环).计算结果表明炔烃插入Cu－Si键既是速率决速步骤也是区域选择决速步骤.在path I中,炔烃插入Cu－Si键的自由能为112.8 kJ·mol^-1,而在path II中为127.6kJ·mol^-1.显然, path I比path II在动力学上更有利,这与实验上两条路径对应产物的产率97: 3是一致的.分析表明区域选择性是由炔烃取代基甲基和苯环的电子效应决定的.     

Infrared Photodissociation Spectroscopy of Ti+(CO2)2Ar and Ti+(CO2)n(n=3-7) Comple xes (cited: 1)

Ti⁺(CO₂)₂Ar and Ti⁺(CO₂)_n(n=3-7) complexes are produced by laser vaporization in a pulsed supersonic expansion. The ion complexes of interest are each mass-selected in a time-of-flight spectrometer, and studied with infrared photodissociation spectroscopy. For each complex, a sharp band in the CO stretching frequency region is observed, which confirms the formation of the OTi⁺CO(CO₂)_n-1 oxide-carbonyl species. Small OTi⁺CO(CO₂)_n-1 complexes (n≦5) exhibit CO stretching and antisymmetric CO₂ stretching vibrational bands that are blue-shifted from those of free CO and CO₂. The experimental observations indicate that the coordination number of CO and CO₂ molecules around TiO⁺ is five. Evidence is also observed for the presence of another electrostatic bonding Ti⁺(CO₂)₂ structural isomer for the Ti⁺(CO₂)₂Ar complex, which is characterized to have a bent OCO-Ti⁺-OCO structure stabilized by argon coordination     

缔合流体中胶体粒子间耗尽势的密度泛函理论研究

本文基于Roth、Evans和Dietrich有关耗尽势的密度泛函理论研究了缔合流体中胶体粒子间的耗尽势. 通过计算在不同条件下两个胶体粒子间的耗尽势, 进一步分析了缔合流体中相关因素对耗尽势的影响. 结果表明, 溶剂分子的体相密度、胶体粒子与溶剂分子的尺寸比率、溶剂分子的官能度和缔合强度以及胶体粒子与溶剂分子之间的弱相互作用等因素均可对胶体粒子间耗尽势产生显著影响.     

Vibrational Spectra and Density Functional Theory Calculations of Metallotriphenylcorroles

The infrared absorption and Raman scattering spectra were measured for the metallotriph-enylcorroles (MTPCs, M=Cu, Co, Ni, Mn). The ground-state structures and vibrational spectra of MTPCs have been calculated with the density functional theory. The observedRaman and IR bands have been assigned based on the calculation results. Due to the symmetry lowering, the vibrational spectra of MTPCs are much more complex than metal-loporphyrins, and several skeletal modes are found strongly coupled to the phenyl vibrations.The relationship between the Raman/IR frequencies and the structures of TPC ring is in-vestigated. It is found that the vibrations involving the C^I_αC^I_α stretch and C_αC_mstretch are sensitive to the size of corrole core. In particular, the frequency of υ₅, which is assigned to C^I_αC^I_α stretch in coupling with the C_αC_m symmetric stretch, increases linearly with the decrease of the corrole core-sizes and may be used as a mark band to evaluate the structural change of the metallocorroles.     

菱形石墨炔薄膜He分离特性的密度泛函理论研究

氦气在科学和工业等领域中都具有不可替代的作用,其主要存在于天然气中。如何高效地从天然气中分离氦气显得至关重要。本文基于密度泛函理论(DFT)方法系统地探究了菱形石墨炔(rhombic-graphyne,R-GY)分离膜对He和其他天然气组分(Ne、Ar、CO_2、N_2和CH_4)的吸附、选择和渗透性能。结果表明,R-GY作为He分离膜可同时满足高选择性和高渗透率的要求。常温下,R-GY薄膜对He/Ne、He/CO_2、He/N_2、He/Ar和He/CH_4的选择性可分别达到2?10~7、3?10~(20)、9?10~(26)、7?10~(37)和5?10~(51),即使在600 K时仍可保持较高水平。此外,由于较低的扩散能垒,He穿透R-GY薄膜的渗透率在常温下可达到10~(-6) mol·m~(-2)·s~(-1)·Pa~(-1),高出工业标准近3个数量级;而其他气体组分在常温下的渗透率仅为10~(-58)-10~(-14) mol·m~(-2)·s~(-1)·Pa~(-1),气体无法渗透R-GY薄膜。     

6-硫代黄嘌呤互变异构体的密度泛函理论计算

在密度泛函B3LYP/6-311G**水平下,对14种气相和水相中可能存在的6-硫代黄嘌呤异构体进行了几何构型的全自由度优化,并计算出它们的总能量、焓、熵、吉布斯自由能。Onsager反应场溶剂模型用于水相的计算.计算结果表明,6-硫代黄嘌呤在气相中和水相中主要以硫酮的形式存在.在气相和水相中,硫酮-N7(H)均比硫酮-N9(H)更稳定.计算结果同已有实验结果一致.6-硫代黄嘌呤异构化的熵效应小,对互变异构平衡几乎没有显著的影响,而焓变对互变异构产生了主要的影响.较详细地讨论了水溶剂化作用对异构体的能量、几何结构、电荷分布和偶极矩的影响.     

Performance of Density Functional Theory for Transition Metal Oxygen Bonds

The accuracy of density functional theory (DFT) limits predictions in theoretical catalysis, and strong chemical bonds between transition metals and oxygen pose a particular challenge. We benchmarked 30 diverse density functionals against the bond dissociation enthalpies (BDE) of the 30 MO and 30 MO⁺ diatomic systems of all the 3d, 4d, and 5d metals, to test universality across the d-block as required in comparative studies. Seven functionals, B98, B97-1, B3P86, B2PLYP, TPSSh, B3LYP, and B97-2, display mean absolute errors (MAE) <30 kJ/mol. In contrast, many commonly used functionals such as PBE and RPBE overestimate M−O bonding by +30 kJ/mol and display MAEs from 48–76 kJ/mol. RPBE and OPBE reduce the over-binding of PBE but remain very inaccurate. We identify a linear relationship (p-value 7.6 ⋅ 10⁻⁵) between the precision and accuracy of DFT, i. e. inaccurate functionals tend to produce larger, unpredictable random errors. Some functionals commonly deviate from this relationship: Thus, M06-2X is very precise but not very accurate, whereas B3LYP* and MN15-L are more accurate but less precise than M06-2X. The best-performing hybrids have 10–30 % HF exchange, but this can be relieved by double hybrids (B2PLYP). Most functionals describe trends well, but errors comparing 5d to 4d/3d are ∼10 kJ/mol larger than group-wise errors, due to uncertainties in the spin-orbit coupling corrections for effective core potentials, affecting e. g. Pt/Pd or Au/Ag comparisons.     

镱硫属化合物的密度泛函理论研究

用密度泛函理论(DFT)研究镱硫属化合物的电子结构和性质,通过与实验比较考察了现有的几种近似密度泛函公式对镧系元素化合物的适用程度和相对论效应的影响.结果表明,用DFT计算的YbO键长对实验值的偏差约为0.002nm;但得到的键能即使在考虑梯度校正和相对论效应之后,仍比实验值高,在定域密度近似基础上引入交换梯度校正使键能计算值减小,其中PW86x使键能计算值减小稍多些,结果更接近实验值;相关梯度校正使键能计算值升高.相对论效应使键长缩短0.004～0.006nm,键能减小约0.5eV.计算结果的分析表明,Yb的5d轨道和配体的np轨道间形成σ键和π键.在所研究的分子体系中,配体原子从O到Te、Yb原子的5d轨道布后数依次减少,同键能减弱的顺序一致.相对论效应使键能减小的主要原因是在成键过程中发生了Yb的6s电子向5d轨道的转移,而相对论效应使该过程能量增加.偶极矩和电荷分布的计算表明,Yb-L键以共价性为主,相对论效应使共价性成份增加.