S3分子的几何结构: 分子轨道从头算和Franck-Condon分析

在考虑Dusehinsky效应情况下,给出了多维Franck-Condon因子的理论计算公式;利用分子轨道从头算,完成了S3分子的(～X)1A1态和S-3分子的(～X)2B1态的几何结构优化和谐振频率分析,模拟了S-3的光电子能谱.在光谱模拟中,利用迭代Franck-Condon分析,得到了S3分子的(～X)1A1态的几何构型参数:r(SS)=1.94±0.02 (°A)和∠((S-S-S)=117.35±0.05°.由所得的S3分子的键角对Nimols等人得的结果[J.Phys.Chem.1986.90:2574]给出一个新的解释.     

DOO-自由基光电子能谱的Franck-Condon分析

运用从头算方法优化了DOO基态 、第一激发态 及其负离子DOO-基态 的几何结构,并进行了频率分析. 且对 − 和 - 电子脱附过程进行了Franck–Condon分析和光谱模拟,得到的拟合光谱和实验谱吻合的非常好,通过光谱拟合确定了负离子DOO-基态和中性DOO第一激发态的几何结构.此外,还得到了DOO的电子亲和能和谱项能.     

S2O‾自由基光电子能谱的Franck-Condon分析

本文考虑多振动模混合和热带效应,凭借谐振子模型,推得计算两维-四振动模Franck-Condon重叠积分的解析表示,且应用于S2O‾ 自由基光电子能谱的理论研究。对于S2O( 1A′) – S2O‾( 2A″) 光脱附过程,结合分子轨道从头算和密度泛函理论,计算Franck-Condon因子,从而得到电子跃迁振动谱线的相对强度,理论上得到的光电子能谱与实验上观测到的能谱达到较好的一致;进一步在光谱模拟过程中,拟合实验能谱得到可靠的负离子自由基S2O‾电子态（ 2A″）的几何结构参数：键长R(SS) = 2.008 +/-0.005Å 和 R(SO) = 1.519+/-0.005Å.     

Franck-Condon 因子计算及甲醛光电子能谱的理论研究

本文凭借多振动模混合下任意维Franck-Condon 重叠积分封闭表示,推导出三维三振动模Franck-Condon重叠积分的解析表示式;基于厄米多项式的级数形式,得到计算三维三振动模Franck-Condon 因子的一般代数表示式。 另外,应用Franck-Condon 因子的代数表示,研究甲醛光电子能谱的强度分布及振动结构。 对于H2CO+( 2A1)← H2CO( 1A1)离子化过程, 基于ab initio力常数及几何参数,计算Franck-Condon 因子,得到光电子能谱的谱线相对强度。 结果表明理论模拟得到的光电子能谱与实验上观测到的能谱达到较好的一致;基于光谱模拟使人们能够对实验谱给予合理解释以及对谱峰进行正确归属。     

Franck-Condon因子计算及甲醛光电子能谱的理论研究

本文凭借多振动模混合下任意维Franck-Condon重叠积分封闭表示,推导出三维三振动模FranckCondon重叠积分的解析表示式;基于厄米多项式的级数形式,得到计算三维三振动模Franck-Condon因子的一般代数表示式.另外,应用Franck-Condon因子的代数表示,研究甲醛光电子能谱的强度分布及振动结构.对于H2CO+(珟Β2A1)←H2CO(珘X1A1)离子化过程,基于ab initio力常数及几何参数,计算FranckCondon因子,得到光电子能谱的谱线相对强度.结果表明理论模拟得到的光电子能谱与实验上观测到的能谱达到较好的一致;基于光谱模拟使人们能够对实验谱给予合理解释以及对谱峰进行正确归属.     

Assignment and analysis of the rotational spectrum of 3-chlorobenzonitrile

The rotational spectrum of 3-chlorobenzonitrile has been assigned and measured over the frequency region 9-290 GHz, both in the static sample and in supersonic expansion. Extensive measurements are reported for the ground states of the ³⁵Cl and the ³⁷Cl isotopomers. Precise spectroscopic constants have been determined from global fits to all available data, including resolved hyperfine splitting structure due to the presence of the chlorine and the nitrogen quadrupolar nuclei. Principal nuclear quadrupole tensors are derived for both ³⁵Cl and ¹⁴N nuclei in the parent isotopomer, and the results are compared with those for related molecules. The values of all spectroscopic constants are confronted with predictions from ab initio calculations in order to assess the utility of the array of simple techniques employed to increase quantitative accuracy of such predictions.     

A general formula of two-dimensional Franck-Condon integral and the photoelectron spectroscopy of sulfur dioxide

We derived a general formula of Franck-Condon integral for two-dimensional harmonic oscillators () taking into account the Duschinsky effect and applied it to study the photoelectron spectroscopy of SO₂ and . The equilibrium geometries and harmonic vibrational frequencies of , SO₂ and were calculated by using the density functional theory (B3LYP functional) and the coupled cluster singles and doubles with perturbative triples [CCSD(T)] methods with various basis sets up to 6-311+G(3df) and aug-cc-pVTZ. The adiabatic ionization energy and electron affinity were computed by using the CCSD(T) method extrapolated to the complete basis set limit with aug-cc-pVXZ (X = D, T, Q, 5). The simulated photoelectron spectra of both SO₂ and are in accord with the experiment. While the Duschinsky effect plays a role for some weak transitions of SO₂, it can be neglected for . A splitting observed in the experimental photoelectron spectrum of SO₂ is interpreted as contributing from hot bands and combination bands of ν₁ and ν₂, rather than arising from perturbation of a potential barrier as previous researchers proposed. The calculated adiabatic ionization energy and electron affinity are in agreement with the experiment within 0.027 and 0.040 eV, respectively.     

二氧化铬阴离子光电子能谱的理论研究

凭借密度泛函理论,采用不同基组对中性分子CrO2的基态（ 3B1）以及阴离子CrO2‾的基态（ 4B 1）进行几何优化和振动频率分析;应用量化计算得到的力常数及结构和光谱参数,基于推得的两维四模Franck-Condon重叠积分的代数表示,对CrO2 ( 3B1)－CrO2‾ ( 4B1) 的光脱附过程进行Franck-Condon分析和光谱模拟,理论上得到光电子能谱的谱线相对强度及振动结构分布,理论谱与实验测得的二氧化铬阴离子光电子能谱达到一致,并对光电子能谱的振动结构进行归属及热带分析;另外,在光谱模拟过程中通过迭代Franck-Condon分析过程,推得CrO2‾（ 4B1）与CrO2（ 3B1）平衡几何结构之差：ΔR(Cr-O)= 0.05Å,Δ(O-Cr-O)=12o.     

Ab initio calculations of transport properties of atomic bridges by the recursion-transfer-matrix method

We present an efficient self-consistent method for approaching quantum transport through atomic-scale structures. Using the recursion-transfer-matrix (RTM) method with a separable form of nonlocal pseudopotentials, scattering waves propagating between metallic electrodes through nano-bridged structures are efficiently calculated on the basis of the density-functional formalism. We performed calculations with this method of the conductance of Al atomic wires with various kinds of single atoms mixed at the contact to one electrode. We found that the transport properties are considerably affected by the bonding nature of the atom at the contact. The conductance is largely determined by the atomic species at the contact and does not change much as the length of the atomic wire increases.     

Modification of the structural and electronic properties of graphene by the benzene molecule adsorption

A survey of the literature data on the adsorption of benzene on graphene or carbon nanotubes indicates that the distance between the graphene sheet and benzene molecule is determined from weak van der Waals forces (∼3.40 Å). In our theoretical study, it was found that the benzene/graphene structure (in a specific configuration with carbon atoms located at the atop positions, stacked directly on the top of each other) forms strong covalent bonds, if the distance between the graphene and benzene is about 1.60 Å. Such a short distance corresponds to about a half of the usual separation between the graphite layers. It was also shown that at such a short distance the carbon atoms of the benzene molecule move towards the graphene sheet, whereas the hydrogen atoms move in a different direction, thus breaking the benzene planar structure.     

Rotational spectrum of the v11 = 1 and v14 = 1 vibrational states of CH3CCCCH

The pure rotational spectra of the v₁₁ = 1 and v₁₄ = 1 vibrational states of the main isotopic species of methyldiacetylene have been recorded and assigned in the 80-400 GHz frequency range, spanning the quantum numbers 19 ? J ? 95 and 0 ? K ? 15. The present study allows us to provide accurate rotational, centrifugal distortion and vibration-rotation interaction constants. The experimental investigation has been strongly supported by quantum-chemical computations at the second-order Møller-Plesset theory (MP2) in conjunction with a triple-zeta quality basis set.     

First principles simulations of energy and polarization dependent angle-resolved photoemission spectra of Bi2212

We discuss first-principles simulations of angle-resolved photoemission (ARPES) intensity in Bi2212 where the photoexcitation process is modeled realistically by taking into account the full crystal wavefunctions of the initial and final states in the presence of the surface. Some recent results aimed at understanding the effects of the energy and polarization dependencies of the ARPES matrix element are presented. The nature of the Fermi surface (FS) maps obtained via ARPES by holding the initial state energy fixed at the Fermi energy (E_F) is clarified. The theoretically predicted FS map at 21 eV photon energy displays a remarkable level of agreement with the corresponding ARPES spectrum taken over a large area of the (k_x,k_y) plane. Our analysis shows how the ARPES matrix element can help disentangle closely spaced energy levels and FS sheets and highlight different aspects of the electronic spectrum in complex materials under various experimental conditions.     

Ab initio investigation of the CdTe (001) surface

Based on first-principles density functional pseudopotential calculations, the CdTe (001) surface has been studied. Atomic configurations of different reconstructions are obtained with good accuracy. This reveals the efficiency of the force calculation for the surface relaxations. The surface energies were calculated on relaxed surface slabs as a function of the chemical potentials. The main result is that the energy of the Te-terminated dimerized surface with a (2 × 1) reconstruction is larger than the Cd-terminated c(2×2) reconstructed surface. This is in agreement with what was suspected by the equilibrium model introduced by F. Tinjod et al., which explains the formation of the quantum dots in CdTe/ZnTe superstructures.     

Many-body effects in the optical absorption of lithium azide (LiN3)

Until recently most of the understanding achieved for solid explosives has been obtained using various semi-empirical approaches due to a major role of excitonic effects in the mechanisms of decomposition. Nevertheless, during the last two decades, thanks to the ongoing progress in iterative computational methods, the inclusion of the electron-hole interaction in ab initio calculations has become a standard approach in solid-state theory. In this paper, the electronic structure and optical properties of bulk lithium azide are investigated, taking into account the electron-hole interaction via the Bethe–Salpeter equation (BSE). Here, we employ the kernel polynomial method (KPM), which significantly reduces the computational cost compared to direct diagonalization methods. The calculations of the imaginary part of the polarization dependent dielectric function including excitonic effects are reported for the first time. Then, we show a density map of the two-particle wave function and propose an alternative interpretation of the initial stages of the externally triggered chemical decomposition, based on the analysis of two-particle states near the absorption edge.     

First principles computational investigation on the possibility of Pt-decorated SiC hexagonal sheet as a suitable material for oxygen reduction reaction

First principles calculations play a significant role in developing and optimizing new energy storage and conversion materials especially at the nanoscale. In this work, the structural, energetics and, electronic properties of adsorbed Pt atom onto two-dimensional graphene, hexagonal BN (h-BN) and SiC (h-SiC) sheets have been investigated at DFT–B3LYP level of theory using coronene molecule as a suitable model. Spin-polarization and model size effects on the Pt adsorption properties have also been evaluated. Various positions for establishing Pt atom on the selected substrates have been considered and full structural optimization was carried out for all selected systems. The adsorption energies, electronic structures and charge population analysis indicated that in all the studied structures there were strong interaction between two interacting entities. It was also found that the adsorption ability of h-SiC is much stronger than the other counterparts with adsorption energy of −3.828 eV.We have also examined the O₂ adsorption properties of Pt-decorated graphene, h-BN and h-SiC sheets for possible tunability of O₂ adsorption strength of systems under study. We found that h-SiC sheet possess a weakened O₂ adsorption energy among the selected substrates. In view of the strong stability of adsorbed Pt atom on h-SiC sheet and relatively weaker O₂ adsorption energy, one can expect that h-SiC might be a promising material for support assistant as well as increasing the catalytic activity of Pt atoms compared to graphene and h-BN substrates. This may attribute to preventing aggregating of Pt atoms due to the strong fastening nature of the h-SiC sheet and also by affording a balance in the O₂ adsorption strength that lead to enhanced catalyst turnover. Therefore, our first principles findings offer a unique opportunity for design and applications of SiC-based nanoscale supports in fuel cell technology.     

Ab initio study of the structural,electronic and elastic properties of AgSbTe2, AgSbSe2, Pr3AlC,Ce3AlC,Ce3AlN,La3AlC and La3AlN compounds

In this paper, we study the structural, electronic and elastic properties of the ternary AgSbTe₂, AgSbSe₂, Pr₃AlC, Ce₃AlC, Ce₃AlN, La₃AlC and La₃AlN compounds using the full-potential linearized augmented plane wave (FP-LAPW) scheme and the pseudopotential plane wave (PP-PW) scheme in the frame of generalized gradient approximation (GGA). Results are given for the lattice parameters, bulk modulus, and its pressure derivative. The calculated lattice parameters are in good agreement with experimental results. We have determined the full set of first-order elastic constants, shear modulus, Young's modulus and Poisson's ratio of these compounds. Also, we have presented the results of the band structure, densities of states, it is found that this compounds metallic behavior, and a negative gap Г→R for Pr₃AlC. The analysis charge densities show that bonding is of covalent–ionic and ionic nature for AgSbSe₂ and AgSbTe₂ compounds.     

Ab initio investigation of the Renner-Teller effect in tetra-atomic molecules

A method for theoretical ab initio treatment of the Renner-Teller effect in tetra-atomic molecules is described. It is based on the model developed in 1972 by Petelin and Kiselev, but instead perturbationally, as in the original work, the vibronic problem is solved by a variational approach. The reliability of the approximations on which the model is based is discussed in detail and checked by the explicit ab initio computations carried out at various levels of sophistication. The model is extended to take into account the interplay between the vibronic, spin-orbit and magnetic hyperfine couplings. The results of ab initio investigations of the structure of spectra involving the ground states, X²Π_u of C₂H⁺₂ and B₂H⁺₂ are reviewed.     

Reformulation of density functional theory for N-representable densities and the resolution of the v-representability problem

Density functional theory for the case of general, N-representable densities is reformulated in terms of density functional derivatives of expectation values of operators evaluated with wave functions leading to a density, making no reference to the concept of potential. The developments provide proof of existence of a mathematical procedure that determines whether a density is v-representable and in the case of an affirmative answer determines the potential (within an additive constant) as a derivative with respect to the density of a constrained search functional. It also establishes the existence of an energy functional of the density that, for v-representable densities, assumes its minimum value at the density describing the ground state of an interacting many-particle system. The theorems of Hohenberg and Kohn emerge as special cases of the formalism. Numerical results for one-dimensional non-interacting systems illustrate the formalism. Some direct formal and practical implications of the present reformulation of DFT are also discussed.     

Comment on "Investigation on optical properties of ZnO nanowires by electron energy-loss spectroscopy"

Recently, Zhang et al. have published a paper [Zhang, Z.H., Qi, X.Y., Jian, J.K., Duan, X.F., 2006. Micron 37, 229–233] in which – among others – the determination of the optical properties of a semiconductor by use of electron energy-loss spectroscopy (EELS) is performed with 200 keV electrons and a collection angle of only 0.3 mrad. The authors do not take into account relativistic effects such as Čerenkov losses (CL) before performing Kramers–Kronig Analysis (KKA) on the EELS spectra obtaining erroneous results. Although the positions of features within the optical properties are consistant with the simulated ones, the relative hights or absolute values differ a lot.