An ab initio investigation of the low-lying electronic states of Bell

Potential energy curves （PECs） for the ground state （X2∑＋） and the four excited electronic states （A2∏, B2∏, C2∑＋, 4∏） of a Bell molecule are calculated using the multi-configuration reference single and double excited configuration interaction （MRCI） approach in combination with the aug-cc-pVTZ basis sets. The calculation covers the internuclear distance ranging from 0.07 nm to 0.70 nm, and the equilibrium bond length Re and the vertical excited energy Te are determined directly. It is evident that the X2∑＋, A2∏, B2∏, C2∑＋ states are bound and 4∏ is a repulsive excited state. With the potentials, all of the vibrational levels and inertial rotation constants are predicted when the rotational quantum number J is set to be equal to zero （J = 0） by numerically solving the radial SchrSdinger equation of nuclear motion. Then the spectroscopic data are obtained including the rotation coupling constant w e, the anharmonic constant WeXe, the equilibrium rotation constant Be, and the vibration-rotation coupling constant ae. These values are compared with the theoretical and experimental results currently available, showing that they are in agreement with each other.     

苯胺分子S_1态振动光谱及ab initio计算(英文)

利用紫外激光,结合超声速脉冲分子技术和飞行时间质谱仪,在287～296 nm波长范围内实验研究了苯胺分子的共振双光子电离光谱(R2PI).实验中观测到对应S_1←S_0跃迁的0-0带出现在293.86nm(3.4029 cm~(-1))处,并测得对应S_1态的若干振动模和来自S_0态的热带.为了对S_1态的振动模进行标定,分别在HF/6-31+G(d,p)和CIS/6-31+G(d,p)基组水平上对苯胺在S_0态的构型进行优化和在S_1态对其振动频率进行分析计算.另外,利用自然键轨道分析(NBO)讨论了电子激发过程.结果显示,来自氨基氮原子上的一个电子从对应的孤对电子轨道激发到苯环的π反键轨道上,恰好对应的是S_1←S_0跃迁.     

Anharmonic multi-phonon nonradiative transition: An ab initio calculation approach

Nonradiative carrier recombinations at deep centers in semiconductors are of great importance for both fundamental physics and device engineering. In this article, we provide a revised analysis of Huang's original nonradiative multi-phonon(NMP) theory with ab initio calculations. First, we confirmed at the first-principles level that Huang's concise formula gives the same results as the matrix-based formula, and that Huang's high-temperature formula provides an analytical expression for the coupling constant in Marcus theory. Secondly, we correct for anharmonic effects by taking into account local phonon-mode variations for different charge states of a defect. The corrected capture rates for defects in GaN and SiC agree well with experiments.     

Pressure dependence of the isomer shifts in Gd2Fe17: An ab initio calculation

The geometrical and chemical effects of interstitial doping on the average isomer shifts in the systems Gd₂Fe₁₇C₃ and Gd₂Fe₁₇N₃ are studied within the framework of the local density approximation using the linear-muffin-tin-orbital method in the atomic-sphere approximation. The sensitivity of the results on the details of the calculation is discussed. It is shown that it is not possible to extract reliable information on the geometrical effect of volume expansion upon interstitial doping of such system on the average isomer shifts by experiments on non-doped samples under compression.     

Anharmonic multi-phonon nonradiative transition: An ab initio calculation approach

Heat-bath algorithmic cooling(HBAC) has been proven to be a powerful and effective method for obtaining high polarization of the target system. Its cooling upper bound has been recently found using a specific algorithm, the partner pairing algorithm(PPAHBAC). It has been shown that by including cross-relaxation, it is possible to surpass the cooling bounds. Herein, by combining cross-relaxation and decoherence-free subspace, we present a two-qubit reset sequence and then generate a new algorithmic cooling(AC) technique using irreversible polarization compression to further surpass the bound. The proposed two-qubit reset sequence can prepare one of the two qubits to four times the polarization of a single-qubit reset operation in PPA-HBAC for low polarization. When the qubit number is large, the cooling limit of the proposed AC is approximately five times as high as the PPA-HBAC. The results reveal that cross-relaxation and decoherence-free subspace are promising resources to create new AC for higher polarization.     

Determination of dunham coefficients and calculation of the energies of highly excited vibrational-rotational levels of the carbon monoxide molecule in the electronic ground state

The values of Dunham constants are calculated for the electronic ground state of the carbon monoxide molecule on the basis of new values of the effective rotational and centrifugal constants and the energies of the high vibrational-rotational states are predicted. The peculiarity of the approach consists in the use of vibrational-rotational levels computed according to the traditional polynomial equation of energy values as the initial data for the procedure of Dunham coefficients determination. The role of the maximum degree of the Dunham polynom in determining its coefficients is analyzed, and the energy levels up to ν = 40 and J = 60 are calculated. A comparison with the literature data is made.     

An ab initio calculation of 17O and 29Si NMR parameters for SiO2 polymorphs

Ab initio molecular orbital calculations (Hartree–Fock, HF and density functional theories, DFTs) have been carried out for SiO₂ polymorphs coesite, low cristobalite, and -quartz, in order to investigate the reliability of this method for predicting ²⁹Si and ¹⁷O nuclear magnetic resonance (NMR) properties of silicates. Oxygen- and silicon-centered clusters consisting of one (1T) to three tetrahedral (3T) shells (one to four atomic shells), taken from real crystal structure, have been investigated. It is found that for reasonable predication of both the ²⁹Si and ¹⁷O chemical shifts (δ_i^Si and δ_i^O), the minimum cluster is one that gives the correct second neighbors to the nucleus of interest. Both the δ_i^Si and δ_i^O have reached convergence with respect to cluster size at the OH-terminated two tetrahedral (2T) shell (three atomic shells around Si and four atomic shells around O) model. At convergence, the calculated δ_i^Si values agree well (within ±1 ppm) with experimental data. The calculated ¹⁷O electric field gradient (EFG)-related parameters also agree with experimental data within experimental uncertainties. The calculation also reproduces small differences in δ_i^O for O sites with similar tetrahedral connectivities, but shows deviations up to about 10 ppm in relative difference for O sites with different tetrahedral connectivities. The poor performance for the latter is mainly due to the approximations of the HF method. Our study thus suggests that the ab initio calculation method is a reliable mean for predicting ²⁹Si and ¹⁷O NMR parameters for silicates. Such an approach should find application not only to well-ordered crystalline phases, but also to disordered materials, by combining with other techniques, such as the molecular dynamics simulation method.     

Ab initio calculation of the Hoyle state

The Hoyle state plays a crucial role in the helium burning of stars heavier than our Sun and in the production of carbon and other elements necessary for life. This excited state of the carbon-12 nucleus was postulated by Hoyle as a necessary ingredient for the fusion of three alpha particles to produce carbon at stellar temperatures. Although the Hoyle state was seen experimentally more than a half century ago nuclear theorists have not yet uncovered the nature of this state from first principles. In this Letter we report the first ab initio calculation of the low-lying states of carbon-12 using supercomputer lattice simulations and a theoretical framework known as effective field theory. In addition to the ground state and excited spin-2 state, we find a resonance at -85(3) MeV with all of the properties of the Hoyle state and in agreement with the experimentally observed energy.     

乙醚-水混合团簇的多光子电离质谱及从头算

应用多光子电离技术结合飞行时间质谱仪对乙醚与水的混合团簇进行了研究,实验中观测到了多个序列的质子化团簇： (CH3CH2OCH2CH3)nH+（n=1、2…6）、(CH3CH2OCH2CH3)nH2OH+（n=1、2…4）和(CH3CH2OCH2CH3)n(H2O)2H+ （n=2、3、4）。通过对质谱的研究发现,(CH3CH2OCH2CH3)3H2OH+为幻数结构。结合从头计算理论,在B3LYP/6-31G(d)基组水平上对乙醚与水混合团簇的可能构型进行优化,得到了其稳定构型。振动频谱分析显示,团簇中最强的红外振动模式主要来自氢键中H的伸缩振动的贡献。     

An ab initio calculation of O and Si NMR parameters for SiO2 polymorphs

Ab initio molecular orbital calculations (Hartree–Fock, HF and density functional theories, DFTs) have been carried out for SiO₂ polymorphs coesite, low cristobalite, and α-quartz, in order to investigate the reliability of this method for predicting ²⁹Si and ¹⁷O nuclear magnetic resonance (NMR) properties of silicates. Oxygen- and silicon-centered clusters consisting of one (1T) to three tetrahedral (3T) shells (one to four atomic shells), taken from real crystal structure, have been investigated. It is found that for reasonable predication of both the ²⁹Si and ¹⁷O chemical shifts (δ_i^Si and δ_i^O), the minimum cluster is one that gives the correct second neighbors to the nucleus of interest. Both the δ_i^Si and δ_i^O have reached convergence with respect to cluster size at the OH-terminated two tetrahedral (2T) shell (three atomic shells around Si and four atomic shells around O) model. At convergence, the calculated δ_i^Si values agree well (within ±1 ppm) with experimental data. The calculated ¹⁷O electric field gradient (EFG)-related parameters also agree with experimental data within experimental uncertainties. The calculation also reproduces small differences in δ_i^O for O sites with similar tetrahedral connectivities, but shows deviations up to about 10 ppm in relative difference for O sites with different tetrahedral connectivities. The poor performance for the latter is mainly due to the approximations of the HF method. Our study thus suggests that the ab initio calculation method is a reliable mean for predicting ²⁹Si and ¹⁷O NMR parameters for silicates. Such an approach should find application not only to well-ordered crystalline phases, but also to disordered materials, by combining with other techniques, such as the molecular dynamics simulation method.     

配合物Benzene-I2结构的从头算研究

采用分子轨道从头算方法,对苯用6-311+G**基组,对碘分子用相对论的有效核实势(RECP5s25p5),以及用密度函数方法(B3LYP),计算了配合物 Benzene-I2可能构形(7种)的结构,总能量和振动频率.经过筛选,同属Cs点群的两种结构是Benzene-I2的稳定结构.自然键轨道 (NBO)分析表明,配合物Benzene-I 2主要是由于苯环的π电子和碘分子的最低空轨道(LUMO)σ*轨道之间的相互作用形成的.本文还给出了这两种结构的势能曲线,并且用含四项Morse函数和一项C6R-6 的势能函数进行曲线拟合,给出了相应的拟合参数.     

CH3I分子的光解离的自旋-轨道从头计算

采用从头计算二阶自旋-轨道多组态准简并微扰理论计算了碘代甲烷CH₃I分子与基态²I⁰_3/2和激发态²I^0*_1/2原子解离极限相关联的势能曲线. 计算了CH₃I分子的吸收谱,分析了CH₃I分子的光解离过程,并估计了激发态碘原子²I^0*_3/2的量子产额. 计算结果表明,该方法可用以解释光解离实验结果. 关键词： 3I分子')" href="#">CH₃I分子 自旋-轨道耦合 量子产额 光解离     

CH3I分子的光解离的自旋-轨道从头计算

采用从头计算二阶自旋-轨道多组态准简并微扰理论计算了碘代甲烷CH3I分子与基态2I03/2和激发态2I0#1/2原子解离极限相关联的势能曲线.计算了CH3I分子的吸收谱,分析了CH3I分子的光解离过程,并估计了激发态碘原子2I0#3/2的量子产额.计算结果表明.该方法可用以解释光解离实验结果.