基态和单态第一激发态的联氨单分子分解反应的密度泛函研究

本文运用密度泛函B3LYP/6-311+G(3df,2p)方法研究了联氨分子的电子结构和能量,并系统分析了联氨分子的分解反应,计算绘制了单分子联氨在基态和单态第一激发态下沿N-N分解反应的势能曲线。本文计算发现联氨分子在这两种电子态下的离解能分别是：基态58.8 kcal/mol,单态第一激发态495.5 kcal/mol。基态分子分解反应是吸热反应,而单态第一激发态分解反应是放热反应。计算发现单态第一激发态的激发能是554.2 kcal/mol。结合这两种电子态下联氨分子的红外振动频率分析,本文认为,在非强制断键的情况下,联氨分子沿N-N键均裂而生成两个NH2自由基的可能性很小。     

凝聚态硝基甲烷分解机理的密度泛函研究

用密度泛函理论在B3LYP/6-311++G(2d,2P)计算水平上对最低单态和最低三态的硝基甲烷分子进行了分子动力学计算分析,发现:基态硝基甲烷分子沿C-N键分解生成硝基和甲基反应通道上不存在过渡态,只能是在能量足够高的时候造成C-N键的断裂,键离解能为53.4kcal/mol;硝基甲烷分子在最低三态沿C-N键分解生成硝基和甲基的反应通道上,有一个活化能为87.8kcal/mol的能垒.计算得到硝基甲烷分子从基态到最低三态分解反应发生所需要的总能量为144.58kcal/mol.这个数值与硝基甲烷材料的电子碰撞实验在193nm处有强吸收峰的结论相符合.依据多声子迁移理论,结合硝基甲烷分子在最低三态动力学分解的可能性,可以认为在相同条件下,硝基甲烷材料在撞击条件下,分子沿CN键分裂生成硝基和甲基的反应在最低三态分子分解的可能性较大.文章用量化计算从分子构型、频率分析和势能面扫描方面对分析结论进行了加强和确定,并且,依据多声子迁移理论对硝基甲烷分子基态键离解过程、基态到三态激发过程和最低三态活化过程中的声子迁移进行了初步分析.     

凝聚态硝基甲烷分解机理的密度泛函研究

用密度泛函理论在B3LYP/6-311++G（2d,2P）计算水平上对最低单态和最低三态的硝基甲烷分子进行了分子动力学计算分析,发现,硝基甲烷分子基态沿C-N键分解生成硝基和甲基反应通道上不存在过渡态,只能是在能量足够高的时候造成C-N键的断裂,键离解能为53.4kcal/mol;硝基甲烷分子在最低三态沿C-N键分解生成硝基和甲基的反应通道上,有一个活化能为87.8kcal/mol的能垒。计算得到硝基甲烷分子从基态到最低三态份分解反应发生所需要的总能量为144.58kcal/mol.这个数值与硝基甲烷材料的电子碰撞实验在193nm处的有强吸收峰的结论相符合。依据多声子迁移理论,结合硝基甲烷分子在最低三态动力学分解的可能性,可以认为在相同条件下,硝基甲烷材料在撞击条件下,分子沿C-N键分裂生成硝基和甲基的反应在最低三态分子分解的可能性较大。文章用量化计算从分子构型、频率分析和势能面扫描方面对分析结论进行了加强和确定。并且,依据多声子迁移理论对硝基甲烷分子基态键离解过程、基态到三态激发过程和最低三态活化过程中的声子迁移进行了初步分析。     

氨分子的激发特征和电子态与振动态相互作用

采用密度泛函(DFT)B3P86方法优化得到了氨分子的基态稳定构型、红外光谱和拉曼光谱,利用对称匹配耦合簇-组态相互作用(SAC/SAC-CI)方法在D95++基组水平上,研究了氨分子基态的激发特征。结果表明,氨分子基态的红外光谱频率和拉曼光谱频率移位是完全相符的,振动的红外光谱和拉曼光谱都是活性的,这与理论分析一致。二维垂直振动ν3,5的红外强度为0.206km/mol,接近于零,这与氨分子的激发特征有关。基态氨分子是C3V群,激发态则变为D3h群,基态转变成激发态引起对称性增加和能量升高,这种变化不是Jahn-Teller效应,而是电子态与振动态相互作用的结果。从理论上分析了这种电子态与振动态相互作用,理论分析与计算结果一致。     

撞击诱导硝基甲烷分子第一步分解反应的动力学计算

本文基于分子温度与压强的关系,计算在不同压强下基态和最低三态硝基甲烷的分子温度,对应计算其沿着CN键裂解反应的热化学和动力学参数.发现基态的硝基甲烷沿着CN键的分解反应是吸热反应,不具自发性,反应转换温度为1550.2 K,平衡常数在80-1202 K温度范围内很低.最低三态的硝基甲烷沿着CN键的裂解是放热反应,反应的Gibbs自由能在80-2558.5 K范围内为负,有好的自发性,且反应较为彻底.298.15-2558.5 K温度范围内反应活化能随着温度的升高而改变,使反应速率随着温度的升高而急剧增大.对应硝基甲烷爆压15 GPa,其分子温度为4617.6 K,该温度下三态分子分解反应的反应速率为1.088×10~8cm~3·mol~(-1)·s~(-1).推算硝基甲烷沿着CN键分解反应混合物的终态温度,当混合物为硝基、甲基和基态的硝基甲烷分子时,反应的终温为1611.37 K,等效能为1676.47 cm~(-1).当混合物为硝基、甲基、基态和最低三态的硝基甲烷分子时,反应的终温为1184.79 K,等效能为1232.65 cm~(-1).两种情况下终态等效能都足以维持硝基甲烷分子沿C-N键裂解反应的发生.这个能量也足以导致混合物中的NO_2分解为NO和O,这与实验检测的结论相一致.     

AlH分子结构与分析势能函数

本文运用群论及原子分子反应静力学方法,推导了 AlH分子的基态(X1Σ+)、第一激发态(A1Π)及第三激发态(C1S+)的电子态及相应的离解极限.并使用SAC/SAC-CI方法,采用D95 (d)、6-311g(d)和cc-PVTZ等基组对AlH分子的基态(X1Σ+)、第一激发态(A1Π)和第三激发态(C1S+)的平衡结构和谐振频率进行了几何优化计算.通过对三个基组的计算结果与实验结果的比较,得到cc-PVTZ基组是三个基组中最优基组的结论.使用cc-PVTZ基组,对AlH 分子的基态(X1Σ+)、第一激发态(A1Π)和第三激发态(C1S+)进行了单点能扫描计算,并给出了AlH的基态(X1Σ+)、第一激发态(A1Π) 和第三激发态(C1S+)的Murrell-Sorbie函数形式的电子态的完整势能函数,进而得到了AlH分子第一激发态(A1Π)的激发能较小的结论.     

用多声子迁移模型理论研究硝基甲烷的分解机理（英文）

基于多声子迁移模型理论分析了撞击诱导硝基甲烷单分子分解反应可能存在的合理的反应路径.发现:对最低三态和基态的分子选择门模式分别为407 cm-1,436 cm-1和482 cm-1,616 cm-1时,计算得到的相同时间长度上的能量迁移参数分别为5.43×105J/mol*K,5.82×105J/mol*K和8.22×105J/mol*K,6.43×105J/mol*K.而理论计算CH3NO2分子从基态跃迁致最低三态所需能量为2.39×105J/mol,最低三态分子从C-N键断裂分解为硝基和甲基所需活化能为3.69×105J/mol;基态的CH3NO2分子从CN键断裂生成硝基和甲基所需能量为2.24×105J/mol.因此,能量迁移能够提供足够的能量使CH3NO2分子在基态或者在跃迁至最低三态后从C-N键断裂生成硝基和甲基.这个结论与实验报道的结论基本一致.     

交叉分子束实验研究F+D_2(v=1,j=0)反应（英文）

本文使用交叉分子束方法研究了氟原子和振动激发态氖分子D_2(v=1,j=0)的反应.使用受激拉曼抽运的方法制备了振动激发的D_2分子.实验中未观测到来自于旋轨耦合激发态氟原子F*(~2P_(1/2))与振动激发态D_2分子的贡献.观测到来自于旋轨耦合基态氟原子F(~2P_(3/2))和振动激发态D_2的反应信号,相应的产物DF分子布居于u'=2,3,4,5振动态上.与振动基态反应F+D_2(v=1,j=0)相比,振动激发态反应F+D_2(v=1,j=0)生成的DF产物转动分布更"热".获得了振动激发反应的四个碰撞能在0.32至2.62 kcal/mol范围内的微分反应截面.在最低的碰撞能0.32 kcal/mol下,所有振动态的DF产物都以后向散射为主.随着碰撞能的增加,DF产物的角分布逐渐从后向转移到侧向.测量了DF(v'=5)产物的前向微分散射截面随碰撞能变化的曲线.前向散射的DF(v'=5)信号出现于1.0 kcal/mol.在2.62 kcal/mol碰撞能下DF(v'=5)主要为前向散射.     

丙酮单重激发态C=O解离的理论研究

运用多参考微扰(MR)理论优化了丙酮基态和两个低激发态的稳定构型,解释了其构型的合理性;分别用含时密度泛函(TDDFT)和单电子激发组态相互作用(CIS)方法计算丙酮垂直激发能与实验值进行比较,发现TDDFT方法计算的结果与实验数据符合得最好.对丙酮基态和单重激发态C=O键的势能面进行扫描,分析其解离通道;对于丙酮单重激发态,1A1态的通道(3a)发生C=O解离几率最高.     

用多声子迁移模型理论研究硝基甲烷的分解机理

基于多声子迁移模型理论分析了撞击诱导硝基甲烷单分子分解反应可能存在的合理的反应路径。发现：对最低三态和基态的分子选择门模式分别为407cm-1,436cm-1和482cm-1, 616cm-1时,计算得到的相同时间长度上的能量迁移参数分别为5.43×105 J/mol*K ,5.82×105 J/mol*K 和8.22×105 J/mol*K,6.43×105 J/mol*K。而理论计算CH3NO2分子从基态跃迁致最低三态所需能量为2.39×105 J/mol,最低三态分子从C-N键断裂分解为硝基和甲基所需活化能为3.69×105 J/mol;基态的CH3NO2分子从C-N键断裂生成硝基和甲基所需能量为2.24×105 J/mol。因此,能量迁移能够提供足够的能量使CH3NO2分子在基态或者在跃迁至最低三态后从C-N键断裂生成硝基和甲基。这个结论与实验报道的结论基本一致。     

Mechanistic study of the unimolecular decomposition of 1,2‐dioxetanedione

The unimolecular decomposition of 1,2‐dioxetanedione, the high‐energy intermediate of the chemiluminescence peroxyoxalate reaction, was studied by theoretical means for the first time. Our calculations have provided results in line with the experimental data regarding this compound. 1,2‐Dioxetanedione decomposes due to a step‐wise biradical mechanism. In the biradical region of the decomposition path, there is a path for singlet chemiexcitation. Interactions between the singlet ground and excited states with triplet states can explain the weak unimolecular chemiluminescence of 1,2‐dioxetanedione. Copyright © 2013 John Wiley & Sons, Ltd.     

黑索金的电子结构和热解机理的从头算研究

利用从头算梯度修正密度泛函理论,我们在B3LYP/6-31G(d,p)水平上,计算了高能炸药黑索金(RDX)及其热解中间产物C3H6N5O4和NO2等的电子结构、能量、键级和一些热力学性质,并在此基础上,计算了键离解能和反应速率常数.此外,我们还分别从键级和键离解能角度,讨论了RDX的热解机理,所得结果与实验一致.     

过氧硝酸分解势能面的理论研究

使用密度泛函理论B3LYP/6-311+ G(2d,2p)研究了过氧硝酸的最低能量结构．采用耦合簇方法CCSD(T)/aug-cc-pVDZ首次分别扫描了过氧硝酸沿氧-氮和氧-氧键的分解势能面．计算结果表明在氧-氮势能面上,当O3—N4键长是2.82 ?时,对应的疏松过渡态的能垒是25.6 kcal/mol;在氧$-$氧键的势能面上,当O2—O3键长是2.35 ?时,对应的疏松过渡态的能垒是37.4 kcal/mol．这表明过氧硝酸更容易分解为HO₂和NO₂．     

Theoretical investigation on the excited‐state intramolecular proton transfer mechanism of 2‐(2′‐benzofuryl)‐3‐hydroxychromone

Spectroscopic studies on excited‐state proton transfer of a new chromophore 2‐(2′‐benzofuryl)‐3‐hydroxychromone (BFHC) have been reported recently. In the present work, based on the time‐dependent density functional theory (TD‐DFT), the excited‐state intramolecular proton transfer (ESIPT) of BFHC is investigated theoretically. The calculated primary bond lengths and angles involved in hydrogen bond demonstrate that the intramolecular hydrogen bond is strengthened. In addition, the phenomenon of hydrogen bond reinforce has also been testified based on infrared (IR) vibrational spectra as well as the calculated hydrogen bonding energies. Further, hydrogen bonding strengthening manifests the tendency of excited state proton transfer. Our calculated results reproduced absorbance and fluorescence emission spectra of experiment, which verifies that the TD‐DFT theory we used is reasonable and effective. The calculated Frontier Molecular Orbitals (MOs) further demonstrate that the excited state proton transfer is likely to occur. According to the calculated results of potential energy curves along O―H coordinate, the potential energy barrier of about 14.5 kcal/mol is discovered in the S₀ state. However, a lower potential energy barrier of 5.4 kcal/mol is found in the S₁ state, which demonstrates that the proton transfer process is more likely to happen in the S₁ state than the S₀ state. In other words, the proton transfer reaction can be facilitated based on the photo‐excitation effectively. Moreover, the phenomenon of fluorescence quenching could be explained based on the ESIPT mechanism. Copyright © 2015 John Wiley & Sons, Ltd.     

The ESIPT mechanism of dibenzimidazolo diimine sensor: a detailed TDDFT study

Spectroscopic investigations on excited state proton transfer of a new dibenzimidazolo diimine sensor (DDS) were reported by Goswami et al. recently. In our present work, based on the time‐dependent density functional theory (TDDFT), the excited‐state intramolecular proton transfer (ESIPT) mechanism of DDS is studied theoretically. Our calculated results reproduced absorption and fluorescence emission spectra of the previous experiment, which verifies that the TDDFT method we adopted is reasonable and effective. The calculated dominating bond lengths and bond angles involved in hydrogen bond demonstrate that the intramolecular hydrogen bond is strengthened. In addition, the phenomenon of hydrogen bond reinforce has also been testified based on infrared vibrational spectra. Further, hydrogen bonding strengthening manifests the tendency of ESIPT process. The calculated frontier molecular orbitals further demonstrate that the excited state proton transfer is likely to occur. According to the calculated results of potential energy curves along O–H coordinate, the potential energy barrier of about 5.02 kcal/mol is discovered in the S₀ state. However, a lower potential energy barrier of 0.195 kcal/mol is found in the S₁ state, which demonstrates that the proton transfer process is more likely to happen in the S₁ state than the S₀ state. In other words, the proton transfer reaction can be facilitated based on the photo‐excitation effectively. Moreover, the phenomenon of fluorescence quenching could be explained based on the ESIPT mechanism. Copyright © 2015 John Wiley & Sons, Ltd.     

Numerical Solution of the spin-1/2 Heisenberg Antiferromagnetic Chains Using a Projector Method

An efficient projector method is proposed to calculate the energy gap between the ground,state and the first excited state of the spin-1/2 Heisenberg antiferromagnetic chains. We exactly computed the two lowest-lying energies for the magnetization S_t^z= 0 and the lowestlying energy for S_t^z=±1 on chains up to 16 spins. The lowest-lying energy stat6 for S_t^z= 0 is a singlet ground state. The second lowest-lying energy state for S_t^z= 0 and the lowestlying energy states for S_t^z=±1 are triplet degenerate, which are the first excited energy states. We also imposed the Monte Carlo technique to estimate the lowest-lying energies for both S_t^z= 0 and 1 on longer chains up to 32 spins. We found that the singlet-triplet energy gap trends to zero as N→∞.     

Density Functional Study on Relative Energies, Structures, and Bonding of Low-lying Electronic States of Lutetium Dimer

用密度泛函理论方法研究了镥二聚体(Lu₂)低能量电子态的性质,计算了电子态相对能量、平衡键长、振动频率以及基态解离能,考察了密度泛函性质、相对论有效势种类以及Hartree-Fock交换作用大小对计算结果的影响．结果表明,无论采用何种密度泛函和相对论有效势,体系的基态都为三重态,与其他一些基于分子轨道理论的从头计算方法得到的结论是一致的．另外,与分子轨道从头计算结果以及实验结果比较发现,采用杂化密度泛函理论和Stuttgart小核有效势计算得到的结果总体吻合最好．最后,特别分析研究了B3LYP计算中Hartree-Fock交换作用大小对基态键长和基态解离能的影响,发现随着交换作用的增大,键长增长,解离能减小,这是由于5d轨道杂化导致的共价成键作用减弱造成的．     

Elaborating the excited state behavior of 2‐(4′‐N,N‐dimethylaminophenyl)‐imidazo[4,5‐c]pyridine coupling with methanol solvent

We present a theoretical investigation about the excited state dynamical mechanism of 2‐(4′‐N,N‐dimethylaminophenyl)‐imidazo[4,5‐c]pyridine (DMAPIP‐c). Within the framework of density functional theory and time‐dependent density functional theory methods, we reasonably repeat the experimental electronic spectra, which further confirm the theoretical level used in this work is feasible. Given the best complex model, 3 methanol (MeOH) solvent molecules should be connected with DMAPIP‐c forming DMAPIP‐c‐MeOH complex in both ground state and excited state. Exploring the changes about bond lengths and bond angles involved in hydrogen bond wires, we find the O7‐H8···N9 one should be largely strengthened in the S₁ state, which plays an important role in facilitating the excited state intermolecular proton transfer (ESIPT) process. In addition, the analyses about infrared vibrational spectra also confirm this conclusion. The redistribution about charges distinguished via frontier molecular orbitals based on the photoexcitation, we do find tendency of ESIPT reaction due to the most charges located around N9 atom in the lowest unoccupied molecular orbital. Based on constructing the potential energy curves of both S₀ and S₁ states, we not only confirm that the ESIPT process should firstly occur along with hydrogen bond wire O7‐H8···N9, but also find a low potential energy barrier 8.898 kcal/mol supports the ESIPT reaction in the S₁ state forming DMAPIP‐c‐MeOH‐PT configuration. Subsequently, DMAPIP‐c‐MeOH‐PT could twist its dimethylamino moiety with a lower barrier 3.475 kcal/mol forming DMAPIP‐c‐MeOH‐PT‐TICT structure. Our work not only successfully explains previous experimental work but also paves the way for the further applications about DMAPIP‐c sensor in future.     

Multireference configuration interaction potential curve and analytical potential energy function of the ground and low-lying excited states of CdSe

The potential energy curves (PECs) of the ground state ($^{3}\Pi )$ and three low-lying excited states ($^{1}\Sigma $, $^{3}\Sigma $,$^{ 1}\Pi )$ of CdSe dimer have been studied by employing quasirelativistic effective core potentials on the basis of the complete active space self-consistent field method followed by multireference configuration interaction calculation. The four PECs are fitted to analytical potential energy functions using the Murrel--Sorbie potential function. Based on the PECs, the vibrational levels of the four states are determined by solving the Schr\"{o}dinger equation of nuclear motion, and corresponding spectroscopic constants are accurately calculated. The equilibrium positions as well as the spectroscopic constants and the vibrational levels are reported. By our analysis, the $^{3}\Pi $ state, of which the dissociation asymptote is Cd($^{1}$S) + Se($^{3}$P), is identified as a ground state of CdSe dimer, and the corresponding dissociation energy is estimated to be 0.39\,eV. However, the first excited state is only 1132.49\,cm$^{ - 1}$ above the ground state and the $^{3}\Sigma $ state is the highest in the four calculated states.