Pu4+分子离子的几何构型与Jahn-Teller

在Pu原子的相对论有效原子实势近似下 ,用密度泛函B3LYP方法对Pu4 +分子离子的几何构型及其电子状态进行理论计算 ,得到了 6种稳定的几何构型 ,其中平面C2V结构最稳定 .Td 构型不能稳定存在 ,并详细讨论了Td 和D4h构型的Jahn Teller效应 ,讨论结果显示它们的各种畸变方式都符合群的分解原理 ,从而证明Pu4 +分子离子的Td 和D4h构型存在Jahn Teller效应     

C2+4的几何构型和Jahn-Teller效应

用从头计算法GCISD/6-311G*得到了C2+4分子的10种不同的几何构型,基中包括Cs,C∞v,C2v,D2h,D∞h,D4h,D2d,C3v等不同的构型.计算表明C2+4的Td构型不能稳定存在,详细讲座了Td构型的Jahn-Teller效应.讨论结果显示它们的各种畸变方式都符合群的分解原理,从而证明了C2+4分子的Td构型的Jahn-Teller效应非常明显.D4构型也存在Jahn-Teller效应.     

B+4分子的稳定构型和电子结构特征

在QCISD/6-311G*水平上研究了B+4分子的各种稳定构型. 首先通过从头计算优化出可能的稳定构型, 再通过振动频率的计算判断所得构型是局部极小或鞍点. 同时讨论了Jahn-Teller效应. 通过比较发现从头计算得到的各种构型与群论的结果一致, 并得出一些文献中报道的构型实际上是鞍点. 首次报道了非平面的C2v 构型.     

Pu2+2 分子离子的结构与势能函数

使用密度泛函B3LYP方法对Pu2+2分子离子进行了理论研究,结果表明,Pu2+2分子离子是亚稳定结构,基态电子状态为 13Σg,势能函数可以用Z-W函数来表征,并首次计算获得基态分子离子的力常数和光谱数据.     

C42+分子的T(○)e系统的Jahn-Teller效应与各向异性现象

依据Jahn-Teller效应理论与量子理论,利用群论和对称性分析的方法探讨了具有Td对称性构型的C42+分子的T(○)e系统的Jahn-Teller效应与各向异性问题.构建了T(○)e系统的电声耦合哈密顿量,借助么正平移变换求出了系统的基态与激发态及其能量.结果发现,由于电声耦合作用的缘故,系统发生了Jahn-Teller畸变,畸变导致在系统的势能面上形成了3个具有D2d对称性的势阱.无论系统处在哪一个势阱中,系统原初三重简并的能级都将分裂为两条能级.畸变还导致C42+分子从Td对称性降低到D2d对称性,同时C42+分子的振动频率发生分解,而频率的分解致使C42+分子的各向同性遭到破坏而呈现出各向异性.     

C42+分子的T  e系统的Jahn-Teller效应与各向异性现象

依据Jahn-Teller效应理论与量子理论,利用群论和对称性分析的方法探讨了具有Td对称性构型的C42+分子的T  e 系统的Jahn-Teller效应与各向异性问题。构建了T  e系统的电声耦合哈密顿量,借助么正平移变换求出了系统的基态与激发态及其能量。结果发现,由于电声耦合作用的缘故,系统发生了Jahn-Teller畸变,畸变导致在系统的势能面上形成了3个具有D2d对称性的势阱。无论系统处在哪一个势阱中,系统原初三重简并的能级都将分裂为两条能级。畸变还导致C42+分子从Td对称性降低到D2d对称性,同时C42+分子的振动频率发生分解,而频率的分解致使C42+分子的各向同性遭到破坏而呈现出各向异性。     

C42+分子的T  e系统的Jahn-Teller效应与各向异性现象

依据Jahn-Teller效应理论与量子理论,利用群论和对称性分析的方法探讨了具有Td对称性构型的C42+分子的T  e 系统的Jahn-Teller效应与各向异性问题。构建了T  e系统的电声耦合哈密顿量,借助么正平移变换求出了系统的基态与激发态及其能量。结果发现,由于电声耦合作用的缘故,系统发生了Jahn-Teller畸变,畸变导致在系统的势能面上形成了3个具有D2d对称性的势阱。无论系统处在哪一个势阱中,系统原初三重简并的能级都将分裂为两条能级。畸变还导致C42+分子从Td对称性降低到D2d对称性,同时C42+分子的振动频率发生分解,而频率的分解致使C42+分子的各向同性遭到破坏而呈现出各向异性。     

NH4+离子的结构和振动光谱

用Gaussian 03W 程序中的密度泛函B3LYP/6-31+G(d)方法对氨分子的质子化产物NH4+离子的可能几何构型进行了结构优化和频率计算，得到了它的稳定结构和红外振动光谱. 通过对计算结果的分析发现，NH4+的稳定构型为正四面体结构，属Td分子点群；它的红外振动光谱中共有两个位于3390 cm-1和1478 cm-1处的三重简并振动峰，分别对应着N-H键的反对称伸缩振动和弯曲振动.     

VH_2~+分子离子的结构与势能函数

本文从VH2+分子离子基态的电子状态及其离解极限出发,采用B3PW91的方法,对V原子采用SVP基组,对H原子采用6-311 ++G基组优化出VH2+(X3A2)分子离子稳定构型的平衡核间距Re=0 .1631 nm,∠HVH =112 .3858°,同时计算出振动频率,并使用多体项展式理论方法,导出了基态VH2+分子离子的分析势能函数,该势能表面准确地再现了VH2+(C2v)平衡结构,然后根据势能函数等值图讨论了反应势能面的静态特征,并利用杂化轨道理论解释了VH2+分子离子的结构.     

具有D4h对称性构型的C2+4分子的Jahn-Teller效应与能级分裂

依据量子理论与配位场理论,利用群论和对称性分析的方法探讨了C²⁺₄分子在具有D_4h对称性构型时,E×(b_1g+b_2g)系统的Jahn-Teller效应中的相关问题.研究了C²⁺₄分子的电子态与声子态的对称性及其活跃声子态,讨论了系统声子间的耦合与CG系数,构建了E×(b_1g+b_{2g 关键词： 2+4分子')" href="#">C²⁺4分子 对称性 能级分裂 Jahn-Teller畸变}     

Multiple groups in the symmetry classification of adiabatic electronic wavefunctions

It was originally shown by Longuet-Higgins and colleagues that when the electronic Schrödinger equation is solved as a function of the nuclear coordinates the adiabatic electronic wavefunction can undergo a change of sign after completing a closed circuit. This geometric phase occurs for a circuit around a conical intersection, and in particular around a conical intersection corresponding to a linear Jahn—Teller effect. The adiabatic wavefunctions are classified here under a group called the adiabatic multiple group, which is a generalization of the ‘vibronic double group’ of C _3v introduced by Hougen, and is distinct from the familiar electron-spin double group. Although the real electronic wavefunctions can be only double-valued, the groups can have higher multiplicity because of the possibility of different circuits. For a number of symmetric- and spherical-top point groups, the adiabatic multiple group is shown to be the direct product of the point group with a phase group. The adiabatic multiple group can be applied to individual adiabatic orbitals, and so to configurations built from these orbitals. This leads to the rule that the linear Jahn—Teller effect vanishes in the single-configuration approximation for configurations containing non-degenerate electrons plus an even number of e electrons. There does not appear to be any cancellation effect for electron configurations of cubic molecules containing f electrons.     

A first-principles study on phase transition induced by charge ordering of Mn3+/Mn4+ in spinel LiMn2O4

A first-order transition at 290 K in LiMn₂O₄ with a cubic spinel-type structure is known to degrade the electrochemical performance of the positive electrode of rechargeable lithium-ion batteries. Using first-principles density functional theory (DFT), we confirm that the phase transition is induced by charge-ordering of Mn³⁺/Mn⁴⁺ accompanied by orbital-ordering due to Jahn–Teller distortion, which is in agreement with the previous experimental results of Rodríguez-Carvajal et al. [J. Rodríguez-Carvajal, G. Rousse, C. Masquelier, M. Hervieu, Phys. Rev. Lett. 81 (1998) 4660]. The optimized structure of the low-temperature (LT) phase has orthorhombic symmetry with five distinct crystallographic sites for Mn. The spin integration at each Mn site shows that Mn³⁺ resides at three Mn sites and the remaining two sites are occupied by Mn⁴⁺ ions. Total energy calculations indicate that the LT phase is about 0.23 eV/ LiMn₂O₄ more stable than cubic LiMn₂O₄ (high-temperature phase). The electrochemical Li extraction reaction from the LT phase is also investigated using DFT calculations. The results indicate that the reaction is initially divided into two voltage regions. Electrostatic interactions in the LT phase are calculated using a point charge model, accounting for the features of the electronic configurations and electrochemical reactions.     

Electron spin resonance study of a CuIr2S4 single crystal

A spinel sulphide CuIr₂S₄ single crystal, which exhibits an orbitally induced Peierls phase transition at ～230?K, is investigated by electron spin resonance (ESR) spectroscopy. The phase transition is clearly manifested on the ESR spectra. It is suggested that the ESR signals are produced by a few non-dimerized Ir⁴⁺ ions. Moreover, an extra ESR spectrum appears at low temperature in addition to the paramagnetic ESR signals of Ir⁴⁺ ions, which is suggested to be caused by the Jahn–Teller effect of the non-dimerized Ir⁴⁺ ions. From the ESR results, it is found that the Jahn–Teller splitting energy ΔE _JT is much smaller than the spin-dimerization gap.     

C42+的几何构型和Jahn Teller效应

用从头计算法QCISD/6-311G得到了C₄²⁺分子的10种不同的几何构型,其中包括C_s,C_∞v,C_2v,D_2h,D_∞h,D_4h,D_2d,C_3v等不同的构型.计算表明C₄²⁺的T_d构型不能稳定存在,详细讨论了T_{d 关键词： 几何构型 4}²⁺')" href="#">C₄²⁺ Jahn Teller效应     

Theory studies of the local lattice distortions and the EPR parameters for Cu2+, Mn2+ and Fe3+ centres in ZnWO4

The local lattice distortions and the electron paramagnetic resonance (EPR) parameters (g factors, hyperfine structure constants and zero-field splittings) for Cu²⁺, Mn²⁺ and Fe³⁺ in ZnWO₄ are theoretically studied based on the perturbation calculations for rhombically elongated octahedral 3d⁹ and 3d⁵ complexes. The impurity centres on Zn²⁺ sites undergo the local elongations of 0.01, 0.002 and 0.013 Å along the C₂ axis and the planar bond angle variations of 8.1°, 8.0° and 8.6° for Cu²⁺, Mn²⁺ and Fe³⁺, respectively, due to the Jahn–Teller effect and size and charge mismatch. In contrast to the host Zn²⁺ site with obvious axial elongation (～0.31 Å) and perpendicular (angular) rhombic distortion, all the impurity centres demonstrate more regular octahedral due to the above local lattice distortions. The copper centre exhibits significant Jahn–Teller reductions for the spin-orbit coupling and orbital angular momentum interactions, characterised by the Jahn–Teller reduction factor J (≈0.29 ? 1). The calculated EPR parameters agree well with the experimental results. The local structures of the impurity centres are analysed in view of the corresponding lattice distortions.     

Structural,Magnetic and Optical Properties of Rh2☎ Centres in NaCl Lattices: An Explanation

A method for exploring Jahn—Teller systems in the framework of Density Functional Theory is described in the present work. Using such a method the properties of the Rh^2? centre in NaCl with remote charge compensation are studied. The calculations support the existence of a strong Jahn—Teller effect and account reasonably for the main features of EPR and optical spectra. The onset of charge transfer excitations is calculated to be at about 3.7 eV a fact which concurs with available experimental data. The elongated geometry is found to be about 200cm^?1 more stable than the compressed one in agreement with experiments.     

Nd0.5Pb0.5-xSrx (Mn, Fe)O3的局域结构畸变和磁输运性质的研究

通过X光衍射，穆斯堡尔谱和输运性质的测量研究了掺杂Fe的Nd0.5Pb0.5-xSrxMnO3样品的结构和磁输运性质。x光衍射和穆斯堡尔谱都表明了样品随Sr的增多结构畸变减小。Sr的掺杂同时也降低了室温时的电阻率并使磁电阻增大。由于在样品中Mn3+ 与 Mn4+的比率是一样的，也就意味着具有相同的双交换作用。所以Sr对样品性质的改变可以认为是由于晶格畸变所产生的。由于Jahn-Teller 效应而产生的Mn(Fe)O6八面体的局域结构畸变可以局域电子。由我们的实验可以看到在居里温度Tc以上，除了双交换作用之外，Jahn-Teller 效应对于输运性质也起了重要作用。     

Ultrasonic study on the Jahn–Teller effect near different phase transitions in La1/3Sr2/3MO3 (M=Mn,Fe, Co)

The longitudinal ultrasonic velocity (V_l), magnetization and resistivity of polycrystalline La_1/3Sr_2/3MO₃ (M=Mn, Fe, Co) have been measured between 20 and 300 K. Dramatic anomalies in V_l were observed near the temperature of the charge-ordering transition (CO), charge disproportionation transition (CD), and ferromagnetic transition (FM), which are explained by the Jahn–Teller effect originating from the M ions (M=Mn, Fe, Co). However, the detailed form of these anomalies is different, which is strongly depended on the M ion's unique electronic structure. For La_1/3Sr_2/3MO₃ (M=Mn, Fe), the V_l exhibits a valley around the CO transition temperature because of the localization of the Jahn–Teller active ions (Mn³⁺, Fe⁴⁺). And due to the instability of Fe⁴⁺, the CD transition occurs in La_1/3Sr_2/3FeO₃, which results in another softening in V_l, while only normal increase is observed in La_1/3Sr_2/3MnO₃. For La_1/3Sr_2/3CoO₃, the local lattice distortion via the Jahn–Teller effect of intermediate spin Co³⁺ leads to the velocity anomaly in the ferromagnetic metallic state.