Spectroscopic effects of conical intersections of molecular potential energy surfaces

A simple vibronic coupling model involving two electronic states and two vibrational modes is considered. The model is based on harmonic diabatic potentials and linear coupling of the diabatic electronic states. It is shown that the adiabatic electronic potential energy surfaces exhibit, in general, a conical intersection. The well known E × E and E × B Jahn-Teller problems are contained as special cases. Using numerical methods the optical absorption spectrum is calculated exactly. Extremely complex vibronic spectra are obtained when the conical intersection occurs within the Franck-Condon (FC) zone. The exact vibronic spectra are compared with spectra calculated in the adiabatic and FC approximation. The genuine spectroscopic effects of conical intersections are revealed by a comparison with the results of standard one-dimensional vibronic coupling calculations. The presence of a conical intersection limits the applicability of the adiabatic and FC approximations much more strongly than in the one-dimensional case. The upper adiabatic electronic state is strongly affected by non-adiabatic coupling even when the point of intersection lies outside the FC zone. The relevance of these results for the calculation of molecular electronic spectra is briefly discussed.     

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。     

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     

Coupled ab initio potential energy surfaces for the two lowest 2A′ electronic states of the C2H molecule

Realistic two-valued potential energy surfaces for the reaction C(³P) + CH(X²Π) → C₂ + H have been constructed from a set of high level ab initio data describing the first two ²A′ electronic states of the C₂H system. These states have linear equilibrium configurations, known as the X ²Σ⁺ and A²Π states, and are coupled by a conical intersection. They lead to the formation of C₂(X¹Σ⁺ _g) and C₂(a³Π_u) considering an adiabatic dissociation process. The ab initio calculations are of the multireference configuration interaction variety and were carried out using a polarized triple-zeta basis set. Using the ab initio adiabatic energies and the matrix elements of the dipole moment, a 2 × 2 diabatic representation of the electronic Hamiltonian was built. Each element of this Hamiltonian matrix was expressed within the double many-body expansion (DMBE) scheme which is based, in this case, on the extended Hartree-Fock approximate correlation energy model (EHFACE). The analytical adiabatic potential energy surfaces are then obtained as the eigenvalues of this matrix, and display correctly the Σ/Π conical intersection. Moreover, the non-adiabatic couplings given by our analytical model are compared with the ab initio ones, and good qualitative agreement is observed.     

Jahn—Teller coupling in the [Xtilde] 2E ground states of the CF3O and CF3S radicals

The Jahn—Teller and spin—orbit coupling in the ground states of the CF₃O and CF₃S radicals have been investigated experimentally by dispersed fluorescence spectroscopy. These spectra are analysed using a theoretical model that simultaneously includes spin—orbit coupling and multimode Jahn—Teller coupling, both linear and quadratic. We find that in each of these radicals a moderate linear Jahn—Teller effect exists in ν₆, with a much smaller coupling in ν₅. These results are compared and contrasted with those for the related radicals CH₃O and CH₃S. The experimental data and theoretical analyses of these four radicals represent the most thorough investigations to date of the combined effects of spin—orbit and Jahn—Teller coupling.     

Adiabatic-diabatic transformations for molecular systems: a model study of two interacting conical intersections

A model is presented for studying the interaction between two conical intersections (e.g. a dimer of two bound molecules each characterized by a conical intersection). The model is an extension of a previous model for a single conical intersection formed by an electron housed in a vibrating molecule (Baer, M. and Englman, R., 1992, Molec. Phys., 75, 293). We distinguish between two situations: when the coupling is weak (for instance when it takes place in the asymptotic region) and when it is strong. The study is accomplished by calculating the adiabatic—diabatic transformation (ADT) matrix. Whereas the features of the ADT matrix for weak coupling seem reasonable (and to a certain extent expected), we find some unexpected features in the case of strong coupling. In particular, the two characteristic ADT angles of the uncoupled systems namely (?_1/2) and (?_2/2) are replaced by two new ADT angles, namely, (?₁ + ?₂)/2 and (?₁—?₂)/2. This implies that the corresponding nuclear wavefunctions, which originally were multi-valued, become single-valued in cases of strong interaction.     

Pu+4的几何构型和Jahn-Teller效应

在Pu原子的相对论有效原子实势下,用密度泛函B3LYP方法计算得到Pu +4分子离子的6种稳定的几何构型.计算表明Pu+4的Td构型不能稳定存在,详细讨论了 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Pu+4分子离子的Td构型的Jahn-Teller效应非常明显.D4h 构型也存在Jahn-Teller效应.     

Exchange interaction and Jahn—Teller correlations in novel tetranuclear supramolecular Cu(II) grid complexes: an ESR study

Novel tetranuclear Cu(II) complexes in which four Cu(II) ions are arranged in a square planar fashion by four bis(bipyridyl)pyrimidine ligands were investigated by X and Q band ESR in the temperature range 4.2-300 K. The ESR spectra of this grid-like structure were well simulated as rising from triplet species. Analysis of their intensities allowed the spectra to be assigned to the first excited triplet state, and revealed intramolecular antiferromagnetic coupling of the Cu(II) spins. The isotropic exchange interaction J was determined as ?47 K and reducing to about ?5 K on functionalizing the bridging pyrimidine ring at the 2-position by methyl or phenyl. For comparison an ESR investigation was also carried out on the mononuclear analogue Cu(II)—(terpyridine)₂ complexes with substituted terpyridine ligands at the 5′ and 5″ position. Depending on the substitutent, the spectra exhibit a static or dynamic Jahn—Teller effect at room temperature. The temperature dependence of their g-values is examined by a modified Silver—Getz model which includes cooperative Jahn—Teller interactions. There is evidence that both an anisotropic spin exchange contribution to D = 0.0159 cm^?1 and a coupled (static) Jahn—Teller effect are responsible for efficient coupling between the four Cu(II) ions in the grid complexes with non-substituted pyrimidine bridges.     

Transitions between E and T states each coupled to e vibrational modes: The GR1 band in diamond

Transition between two electronic states are strongly affected because of Jahn—Teller coupling. The strengths of transitions from a T state to an E state, both states interacting with e vibrational modes, are investigated. Results are used to explain the origin of the GR1 band in diamond.     

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.     

Relativistic Jahn–Teller Effect for Triplet States of Tetrahedral Molecular Complexes

A relativistic multimode Jahn?Teller effect for tetrahedral molecular complexes in a triplet electronic state is considered. The analysis is based on the symmetry properties of the electronic Hamiltonian and its generalized symmetry operators, acting on both the coordinates (spatial operations) and spins (matrix operations) of the electrons. As a result, a 9 × 9 vibronic matrix that includes the vibronic coupling constants of orbital and spin-orbital nature and depends on the five normal modes of t₂ and e symmetry has been obtained.     

Jahn–Teller and coupled Jahn–Teller/Renner–Teller effects in the calculation of adiabatic-to-diabatic transformation angle for the lowest three 2A′ states of NH2 (NHH)

We report here on the first study of topological effects for the NHH system, as carried out by treating simultaneously the two dominant effects of this system, namely, the Jahn–Teller (JT) effect and the Renner–Teller (RT) effect. Both the effects were treated rigorously as demanded by the Born–Oppenheimer approach. No approximations were made and in those cases where convergence was required, it was achieved by including the required number of states. The study concentrates on calculating the privileged adiabatic-to-diabatic transformation (ADT) angle γ_12, along closed contours, which is the only needed angle to carry out the ADT in the case of relatively low energies. For this purpose, three coupled A′-states are usually considered and only in the last two extreme cases, where the area in configuration space becomes relatively large, namely 15–35 Ų, we had also to include an A^″ state (the second Δ-state), a situation that enforces the more elaborate (JT/RT) effect. In this paper, we also report on potential energies as calculated along the above-mentioned contours. Among them are considered the energies associated with the two adiabatic Δ-states, 1A′ and 1A^″, of different symmetry and therefore are responsible for the RT effect. These states are expected to be degenerate along the collinear axis. It was revealed that these states, in contrast to the Renner theory, are not degenerate along a finite interval of the collinear axis at the vicinity of the JT conical intersection (JT-CI). In other words, the JT-CI annihilates the RT degeneracy along this interval.     

The photoelectron spectra of methyl-substituted allenes and of tetramethyl-bisallenyl

The split Δ = 0.6 eV of the first band at 10.5 eV in the photoelectron spectrum of allene (1) has been ascribed to a Jahn—Teller distortion by Baker and Turner. The influence of alkyl substitution on Δ and on the band position has been investigated by recording the photoelectron spectra of all methyl-substituted allenes 2 to 6, of 1,1-di-tert. butyl-allene (7) and of 1,2-cyclononadiene (8). It is shown that the dependence of Δ on substitution can be rationalized by assuming that it is due to a (pseudo) Jahn—Teller effect in 1 and in the symmetrically substituted derivatives and to the combined influence of this effect and a differential, inductive destabilization in the other cases.The photoelectron spectrum of tetramethyl-bisallenyl 9 can be explained on the basis of known parameters for semi-localized π-orbitals and for their through-space and through-bond coupling.     

The photoelectron spectra of methyl-substituted allenes and of tetramethyl-bisallenyl

The split Δ = 0.6 eV of the first band at 10.5 eV in the photoelectron spectrum of allene (1) has been ascribed to a Jahn—Teller distortion by Baker and Turner. The influence of alkyl substitution on Δ and on the band position has been investigated by recording the photoelectron spectra of all methyl-substituted allenes 2 to 6, of 1,1-di-tert. butyl-allene (7) and of 1,2-cyclononadiene (8). It is shown that the dependence of Δ on substitution can be rationalized by assuming that it is due to a (pseudo) Jahn—Teller effect in 1 and in the symmetrically substituted derivatives and to the combined influence of this effect and a differential, inductive destabilization in the other cases.The photoelectron spectrum of tetramethyl-bisallenyl 9 can be explained on the basis of known parameters for semi-localized π-orbitals and for their through-space and through-bond coupling.     

Spin, charge, orbital and lattice degrees of freedom in quasi-cubic manganites: A brief review

The rich phase diagram of La_1-xCa_xMnO₃ is the consequence of the interplay of spin, charge, orbital and lattice degrees of freedom, giving rise to several magnetic phases, Jahn–Teller distortions, spin-canting and phase separation, and orbital and charge order. Each Mn ion is in a mixed valent state of two magnetic configurations, Mn⁴⁺ and Mn³⁺. We study the phase diagram using mean-field slave bosons for the itinerant e_g-electrons in two orbitals with excluded multiple occupancy of each site, Hund's rule interaction between the e_g and t_2g states and Jahn–Teller coupling of the e_g orbitals to the lattice.     

以一组统一的高斯函数为基函数的双原子分子的Hartree-Fock-Roothaan波函数(Ⅱ)——H2和第一列元素的同核双原子体系A2,A2~±和A2

采用文献的一组统一的doublezeta收缩高斯型函数为基函数,从头计算H₂和第一列元素的同核双原子体系的电子波函数和轨道能量、总能量等物理量。电子态包括同核体系的基态A₂,一些低激发态A₂~*和正负离子态A₂~±,A表示周期表中Li到F的各种元素。计算限于闭壳层电子组态或只带一个未填满的开壳层电子组态。作为例子,报道了H₂和几种基态A₂的电子波函数表。 关键词：     

Geometric and electronic structures of AlnCum (n = 5–9, m = 1–3) clusters: genetic algorithm combined with ab initio models

The geometries, stabilities and electronic structures of Al _n Cu _m (n?=?5–9, m?=?1–3) clusters were explored by using the genetic algorithm combined with ab initio methods. The geometric structures are almost spherical when the valence electrons are around the magic number 20, otherwise the structures are oblate or prolate. The stabilities of the clusters are related to both the Cu/Al ratios and the electronic configurations. The clusters with lower Cu/Al ratios have high stabilities. The molecular orbitals are in accord with the shell structures predicted by the jellium model. The 3d orbitals of the Cu atoms are localised, although their orbital energies are between the 1P and 1D jellium orbitals. The Al₆Cu₂ with 20 valence electrons forms closed 1S²1P⁶1D¹⁰2S² shells, and shows large binding energy and removal energy, large ionisation potential and small electron affinity. For the no-magic clusters, the structure deformation leads to crystal-field-like splitting of the degenerate shells and stabilises the clusters.     

Theoretical exploration of ultrafast spectroscopy of small clusters

We present the ultrafast multistate nuclear dynamics involving adiabatic and nonadiabatic excited states of non-stoichiometric halide deficient clusters (Na_nF_n-1) characterized by strong ionic bonding and one-excess electron for which the “frozen ionic bonds” approximation has been justified allowing to consider the optical response of the single excess electron in the effective field of the other electrons. We combined the Wigner-Moyal representation of the vibronic density matrix with the ab initio multi state molecular dynamics in the ground and excited electronic states including the nonadiabatic couplings calculated “on the fly” at low computational demand. This method allows the simulation of femtosecond pump-probe and pump-dump signals based on an analytical formulation, which utilizes temperature dependent ground state initial conditions, an ensemble of trajectories carried out on the electronic excited state as well as on the ground state after the passage through the conical intersection in the case of nonadiabatic dynamics and for probing either in the cationic state or in the ground state. The choice of the systems we presented has been made in order to determine the timescales of the fast geometric relaxation leaving the bonding frame intact as during the dynamics in the first excited state of Na₄F₃, and of the bond breaking processes leading to conical intersection between the first excited state and the ground state as in Na₃F₂. The former is the smallest finite system prototype for an surface F-center of bulk color centers. The latter allows to study the photo isomerization in full complexity taking into account all degrees of freedom. In the case of Na₄F₃ after the fast geometric relaxation in the excited state leading to deformed cuboidal structure without breaking of bonds, different types of internal vibrational redistribution (IVR) processes have been identified in pump-dump signals by tuning the dump laser. In contrast, from the analysis of the pump-probe signals of Na₃F₂ cluster, the timescales for the metallic and the ionic bond breaking, as well as for the passage through conical intersection have been determined. Finally the conditions under which these processes can be experimentally observed have been identified. Received 22 December 2000     

Structural and electronic effects of an Nb impurity in PZT crystals

Structural and electronic properties of technologically important lead–zirconate–titanate (PZT) crystals produced by Nb-doping are reported. The results are obtained using semi-empirical quantum–chemical simulations applied to a tetragonal PbZr_0.53Ti_0.47O₃ monocrystal, i.e. the morphotropic phase boundary of the PZT. The proposed concentration of Nb impurity is 1.5%, which, according to some experimental data, gives better piezoelectric properties of the material at this concentration. Analysis of the displacements of atoms surrounding the defect, changes in atomic charges and electronic properties explaining the augmentation of electric conductivity are given in light of the available experimental data. The results suggest the occurrence of free electrons in the conduction band of the material. The former observation might explain the formation of conducting Jahn–Teller (JT) electron polarons previously found in the other titanates.     

Isotope effect of hydrated clusters of hydrogen chloride,HCl(H2O) n and DCl(H2O) n (n = 0–4): application of dynamic extended molecular orbital method

The recently proposed dynamic extended molecular orbital (DEMO) method is applied to the HCl(H₂O) _n and DCl(H₂O) _n (n = 0–4) clusters in order to explore the isotope effect on their structures, wavefunctions, and energies, theoretically. Since the DEMO method determines both electronic and nuclear wavefunctions simultaneously by optimizing all parameters including basis sets and their centres variationally, we can get the different nuclear orbitals for proton and deuteron as well as their electronic wavefunctions. The positions of the centres of nuclear orbitals show that the deuteron has weaker hydrogen bonding than the proton. There are three isomers in the case of n = 3 clusters, and less stable isomers have hydrogen transferred and non-transferred structures. In the conventional MO calculation, both hydrogen transferred and non-transferred isomers are calculated to be energy minima. When we have applied the DEMO method, only the hydrogen transferred structure is obtained for HCl(H₂O)₃, while both structures are optimized for DCl(H₂O)₃. Such strong H/D dependence on the structures of the HCl(H₂O) _n and DCl(H₂O) _n clusters can be expressed directly by using the DEMO method. The present application demonstrates that the DEMO method is a useful tool for analysing the anharmonicity and vibronic effects of a hydrogen bonding system.