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}     

Electron-vibron coupling in high-resolution X-Ray absorption spectra of organic materials: NTCDA on Ag(111)

We report additional rich fine structures in high-resolution near-edge x-ray-absorption fine structure (NEXAFS) spectra of large organic molecules using NTCDA on Ag(111) as an example. These fine structures are completely interpreted as vibronic coupling to electronic core excitations. The coupling is mode selective; predominantly one vibronic mode couples to each excitation. The fit results suggest the occurrence of a Davydov splitting, first observed for core excitons. Morphological differences substantially influence the electron-vibron coupling, indicating a strong intermolecular interaction. Thus NEXAFS becomes a more subtle probe for organic solids.     

Vibronic coupling to nearly localized modes in diamond

The presence of sharp low energy vibronic progressions in several luminescing bands of brown diamonds is interpreted as due to a nearly localized vibrational mode, showing a weak coupling to resonant lattice phonons. The effect of this mode on the vibronic coupling is discussed and compared with experimental data.     

Resonance-enhanced multiphoton ionization spectroscopy of CH3 and CD3. Two-photon absorption selection rules and rotational line strengths of the ν3- and ν4-active vibronic transitions

To explore the possibility of K-level resolved, 2+1 resonance-enhanced multiphoton ionization (REMPI) processes of the methyl radical, the two-photon absorption selection rules and rotational line strengths of the 3₀¹ and 4₀¹ vibronic bands of the transition (n=3 or 4) were reported. Stringent selection rules, which were imposed upon these two-photon transitions, are the initial K″=3p (p=0,1,2,…), ΔK=±2, ΔU=±3, and ΔN=0,±1,±2 (O, P, Q, R, and S branches). The previously assigned 2₂² vibronic band of the methyl radical should be studied by the REMPI with a better spectral resolution and analyzed by the newly derived two-photon absorption selection rules and rotational line strength formulas.     

The AB2-XA1 electronic transition of NO2: A rovibronic survey covering 14 300-18 000 cm

More than 250 rotationally resolved vibrational bands of the A²B₂-X²A₁ electronic transition of ¹⁵NO₂ have been observed in the 14 300-18 000 cm⁻¹ range. The bands have been recorded in a recently constructed setup designed for high resolution spectroscopy of jet cooled molecules by combining time gated fluorescence spectroscopy and molecular beam techniques. The majority of the observed bands has been rotationally assigned and can be identified as transitions starting from the vibrational ground state or from vibrationally excited (hot band) states. An exceptionally strong band is located at 14 851 cm⁻¹ and studied in more detail as a typical benchmark transition to monitor ¹⁵NO₂ in atmospheric remote sensing experiments. Standard rotational fit routines provide band origins, rotational and spin rotation constants. A subset of 177 vibronic levels of ²B₂ vibronic symmetry has been analyzed in the energy range between 14 300 and 17 250 cm⁻¹, in terms of integrated density and using Next Neighbor Distribution. It is found that the overall statistical properties and polyad structure of ¹⁵NO₂ are comparable to those of ¹⁴NO₂ but that the internal structures of the polyads are completely different. This is a direct consequence of the X²A₁-A²B₂ vibronic mixing.     

光敏化反应生成单线态氧的电子耦合计算及其分子轨道重叠描述

三重态融合反应又称三重态-三重态湮灭反应,近年来被广泛应用于光催化、太阳能电池和生物成像等前沿领域. 在光敏化生成单线态氧的反应中,三重态激发的光敏剂分子通过三重态融合反应将激发态能量传递给基态氧分子³O₂,生成单重态的激发氧分子即单线态氧. 本文以6-aza-2-thiothymine为光敏剂,通过量子化学计算得到该反应的非绝热耦合强度,然后通过分子间运动下的积分转换,得到反应的透热电子耦合强度. 最后使用光敏剂分子和O₂的前线分子轨道计算轨道重叠强度,对量子化学计算得到的电子耦合值进行拟合,验证三重态融合反应的分子轨道重叠描述. 结果表明,分子轨道重叠可以较好地描述不同间距下光敏剂-O₂三线态融合反应的电子耦合强度分布,为预测三重态融合反应电子耦合提供了一种简便而有效的新方法.     

Vibronic coupling in the first four electronic states of CH2F+2

Vibronic coupling in the energetically lowest first four electronic states of CH₂F⁺₂ is studied in this paper. A model 4×4 Hamiltonian is constructed in a diabatic electronic representation employing normal coordinates of vibrational modes and standard vibronic coupling theory. Extensive ab initio quantum chemistry calculations are carried out to determine the parameters of the Hamiltonian and energetic ordering of the electronic states. The topographical features of the latter are examined at length and several conical intersections are established. Nuclear dynamics calculations on coupled electronic states are carried out from first principles by propagating wave packet. Theoretically calculated broad band vibronic structure of the four states are found to be in good accord with the experimental results.     

Electron-phonon and vibronic couplings in the FMO bacteriochlorophyll a antenna complex studied by difference fluorescence line narrowing

The electron-phonon and vibronic couplings governing the spectral properties have been studied in the Fenna-Matthews-Olson (FMO) bacteriochlorophyll a (BChl a)-protein complex at 4.5 K using a spectrally selective difference fluorescence line-narrowing technique. The complex is a part of the light-harvesting system of green photosynthetic bacteria. Its lowest-energy absorption band, peaking at 826 nm and responsible for the fluorescence, is believed to be due to Q_y transitions of largely isolated molecules. One of the main merits of the used method compared with the more common fluorescence line narrowing is that the zero-phonon lines (ZPL) resonant with the excitation laser can be accurately measured, allowing precise determination of the Huang-Rhys (HR) factors, the main characteristics of the linear electron-phonon and vibronic coupling strengths. Over 60 individual vibrational modes of intra- and intermolecular origin have been resolved in the energy range of 45-1600 cm⁻¹. The small HR factors for these modes, ranging between 0.001 and 0.018, add up to a value of S_vib=0.38±0.07. The effective HR factor for the phonons, S_ph, was found clearly wavelength-dependent, varying from ∼0.7 at short wavelengths to ∼0.3 at the long-wavelength tail of the absorption spectrum. Coupling between the BChl a molecules is likely responsible for this wavelength dependence.     

Simulation of structured 4T1→6A1 emission bands of Mn2+ impurity in Zn2SiO4: A first-principle methodology

A sequential, fully first-principle theoretical study of the Mn²⁺ green emission bands in the Zn₂SiO₄:Mn²⁺ phosphor is presented for the first time. A combined approach is developed based on the modern periodic density-functional theory and cluster ab initio wave-function-based electronic structure methods, the linear response theory for lattice phonons, and generating function formalism of vibronic spectra within the displaced multi-mode harmonic oscillator model. We obtain fairly good agreement between the calculated low- and high-temperature emission band positions, widths, zero-phonon lines and phonon wings and the available experimental emission studies, with special emphasis on Mn²⁺ distribution over two non-equivalent Zn²⁺ sites in the Zn₂SiO₄ material. An interpretation for vibronic structure observed in the low-temperature emission spectrum of this phosphor is suggested based on the present first-principle study.     

T1u×hg Jahn-Teller系统：D3d势阱中的频率分解与能级分裂

在C60分子中，未被填充的最低电子态具有T1u对称性，因此，对中性的C60而言，不论是通过分子内部激发，或是外部掺杂，都易被一个电子占据而形成Jahn-Teller（JT）活跃电子态.此态与五重简并的hg声子态耦合，构成所谓的T1u-hg -JT系统.在这一JT系统中，当只考虑电声的线性耦合时，其绝热势能面是一个槽形.但在实际的系统中，二阶电声耦合是存在的，理论研究表明，原来的势槽将被这二阶非线性耦合弯曲成D3d或D5d对称性的势阱.声子振动态在阱中将显示各向异性效应，使得声子沿不同的方向有不同的振动频率，进而影响势阱中的能级分布、势阱间的重叠积分，以及整个系统的隧道能级分裂等.对D3d势阱中各向异性效应进行了研究，利用幺正平移、?pik Pryce和标度变换等方法计算了系统势阱中的能级，以及阱中的振动频率，研究了势阱中的能级间隔以及微绕修正能量的变化，并由此导出了这些物理量在仅有线性耦合的势槽中变化的情形. 关键词： C60 Jahn-Teller效应 各向异性 电声耦合     

Possibilities of the observation of the discrete spectrum of the water dimer at equilibrium in millimeter-wave band

Attempts of experimental observations of the water dimer spectrum at equilibrium conditions have lasted for more than 40 years since the dimeric hypothesis for extra absorption, but have not yielded any positive confirmed result. In the present paper a new approach is considered: using a high-resolution millimeter-wave spectrum of the water dimer at equilibrium, calculated by a rigorous fully quantum method, we show the potential existence of discernible spectral series of discrete features of the water dimer, which correspond to J+1←J, K lines of E₁ symmetry, already observed in cold molecular beam experiments and having, therefore, well-defined positions. The intensity of spectral series and contrast to the remaining continuum-like spectrum of the dimer are calculated and compared with the monomer absorption. The suitability of two types of microwave spectrometers for observing these series is considered. The collisional line-width of millimeter lines of the dimer at equilibrium is estimated and the width of IR dimer bands is discussed. It is pointed out that the large width of IR dimer bands may pose difficulties for their reliable observation and conclusive separation from the rest of absorption in water vapor. This situation contrasts with the suggested approach of dimer detection in millimeter-waves.     

A renormalization scheme for calculating the spectrum of a vibronic system occurring in molecules or impurities in insulators

An iteration scheme which makes use of a numerical renormalization group approach is used to calculate the spectrum of vibronic levels. This spectrum resulted from dynamic effects occurring in certain molecules or impurities in insulators.The Hamiltonian of these systems is expressed in the matrix form, using products of suitable electron-phonon states as a basis. In applying this method to multimode electron-phonon systems, phonon modes are coupled in a chain-like fashion. Then a finite chain calculation in terms of Hubbard X-operators is explored by setting up the vibronic Hamiltonian.Calculations are based on Lanczos algorithm, in which only the nearest neighbor matrix elements along the chain need to be taken into account. The iterative scheme is then applied to a two-level electronic system coupled to phonons. A single-particle Green's function corresponding to a two-level system is applied to calculate the spectral density of states, which, coupled to single mode is carried out. The strength of lines in density of states is affected by the coupling constant as well as the temperature dependence of some measurable quantities.     

Vibronic model of the stress effects on the relaxed excited state of the F center

A vibronic model of the stress effects on the relaxed excited state of the F center is studied by taking into account the Γ⁺₁, Γ⁺₃, and Γ^-₄-mode phonons. The vibronic parameters and stress coupling coefficients are determined for KCl. The orbital reduction is discussed.     

On the Validity of Several Methods of Calculation of Vibronic Energy Relaxation Rates

Different approximation methods of calculation of the rates of vibronic energy relaxation are studied and compared with an exact one. The molecular vibrations are described by harmonic oscillators, the positions of equilibrium of which are assumed to be different in different electronic states. The finite line widths of the vibronic states are taken into account. It is found that the approximation methods provide too small values of the relaxation rates, particularly as the coupling strength becomes weak.     

Faraday Laser Magnetic Resonance Spectroscopy of Vibrationally Excited C2H

The gas phase spectrum of the C₂H radical in the region between 3191 and 3342 cm⁻¹has been studied using a Faraday LMR spectrometer with a CO overtone laser. The C₂H molecules were produced in an electric dc glow discharge of normal type containing a mixture of helium, acetylene, and hydrogen. We observed two bands of theX²Σ⁺→A²Π electronic transition with origins at 3321 and 3229 cm⁻¹. The lower level of both bands was the first excited bending level of the electronic ground stateX. The upper levels were assigned to two²Π vibronic levels with term values of 3693 and 3600 cm⁻¹, respectively. They correspond to mixtures of vibrationally excited levels of theXelectronic state with the lowest vibronic level of the first excited electronic stateA. From the analysis of the spectra we could determine the orbitalgfactors of the upper levels. These parameters are a very sensitive measure for the mixing between theXandAelectronic states. The experimentally derived values were compared with theoretical values, obtained byab initiocalculations, and could be explained by the theoretical model using an improved energy distance between theXandAstates.     

Origin bands of electronically forbidden spectra made allowed by centrifugal distortion

Watson’s theory of pure rotational spectra in nonpolar molecules is adapted to show that, if appropriate symmetry conditions are met, centrifugal distortion can lead to the appearance of the forbidden 0-0 origin band in an electronically forbidden spectrum. The intensity of such bands will be low; in the case of the benzene ùB_2u-¹A_1g system the maximum intensity of the forbidden origin is estimated to be about 10⁻⁷ of that of the 6¹₀ band in the main vibronic spectrum. The prospects for the experimental detection of such weak bands are discussed.     

单分子尺度的光量子态调控与单分子电致发光研究

分子尺度上的光电相互作用研究可以为发展未来信息和能源技术提供科学基础.扫描隧道显微镜不仅可以用来观察和操纵纳米世界中的原子和分子,而且其高度局域化的隧穿电流还可以被用来激发隧道结中的分子,使之发光,以研究局域场下的分子光电特性.本文综述了中国科学技术大学单分子光电研究组近期在锌酞菁分子电致发光方面取得的科学进展,包括：1）利用有效的电子脱耦合与纳腔等离激元调控技术,实现了隧穿电子激发下的单个锌酞菁分子的电致荧光,并通过发展相关的光子发射统计测量方法,表征了单个分子在隧穿电子激发下的电致荧光具有单光子发射特性;2）发展了具有亚纳米空间分辨的荧光光谱成像技术,实现了对酞菁分子间相干偶极相互作用特征的实空间观察;3）对分子与纳腔等离激元之间的相干耦合作用进行了亚纳米精度的操控,在单分子水平上观察到了法诺共振和兰姆位移效应.这些研究结果不仅为研发基于有机分子的电泵纳米光源与单光子光源等分子光电器件提供了新的思路,而且为在单分子尺度上研究分子光电特性、分子间能量转移以及场与物质之间的相互作用规律等提供了新的表征方法.     

Study of the protoporphyrin luminescence under selective laser excitation

The structural luminescence spectra of protoporphyrin IX solid solutions in ethanol and hydrochloric acid were obtained under selective laser excitation in the region of the inhomogeneouly broadened pure electronic and vibronic bands at T = 3.8 K. The dependence of the excitation selectivity on the excitation frequency was investigated. The vibrational frequencies of protoporphyrin IX were obtained in the ground and excited electronic states when the excitation frequency has been scanned in the region of pure electronic and vibronic bands, respectively. A universal apparatus is described for the investigation of the absorption and luminescence spectra of polyatomic molecules in the temperature range from 3.5 to 300 K under the dye laser excitation tunable in the spectral region 265–365 nm, 435–730 nm, detection of spectra in the region 300–900 nm with a polychromator and silicon intensified image detector and processing of the spectral information with an optical spectrum analyser controlled with a microcomputer.     

Phonon density of states of CdI2 deduced fro,the fine structure of the 3A2g → 1Eg electronic transition of CdI2:Ni2+

The absorption and MCD spectra of the ³A_2g → ¹E_g transition of CdI₂:Ni²⁺ at about 12,500 cm^?1 have been measured. The unusual vibronic fine structure is explained by the coupling of the phonons of the CdI₂ lattice to the electronic states of Ni²⁺. The dispersion curves for the acoustical and optical branches in the Brillouin Zone of CdI₂ are deduced.     

Control of optical properties of polymethine dye <Emphasis Type="Italic">J</Emphasis>-aggregates using different additives

The effect of various additives (NaCl, DNA, and CPB surfactant) on the structure and optical properties of luminescent molecular nanoclusters, J-aggregates of L-21 polymethine dye, has been investigated using stationary and time-resolved optical spectroscopy. It has been shown that all investigated additives enhance the dye aggregation and change its aggregate structure as manifested in a change of tilt angle between molecules in the molecular chain. Salt causes the biggest change of tilt angle whereas surfactant causes the smallest. It has been found that a decrease of tilt angle leads to an increase of J-aggregate luminescence intensity. The addition of CPB surfactant is shown to modify the exciton dynamics in J-aggregates whereas the other additives affect only their structure. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 76, No. 2, pp. 250–255, March–April, 2009.