Mathematical simulation of phototransfer of the proton of a hydrogen bond under irradiation of a molecule by two light pulses

The time-dependences of the populations of molecular states are determined by the numerical solution of a set of equations for the matrix elements of a density operator for the five-level model of a molecule with different values of parameters of two nonoverlapping in time irradiation pulses and of the constants governing the rates of induced radiative transitions of the molecule, as well as the radiative and nonradiative decays of molecular states. It is proposed to use the results obtained as reference points in interpreting experimental data on the spectro-temporal characteristics of secondary emission upon photoisomerization of molecules with an intramolecular hydrogen bond under irradiation by two light pulses and in determining the mechanism of phototransfer of the hydrogen-bond proton occurring in this process.     

Numerical simulation of intramolecular dynamics during dual fluorescence

The dynamics of transformation of a light pulse by a five-level model molecule whose secondary emission spectrum can contain two fluorescence bands is simulated. The system of equations that determine the time behavior of the matrix elements of the statistical operator of the molecule interacting with the light pulse is numerically solved. From this solution, the time dependences of the populations of the molecular states are determined for different values of the parameters of the irradiation pulse, which is described in terms of the classical theory, and of the parameters that characterize the rates of radiative and nonradiative spontaneous transitions of the molecule. Based on particular examples of the choice of these parameters, it is demonstrated that the mechanism by which dual fluorescence occurs in molecules with intramolecular hydrogen bonds can be efficiently established from the numerically simulated intramolecular dynamics.     

Mathematical modeling of photoisomerization with intramolecular proton transfer

A system of equations describing time changes in the matrix elements of the density operator of a seven-level model of a molecule interacting with a light pulse taking into account spontaneous (including collective) decays of molecule excited states is suggested. Model parameters were selected to allow us to perform modeling of the photoisomerization of a molecule with two isomeric states with different stable proton positions on an intramolecular H-bond by numerically solving the suggested system of equations for density operator matrix elements. An analysis of the characteristic time dependences of the population of states of the model under consideration showed that proton phototransfer in the collective decay of various isomeric states of a molecule in an excited electronic state can be one of effective mechanisms of the photoisomerization of molecules whose structure is described by the model.     

New method for solving the time-dependent Schrödinger equation for molecules in a strong pulsed light field

A new approach to solution of the time-dependent Schrödinger equation for a quantum system affected by a strong electromagnetic laser field modulated in amplitude and frequency is proposed. This approach is based on application of the Floquet method and approximation of the Hamiltonian parameters slowly varying with time by step functions within the (t, t′) formalism. A relationship between the method developed and representation of the evolution operator in the form of the T-ordered product of operators acting at short time intervals is demonstrated. The method proposed is used to describe the response of a LiH molecule to the action of a radiation pulse and calculate the populations of the electronic states of the molecule under the pulse action. The evolution of the populations and dynamic susceptibility of the molecule and its relationship with the probabilities of Landau-Zener transitions between the electronic quasienergy states of the molecule have been analyzed.     

Prohibition of ortho-para transitions in a water molecule

A theoretical consideration is given to three types of prohibition of transitions between the rotational states of spin isomers of an H ₂ ¹⁶ O molecule, which are based on the molecular symmetry. This is the symmetry of the electron shell of the molecule, of the proton spin functions, of the spatial position of molecular nuclei, and of the rotational Hamiltonian. The prohibition of dipole transitions between isomers and the prohibition of transitions on the basis of the Pauli principle were known earlier. Another prohibition exists which is a consequence of the symmetric position of protons relative to the oxygen nucleus. Conditions are indicated under which the prohibition of ortho-para transitions in a water molecule disappear. In the general form these conditions are realized when the molecule loses the above-listed symmetries. Transitions are allowed in the dipole approximation if the proton spin moments are free and do not form superposition states and the O-H bond lengths are different because of nonlinearity of the molecular vibrations. The transitions are induced by the dipole-moment component due to the deformation of the electron shell of the molecule.     

Coherent Raman spectroscopy: From statics to dynamics and kinetics,progress in nonlinear methods

In spite of its 60-year history Raman spectroscopy is still progressing nowadays. Highly stable lasers and short pulse oscillators, perfect electronic data acquisition systems, new nonlinear optical approaches created new exciting perspectives for Raman spectroscopy. One of the most important tendencies is Raman spectroscopy application for studying nonequilibrium states, fast dynamics and kinetics of atoms, molecules and condensed matter. All these problems were until recently regarded as inaccessible for optical spectroscopy. Nonlinear optical techniques of Coherent Anti-Stokes Raman Scattering (CARS) and modulation spectroscopy appeared to be most effective and provided important real-time information on molecular excitation and dissociation dynamics, deep cooling of molecules in a supersonic jet, short laser pulse induced phase transitions at semiconductor interface and so on. Problems yet to be solved include direct measurement of intramolecular vibrational relaxation, conformations in biomolecules, optical “oscilloscopy” of molecular vibrations.     

Laser-heating diamond anvil cell studies of simple molecular systems at high pressures and temperatures

We report the application of new laser-heating techniques and sample preparation procedures for simple molecular materials (diatomic molecules and water) under high pressure in the diamond anvil cell (DAC). Both continuous and pulsed laser heating was employed. We probed the materials using Raman spectroscopy and also by analyzing the time evolution of the temperature of the metallic coupler that is used to absorb laser radiation and heat the sample. Raman measurements of H₂, D₂, N₂, H₂O and O₂ show a broadening of intramolecular vibrations at high P−T conditions, indicating a decreasing molecular lifetime, and hence suggest an increasing molecular dissociation. In diatomic molecules the intramolecular bonding can be further probed by observations of sidebands corresponding to vibrational transitions from excited states; the energies of these sidebands imply intramolecular potentials that become increasingly less anharmonic as pressure is increased. We also show that the pulsed heating technique combined with instantaneous radiative temperature measurements provides a useful tool for studies of thermochemical properties and phase transformation boundaries.     

Resonant propagation of femtosecond laser pulse in DBASVP molecule：one-dimensional asymmetric organic molecule

We have investigated the resonant propagation of femtosecond laser pulse in 4-trans-[p-（N, N-Di-n-butylamino）- p-stilbenyl vinyl] pyridine medium with permanent dipole moments. The electronic structures and parameters for the compound have been calculated by using density functional theory. In the optical regime, there is one charge-transfer state, and the molecule can thus be simplified as a two-level system. Both the one- and two-photon transitions occur between the ground and charge-transfer states. The numerical results show that the permanent dipole moments have an obvious effect on the propagation of the ultrashort pulse laser. The ideal self-induced transparency disappears for 2π pulse, and second harmonic spectral components occur significantly due to the two-photon absorption process. For the 6π pulse, continuum frequency generation is produced and a shorter duration pulse in time domain with 465 as is obtained.     

Proton exchange within water molecule

The exchange by quantum states between nuclear spins of two water molecule protons is considered. It is shown that such an intramolecular exchange does not break spin isomers of the molecule and does not cause quantum transitions between singlet and triplet states of the molecule spin system.     

瞬态吸收光谱茜素超快动力学研究

激发态质子转移是光物理学、光化学和光生物过程中最基本的化学反应之一。激发态分子内质子转移(excited-state intramolecular proton transfer, ESIPT)通常是指有机分子受到激发,到达激发态后,质子在激发态势能面上从质子供体基团转移到质子受体基团并形成含有分子内氢键多元环的过程, 一般发生在亚皮秒量级。质子转移可应用于有机发光二极管、荧光探针等领域。茜素,即1,2-二羟基蒽醌,可从茜草根部提取,具有与醌类衍生物相似的结构,常用于染料、染色剂和药物等。近年来,发现茜素分子具有质子转移特性,可用来制备新型“绿色”染料敏化电池。利用稳态吸收、稳态荧光和飞秒瞬态吸收光谱技术以及第一性原理理论计算对溶于乙醇溶液的茜素分子的质子转移过程进行了研究和分析。稳态吸收和稳态荧光研究结果表明: 在基态时,茜素分子的正常构型9,10-酮处于稳定状态,容易发生跃迁;在激发态时,茜素分子的互变异构体构型1,10-酮处于稳定状态,容易产生荧光发射。飞秒瞬态吸收光谱测量使用的激光的激发波长为370 nm。测得的瞬态吸收光谱在430 nm附近存在茜素的基态漂白信号。通过使用全局拟合方法对瞬态吸收光谱进行分析研究发现：茜素正常构型9,10-酮的激发态分子内质子转移时间为110.5 fs,茜素互变异构体构型1,10-酮分子内振动弛豫时间为30.7 ps,茜素互变异构体构型1,10-酮荧光寿命为131.7 ps。通过使用单波长动力学拟合的方法对瞬态吸收光谱进行分析发现：发生质子转移的时间尺度与运用全局拟合方法得出的结果基本一致;茜素分子的正常构型9,10-酮分子在110.5 fs的时间尺度内处于快速减少的趋势,而茜素分子的互变异构体构型1,10-酮分子在这一时间尺度内处于快速上升的趋势。当延迟时间增大时,茜素分子的互变异构体构型1,10-酮分子又呈现缓慢衰减的趋势。     

Energy transfer studies in krypton-xenon mixtures excited in a cooled DC discharge

The VUV spectrum of gaseous mixtures of krypton with a small amount of xenon added was investigated in the range 115-200 nm. The mixtures were excited in a capillary DC discharge where the capillary could be cooled by using liquid nitrogen. The mixed molecule band around the XeI resonance line at nm and the mixed molecule continuum to the long wavelength side from the line were analysed. The band around nm was identified as transitions between a weakly bound excited state and the weakly bound ground state of XeKr molecules. When cooling the capillary wall, the appearance of the Xe₂ continuum was observed. The effect is ascribed to energy transfer between molecular states as a consequence of radiation trapping in the band around nm. The role of the mixed molecule in the formation of the VUV spectrum of the gas mixture is discussed and underlined. Received 12 May 1999 and Received in final form 27 August 1999     

Investigation of reactions from the highest excited states of molecules by fluorescent spectroscopy methods

The effect of the highest excited states on the yield of photoproducts that are usually formed upon excitation of the first singlet electronic state of polyatomic molecules is discussed. It is shown that the excitation of molecular objects through the highest singlet states can, in some cases, increase the yield of reaction products. This allows one to estimate the probabilities of reactions from the corresponding states. The consideration concerns a wide range of primary photoreactions, including the electronic density redistribution (the intramolecular electron transfer) in the excited state, the protolytic reactions, the intramolecular proton transfer (the phototautomerization), the hydrogen bond formation, and the formation of excimers and exciplexes. The relations obtained are used to analyze the experimental fluorescence spectra of 3-hydroxyflavone solutions, excited by electromagnetic radiation with different wavelengths in the region of the S ₁, S ₂, and S ₃ absorption bands. The analysis fulfilled shows that the highest singlet states play an important role in the formation of tautomers in 3-hydroxyflavone due to the intramolecular proton transfer.     

Absorption and fluorescent properties of pyrylium compounds: II. Spectra and cross sections for absorption from the ground and excited states of the structurally rearranged form

The nonstationary absorption of solutions of 2,4,6-substituted pyrylium salt is studied by the pump-probe method. The solutions in methylene chloride are studied upon picosecond pumping and probing with different time delays. The solutions in methyl ethyl ketone are studied upon pumping and synchronous probing by nanosecond pulses. It is shown that excitation of the initially nonplanar molecule causes its structural rearrangement. As a result, substituent 2 enters into the pyrylium ring plane and two nonstationary conformers are formed that differ in the position of substituent 6. The motion upon structural rearrangement has a small amplitude, and localization of molecular orbitals changes only slightly. The temperature dependence of the nonstationary absorption is studied in the range from 293 to 223 K. The spectra and cross sections are measured for transitions from the S₀ and S₁ states. In addition, the activation energies and kinetic parameters of the rearrangement in the ground and excited states are determined. Experimental data are compared with theoretical calculations of the transitions from the S₁ state. It is shown that a partial flattening of conformer molecules results in the long-wavelength shift of the bands and an increase in the cross sections for transitions localized on a flat part of the molecule and does not change parameters of the band localized on the molecular part that did not change upon the rearrangement but remained nonplanar.     

Resonant light-scattering spectra of molecules with double-well vibrational potentials

Examples of excitation spectra lines for resonant Rayleigh and Raman scattering by model molecules with a double-well potential in a vibrational subsystem in both the ground and excited states are calculated based on numerical solutions of a stationary Schrodinger equation for a particle in a double-well potential. The obtained results demonstrate that the given formalism can be used, e.g., to establish the mechanism for transferring the proton of an intramolecular H-bond in the excited molecular electronic state upon monochromatic irradiation using resonant light-scattering spectroscopic data.     

On the theory of vibronic superradiance

The Dicke superradiance on vibronic transitions of impurity crystals is considered. It is shown that parameters of the superradiance (duration and intensity of the superradiance pulse and delay times) on each vibronic transition depend on the strength of coupling of electronic states with the intramolecular impurity vibration (responsible for the vibronic structure of the optical spectrum in the form of vibrational replicas of the pure electronic line) and on the crystal temperature through the Debye-Waller factor of the lattice vibrations. Theoretical estimates of the ratios of the time delays, as well as of the superradiance pulse intensities for different vibronic transitions well agree with the results of experimental observations of two-color superradiance in the polar dielectric KCl:O ₂ ^? . In addition, the theory describes qualitatively correctly the critical temperature dependence of the superradiance effect.     

Dynamics of photoprocesses induced by femtosecond infrared radiation in free molecules and clusters of iron pentacarbonyl

The dynamics of photoprocesses induced by femtosecond infrared radiation in free Fe(CO)₅ molecules and their clusters owing to the resonant excitation of vibrations of CO bonds in the 5-μm range has been studied. The technique of infrared excitation and photoionization probing (λ = 400 nm) by femtosecond pulses has been used in combination with time-of-flight mass spectrometry. It has been found that an infrared pulse selectively excites vibrations of CO bonds in free molecules, which results in a decrease in the yield of the Fe(CO)₅⁺ molecular ion. Subsequent relaxation processes have been analyzed and the results have been interpreted. The time of the energy transfer from excited vibrations to other vibrations of the molecule owing to intramolecular relaxation has been measured. The dynamics of dissociation of [Fe(CO)₅]_n clusters irradiated by femtosecond infrared radiation has been studied. The time dependence of the yield of free molecules has been measured under different infrared laser excitation conditions. We have proposed a model that well describes the results of the experiment and makes it possible, in particular, to calculate the profile of variation of the temperature of clusters within the “evaporation ensemble” concept. The intramolecular and intracluster vibrational relaxation rates in [Fe(CO)₅]_n clusters have been estimated.     

Phase dependence of enhanced ionization in asymmetric molecules

We study enhanced ionization (EI) in asymmetric molecules by solving the 3D time-dependent Schr?dinger equation for HeH2+ driven by a few-cycle laser pulse linearly polarized along the molecular axis. We find that EI is much stronger when the laser's carrier-envelope phase is such that the electric field at the peak of the pulse is antiparallel to the permanent dipole of the molecule (PDM). This phase dependence is explained by studying the molecule in the presence of a static electric field. When this field is antiparallel to the PDM, the energy of the dressed ground state moves up (with increasing internuclear distance R) to cross with excited states, leading to a stronger ionization via intermediate state resonances and via tunneling. We predict analytically the laser and molecular parameters at which these crossings are expected to occur in any asymmetric molecule.     

三自旋体系核自旋单重态的制备与单重态二维谱的实现

核自旋单重态是一种特殊的自旋状态,其寿命远长于相应自旋的横向和纵向弛豫时间,能够被用于研究分子的慢扩散、慢运动、特征信号选择等过程.目前单重态的研究主要集中于孤立的两自旋体系.而本文以N-乙酰基天冬氨酸（NAA）分子中由亚甲基和次甲基的三个氢原子核构成的三自旋体系为研究对象,将亚甲基中的两个氢核制备成单重态.利用优化控制和数值计算方法,分别设计了包含和不包含次甲基氢核耦合的单重态制备脉冲,结果发现,不考虑次甲基氢耦合设计的优化脉冲,其在实际三自旋体系中的单重态制备效率会显著下降.另外,我们以单重态为起点,实现了针对次甲基和亚甲基的信号选择COSY谱和NOESY谱,结果表明基于单重态的二维谱能够有效避免谱峰重叠现象,提高谱图分辨率,并有助于提高分子结构解析的准确性.     

Role of weak transitions in multiphoton excitation of molecules by IR laser radiation

Simultaneous excitation of a considerable part of molecules from many rotational levels of the ground state to higher vibrational states by IR laser radiation can be explained by considering weak transitions in a rotational band structure as it is shown at the example of SF₆ molecule. Very accurate compensation of anharmonicity in relatively wide spectral interval at comparatively low intensity of laser radiation can be explained on this basis. The considered scheme can be applied to the molecules of various symmetry with arbitrary anharmonicity.