BaBPO5晶体晶格振动光谱研究与第一性原理计算

通过偏振拉曼光谱和第一性原理计算对非线性光学晶体BaBPO₅的 晶格振动模式进行了研究. 实验得到了不同几何配置下、在100–1600 cm^-1范围内的晶体偏振拉曼光 谱与傅里叶变换红外吸收谱, 结合因子群分析方法研究了晶体的外振动与内振动模式特征. 分析表明拉曼振动主要来自于PO₄四面体和BO₄四面体的振动, 且PO₄基团振动具有较强的拉曼与红外活性. 此外,根据第一性原理对晶体拉曼振动进行了数值模拟, 进一步明确了拉曼峰与晶体中原子振动的对应关系, 计算表明拉曼光谱中位于672 cm^-1峰位来自晶体中B–O–P键的伸缩振动, 这是晶体中PO₄四面体和BO₄四面体共顶点连接的特征结构在光谱中的体现.     

Manifestation of the Jahn-Teller effect in vibrational spectra of the MnF3 molecule

The experimental data on the structure and vibrational spectrum of the MnF₃ molecule are analyzed. The vibrational modes are calculated and the vibrational spectrum of MnF₃ is interpreted. A model of the electronic structure of trifluorides of transition metals is suggested which explains the observation of the strong Jahn-Teller effect in MnF₃, and the influence of this effect on the molecular spectrum is discussed.     

Laser optogalvanic spectrum of pure bromine discharge

Doppler limited laser optogalvanic (LOG) spectra are obtained by irradiating a bromine discharge with a cw dye laser. The discrete bands of the Br₂ B-X system appear superimposed on a strong continuum. The LOG spectrum is closely identical with the absorption/emission spectrum of Br₂. Some extra bands and assigned in theB-X system are also observed and their vibrational quantum number assignment is given.     

First-principles calculation of nuclear resonance vibrational spectra

We present a ‘first-principles’ methodology for the calculation of the parameters that are required for the simulation of nuclear resonance vibrational spectra (NRVS) of molecular systems. Formulae are given for the intensities of vibrational transitions corresponding to the so-called single- and double-phonon contributions to the NRVS signal. The method is also valid for those vibrations that are not in the high-frequency/low-temperature limit. We have rigorously treated the issue of orientational averaging of the Lamb–Mössbauer factor and the effect of the neglect of its anisotropy on the calculated NRVS pattern. Normal mode composition factors are determined in a compact form as appropriate components of an orthogonal matrix that diagonalizes the Hessian matrix. The method is illustrated by simulating the NRVS spectra and the partial vibrational density of states of [FeO(H₂O)5]²⁺ on the basis of vibrational frequencies and normal mode composition factors obtained from density functional theory (DFT) calculations.     

A simple and flexible atom-surface potential with easy-to-handle vibrational spectrum

A highly flexible empirical potential V_p(z) suitable to describe the main features of the laterally averaged atom-surface interaction is presented and an accurate expression for the vibrational spectrum of the atom in V_p(z) is given. This establishes a simple method of inversion of the atom-surface vibrational spectra particularly suitable for levels located in the deepest 9/10 of the potential well. The present method is complementary to the one introduced by Le Roy [5].     

Calculation and investigation of infrared absorption spectrum of rhodanine

The IR absorption spectrum of rhodanine was obtained in the 400–3500 cm^–1 region. A full set of frequencies for the vibrational spectrum was determined by a mechanical model with C_s symmetry, and an interpretation of the bands in the IR spectrum of rhodanine is given. The change in the IR spectrum of cyclopentane when the structure of the ring is complicated by introduction of two heteroatoms is examined. It is shown that a sulfur atom reduces and a nitrogen atom increases the frequencies of the ring stretching vibrations. Successive increase in the number of heteroatoms in the cyclopentane ring lowers the D_5h symmetry of the molecule, but traces of high symmetry remain in the spectrum of rhodanine.     

强红外场作用下BCl3振动态传能动力学研究

基于文献[1],本工作在较高泵浦激光能通量范围,测量并研究了BCl₃分子振动激发v_3吸收谱及时间演变,观察了v₃激发弛豫的几种能量转移过程,以及对泵浦激光能量BCl₃气压等参数的依赖关系。表明泵浦光脉冲产生一个振动态非热分布的系综,转动能量转移对引起这种非热分布有重要作用。用简化碰撞动力学模型讨论了BCl₃振动激发吸收谱的演变过程,得到振动态再分布的简单关系;Pτ_v-v≌c/K′(T_v,T₀,q)和等效振动温度、平均吸收光子数的分析表达式,与实验结果定性地符合。 关键词：     

Atomic dynamics of a <Emphasis Type="Italic">d</Emphasis>-AlNiFe decagonal quasicrystal

The atomic dynamics of an Al_71.3Ni₂₄Fe_4.7 decagonal quasicrystal has been investigated using the isotopic contrast method for inelastic neutron scattering. The partial vibrational spectra of the Ni, Fe, and Al atoms and the spectrum of the thermal vibrations of the alloy have been reconstructed directly from the experimental data without any model assumptions. The cutoff energies and the positions of the main features of the spectra have been determined. It has been revealed that the average binding energy of the nickel atoms in the quasicrystal under investigation is lower than that of the iron atoms and the vibrational spectrum of the aluminum atoms is noticeably harder than the spectrum of the pure metal. The results obtained for the d-AlNiFe decagonal quasicrystal have been compared with the previously published data for an i-AlCuFe icosahedral quasicrystal.     

The experimental vibrational infrared spectrum of lemon peel and simulation of spectral properties of the plant cell wall

The experimental vibrational IR spectra of the outer part of lemon peel are recorded in the range of 3800–650 cm^–1. The effect of artificial and natural dehydration of the peel on its vibrational spectrum is studied. It is shown that the colored outer layer of lemon peel does not have a noticeable effect on the vibrational spectrum. Upon 28-day storage of a lemon under natural laboratory conditions, only sequential dehydration processes are reflected in the vibrational spectrum of the peel. Within the framework of the theoretical DFT/B3LYP/6-31G(d) method, a model of a plant cell wall is developed consisting of a number of polymeric molecules of dietary fibers like cellulose, hemicellulose, pectin, lignin, some polyphenolic compounds (hesperetin glycoside-flavonoid), and a free water cluster. Using a supermolecular approach, the spectral properties of the wall of a lemon peel cell was simulated, and a detailed theoretical interpretation of the recorded vibrational spectrum is given.

     

强耦合的动力学Jahn-Teller效应理论

本文讨论了强耦合情况的、即电子的静态畸变能量大于晶格或分子振动量子能量的情况的动力学Jahn-Teller效应。我们发展了一种适用于强耦合情况的微扰方法,在其中将本征值及本征函数依照电子振动耦合系数的倒数或振动量子能量与静态畸变能量之比展开成幂级数,具体讨论了O_h点群中的Г₈态,求得了电子振动能级。区别于弱耦合情况的特点主要在于:1)虽然并不发生静态畸变,但是振动模的简并性及频谱却都发生了变化;2)如果与电子相耦合的振动模是“调谐”的,则电子及晶格振动的集体运动模将出现,这个理论能被用来解释Weinstock等人所做的关于TcF₆及ReF₆的红外光谱以及Raman光谱的实验结果。     

Collisional broadening and shifting of OCS rotational spectrum lines

Broadening and shifting of carbonyl sulfide (OCS) rotational spectrum lines by pressure of N₂, O₂ and OCS were accurately studied in the frequency range 24–850 GHz at room temperature using a spectrometer with radio-acoustic detection of absorption. Rotational dependences of collisional widths of OCS spectrum lines were determined by a simple empirical polynomial fit of experimental data. Experimental uncertainties were analyzed. Results of supplementary test measurements of self-broadening of rotational OCS lines in the ν₂ excited vibrational state and carbon monoxide (CO) lines in the ground vibrational state are presented. Comparison of the obtained results with previously known measurements and theoretical calculations is given. The performed work allows for the first time development of accurate gaseous etalon of absorption for atmospheric applications and laboratory use, covering continuously the whole millimeter- and submillimeter-wave range.     

On the absorption saturation in the vibrational-rotational bands of molecules

Analytical expressions describing saturation of the stationary absorption coefficient in a vibrational-rotational band in the spectrum of a molecular gas are obtained taking into account that many other bands are involved in the absorption process as well. The formulas are derived for an arbitrary spectral composition of the pumping radiation with an allowance for a difference between the rotational and vibrational relaxation rates and between the relaxation rates of the lower and upper vibrational levels. The influence of saturation on the appearance of the partial inversion and the negative absorption effects is considered. The general formulas are simplified and the vibrational and rotational contributions to the saturation are separated within the frame-work of the local Elsasser model for the rotational band structure. Explicit relationships between the dimensionless parameters describing the vibrational and rotational saturation mechanisms are obtained and analyzed, and conditions under which one of these mechanisms is dominating are determined. Particular calculations were performed for the (000)–(010) and (000)–(001) absorption bands of the O₃ molecule and features of the saturation effect in these bands were established.     

On the perturbation-variational calculation of the nuclear spin-spin coupling in HD

The I.R. and Raman bandwidths of the v(≡C-H) and v(C≡C) stretching modes of 1-hexyne and 1-decyne have been measured in dilute solutions in n C₇H₁₆ and CCl₄ as a function of temperature. The I.R. spectrum is used, by comparison with the Raman spectrum, to verify the generally assumed absence of correlation between the rotational and vibrational relaxations. The important experimental findings is the opposite effect of temperature on the isotropic Raman linewidths of the two modes. The v(≡C-H) mode broadens with decreasing temperature and this is interpreted in a qualitative way by the isolated binary collision model of Fisher and Laubereau and the hydrodynamic model of Oxtoby. On the contrary, these models are unable to interpret the linewidth of the v(C≡C) mode. A possible explanation lies in an intramolecular energy relaxation between Fermi resonance levels. Finally, application of the Kubo stochastic line shape theory to the vibrational correlation function of the v(≡C-H) mode shows that the modulation is fast in n C₇H₁₆ specially at high temperature and intermediate between fast and slow limits in CCl₄.     

Experimental and theoretical study of the ν(HF) absorption band structure in the H2O…HF complex

The νHF absorption band shape of the H₂O…HF complex is studied in the gas phase at a temperature of 293 K. The spectra of H₂O/HF gaseous mixtures in the range 4000–3400 cm^?1 are recorded at a resolution of 0.2–0.02 cm^?1 with Bruker IFS-113v and Bruker IFS-120 HR vacuum Fourier spectrometers in a 20-cm cell. The spectra of the H₂O…HF complex in the region of the ν₁(HF) absorption band are obtained by subtracting the calculated spectra of free H₂O and HF molecules from the experimental spectrum. The ν₁ band of the H₂O…HF complex has an asymmetric shape with a low-frequency head, an extended high-frequency wing, and a characteristic vibrational structure. Two approaches are used to calculate the ν1 band shape as a superposition of rovibrational bands of the fundamental and hot transitions involving the low-frequency modes of the complex. The first approach is based on a simplified semiempirical procedure. The second approach relies on a nonempirical anharmonic calculation of the vibrational energy levels, the frequencies and intensities of the corresponding transitions, and the rotational constants. These parameters are obtained by calculating ab initio the potential energy and dipole moment surfaces in the second-order Möller-Plesset approximation and using the variational method to solve one-, two-, and three-dimensional anharmonic vibrational problems. The absorption spectrum of the complex in the range 3600–3720 cm^?1, reconstructed using the nonempirical electro-optical parameters, reproduces rather well the main features of the experimental spectrum, including the relative intensities of peaks of the vibrational structure. However, the interpretation of most of the structural features of the spectrum differs from that adopted in the semiempirical scheme. First of all, it follows from the results of nonempirical calculation that the central, most intense, maximum of the experimental spectrum should correspond to the v ₁=1←0 transition from the ground vibrational state. This fact gives rise to a new value of the vibrational transition frequency ν ₁ ⁰ in the H₂O…HF complex equal to 3635 cm^?1, which is higher than the commonly accepted value of 3608 cm^?1.     

Raman scattering in ZrB<Subscript>12</Subscript> cage glass

High-precision measurements of the Hall effect and Raman scattering have been performed for single crystals of ZrB₁₂ superconductor in the wide temperature range of 5–300 K. For ZrB₁₂, the boson peak with ω_max ~ 100 cm^–1 has been observed for the first time within the low-frequency range of the Raman spectrum I(ω). The sizes of vibrational clusters with the correlation length ranging from 25 to 35 Å are estimated. The relation between the renormalization of the low-frequency density of vibrational states accompanying the transition to the cage-glass phase (T* ~ 90 K) and the enhancement of superconductivity in ZrB₁₂ is discussed.     

Angular distribution of the photoelectron spectrum of CO2, COS,CS2, N2O,H2O,and H2S

The photoelectron spectra of the triatomic molecules CO₂, COS, CS₂, N₂O, H₂O, and H₂S have been measured as a function of the angle θ between the direction of the incoming photon and outgoing photoelectron. The photoelectron spectra have been measured with a double-focusing electrostatic electron spectrometer to which has been attached a chamber containing a gas discharge lamp that can be freely rotated. (The photon source used was the 21.22 eV He I resonance line). From the dependence of intensity as a function of θ the angular parameter β was determined for each ionization band observed in the photoelectron spectra. A correlation was noted between the values of β and the molecular orbitals relative to the contributions of oxygen and sulfur atomic orbitals. Individual β values were also obtained for most of the vibrational bands seen in the photoelectron spectra. In most cases the vibrational structure showed little or no change in the angular parameter for a given electronic state. In certain cases, however, such as the fourth ionization band in CS₂, CO₂, and COS, rather sizeable changes in β were observed for the different vibrational bands.     

The torsional-wagging tunneling problem and the torsional-wagging-rotational problem in methylamine

A theoretical formalism is presented for fitting rotational energy levels in isolated (unperturbed) vibrational states of methylamine. This formalism is obtained by recasting and extending theoretical studies in the earlier literature, which were undertaken to help analyze the methylamine microwave spectrum. The present formalism is applicable when both the NH₂ umbrella (wagging) motion and the CH₃ internal rotation (torsion) motion take place near the high-barrier limit and leads to the usual Fourier sine and cosine series expansions for molecular energy levels. The derivation is separated into two parts, one treating the large-amplitude vibrational problem (the torsional-wagging problem) by itself, the other treating the torsional-wagging-rotational problem. In both treatments, permutation-inversion group and extended group ideas are used to determine the allowed terms in an effective rotational-tunneling Hamiltonian operator and to block diagonalize the matrix representation of this operator for a near-prolate symmetric top. The resulting energy levels and selection rules are discussed, but application of the method in detail to the methylamine spectrum is planned for a later paper.     

Photoelectron spectroscopic studies of some nitrosyl and nitryl halides and nitric acid

The He(I) photoelectron spectra of the compounds FNO, ClNO, BrNO, FNO₂ and ClNO₂ have been recorded on an instrument specifically designed to study reactive and short-lived species. The spectrum of HNO₃ (isoelectronic with the nitryl halides) is included for comparison. The spectra of the nitrosyl halides are interpreted by reference to SCF-MO calculations, by correlation with the known levels of NO, and by consideration of the electronic effect of the halide (X) substituent. The resulting assignments are in accord with weak bonding between the X and NO moieties. The assignments for the nitryl halides and nitric acid are assisted by correlation with the known levels of NO₂, by consideration of the electronic effects of the X substituent, by an analysis of vibrational structure, and by CNDO type MO calculations. On the basis of our assignments for these latter molecules we propose a reassignment of the photoelectron spectrum of CH₃NO₂.     

Variationally exact ro-vibrational levels of the floppy CH2+ molecule

Ro-vibrational calculations are performed on the CH₂⁺ radical using a method recently developed for atom-diatom systems. The vibrational fundamentals obtained are 2998.8, 718.3, and 3270.7 cm^?1, in good agreement with recent results. Band origins for several higher vibrational levels are also obtained. Calculations with J = 1 show that the Coriolis interaction play a significant role and two alternative embeddings are discussed. Use of correlation parameters confirms that CH₂⁺ belongs to no idealized class of molecules in keeping with its “floppy” nature.     

The IR absorption spectrum of 2 - aminothiazolid - 4 - one

A mechanical model has been used to calculate the frequencies in the vibrational spectrum of the imine and amine tautomeric structures for this compound; the IR spectrum for the crystalline state has been deduced for the range 80–3500 cm^–1, and a discussion is given for the effect of the tautomeric prototropic forms on the vibrational spectrum.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 9, pp. 76–82, September, 1971.