A nuclear quadrupole resonance study of the chlorate ion

The quadrupole frequencies of the chlorine nuclei in two isomorphous chlorates, RbClO₃ and CsClO₃, were used for the estimation of the corresponding electric field gradients at the chlorine nucleus site in the free chlorate ion. The application of the Townes and Dailey theory led to the calculation of the effective charges on the chlorine and oxygen atoms and the double-bond character of the Cl-O bonds. The results obtained are consistent with all the available theoretical and experimental evidence.     

Multiphoton excitation of an ammonia molecule in laser fields

The multiphoton excitation of NH3 in laser fields is discussed using the second quantization and unitary transformations.The stretch-vibration energy spectrum obtained from an optimized Hamiltonian is in good agreement with that of experiments.The changes in transition probabilities with the frequencies of laser fields and the lime-dependent transition probabilities at a field intensity of 1.1×10-8 W/cm2 are presented.Finally,the energy absorption is calculated.     

The harmonic force field and absolute infrared intensities of butyne-2

The frequencies, harmonic force field and absolute IR intensities for butyne-2-d₀ and butyne-2-d₆ are reported. The final set of “harmonized” fundamental frequencies for butyne-2-d₀ and butyne-2-d₆ obeys the Teller—Redlich product rule very well. Starting values for the force constants were obtained from the harmonic force field of propyne, and diagonal force constants were adjusted in order to reproduce the experimental “harmonized” frequencies for the d₀ and d₆ compounds.The integrated IR intensities were measured according to the Wilson—Wells—Penner—Weber method, using nitrogen as a broadening gas. Thirteen sets of ?μ/?S values were obtained from the experimental intensities, using an iterative least-squares fitting procedure. This number could be reduced to one by use of several selection criteria. The signs of the remaining set appeared to be in complete agreement with the best set for propyne as reported both by Kondo and Koga and by Bode et al. The final ?μ/?S parameters were transformed into atomic polar tensors. Both kinds of intensity parameters are discussed and compared with corresponding parameters for related molecules.     

Crystal structure, Fermi surface calculations and Shubnikov-de Haas oscillation spectrum of the organic metal θ-(BETS)4HgBr4(C6H5Cl) at low temperature

The organic metal θ-(BETS)₄HgBr₄(C₆H₅Cl) is known to undergo a phase transition as the temperature is lowered down to about 240 K. X-ray data obtained at 200 K indicate a corresponding modification of the crystal structure, the symmetry of which is lowered from quadratic to monoclinic. In addition, two different types of cation layers are observed in the unit cell. The Fermi surface (FS), which can be regarded as a network of compensated electron and hole orbits according to band structure calculations at room temperature, turns to a set of two alternating linear chains of orbits at low temperature. The field and temperature dependence of the Shubnikov-de Haas oscillation spectrum have been studied up to 54 T. Eight frequencies are observed which, in any case, point to an FS much more complex than predicted by band structure calculations at room temperature, even though some of the observed Fourier components might be ascribed to magnetic breakdown or frequency mixing. The obtained spectrum could result from either an interaction between the FSs linked to each of the two cation layers or to an eventual additional phase transition in the temperature range below 200 K.     

A theoretical study of the rotational isomers of nitrosomethanol by semiempirical (AM1) and ab initio methods

The conformational potential energy surface as a function of the two internal torsion angles in C-nitrosomethanol has been obtained using the semiempirical AM1 method. Optimized geometries are reported for the local minima on this surface and also for the corresponding points on the HF/6-31G, 6-31G*, and 6-31G** surfaces. All methods predict cis and trans minima which occur in degenerate pairs, each pair being connected by a transition state of C_s symmetry. The AM1 structures are found to compare well with the corresponding ab initio structures. Ab initio HF/6-31G and HF/6-31G* harmonic vibrational frequencies are reported for the cis and trans forms of nitrosomethanol. When scaled appropriately the calculated frequencies are found to compare well with experimental frequencies. The ab initio calculations predict the energy barrier for cis → trans isomerization to be between 5.8 and 6.5 kcal/mol with the trans → cis isomerization barrier lying between 2.3 and 6.5 kcal/mol. The corresponding AM1 energy barriers are around 1 kcal/mol lower in energy. The ab initio calculations predict the barrier to conversion between the two cis rotamers to be very small with the AM1 value being around 1 kcal/mol. Both AM1 and ab initio calculations predict interconversion between trans rotamers to require between 1.2 and 1.4 kcal/mol.     

Electric field variant ket for the calculation of dynamic polarizabilities. Application to H2O and N2

The use of a new time-dependent ket, variationally determined as a linear combination of Slater determinants associated with an electric field variant factor, provides an efficient technique for the calculation of dynamic polarizability tensors. Including electron correlation, the method is applied to the evaluation of the frequency-dependent polarizability of H₂O and N₂ and can be used even when the photon energy is near the excitation energy. With relatively small basis sets, calculated polarizabilities and resonance frequencies are in good agreement with experimental values for H₂O but have to be improved for N₂.     

Schwingungsverhalten des syn- und anti-acetaldoxims: 2. Mitt. normalkoordinatenbehandlung

Normal coordinate calculations on CH₃CHNOH, CH₃CHNOD, CH₃CDNOD and CD₃CDNOD have been carried out applying the general harmonic valence force field. The calculated frequencies of the normal vibrations considered agree satisfactorily with the corresponding values obtained from the spectra. The potential energy distributions have also been calculated; they were used to interpret the behaviour of characteristic vibrations.     

Determination of Ion Frequencies in a Quadrupole Ion Trap By Using a Fast Direct Current Pulse as Pump and a Laser Probe

A new technique has been developed which allows the direct measurement of frequencies of ions trapped in a quadrupole ion trap mass spectrometer. This pump/probe method employs a fast direct current (DC) pulse (pump) to displace a kinetically cooled ion population from the center of the trap, and a laser (probe) which recognizes when ions reappear at the center of the trap by the formation of photodissociation fragments. The translationally excited ions undergo periodic motion within the confines of the ion trap, and this periodic motion can be followed by recording the intensity of the photodissociation fragment as a function of the delay time between the DC pump and the laser probe. The DC pulse has a rise time of 15 ns; data are taken 1 ms after its application to allow stable ion motion to be sampled. Sampling of the ion cloud is done at 50 ns intervals, and fast Fourier transformation of the time-based data yields the ion frequencies and their relative magnitudes. Data are reported for ions derived from acetophenone (m/z 105) and 1,4-cyclohexadiene (m/z 80) under various trapping conditions corresponding to different Mathieu q_z values. The measured fundamental secular frequencies, f_z and f_r, are found to agree well with those predicted. The presence of higher order multipole contributions to the trapping field is evident from such ion frequencies as the drive frequency, f_RF,. The ability to measure ion frequencies under operating conditions provides a new tool for comparing simulated and experimental data. Simulation data from the program ITSIM, modified to account for the effects of collisions, are shown to predict the major frequency components observed in the experimental data.     

Frequency dependent nonlinear optical properties of molecules: Formulation and implementation in the HONDO program

This article summarizes the detailed equations for the time-dependent Hartree–Fock treatment of nonlinear properties for perturbations made up of a static electric field and an oscillating field. Explicit expressions for all nonlinear processes up to third order are obtained in terms of the density matrices at the same order. For processes at second and third order in perturbation, expressions in terms of lower order quantities are also obtained by applying the (2n + 1) theorem of perturbation theory. The corresponding computer implementation in the HONDO program is described.     

An analysis of the vibrational structure of the UV absorption spectrum of acryloyl chloride vapor

The vibrational structure of the UV absorption spectrum of acryloyl chloride vapor was analyzed to obtain detailed information about the torsional vibration levels of the trans and cis isomers in the ground (S ₀) and excited (S ₁) electronic states. The spectrum contained 114 absorption bands of which ～90% were assigned. The 0-0 transition frequencies of the trans and cis acryloyl chloride isomers were determined. Several Deslandres tables for torsional vibrations from the 0–0 transition frequencies and local origins corresponding to the fundamental frequencies of two isomeric molecule forms in both electronic states were constructed. The corresponding systems of torsional vibration levels were determined, and the harmonic frequencies θ_ε and anharmonicity coefficients x ₁₁ of the trans and cis isomers were calculated. The torsional vibration levels in the ground electronic state obtained from the vibrational structure of the UV spectrum are compared with those determined using the Fourier spectrum. The 0–3 torsional transition of the trans isomer was found to be displaced because of Fermi resonance with a fundamental frequency.     

Determination of the permittivity of nematic liquid crystals in the microwave region

Two 3 mm thick microscope glass plates, having one face plus their two long edges coated by a thick metallic film, are spaced 75 μm apart by mylar spacers. Because of the metallic coatings on the inner faces the structure acts as a single metallic slit. The space between the two coated plates is filled with aligned nematic liquid crystal (E7, Merck/BDH) and the cell is inserted in an absorber aperture. This single metallic slit geometry supports resonant modes when microwaves are incident with their polarization (E-field) perpendicular to the slit. The structure gives a set of Fabry-Perot-like resonant transmission frequencies. These frequencies move when a voltage is applied between the two plates, the liquid crystal being first aligned homogeneously, then realigning homeotropically with the applied field. By minotoring these changes a fast and easy to use procedure for determining the permittivity and its anisotropy for nematic liquid crystals in the microwave region has been developed. The parameters determined for E7 are ε_e = 3.17 (n_e = 1.78 ± 0.01) and ε_o = 2.72 (n_o = 1.65 ± 0.01), (Δn ≈ 0.13) in the 40.0–60.0 GHz region.     

Solvent effect of aqueous media on properties of glycine: Significance of specific and bulk solvent effects,and geometry optimization in aqueous media

Geometries of the normal (N) and zwitterionic (Z) forms of glycine (gly) and their complexes gly.(H₂O)_n, n = 0–2, were fully optimized in gas phase and aqueous media, and transition states located between the corresponding N and Z forms. The geometry was also optimized and vibrational spectra calculated for the gly.(H₂O)₃ complex of Z glycine. Density functional theory at the B3LYP/AUG‐cc‐pVDZ level was employed for the geometry optimization calculations in gas phase and aqueous media while single point energy calculations were performed at the MP2/AUG‐cc‐pVDZ level in each case. Solvation in bulk water was treated using the polarizable continuum model (PCM). Zero‐point energy correction to total energy and thermal energy correction to enthalpy were obtained at the B3LYP/AUG‐cc‐pVDZ level of theory in both gas phase and bulk aqueous media and these corrections were also considered to be valid for the corresponding single point energy calculations performed at the MP2/AUG‐cc‐pVDZ level of theory. When geometries of the complexes of glycine with water molecules are optimized in aqueous media, the calculated properties are found to be appreciably modified with respect to those obtained by gas phase geometry optimization followed by solvation in aqueous media. For several vibrational frequencies, the agreement between the calculated and experimentally observed results is improved appreciably when both the specific and bulk solvent effects are considered in combination with full geometry optimization in aqueous media. For certain vibrational frequencies, mode assignments have also been modified. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2008     

Vibrational investigation on FT-IR and FT-Raman spectra, IR intensity, Raman activity, peak resemblance, ideal estimation, standard deviation of computed frequencies analyses and electronic structure on 3-methyl-1,2-butadiene using HF and DFT (LSDA/B3LYP/B3PW91) calculations

FT-IR and FT-Raman (4000–100 cm⁻¹) spectral measurements of 3-methyl-1,2-butadiene (3M12B) have been attempted in the present work. Ab-initio HF and DFT (LSDA/B3LYP/B3PW91) calculations have been performed giving energies, optimized structures, harmonic vibrational frequencies, IR intensities and Raman activities. Complete vibrational assignments on the observed spectra are made with vibrational frequencies obtained by HF and DFT (LSDA/B3LYP/B3PW91) at 6-31G(d,p) and 6-311G(d,p) basis sets. The results of the calculations have been used to simulate IR and Raman spectra for the molecule that showed good agreement with the observed spectra. The potential energy distribution (PED) corresponding to each of the observed frequencies are calculated which confirms the reliability and precision of the assignment and analysis of the vibrational fundamentals modes. The oscillation of vibrational frequencies of butadiene due to the couple of methyl group is also discussed. A study on the electronic properties such as HOMO and LUMO energies, were performed by time-dependent DFT (TD-DFT) approach. The calculated HOMO and LUMO energies show that charge transfer occurs within the molecule. The thermodynamic properties of the title compound at different temperatures reveal the correlations between standard heat capacities (C) standard entropies (S), and standard enthalpy changes (H).     

Infrared spectra of pentafluoropropionate esters

Infrared spectra obtained for seven alkyl esters of pentafluoropropionic acid show that six of the nine stretching vibrations of the CF₃CF₂COO group and the three CF₃ deformation vibrations have characteristic frequencies, with average deviations of 5 cm^-1 or less. These frequencies are compared with the corresponding values in the acid and the trifluoroacetate esters.     

Experimental and Theoretical Vibrational Study of the Oxotetrachlorochromate(V) Anion in [AsPh4][CrOCl4]

Infrared and Raman spectra were obtained for tetraphenylarsonium oxotetrachlorochromate(V), [AsPh₄][CrOCl₄]. Equilibrium geometry and vibrational frequencies for the anion, CrOCl₄^?, were studied employing Density Functional Theory (DFT) methods. A comparative theoretical study was performed in order to determine the best level of theory and basis set to reproduce the experimental structure parameters and vibrational frequencies. Such frequencies served as a basis for the calculation of the scaled quantum mechanical (SQM) force field for the anion. The obtained results were compared with those obtained previously for the VOCl₄^? anion.     

Atomic hydrogen in circularly polarized,high-intensity and high frequency laser fields

We present the application of a recently developed nonperturbative theory for electronatom interactions in intense, high-frequency laser fields to the calculation of the structure of atomic hydrogen in a monochromatic, circularly polarized plane wave. This theory predicts that the atom is stable in the high-frequency limit and that the levels are given by a time-independent Schrödinger equation containing a “dressed” Coulomb potential. The laser frequency and intensity enter only combined in a parameter α₀. The energy eigenvalue equation was solved in the angular momentum representation by adopting the “decoupledl-channels approximation”. The weak field limit (α₀ → 0) of the levels could be solved analytically using perturbation theory. Our numerical calculation gives the eigenvalues corresponding to principal quantum numbern≦4, over an extended range of α₀:0≦α₀≦100. The results are compared with those for the case of linear polarization obtained earlier by a similar approximation. The rapid decrease of the ionization potential at fixed (high) frequency and increasing intensity shows a remarkable resemblance in the two cases. This decrease is shown to be connected with a steady increase with α₀ of the average of the radial coordinater, such that the atom in its ground state may attain Rydberg sizes at values of α₀ presently achieved in experiment. Further, the existence of a new symmetry in the strong field limit (α₀→∞) is signalled, leading to a peculiar multiplet structure. Finally, predictions are made concerning the energy spectrum of the electrons ionized at high (but finite) frequencies. In contrast to current experiments, no suppression of peaks can occur in our case, and large shifts of the peaks towards higher energies in comparison to the weak field case are expected.     

Force field for in-plane vibrations of tetracyanoquinodimethane (TCNQ)

The force field for the in-plane vibrations of TCNQ and TCNQ-d₄, has been calculated by the iterative self consistent method of Koptev et al. (Opt. Spektrosk., 25 (1968) 350). With the new set of force constants an improved matching was obtained between the observed and calculated vibration frequencies in TCNQ and TCNQ-d₄.     

Vibrational Spectra and Quantum Calculations of Ethylbenzene

Normal vibrations of ethylbenzene in the first excited state have been studied using resonant two-photon ionization spectroscopy. The band origin of ethylbenzene of S₁←S₀ transition appeared at 37586 cm^-1. A vibrational spectrum of 2000 cm^-1 above the band origin in the first excited state has been obtained. Several chain torsions and normal vibrations are obtained in the spectrum. The energies of the first excited state are calculated by the time-dependent density function theory and configuration interaction singles (CIS) methods with various basis sets. The optimized structures and vibrational frequencies of the S₀ and S₁ states are calculated using Hartree-Fock and CIS methods with 6-311++G(2d,2p) basis set. The calculated geometric structures in the S₀ and S₁ states are gauche conformations that the symmetric plane of ethyl group is perpendicular to the ring plane. All the observed spectral bands have been successfully assigned with the help of our calculations.