8 research outputs found

    THE USE OF FOURIER TRANSFORM IN INTERPRETING VIBRATIONAL. SPECTRA.

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    1.^{1.} C. Jaff\'{e}, and P. Brumer, J. Chem. Phys., 73, 5646 (1980); E. L. Sibert III, W.P. Reinhardt, and J. T. Hynes, S. Che., Ptys., 77, 3583 (1982) 2.^{2.} G. Longhi, S. Abbate, C. Zagano, G. Botto, and L. Ricard-Lespade. Theor. Chim. Acta, 82, 321 (1992) 3.^{3.} D.W. Noid, M.L., Koszykowaky, and R.A. Marcus, J. Chem. Phys., 67, 404 (1977)Author Institution: Dipartimento di Chimica, Universit\""{a} della Basilicata.; Dipartimento di Matematica, Universit\'{a} dl Milano; Laboratoire de Spectroscopie Moleculaire, Universit\'{e} de Bordeaux IThe investigation of molecular vibrations through non-linear classical mechanics has achieved considerable success in accounting for the transition from the normal mode to the local mode regime(1). We have recently proved the existence of some peculiar type of modes, which differ from both local and normal modes, in a system of two coupled Morse oscillators ABAA-B-A^{\prime} (2). In this work we analyze the Fourier transform of some vibrational autocorrelation functions derived from numerical integration of the classical equations of motion(3). We applied these theoretical calculations to gain insight into the quasiperiodic vibrational motions of CH2CH_{2}-type oscillators. Eventually we intend to use these results to further understand observed overtone absorption spectra of molecules containing methylenic groups

    Analysis of the transition from Normal Modes to Local Modes in a system of two harmonically coupled Morse oscillators

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    The system consisting of two Morse oscillators coupled via either a potential or a kinetic quadratic term is considered. The corresponding classical equations of motion have been numerically integrated and the initial conditions have been systematically analyzed in the regime of low total excitation energy of the system. Particular attention was paid to the full characterization of an intermediate type of motion, herein called transition mode, which appears at total energy values in between those typical of normal modes and those where local and normal modes coexist. A previously proposed perturbative approach (Jaffé C, Brumer P (1980) J Chem Phys 73:5646) is reanalyzed and compared with the results of numerical experiments, with the purpose of lending further support to the existence of transition modes

    HIGH VIBRATIONAL STATE ENERGY REDISTRIBUTION IN PARTIALLY DEUTERATED CYCLOPENTENES

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    a^{a} S. Rodin-Bercion, D. Cavagnat, L. Lespade and P. Maraval, J. Phys. Chem., 99, 3005 (1995) b^{b} L. Lespade, S. Rodin-Bercion and D. Cavagnat, J. Phys. Chem., 101, 2568 (1997)Author Institution: LPCM, Universit\'{e} Bordeaux IExperimental investigations of high vibrational states in medium-size molecules show clear evidence of large intramolecular redistribution of the vibrational energy (IVR). In particular, the CH bond stretching vibration energy rapidly relaxes in combination states involving deformations of the angles adjacent to the initially excited CH bondabbond^{ab}. In this contribution, the overtone spectra (Δv=1\Delta v=1 to 6) of cyclopentene 3,3,4,4d43,3,4,4-d_{4} and cyclopentene 1,2,3,3,4,4,5d71,2,3,3,4,4,5-d_{7} are analyzed with a model formulated in curvilinear internal coordinates including also the coupling between the ring-puckering motion and the vibrations. In the dihydrogenated compound, the analysis of the spectra indicates a progressive localization of the CH stretching vibrations with increasing energy. At high energy (from Δv=4\Delta v=4 to 6), the spectra of the two compounds evidence different IVR for CHD or CH2CH_{2} groups

    HIGH VIBRATIONAL STATES OF 1,2,3,4,4,5,5-d7 and 3,3,4,4-d4 CYCLOPENTENES.

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    1^{1} D CAVAGNAT. S BANISAED-VAHEDIE. L LESPADE, S RODIN. J.Chem.Soc.Faraday Trans. 88(13), 1845 (1992).Author Institution: Laboratoire de Spectroscopie Moleculaire et Cristalline, URA 124. 351 ers de la Lib\'{e}ration; Laboratoire de Spectroscopie Moleculaire et Cristalline, Universit\`{a} della Basilicata.The ring-puckering motion of cyclopentene is studied through the CH bond stretching overtones (Δv=1(\Delta v=1 to 6) of the monohydrogenated and dihydrogenated molecules1molecules^{1}. At high energies, the potential of the large amplitude motion may be divided into two parts: one part, which corresponds to the potential of the motion in its ground state and another part, due to the vibrational dissymetry of the CH bond stretchings. Because of this vibrational part. the potential wells, corresponding to the two axial and equatorial positions of the CH bonds, become deeper and deeper with increasing molecular energy. Thus, there is a relative ``localization'' of the high vibrational energy in the two potential wells, which is counterbalanced by its rapid redistribution in combination states through Fermi resonance couplings. The two phenomena are qualitatively modelled

    CLASSICAL DYNAMICS OF LOCAL CH-STRETCHINGS OF AN ALMOST FREELY ROTATING METHYL GROUP

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    (1)D. Cavagnat and L. Lespade, J. Chem. Phys., 106, 7946 (1997) (2)C. Zhu, H.G. Kjacrgaard, and B.R. Henry, J. Chem. Phys., 107, 691 (1997)Author Institution: Dipartimento di Scienze Biomediche e Biotecnologi, Universit\`{a} di BresciaCavagnat and Lespade have extensively examined the CH-stretching fundamental and overtone spectra of molecules containing an almost freely rotating CHD2CHD_{2}-group: Nitromethane. Toluene, etc. They were able to interprete the spectroscopic features by a model based on the assumption of moderate variations of the rotational potential with the stretching quantum number. Their approach was also tried on the same or similar molecules containing undeuterated methyl groups.(1,2)groups.^{(1,2)} We have examined a classical model for almost freely rotating CH3CH_{3} and CHD2CHD_{2}-groups, allowing for just kinetic coupling between the CH-stretching and the methyl hindered rotation, with three different values for the rotation barrier applicable to the cases presented in refs. (1) and (2). While for CHD2CHD_{2} just two types of classical regular trajectories are found at all overtone orders, namely those exhibiting either a torsion or a rotation in the methyl, for CH3CH_{3} a third type of trajectories appears at high overtone order, showing a 1:6 (or 1:12) resonance between the CH-stretching and the hindered rotation frequencies and a secondary 1:1 (or 1:2) resonance which is particularly evident in the momenta. The consequences of this fact in the semiclassical quantization scheme for the construction of the spectra will be discussed

    MOLECULAR BEAM INFRARED SPECTRUM OF THE FIRST C-H STRETCHING OVERTONE REGION OF NITROMETHANE

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    a^{a}Permanent address of M. and L. Halonen: Laboratory of Physical Chemistry, P.O. Box 55 (A.I. Virtasen aukio 1). FIN-00014 University of Helsinki, Finland b^{b}D.Cavagnat, L. Lespade, and C. Lapouge, Ber. Bunsenges Phys. Chem. 99, 544 (1995)Author Institution: Department of Chemistry, Princeton UniversityThe first C-H stretching overtone region of nitromethane has been measured using a bolometer detected molecular beam machine with a resonance cavity. Nitromethane is an almost free rotor with a very low torsional barrier in the ground state. The purpose of this study is to find out whether the low 6-fold barrier of the ground state will turn to a much higher 2-fold barrier in the first stretching vibrational overtone of nitromethane with 2 quanta of stretching vibrational energy.benergy. ^{b} This might happen, if the vibrational energy would stay localised in one bond long enough compared with the period of internal rotation. The spectrum of nitromethane has been measured in the wavenumber region 60476055cm16047-6055 cm^{-1} with a resolution of 5MHz. As the rotational temperature is very low, only levels with the internal rotation quantum number m=0 and m=1 should be significantly populated. The spectrum has been assigned using ground state combination differences. Using a rigid rotor program the band center and the rotational constants have been obtained for the m=0 state. The analysis of the m=1 state is in progress

    ANALYSIS OF THE TRANSITION FROM NORMAL MODES TO LOCAL MODES

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    Author Institution: Dipartimento di Chimica Fisica, Universit{\'a} di Palermo; Dipartimento di Fisica, Universit\'{a} di Milano; Laboratoire de Spectroscopic Moleculaire et Cristalline, Universtit{\'e} de Bordeaux 1By numerical integration of the classical equations of motion for a system of two coupled anharmonic oscillators, one can define the vibrational motions as follows: normal modes, for which energy is exchanged between the two oscillators and their phase difference is almost constant; local modes, for which the energy of one oscillator is always greater than the other’s and their phases are independent (1). We found a third type of modes, that we called transition modes, which show phase relation between the two oscillators and yet no energy exchange. They appear at total energy values intermediate between those typical for normal modes and for local modes. We tested our finding by two perturbative approaches, based on local modes and normal modes respectively. In this note we will point out the parameters favoring a wide extent of transition modes, in order to look for a spectroscopic signature of such modes. 1^{1}E. L. Sibert III, W. P. Reinhardt, J. T. Hynes, J. Chem. Phys., 77, 3583(1982
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