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Journal articles on the topic 'Vibrational distribution'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

AKPEK, Ali, Chongho YOUN, and Toshiharu KAGAWA. "A Study on Vibrational Viscometers Considering Temperature Distribution Effect." TRANSACTIONS OF THE JAPAN FLUID POWER SYSTEM SOCIETY 45, no. 3 (2014): 29–36. http://dx.doi.org/10.5739/jfps.45.29.

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2

Victor, Tyrode, Nicolas Totaro, Laurent Maxit, and Alain Le Bot. "Vibrational energy distribution in plate excited with random white noise." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 6 (August 1, 2021): 965–69. http://dx.doi.org/10.3397/in-2021-1712.

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In Statistical Energy Analysis (SEA) and more generally in all statistical theories of sound and vibration, the establishment of diffuse field in subsystems is one of the most important assumption. Diffuse field is a special state of vibration for which the vibrational energy is homogeneously and isotropically distributed. For subsystems excited with a random white noise, the vibration tends to become diffuse when the number of modes is large and the damping sufficiently light. However even under these conditions, the so-called coherent backscattering enhancement (CBE) observed for certain symmetric subsystems may impede diffusivity. In this study, CBE is observed numerically and experimentally for various geometries of subsystem. Also, it is shown that asymmetric boundary conditions leads to reduce or even vanish the CBE. Theoretical and numerical simulations with the ray tracing method are provided to support the discussion.

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3

Yoshimura, Yasunori, Toshio Kasai, Hiroshi Ohoyama, and Keiji Kuwata. "Nascent HF† and HSO(2A′) formations in the elementary reactions of F + H2S and HS + O3 and the internal energy distributions." Canadian Journal of Chemistry 73, no. 2 (February 1, 1995): 204–11. http://dx.doi.org/10.1139/v95-029.

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Chemiluminescence of the vibrationally excited HF† and of the electronically excited HSO* in the 2A′ state were observed in the elementary reactions of F + H2S and HS + O3. In the F + H2S reaction, the vibrational populations of HF† in ν = 3 and 4 were found to be nonstatistical but the rotational distribution in the ν = 4 state was found to be Boltzmann-like with a rotational temperature of 700 K, confirming similar data obtained by different methods. The HSO* emission was observed in the HS + O3 elementary reaction. The spectrum of HSO* characterized by broad vibrational bands indicates nonstatistical excitation for the rotational and vibrational states. Keywords: chemiluminescence, internal energy distribution, F + H2S, HS + O3, HF†, HSO*.

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4

Pavlov, A. V. "Subauroral red arcs as a conjugate phenomenon: comparison of OV1-10 satellite data with numerical calculations." Annales Geophysicae 15, no. 8 (August 31, 1997): 984–98. http://dx.doi.org/10.1007/s00585-997-0984-3.

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Abstract. This study compares the OV1-10 satellite measurements of the integral airglow intensities at 630 nm in the SAR arc regions observed in the northern and southern hemisphere as a conjugate phenomenon, with the model results obtained using the time-dependent one-dimensional mathematical model of the Earth ionosphere and plasmasphere (the IZMIRAN model) during the geomagnetic storm of the period 15–17 February 1967. The major enhancements to the IZMIRAN model developed in this study are the inclusion of He+ ions (three major ions: O+, H+, and He+, and three ion temperatures), the updated photochemistry and energy balance equations for ions and electrons, the diffusion of NO+ and O2+ ions and O(1D) and the revised electron cooling rates arising from their collisions with unexcited N2, O2 molecules and N2 molecules at the first vibrational level. The updated model includes the option to use the models of the Boltzmann or non-Boltzmann distributions of vibrationally excited molecular nitrogen. Deviations from the Boltzmann distribution for the first five vibrational levels of N2 were calculated. The calculated distribution is highly non-Boltzmann at vibrational levels v > 2 and leads to a decrease in the calculated electron density and integral intensity at 630 nm in the northern and southern hemispheres in comparison with the electron density and integral intensity calculated using the Boltzmann vibrational distribution of N2. It is found that the intensity at 630 nm is very sensitive to the oxygen number densities. Good agreement between the modelled and measured intensities is obtained provided that at all altitudes of the southern hemisphere a reduction of about factor 1.35 in MSIS-86 atomic oxygen densities is included in the IZMIRAN model with the non-Boltzmann vibrational distribution of N2. The effect of using of the O(1D) diffusion results in the decrease of 4–6% in the calculated integral intensity of the northern hemisphere and 7–13% in the calculated integral intensity of the southern hemisphere. It is found that the modelled intensities of the southern hemisphere are more sensitive to the assumed values of the rate coefficients of O+(4S) ions with the vibrationally excited nitrogen molecules and quenching of O+(2D) by atomic oxygen than the modelled intensities of the northern hemisphere.

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5

Kim, Hackjin, and Youngdo Won. "Molecular Dynamics Simulations of Vibrational Energy Distribution in Vibrational Cooling and Heating." Journal of Physical Chemistry 100, no. 22 (January 1996): 9495–99. http://dx.doi.org/10.1021/jp952916b.

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6

Pavlov, A. V., and K. I. Oyama. "The role of vibrationally excited nitrogen and oxygen in the ionosphere over Millstone Hill during 16-23 March, 1990." Annales Geophysicae 18, no. 8 (August 31, 2000): 957–66. http://dx.doi.org/10.1007/s00585-000-0957-2.

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Abstract. We present a comparison of the observed behavior of the F region ionosphere over Millstone Hill during the geomagnetically quiet and storm period on 16-23 March, 1990, with numerical model calculations from the time-dependent mathematical model of the Earth's ionosphere and plasmasphere. The effects of vibrationally excited N2(v) and O2(v) on the electron density and temperature are studied using the N2(v) and O2(v) Boltzmann and non-Boltzmann distribution assumptions. The deviations from the Boltzmann distribution for the first five vibrational levels of N2(v) and O2(v) were calculated. The present study suggests that these deviations are not significant at vibrational levels v = 1 and 2, and the calculated distributions of N2(v) and O2(v) are highly non-Boltzmann at vibrational levels v > 2. The N2(v) and O2(v) non-Boltzmann distribution assumption leads to the decrease of the calculated daytime NmF2 up to a factor of 1.44 (maximum value) in comparison with the N2(v) and O2(v) Boltzmann distribution assumption. The resulting effects of N2(v > 0) and O2(v > 0) on the NmF2 is the decrease of the calculated daytime NmF2 up to a factor of 2.8 (maximum value) for Boltzmann populations of N2(v) and O2(v) and up to a factor of 3.5 (maximum value) for non-Boltzmann populations of N2(v) and O2(v) . This decrease in electron density results in the increase of the calculated daytime electron temperature up to about 1040-1410 K (maximum value) at the F2 peak altitude giving closer agreement between the measured and modeled electron temperatures. Both the daytime and nighttime densities are not reproduced by the model without N2(v > 0) and O2(v > 0) , and inclusion of vibrationally excited N2 and O2 brings the model and data into better agreement. The effects of vibrationally excited O2 and N2 on the electron density and temperature are most pronounced during daytime.Key words: Ionosphere (ion chemistry and composition; ionosphere-atmosphere interactions; ionospheric disturbances)

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7

Fernández Núñez, M., and M. Martin Reviejo. "Uncertainty in the intramolecular vibrational energy distribution." Journal of Molecular Structure: THEOCHEM 166 (June 1988): 253–56. http://dx.doi.org/10.1016/0166-1280(88)80445-7.

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8

Luo, Huiping, Austin Scholp, and Jack J. Jiang. "The Finite Element Simulation of the Upper Airway of Patients with Moderate and Severe Obstructive Sleep Apnea Hypopnea Syndrome." BioMed Research International 2017 (October 24, 2017): 1–5. http://dx.doi.org/10.1155/2017/7058519.

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Objectives. To investigate the snoring modes of patients with Obstructive Sleep Apnea Hypopnea Syndrome and to discover the main sources of snoring in soft tissue vibrations. Methods. A three-dimensional finite element model was developed with SolidEdge to simulate the human upper airway. The inherent modal simulation was conducted to obtain the frequencies and the corresponding shapes of the soft tissue vibrations. The respiration process was simulated with the fluid-solid interaction method through ANSYS. Results. The first 6 orders of modal vibration were 12 Hz, 18 Hz, 21 Hz, 22 Hz, 36 Hz, and 39 Hz. Frequencies of modes 1, 2, 4, and 5 were from tongue vibrations. Frequencies of modes 3 and 6 were from soft palate vibrations. Steady pressure distribution and air distribution lines in the upper airway were shown clearly in the fluid-solid interaction simulation results. Conclusions. We were able to observe the vibrations of soft tissue and the modeled airflow by applying the finite element methods. Future studies could focus on improving the soft tissues vibration compliances by adjusting the model parameters. Additionally, more attention should be paid to vibrational components below 20 Hz when performing an acoustic analysis of human snore sounds due to the presence of these frequencies in this model.

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9

Carpenter, M. A., M. T. Zanni, D. J. Levandier, D. F. Varley, and J. M. Farrar. "Proton transfer dynamics on highly attractive potential energy surfaces: Induced repulsive energy release in O− + HF at high collision energies." Canadian Journal of Chemistry 72, no. 3 (March 1, 1994): 828–35. http://dx.doi.org/10.1139/v94-110.

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We present the angular and kinetic energy distributions for the products of the proton transfer reaction O− + HF → OH + F− at center-of-mass collision energies of 45.0 and 55.8 kJ mol−l (0.47 and 0.58 eV, respectively). At both collision energies, the product angular distributions show forward–backward symmetry, characteristic of the decay of a transient complex living at least several rotational periods. The product kinetic energy distributions show structure that is clearly attributable to the formation of OH in v′ = 0,1, and 2. The kinetic energy distribution for a single vibrational state of OH is equivalent to the rotational state distribution for that state. At the higher collision energy, the product kinetic energy distribution shows a clear angular dependence, from which we infer a transition to more direct dynamics involving low impact parameter collisions that access the repulsive wall of the potential surface in bent geometries. The vibrational energy in the products decreases with increasing collision energy, with fV′, the fraction of available energy appearing in vibration, decreasing from 0.28 to 0.22 over the reported collision energy range. We attribute this behavior to a transition from mixed energy release of a Heavy + Light–Heavy collision system dominated by the strong attractive well to induced repulsive energy release as the system reaches the low energy repulsive wall of the potential energy surface.

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10

Parensen, M., and W. Brockner. "Schwingungsspektren und Normalkoordinatenanalyse des P2Se64–-Anions in den konformeren staggered- und eclipsed-Anordnungen in TL4P2Se6und Na4P2Se6." Zeitschrift für Naturforschung A 41, no. 10 (October 1, 1986): 1233–37. http://dx.doi.org/10.1515/zna-1986-1010.

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Na4P2Se6 has been prepared by elemental synthesis at high temperatures and characterized by vibrational spectroscopy. The vibrational frequencies of Na4P2Se6 are assigned on the basis of eclipsed P2Se64- conformers with D3h symmetry, those of Tl4P2Se6 on the basis of staggered P2Se64- units with D3d symmetry. A normal coordinate analysis has been performed for both conformers. The refined force field, potential energy distribution (PED), mean amplitudes of vibration an Coriolis coupling constants are given.

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11

Jamróz, Michał H. "Vibrational Energy Distribution Analysis (VEDA): Scopes and limitations." Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy 114 (October 2013): 220–30. http://dx.doi.org/10.1016/j.saa.2013.05.096.

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12

Su, Hongmei, and Richard Bersohn. "Vibrational state distribution and relaxation of vinoxy radicals." Journal of Chemical Physics 115, no. 1 (July 2001): 217–24. http://dx.doi.org/10.1063/1.1369602.

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13

Pritchard, Huw O., S. Raj Vatsya, and DeLin Shen. "Distribution of vibrational potential energy in molecular systems." Journal of Chemical Physics 110, no. 19 (May 15, 1999): 9384–89. http://dx.doi.org/10.1063/1.478903.

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14

Malinovsky, A. L., and E. A. Ryabov. "Intramolecular vibrational distribution in IR multiphoton excited CF3CH2OH." Chemical Physics 145, no. 3 (September 1990): 389–95. http://dx.doi.org/10.1016/0301-0104(90)87048-g.

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15

Fox, J. L. "The O2+ vibrational distribution in the Venusian ionosphere." Advances in Space Research 5, no. 9 (January 1985): 165–69. http://dx.doi.org/10.1016/0273-1177(85)90285-6.

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16

Ebrahimi, Farzad, Zanyar Esmailpoor Hajilak, Mostafa Habibi, and Hamed Safarpour. "Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 13 (February 21, 2019): 4590–605. http://dx.doi.org/10.1177/0954406219832323.

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In this article, buckling and vibrational behaviors of a carbon nanotube reinforced spinning cylindrical thick shell carrying spring–mass systems and conveying viscous fluid flow are investigated under various temperature distributions. Also, the installed sensors on the proposed system are considered as a tip mass. The uniform distribution and the functionally graded distribution patterns of reinforcement are considered. The modeled cylindrical thick shell and governing equations are derived by a new three-dimensional refined higher-order theory. Finally, the effects of various types of carbon nanotube reinforcements and other parameters on buckling and vibrational characteristics of the structure are investigated in detail.

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17

Slanger, Tom G. "Vibrational excitation in." Canadian Journal of Physics 64, no. 12 (December 1, 1986): 1657–63. http://dx.doi.org/10.1139/p86-289.

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Excitation processes for [Formula: see text] in aurorae, in the nightglow, and in laboratory sources are discussed. It is shown that the observed vibrational distribution in aurorae is consistent with the [Formula: see text] + NO charge-transfer mechanism. Arguments are presented for the case that quenching of O2(b) in vibrational levels above ν′ = 1 is rapid, and that therefore the auroral source is much larger than previously supposed. It is suggested that oxygen atoms are an efficient quencher for O2(b) levels above ν′ = 1.

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18

Ismail, M., W. M. Seif, and M. M. Botros. "Adiabatic and coupled channels calculations for near barrier fusion of 16O +238U using realistic nucleon–nucleon interaction." International Journal of Modern Physics E 25, no. 04 (April 2016): 1650026. http://dx.doi.org/10.1142/s0218301316500269.

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We investigate the fusion cross-section and the fusion barrier distribution of [Formula: see text]O[Formula: see text]U at near- and sub-barrier energies. We use an interaction potential generated by the semi-microscopic double folding model-based on density dependent (DD) form of the realistic Michigan-three-Yukawa (M3Y) Reid nucleon–nucleon (NN) interaction. We studied the role of both the static and dynamic deformations of the target nucleus on the fusion process. Rotational and vibrational degrees of freedom of [Formula: see text]U-nucleus are considered. We found that the deformation and the octupole vibrations in [Formula: see text]U enhance its sub-barrier fusion cross-section. The signature of the the octupole vibrational modes of [Formula: see text]U appears clearly in its fusion barrier distribution profile.

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19

Yushina, I., and E. Bartashevich. "Iodonium Polyiodide Crystals in the Framework of Periodic Calculations with Localized Atomic Basis Sets." Bulletin of the South Ural State University series "Chemistry" 12, no. 4 (2020): 101–9. http://dx.doi.org/10.14529/chem200407.

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Methodological features of the crystal structure modeling for compounds with three-center halogen bond formed by two electron donors S–I+–S in polyiodide crystals were considered within the framework of periodic calculations based on localized atomic orbitals. The analysis of applying the different basis sets, effective core potentials, density functional theory functionals, and Grimme dispersion corrections revealed their effect on the geometric, electronic and vibrational properties obtained in calculations. Distribution of S-I bond lengths in S–I+–S fragment was analyzed. The effect of hybrid functional was demonstrated in the significant elongation of S-I distance. The treatment of dispersion interactions via Grimme approach did not significantly influence obtained results. The calculated vibration modes in medium wavenumber region of characteristic cationic stretching vibrations were validated according to experimental Raman spectra and were found to be in good agreement for C-N, C-C and C=S stretching vibrations. Small-core effective potential was shown to be effective for representation of bond lengths in S–I+–S fragment and gave reasonable results for vibrational data for cationic stretching vibrations. Taking into account relativistic effect on the level of basis set led to fine reproducibility of S-I bond lengths although in polyiodides of complex structure it should be treated with caution due to possible incorrect representation of interanionic distances.

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20

Slanger, T. G., P. C. Cosby, D. L. Huestis, and A. M. Widhalm. "Nightglow vibrational distributions in the A<sup>3</sup>Σ<sub>u</sub><sup>+</sup> and A'<sup>3</sup>Δ<sub>u</sub> states of O<sub>2</sub> derived from astronomical sky spectra." Annales Geophysicae 22, no. 9 (September 23, 2004): 3305–14. http://dx.doi.org/10.5194/angeo-22-3305-2004.

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Abstract. Astronomical sky spectra from the Keck I telescope on Mauna Kea have been used to obtain vibrational distributions in the O2A3Σu+) and O2(A'3Δu) states from rotationally-resolved Herzberg I and Chamberlain band emissions in the terrestrial nightglow. The A3Σu+ distribution is similar to that presented in earlier publications, with the exception that there is significant population in the previously undiscerned v=0 level. The vibrational distributions of the A'3Δu and A3Σu+ states are essentially the same when comparison is made in terms of the level energies. The intensity of Chamberlain band emission at the peak of the distribution is about one-fourth that of the Herzberg I emission, as previously shown, and may be related primarily to radiative efficiency. The peaks in both population distributions are about 0.25eV below the O(3P)+O(3P) dissociation limit. We compare these Herzberg state distributions with that of the O2(b1Σg+) state, concurring with others that the intense nightglow emission associated with b1Σg+(v=0) is a reflection of direct transfer from the Herzberg states. This process takes place following O2 collisions, with simultaneous production of very high a1Δg and b1Σg+ vibrational levels.

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21

Dem'Yanenko, A. V., G. A. Polyakov, and A. A. Puretzky. "IR-Luminescence of CF2Cl2 Molecules in Multiple-Photon Excitation With Co2-Laser Radiation." Laser Chemistry 8, no. 2-4 (January 1, 1988): 123–35. http://dx.doi.org/10.1155/lc.8.123.

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We studied the IR luminescence spectra of vibrationally excited CF2Cl2 molecules resulting from excitation of the ν1 (1098 cm−1) and ν8 (922 cm−1) modes with a pulsed CO2 laser. The nonequilibrium spectra obtained under pumping conditions where their equilibrium counterparts coincide (the number of the photons absorbed per molecule being the same) were found to differ considerably. We suppose that this difference is due to different types of vibrational distribution formed as a result of the IR laser pumping. When pumping the ν1 mode, excitation of the R-branch occurs, resulting in the molecules “sticking” on the lower vibrational levels, whereas in the case of the ν8 mode, it is the P-branch that gets excited so that the molecules become easy to raise to high-lying vibrational levels.

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22

Courageux, T., A. Cournol, D. Comparat, B. Viaris de Lesegno, and H. Lignier. "Determining a vibrational distribution with a broadband optical source." Physical Chemistry Chemical Physics 22, no. 35 (2020): 19864–69. http://dx.doi.org/10.1039/d0cp03583a.

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23

Ogata, Yudai, Yukio Kawashima, Kaito Takahashi, and Masanori Tachikawa. "Theoretical vibrational spectra of OH−(H2O)2: the effect of quantum distribution and vibrational coupling." Physical Chemistry Chemical Physics 17, no. 38 (2015): 25505–15. http://dx.doi.org/10.1039/c5cp03632a.

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24

Wang, Ze-Ren, Xu-Liang Zhu, Lu Jiang, Kai Zhang, Hui-Wen Luo, Yue Gu, and Peng Zhang. "Investigations of the Hydrogen Bonds and Vibrational Spectra of Clathrate Ice XVI." Materials 12, no. 2 (January 12, 2019): 246. http://dx.doi.org/10.3390/ma12020246.

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Natural gas hydrates are ice-like crystalline materials formed from natural gas and clathrate ice under high pressure and low temperature. Ice XVI, the first S-II type clathrate ice produced in the lab, was simulated by first-principles density functional theory with the CASTEP code. A 34-molecule supercell was built to mimic the hydrogen-disordered structure. The vibrational spectra were calculated as a reference for inelastic neutron scattering (INS), infrared (IR) absorption, and Raman scattering experiments. Two kinds of H-bond vibration modes corresponding to two different bond strengths were found in our previous studies. In this paper, the statistics of distribution calculated by integrating these two kinds of modes was found to match the phonon density of states (PDOS) very well. We confirmed that the two basic types of H-bonds also appeared in clathrate ice XVI. The typical normal modes were analyzed to illustrate the dynamic process of lattice vibrations.

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25

Donzis, Diego A., and Agustin F. Maqui. "Statistically steady states of forced isotropic turbulence in thermal equilibrium and non-equilibrium." Journal of Fluid Mechanics 797 (May 17, 2016): 181–200. http://dx.doi.org/10.1017/jfm.2016.288.

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We investigate statistically steady states of turbulent flows when molecular degrees of freedom, in particular vibration, are taken into account. Unlike laminar flows initially in thermal non-equilibrium which asymptotically relax towards thermal equilibrium, turbulent flows present persistent departures from thermal equilibrium. This is due to fluctuations in temperature and other thermodynamic variables, which are known to increase with turbulent Mach number. Analytical results are compared to direct numerical simulations at a range of Reynolds and Mach numbers as well as molecular parameters such as relaxation times. Turbulent fluctuations are also shown to disrupt the distribution of energy between translational–rotational–vibrational modes even if thermal equilibrium is attained instantaneously relative to turbulence time scales, an effect that increases with characteristic relaxation times. Because of the nonlinear relation between temperature and vibrational energy in equilibrium, the fluctuation of the latter could be strongly positively skewed with long tails in its probability density function. This effect is stronger in flows with strong temperature fluctuations and when vibrational modes are partially excited. Because of the finite-time relaxation of vibration, departures from equilibrium result in very strong transfers of energy from the translational–rotational mode to the vibrational mode. A simple spectral model can explain the stronger departures from thermal equilibrium observed at the small scales. The spectral behaviour of the instantaneous vibrational energy can be described by classical phenomenology for passive scalars.

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26

AKPEK, Ali, Chongho YOUN, and Toshiharu KAGAWA. "A Study on Vibrational Viscometers Considering Temperature Distribution Effect." JFPS International Journal of Fluid Power System 7, no. 1 (2014): 1–8. http://dx.doi.org/10.5739/jfpsij.7.1.

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27

Cheskis, S. G., A. A. Iogansen, P. V. Kulakov, I. Yu Razuvaev, O. M. Sarkisov, and A. A. Titov. "OH vibrational distribution in the reaction O(1D)+CH4." Chemical Physics Letters 155, no. 1 (February 1989): 37–42. http://dx.doi.org/10.1016/s0009-2614(89)87356-7.

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28

Manli, He, and Xiao Bingjia. "Study on Vibrational Distribution of D2Molecules in Edge Plasmas." Plasma Science and Technology 7, no. 3 (June 2005): 2863–67. http://dx.doi.org/10.1088/1009-0630/7/3/019.

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29

Delmdahl, R. F., B. L. G. Bakker, and D. H. Parker. "Completely inverted ClO vibrational distribution from OClO(2A2 24,0,0)." Journal of Chemical Physics 112, no. 12 (March 22, 2000): 5298–300. http://dx.doi.org/10.1063/1.481100.

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30

Orel, A. E. "Nascent vibrational/rotational distribution produced by hydrogen atom recombination." Journal of Chemical Physics 87, no. 1 (July 1987): 314–18. http://dx.doi.org/10.1063/1.453628.

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31

Xiao-Feng, Pang, and Chen Xiang-Rong. "Distribution of Vibrational Energy Levels of Protein Molecular Chains." Communications in Theoretical Physics 35, no. 3 (March 15, 2001): 323–26. http://dx.doi.org/10.1088/0253-6102/35/3/323.

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32

DeGiuli, Eric, Edan Lerner, Carolina Brito, and Matthieu Wyart. "Force distribution affects vibrational properties in hard-sphere glasses." Proceedings of the National Academy of Sciences 111, no. 48 (November 18, 2014): 17054–59. http://dx.doi.org/10.1073/pnas.1415298111.

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33

Gollub, C., B. M. R. Korff, K. L. Kompa, and R. de Vivie-Riedle. "Chirp-driven vibrational distribution in transition metal carbonyl complexes." Phys. Chem. Chem. Phys. 9, no. 3 (2007): 369–76. http://dx.doi.org/10.1039/b612286h.

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34

Blangé, J. J., J. M. Zijlstra, A. Amelink, X. Urbain, H. Rudolph, P. van der Straten, H. C. W. Beijerinck, and H. G. M. Heideman. "Vibrational State Distribution ofNa2+Ions Created in Ultracold Collisions." Physical Review Letters 78, no. 16 (April 21, 1997): 3089–92. http://dx.doi.org/10.1103/physrevlett.78.3089.

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35

Fox, J. L., and A. Dalgarno. "The vibrational distribution of N2+in the terrestrial ionosphere." Journal of Geophysical Research: Space Physics 90, A8 (August 1, 1985): 7557–67. http://dx.doi.org/10.1029/ja090ia08p07557.

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36

Wolfrum, J. "Laser Stimulation and Observation of Simple Gas Phase Radical Reactions." Laser Chemistry 9, no. 1-3 (January 1, 1988): 171–93. http://dx.doi.org/10.1155/lc.9.171.

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Experiments on the effect of Selective vibrational, translational and orientations excitation of reactants in bimolecular reactions can give important insights into the microscopic dynamics of elementary chemical reactions. The information obtained in such experiments can be compared with the results of theoretical calculations of the reaction dynamics based on ab initio potential energy surfaces and is also of basic interest to improve the kinetic data used in detailed chemical kinetic modelling.Rotational and vibrational energy transfer between H2 and H0 has been studied directly using Raman excitation combined with time resolved CARS spectroscopy. The competition between reactive and inelastic channels was investigated for reactions of atoms with vibrationally excited H2 and HCl molecules. Selective vibrational excitation was achieved by using infrared laser or Raman-pumping. The reaction products were detected by time resolved atomic line resonance absorption mass-spectrometry and CARS-spectroscopy. In some cases information on the contributions of adiabatic and non-adiabatic reactive pathways could be obtained. The reaction H + O2→ OH + O has been studied using translationally hot H atoms at various energies. Absolute total reactive cross-sections, nascent rotational state distributions and information on the distribution of orientations of the OH angular momentum vector using polarized dissociation and analysis laser sources have been obtained.

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37

Kaur, Prabhjot. "Study of geometric, electronic structures and vibrations of 4, 4′, 4′′, 4′′′-(porphine-5,10,15,20 tetrayl) tetrakis (benzene sulfonic acid) compound by computational and experimental techniques." Journal of Porphyrins and Phthalocyanines 25, no. 04 (March 29, 2021): 343–58. http://dx.doi.org/10.1142/s1088424621500413.

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The optimized geometry and vibrational frequencies of a substituted compound of tetraphenylporphine namely 4, 4[Formula: see text], 4[Formula: see text], 4[Formula: see text]-(porphine-5,10,15,20 tetrayl) tetrakis (benzene sulfonic acid) have been investigated using density functional theory. The vibrational spectra of tetraphenylporphine and its substituted complex were simulated to study the substitution effects of sulfonic acid group at the peripheral sites of tetraphenylporphine. Experimentally, vibrational properties of these molecules have been studied using infrared absorption spectroscopic technique. The vibrational frequencies obtained from the theoretical studies generally agree with the experimental values. For substituted molecules, due to a change in charge distribution, ring vibrations accompanied by the S–O motions also appear at the higher wavenumbers. In the lower region, C–H bending vibrations diminish and SO3 group vibrations arise. The electronic absorption spectra of the substituted tetraphenylporphine in different solvents have been studied using UV-vis spectroscopy. In addition to dipole-dipole and electrostatic interactions, hydrogen bonding plays a key role in molecular-solvent interactions. The energy gap between the highest occupied and lowest unoccupied molecular orbitals and natural bonding orbital analysis show the intermolecular charge transfer interactions. The molecular electrostatic potential and solvent accessible surface area analysis were made in order to study the interaction sites of the molecules. The current-voltage characteristics for the substituted molecule were also plotted. It was found that substituted tetraphenylporphine show good photoconductivity.

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38

Aubanel, Eric E., and André D. Bandrauk. "Molecules in strong laser fields: vibrational inversion and harmonic generation." Canadian Journal of Chemistry 72, no. 3 (March 1, 1994): 673–77. http://dx.doi.org/10.1139/v94-092.

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We examine two consequences of the unique behaviour of molecules in strong fields. First, by time gating of laser-induced avoided crossings with femtosecond laser pulses, one can obtain efficient vibrational inversion into a narrow distribution of vibrational levels of a molecular ion. We demonstrate this by numerical solution of the time-dependent Schrödinger equation for [Formula: see text] Second, we show results of numerical calculation with vibrationally excited [Formula: see text] of harmonic generation up to the 11th order of an intense 1064- nm laser. We predict that competition of photodissociation can be minimized by trapping the molecule in high-field-induced potential wells, thus enhancing the high-order harmonic generation process. Furthermore, the harmonic spectrum can serve as a measure of the structure of these laser-induced potentials.

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39

Cyvin, S. J., B. N. Cyvin, C. Wibbelmann, R. Becker, W. Brockner, and M. Parensen. "Synthesis, Vibrational Spectra and Normal Coordinate Analysis of Cesium-Hexathiohypodiphosphate Cs4P2S6." Zeitschrift für Naturforschung A 40, no. 7 (July 1, 1985): 709–13. http://dx.doi.org/10.1515/zna-1985-0710.

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The title compound has been prepared by elemental synthesis at high temperatures and also by reaction of Na4P2S6 · 6H2O with CsCl in aqueous solution. Both reaction products have closely related vibrational spectra which are assigned on the basis of a P2S64- anion with perturbed D3d symmetry. A normal coordinate analysis has been performed using a force Field with 4 initial force constants. The refined force Field, potential energy distribution (PED), mean amplitudes of vibration and Coriolis coupling constants are given.

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40

Zhao, Dan, Xiaohu He, and Wei Guo. "Stereodynamics investigation of F + HO → HF + O(1D) on the ground singlet potential energy surface by means of the quasi-classical trajectory method." Canadian Journal of Chemistry 92, no. 3 (March 2014): 250–56. http://dx.doi.org/10.1139/cjc-2013-0401.

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The stereodynamics calculation of F + HO → HF + O(1D) was carried out using the quasi-classical trajectory method on the 11A′ potential energy surface provided by Gomez-Carrasco et al. (Chem. Phys. Lett. 2007, 435, 188). The effect of the collision energy, isotopic substitution, and different initial ro-vibrational states on the reaction is discussed. It is found that for the initial ground state of HO (v = 0, j = 0), the degree of the forward scattering and the product polarizations remarkably change as the collision energy varies. Isotopic effect leads to the increase of alignment and decrease of orientation of product rotational angular momentum. Moreover, the P(θr) distribution and P(φr) distribution change noticeably by varying the initial vibrational number. The initial vibrational excitation plays a more important role in the enhancement of alignment and orientation distribution of j′ for the title reaction. Although the influence of the initial rotational excitation effect on the aligned and oriented distribution of product is not stronger than that of the initial vibrational excitation effect, the initial rotational excitation makes the alignment of the product rotational angular momentum decrease to some extent. The probabilities show that the reactivity of the title reaction strongly depends on the initial vibrational state.

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41

Naaman, R. "Vibrational Energy Distribution in BaI Produced in Reactions of Van der Waals Molecules." Laser Chemistry 5, no. 6 (January 1, 1986): 385–92. http://dx.doi.org/10.1155/lc.5.385.

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The reactions of Ba with CF3I dimers and CH3IAr complexes were studied applying the laser induced fluorescence (LIF) technique. It was found that the BaI produced from the dimers contains about 20 kcal/mole less vibrational energy than the BaI produced in the corresponding monomeric reaction. The CH3IAr on the other hand, yielded only a slightly colder vibrational distribution than the monomers.

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42

Zhao, Ming Hui. "Vibration Analysis of a Shell Structure by Finite Element Method." Advanced Materials Research 591-593 (November 2012): 1929–33. http://dx.doi.org/10.4028/www.scientific.net/amr.591-593.1929.

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Plate-shell structures, especially cylindrical shells and spherical shells, are widely used in engineering fields, such as aircraft and tanks, missiles, submarines, ships, hydraulic pumps, infusion pipelines and gas pipelines, and so on. These structures are usually in a fluid medium, which are related to the structure fluid-solid coupling and acoustic radiation field. As many experiments show that enclosed air in a thin walled structure, just like the violin, affects some modes of vibration significantly, air coupling between vibrating sides of the structure cannot be neglected. In order to explore the sound pressure distribution of vibrational frequencies, this paper, considering the material anisotropy, analyzes a typical complex shell structure of the violin by finite element method, including acoustic-structure coupling analysis and post-processing, especially sound pressure vibration frequency extraction. Finally, we get the conclusion that the distribution of sound pressure vibration frequency is similar to the normal distribution.

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43

PEYRAUD-CUENCA, N., and P. FAUCHER. "The role of collective effects in the kinetics of a molecular plasma generated by a particle beam. Application to nitrogen." Journal of Plasma Physics 60, no. 2 (September 1998): 393–411. http://dx.doi.org/10.1017/s0022377898006898.

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A molecular plasma generated by a particle beam generally departs strongly from a Maxwellian distribution and exhibits a pronounced depletion of electrons as soon as cold electrons cross the first vibrational barrier. We show that this situation produces screened Coulomb interactions that enlarge the Coulomb cross-section in the neighbourhood of this first vibrational threshold. Including these screened interactions through the Balescu–Lenard operator with all excitation transitions leads to a modification of the distribution at the first vibrational barrier. An application is given to the case of low-pressure nitrogen lasers.

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44

Doljikov, Yu S., A. L. Malinovsky, and E. A. Ryabov. "Inter- and Intramolecular Vibrational Distribution in IR Multiple Photon Excitation: CF2Cl2 Molecule." Laser Chemistry 8, no. 2-4 (January 1, 1988): 81–96. http://dx.doi.org/10.1155/lc.8.81.

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Vibrational energy distribution of IR MP-excited CF2Cl2 is studied when pumping molecules through ν1 and ν8 modes. In both cases the intermolecular distribution is found to be in a state of nonequilibrium consisting of ensembles of “hot” and “cold” molecules. The structure of the “cold” ensemble is different when ν1 and ν8 modes are pumped. Statistical intramolecular energy distribution caused by stochastization of vibrational motion is found for “hot” molecules. The estimated value of stochastization onset energy equals Eth ≤ 7800 cm−1.

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45

Bindu, M. B., Linu Sam, and Amrutha R. "Potential Energy Distribution Study Of Beta Asarone and its Vibrational Spectrum and Force Constants." Journal of University of Shanghai for Science and Technology 23, no. 09 (September 20, 2021): 959–66. http://dx.doi.org/10.51201/jusst/21/09635.

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The PED assignments are analysed for the title molecule. The Force Constants and Reduced masses are presented for reference. Vibrational assignments are made to the title molecule Beta Asarone. .The analysis of Vibrational Assignments is done with an intention to deduce the various properties of Beta Asarone that should aid in analysing the reported toxicity of Beta Asarone.

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46

Schmidt, H. T., L. Vejby-Christensen, H. B. Pedersen, D. Kella, N. Bjerre, and L. H. Andersen. "Dissociative recombination for vibrationally excited ions: the effect of laser photodissociation on the initial vibrational distribution." Journal of Physics B: Atomic, Molecular and Optical Physics 29, no. 12 (June 28, 1996): 2485–96. http://dx.doi.org/10.1088/0953-4075/29/12/012.

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47

Chen, Kuei-Hsien, Jyhpyng Wang, and Eric Mazur. "Nonthermal Intramolecular Vibrational Energy Distribution in Infrared-Multiphoton-Excited CF2Cl2." Physical Review Letters 59, no. 24 (December 14, 1987): 2728–31. http://dx.doi.org/10.1103/physrevlett.59.2728.

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48

Magne, L., G. Cernogora, J. Loureiro, and C. M. Ferreira. "Vibrational distribution of N2(a1Pig) in a DC glow discharge." Journal of Physics D: Applied Physics 24, no. 10 (October 14, 1991): 1758–64. http://dx.doi.org/10.1088/0022-3727/24/10/010.

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49

Loureiro, J., and C. M. Ferreira. "Coupled electron energy and vibrational distribution functions in stationary N2discharges." Journal of Physics D: Applied Physics 19, no. 1 (January 14, 1986): 17–35. http://dx.doi.org/10.1088/0022-3727/19/1/007.

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50

Hiemstra, Rob S., A. Barbara van der Kamp, Wim J. van der Zande, A. Gareth Brenton, and Mats Larsson. "Vibrational distribution of NO2+ ions formed by electron impact ionization." Chemical Physics Letters 205, no. 2-3 (April 1993): 236–40. http://dx.doi.org/10.1016/0009-2614(93)89236-b.

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