Vibration–vibration energy exchange between 15N14NO and CO

The temperature dependence of the vibration–vibration energy transfer between the v₃ mode of ¹⁵N¹⁴NO and the first vibrational level of CO was determined over a range of 680 to 1300°K using a shock tube. Several mixtures of ¹⁵N¹⁴NO? CO were tested, diluted in 95% Ar. The resulting exothermic transfer probabilities for the reaction, are compared to previous work on N₂O—CO. The results for ¹⁵N¹⁴NO? CO exhibit a more pronounced direct temperature dependence than for N₂O—CO even though the process has a closer resonance (ΔE = 59 cm^?1 for ¹⁵N¹⁴NO? CO and ΔE = 81 cm^?1 for N₂O? CO).     

Vibration–Vibration energy exchange between N2O and CO

The temperature dependence of the vibration–vibration energy transfer between the v₃ mode of N₂O and the first vibrational level of CO was determined over a range of 780 to 1400°K using a shock tube. Several mixtures of CO-N₂O were tested, diluted in 95% Ar. The Landau–Teller plot of the vibration–vibration relaxation times has a least squares line of where pτvv is in atm ˙μsec and T in °K. The measured kinetic reaction was determined to be The transfer probabilities for this process were found to vary directly with temperature.     

Ab initio potential energy surface and vibration–rotation energy levels of germanium dicarbide,GeC2

The accurate ground‐state potential energy surface of germanium dicarbide, GeC₂, has been determined from ab initio calculations using the coupled‐cluster approach. The core–electron correlation, higher‐order valence‐electron correlation, and scalar relativistic effects were taken into account. The potential energy surface of GeC₂ was shown to be extraordinarily flat near the T‐shaped equilibrium configuration. The potential energy barrier to the linear CCGe configuration was predicted to be 1218 cm⁻¹. The vibration–rotation energy levels of some GeC₂ isotopologues were calculated using a variational method. The vibrational bending mode ν₃ was found to be highly anharmonic, with the fundamental wavenumber being only 58 cm⁻¹. Vibrational progressions due to this mode were predicted for the , , and states of GeC₂. © 2018 Wiley Periodicals, Inc.     

Vibration—vibration energy exchange between carbon monoxide and carbon dioxide

Measurements have been made on the vibration—vibration (V—V) energy exchange rate between carbon monoxide and carbon dioxide in the temperature range 180 to 345 K. A steady-state vibrational fluorecence quenching technique was used in conjunction with an open flow gas system. Vibrational excitation of the carbon monoxide was accomplished by absorption of infrared radiation from prospane—oxygen flames. The measured rate constant for the process CO* (υ = 1) + CO₂ → CO + CO^*₂(001) increased linearly with temperature, and after correction for the V—V exchange rate fo the back reaction, the rate constant has a value of (2.2 ± 0.3) × 10³ torr^?1 s^?1 at 296 K. The data are compared to results at highest temperatures and to available theoretical calculations.     

Non-local relation between kinetic and exchange energy densities in Hartree–Fock theory

A non-local generalization K( r, r' ) of the kinetic energy t( r ) such that t( r ) = ∫K( r, r' ) dr' is defined using the idempotency property of the Hartree–Fock first-order density matrix. This is, in turn, related by means of an explicit differential equation to the non-local exchange energy density X( r, r' ). The relationship is illustrated for a couple of examples: with the Fermi-hole in a uniform electron gas, of importance in the local density version of density functional theory, and with inhomogeneous electron systems.     

Spin dependence of low energy charge exchange between H 2 + and Na

The difference in charge exchange rate in collisions between spin oriented sodium atoms and H ₂ ⁺ ions has been measured at an energy of about 1 eV. H ₂ ⁺ was stored in a Penning trap and polarized by spin exchange with Na beam atoms from a hexapole magnet. The ion loss from the trap due to charge exchange was different as we depolarized the atomic beam. From the data we obtain a ratio of cross sections for singlet and triplet collisionsQ ₁/Q ₃=1.5±0.2 andQ ₃=1.2·10^?15 cm².     

Modeling of vibration–electronic–chemistry coupling in the atomic–molecular oxygen system

The comprehensive analysis of the kinetic processes in the atomic–molecular oxygen system is conducted on the base of the novel state-to-state model involving both electronically and vibrationally excited O₂ molecules: and O(³P), O(¹D) atoms as well as vibrationally excited O₃(¹A₁) molecules. The model describes properly experimental data on the total removal rate of vibrationally excited molecules, the temporal evolution of the population of , and on the variation of vibrational temperature of behind strong shock wave. It is demonstrated that to describe with reasonable accuracy the variation of macroscopic flow parameters (pressure, temperature, density, and velocity) in the post shock region it is sufficient to use the widely applied model of mode approximation but in order to predict properly the species concentrations and populations of vibronic states of molecules just downstream the shock front it is needed to use state-to-state consideration.     

Ab initio potential energy surface and vibration‐rotation energy levels of beryllium monohydroxide

The accurate potential energy surface of beryllium monohydroxide, BeOH, in its ground electronic state has been determined from ab initio calculations using the coupled‐cluster approach in conjunction with the correlation‐consistent core‐valence basis sets up to septuple‐zeta quality. The higher‐order electron correlation, scalar relativistic, and adiabatic effects were taken into account. The BeOH molecule was confirmed to be bent at equilibrium, with the BeOH angle of 141.2° and the barrier to linearity of 129 cm⁻¹. The vibration‐rotation energy levels of the BeOH and BeOD isotopologues were predicted using a variational approach and compared with recent experimental data. The results can be useful in a further analysis of high‐resolution vibration‐rotation spectra of these interesting species. © 2016 Wiley Periodicals, Inc.     

Ab initio potential energy surface and vibration‐rotation energy levels of sulfur dioxide

An accurate potential energy surface of sulfur dioxide, SO₂, in its ground electronic state has been determined from ab initio calculations using the coupled‐cluster approach in conjunction with the correlation‐consistent basis sets up to septuple‐zeta quality. The results obtained with the conventional and explicitly correlated coupled‐cluster methods are compared. The role of the core–electron correlation, higher‐order valence–electron correlation, scalar relativistic, and adiabatic effects in determining the structure and dynamics of the SO₂ molecule is discussed. The vibration‐rotation energy levels of the ³²SO₂ and ³⁴SO₂ isotopologues were predicted using a variational approach. It was shown that the inclusion of the aforementioned effects was mandatory to attain the “spectroscopic” accuracy. © 2017 Wiley Periodicals, Inc.     

Generalized Swain–Schaad relations including tunneling and temperature dependence

The Swain–Schaad relation, which relates the kinetic isotope effects of the three hydrogen isotopes, is extended by including tunneling and temperature dependence. The new version shows that the effect of tunneling on the Swain–Schaad exponent is opposite to that usually assumed and depends on the degree of assistance the tunneling receives from other vibrations.     

Accurate ab initio potential energy surface and vibration‐rotation energy levels of hydrogen peroxide

The accurate ground‐state potential energy surface of hydrogen peroxide, H₂O₂, has been determined from ab initio calculations using the coupled‐cluster approach in conjunction with the correlation‐consistent basis sets up to septuple‐zeta quality. Results obtained with the conventional and explicitly correlated coupled‐cluster methods were compared. The core–electron correlation, scalar relativistic, and higher‐order valence–electron correlation effects were taken into account. The adiabatic effects were also discussed. The vibration–rotation energy levels of the H₂O₂, D₂O₂, and HOOD isotopologues were predicted, and the experimental vibrational fundamental wavenumbers were reproduced to 1 cm^?1 (“spectroscopic”) accuracy. © 2012 Wiley Periodicals, Inc.     

Temperature dependence of near-resonant vibration ↔ rotation energy transfer

V ? R,T deactivation of the ν₄ (243 cm^?1) level in BCl₃ by HCl has been measured over the range 220–340 K, with an infrared double resonance technique. The deactivation probabilities show an inverse temperature dependence below room temperature, indicating that long-range attractive forces are important in the resonant transfer process. The results are compared with the theory of Sharma and Brau.     

Simulations of the temperature dependence of amide I vibration

For spectroscopic studies of peptide and protein thermal denaturation it is important to single out the contribution of the solvent to the spectral changes from those originated in the molecular structure. To obtain insights into the origin and size of the temperature solvent effects on the amide I spectra, combined molecular dynamics and density functional simulations were performed with the model N-methylacetamide molecule (NMA). The computations well reproduced frequency and intensity changes previously observed in aqueous NMA solutions. An empirical correction of vacuum frequencies in single NMA molecule based on the electrostatic potential of the water molecules provided superior results to a direct density functional average obtained for a limited number of solute-solvent clusters. The results thus confirm that the all-atom quantum and molecular mechanics approach captures the overall influence of the temperature dependent solvent properties on the amide I spectra and can improve the accuracy and reliability of molecular structural studies.     

Hartree–Fock exchange energy of an inhomogeneous electron gas

We examine the short-range behavior of the spherically averaged Hartree–Fock exchange charge density by performing a simple Taylor expansion. On the basis of this expansion, a theoretical model is constructed that generates gradient correction terms to the local density approximation for the exchange energy of an inhomogeneous electron gas. In particular, we derive the Xαβ exchange energy functional and a theoretical value for the parameter β. Our value for β agrees well with previous empirical estimates, and with empirical calculations in the present work.     

Ab initio ground‐state potential energy function and vibration‐rotation energy levels of imidogen,NH

The accurate ground‐state potential energy function of imidogen, NH, has been determined from ab initio calculations using the multireference averaged coupled‐pair functional (MR‐ACPF) method in conjunction with the correlation‐consistent core‐valence basis sets up to octuple‐zeta quality. The importance of several effects, including electron correlation beyond the MR‐ACPF level of approximation, the scalar relativistic, adiabatic, and nonadiabatic corrections were discussed. Along with the large one‐particle basis set, all of these effects were found to be crucial to attain “spectroscopic” accuracy of the theoretical predictions of vibration‐rotation energy levels of NH. © 2015 Wiley Periodicals, Inc.     

The temperature dependence of the exchange reaction between oxygen atoms and dioxygen molecules studied by means of isotopes and spectroscopy

The temperature dependence of the rate constant for the exchange reaction between oxygen atoms and dioxygen molecules has been studied using the oxygen isotopes ¹⁶O and ¹⁸O. The reaction was studied by VIS-photolysis of ozone in the presence of isotopic dioxygen and with nitrogen as a bath gas at five different temperatures, 143 K, 173 K, 203 K, 253 K, and 295 K. High-resolution microwave spectroscopy was used to measure the composition of the ozone isotopomer mixtures and mass-spectrometry was used to determine the abundances of the isotopomeric dioxygen species formed during the reaction. The rate constant was determined to be k_exchange=(2.66±0.78)×¹⁰⁻¹² (T/300 K)^{−(0.88±0.26)} cm³s⁻¹ (±2σ ) or as the ratio between rate constants for exchange and for ozone formation, (4.67±1.3)×10²¹ (T/300 K)^(1.74±0.19) cm⁻³ (±2σ). © 1997 John Wiley & Sons, Inc.     

Ab initio potential energy surface and vibration‐rotation energy levels of silicon dicarbide,SiC2

The accurate ground‐state potential energy surface of silicon dicarbide, SiC₂, has been determined from ab initio calculations using the coupled‐cluster approach. Results obtained with the conventional and explicitly correlated coupled‐cluster methods were compared. The core‐electron correlation, higher‐order valence‐electron correlation, and scalar relativistic effects were taken into account. The potential energy barrier to the linear SiCC configuration was predicted to be 1782 cm^?1. The vibration‐rotation energy levels of the SiC₂, ²⁹SiC₂, ³⁰SiC₂, and SiC¹³C isotopologues were calculated using a variational method. The experimental vibration‐rotation energy levels of the main isotopologue were reproduced to high accuracy. In particular, the experimental energy levels of the highly anharmonic vibrational ν₃ mode of SiC₂ were reproduced to within 6.7 cm^?1, up to as high as the v₃ = 16 state.     

Temperature dependence of the probabilities of VV energy exchange between H2 and DCl

The temperature dependence of the removal of the vibrational energy of H₂ by DCl in H₂(1) + DCl(0) has been investigated over the range of 300–3000 K. The energy transfer probability of H₂(1) + DCl(0) → H₂(0) + DCl(1), where the vibrational energy of H₂(1) is removed by both the vibrational and rotational motions of DCl(0), is found to be strongly temperature dependent and increases with temperature closely following the relation log P α T^1/3. Over the temperature range it changes by two orders of magnitude. The probability of the near-resonant process H₂ (1) + DCl(O) → H₂(0) + DCl(2) is very close to that of the former at 300 K, but it increases only slightly as the temperature is raised to 3000 K. The sum of the probabilities of these two processes at 300 K is 3.4 × 10^?5, which agrees with the experimental value of 3.95 × 10^?5.