Calculation of the rotational constants A and C for isotopic species of slightly perturbed CH3CN symmetric top molecules

A technique which was employed earlier to calculate the rotational constants of CH₃CCH has been extended to the ground and two vibrational levels in thev ₈ vibration of CH₃CN for several isotopic species. The moments of inertia and a computer iteration technique over experimental data for each isotopic species were employed to evaluate the constantA _v in an excited vibrational state for a symmetric top molecule. This method gave good estimates forA _v for each isotope. The angle of bending and the orientation of each molecular system in reference frames, one fixed on the carbon atom at the -CN site and the other at the center of mass, were explored. These results are discussed in this paper. The method, which was applied by Tam and Roberts to the nv₁₀,n=1, 2, 3, 4, vibrations of CH₃CCH earlier and which was extended to thev ₁₀=1 vibration of CH₃CCH with¹³C isotopic species, has been applied to¹³C isotopic species of CH₃CN and seems to be a useful tool to extract the value ofA ₀. Each of these molecules shows reasonable dependency ofA _v over vibrational levels. Values ofA _v calculated from the geometrical model are in good agreement with those obtained by fitting the terms in the frequency equations, which containedA _v , to the experimental data through an iteration technique in which the value ofA was allowed to vary.     

A Crossed Molecular Beam Study on the Reaction of Boron Atoms with Methylacetylene and Partially Deuterated Methylacetylene

The reactions of ground‐state boron atoms, B(²P_j), with methylacetylene, CH₃CCH(X¹A₁), and its [D3]‐substituted isotopomer, CD₃CCH(X¹A₁), are studied under single collision conditions using the crossed molecular beam technique at collision energies of 21.6 and 21.9 kJ mol^?1, respectively. Utilizing the CD₃CCH reactant, detailed information on the dynamics is obtained. The reaction followed indirect scattering dynamics and proceeded through at least two reaction channels via atomic deuterium and hydrogen atom elimination pathways leading eventually to two isotopomers, that is, the C_2v symmetric D₂CCCBH(X¹A₁) and D₂CCCBD(X¹A₁) structures via statistical and non‐statistical reaction pathways, respectively.     

Theoretical study of the electronic structure of diazomethane

The least-energy dissociation path of the ground state of CH₂N₂ was determined fromab initio calculations using in a complementary way basis sets of minimal size (STO-3G) and double-zeta (DZ) quality. The results indicate that the least-energy point of attack of the N₂ molecule on CH₂ (¹ A ₁) is roughly perpendicular to the molecular plane (93 °), the C and N atoms being almost co-linear (angle C-N-N203 ° with outermost N atom pointing away from CH₂). The potential barrier of 1.2 eV found previously on theC _2v dissociation path, disappears completely along the least-energy dissociation path (point groupC _s (out-of-plane)). These findings corroborate the Woodward-Hoffman rules for this process since the outermost orbitals of the two intersecting states found in point groupC _2v (...2b ₁ and ...8a ₁) both correlate to the same irreducible representation (10á) in point groupC _s (out-of-plane).Larger basis set calculations (DZ + polarization functions on all centers, 3d _c and 3d _N developed here), were also carried out on CH₂N₂ (¹ A ₁,³ A ₂ and¹ A ₂) at the¹ A ₁ equilibrium geometry and on CH₂ (³ B ₁) and N₂ (¹ _g ⁺ ) at their respective equilibrium geometries. These calculations, together with consideration of correlation energy differences, yieldD ₀ ⁰ (CH₂N₂,¹ A ₁) = 19 kcal/mole and vertical excitation energies of 67 and 73 kcal/mole for the³ A ₂ and¹ A ₂ states respectively. The latter value is in good agreement with the measured experimental value: 72.4 kcal/mole corresponding to the maximum of intensity in the¹ A ₂¹ A ₁ absorption band.     

Infrared molecular beam depletion spectroscopy of size-selected methanol clusters

Molecular beam depletion spectroscopy has been employed to study the dissociation of small methanol clusters in the spectral region between 1000 and 1100 cm^?1 which covers thev ₈ CO stretch (1033.5 cm^?1) and thev ₇ CH₃ rock (1074.5 cm^?1) monomer vibrations. Size selection has been achieved by dispersing the (CH₃OH) _n cluster beam by a secondary He beam. Aside from the recently published CH₃OH dimer absorption bands at 1026.5 and 1051.6 cm^?1 which are assigned to the excitation of the CO stretching vibrations in the non-equivalent subunits of the hydrogen-bonded complex, a previously unobserved band was found at 1071.3 cm^?1. This absorption band is attributed to the excitation of the CH₃ rocking vibration in the dimer. It appears that this transition which is very weak in the free methanol monomer receives substantial oscillator strength due to the intermolecular interaction in the complex. A splitting of this band could not be observed. The trimer and tetramer spectra feature single peaks for the CO stretching vibration being centered at 1042.2 cm^?1 and 1044.0 cm^?1, respectively. This observation is consistent with the cyclic structures of these species. The trimer and tetramer rocking vibrations are observed near 1060.5 cm^?1 but cannot be localized exactly, due to a gap in the CO₂ laser tuning range.     

A restricted active space (RAS) SCF study of the lifetime of theA 3Π state of OH+

Summary Restricted Active Space (RAS) SCF calculations have been performed of the potential curves for theX ^3– andA ³ states of the OH⁺ ion and on the lifetime of thev=0–2 vibrational levels of theA state. The convergence of the transition moment integral as a function of the size of the active orbital space was used to select the active orbitals. The calculated value of thev=0 lifetime is 2.4 µs. An estimate of the errors remaining in the calculation leads to a final theoretical value of 2.7±0.1 µs. Computed bond distances and bond energies are 1.031 (1.029) Å and 5.05 (5.01) eV, respectively, for theX state, and 1.137 (1.135) Å and 1.57 eV, respectively, for theA state (experimental values within parenthesis).On leave from Departamento de Quimica Fisica, Universitat de València, Dr. Moliner 50, Burjassot, 46 100 València, Spain     

Very low-pressure pyrolysis (VLPP) of 3,3-dimethylbut-1-yne (tert-butyl acetylene). The heat of formation and stabilization energy of the dimethylpropargyl radical

The unimolecular decomposition of 3,3-dimethylbut-1-yne has been investigated over the temperature range of 933°-1182°K using the technique of very low-pressure pyrolysis (VLPP). The primary process is C? C bond fission yielding the resonance stabilized dimethylpropargyl radical. Application of RRKM theory shows that the experimental unimolecular rate constants are consistent with the high-pressure Arrhenius parameters given by log (k/sec^?1) = (15.8 ± 0.3) - (70.8 ± 1.5)/θ where θ = 2.303RT kcal/mol. The activation energy leads to DH⁰[(CH₃)₂C(CCH)? CH₃] = 70.7 ± 1.5, θH⁰_f((CH₃)₂?CCH,g) = 61.5 ± 2.0, and DH⁰[(CH₃)₂C(CCH)? H] = 81.0 ± 2.3, all in kcal/mol at 298°K. The stabilization energy of the dimethylpropargyl radical has been found to be 11.0±2.5 kcal/mol.     

Hyperfine structure of N2 (B 3Π g andA 3Σ u + ) from LIF measurements on a beam of metastable N2 molecules

Crossing an intense beam of nitrogen molecules in the metastable N₂(A) state with the beam from a CW dye laser, laser-induced fluorescence was observed in the first positive system of N₂,B ³Π _g ?A ³Σ _u ⁺ . About 300 lines of the (10, 6) band were studied at sub-Doppler resolution (15 MHz FWHM). From the well-resolved hyperfine structure of the lines, the hyperfine splittings of both the upper and the lower state were derived for a range of rotational quantum numbers up toJ=12. Using multiple independent determinations of each splitting via lines belonging to different branches, the hfs could be measured with an accuracy of about 2 MHz. Fitting known theoretical expressions for the hyperfine energies to the data, the following nuclear coupling constants were obtained (in MHz): For theA state,v=6: α=12.86, β=?11.40,e ² q ₀ Q=?2.5. For theB state,v=10:K ₁₁=86.46,D ₁₁=12.67,D _1?1=?44.64,G ₁₁=69.18,Q ₁₁=0.64,Q _1?1=1.38. The hfs is mostly due to nuclear magnetic dipole interactions. For theA state the results are essentially in agreement with hfs constants derived from RF resonance experiments, but are superior as regards the data fit over the entireJ range covered. For theB state, the results are new and are interpreted in terms of a simple LCAO model. The Fermi contact coupling constant is in good agreement with unpublished SCF results by V. Staemmler. The striking dependences of the hfs splitting on the fine structure levels, Λ sublevels and onJ are explained both quantitatively and in terms of vector models.     

Experimental and Theoretical Studies of the HeICl Van der Waals Complexes in the Valence and Ion-pair States

The article presents results of experimental and theoretical analysis of the T-shaped and linear HeICl van der Waals complexes in the valence A1 and ion-pair β1 states as well as the HeICl(A1,v_A,n_A←X0⁺,v_X=0,n_x and β1,v_β,n_β←A1,v_A,n_A) optical transitions (n_i are quantum numbers of the vdW) modes). The HeICl(β1,v_β,n_β)→He+ICl(E0⁺, , β1) decay are also studied. Luminescence spectra of the HeICl(β1,v_β=0–3,n_β) complex electronic (ICl(E0⁺,v_E, ) and vibrational ICl(β1,v_β) predissociation products are measured, and branching ratios of decay channels are determined. To construct potential energy surfaces for the HeICl(A1, β1) states, we utilized the intermolecular diatomic-in-molecule perturbation theory first order method. Experimental and calculated spectroscopic characteristics of the A1 and β1 states agree well. Comparison of the experimental and calculated pump-probe, action and excitation spectra shows that the calculated spectra describe the experimental spectra adequately.     

Chemically activated methylcyclobutane exothermicity of singlet methylene reactions and the heat of formation of singlet methylene

The specific decomposition rates of chemically activated methylcyclobutane produced from CH₂(¹A₁) reaction with cyclobutane have been determined. CH₂(¹A₁)was produced from ketene photolyses at 3340 and 3130 Å and from diazomethane photolyses at 4358 and 3660 Å. Comparisons of the excitation energies of the methylcyclobutane, determined by RRKM theory calculations, and the experimental results for the ketene systems, with thermochemically predicted maximum excitation energies, favor an Arrhenius A factor in the range of 5 × 10¹⁵ to 1 × 10¹⁶ sec^?1 for methylcyclobutane. This result is consistent with (1) the comparison of RRKM theory calculations and the experimental unimolecular falloff for methylcyclobutane, (2) the comparison of experimental A factors for cyclobutane and other alkylcyclobutane decompositions, and (3) two out of three reported experimental A factors for methylcyclobutane. An analysis of these and previous results leads to a value of the CH₂(¹A₁) ? CH₂(³B₁) energy splitting of 9±3 kcal/mole.     

Reaction of photogenerated fluorine atoms with dopant molecules in solid argon

The products of reactions of dopant CH₄ molecules with F atoms diffusing in solid argon at 20–30 K were identified by ESR and FTIR spectroscopy. The F atoms stabilized in the matrix were generated by UV photolysis of Ar?CH₄(CD₄)?F (1000∶1∶1) samples at 13 K. Subsequent heating above 20 K results in thawing off diffusion of the F atoms and formation of products of their reaction with CH₄: radical-molecular complexes^·CH₃?HF (^·CD₃?DF) and radicals^·CH₃ (^·CD₃). The ESR spectra of the radicala are similar to those observed for matrix-isolated^·CH₃. The^·CH₃?HF complexes are characterized by the IR band of HF stetching vibration at 3764 cm^?1. Two additional splittings on the H (a _H·=2 G) and F(a _F=16G) nuclei of the HF molecule appeal in the ESR spectrum of the complex. The latter splitting is retained in the^·CD₃?DF complex, whereA _D· <0.3G The rate constant of the reaction CH₄+F→^·CH₃+HF is equal to ?10^?25 cm³s^?1 at 20 K. Its activation energy (1.7±0.2 kcal mol^?1) is ?0.5 kcal mol^?1 greater than that in the gas phase. The collinear C_3v-configuration of the^·CH₃?HF complex, which is similar to the configuration of the reagents in the transition state of the reaction considered, was established by the comparison of the exprrimental constants of hyperfine coupling with the results of the quantum-chemical calculation.     

Dipole moments,transition moments,oscillator strengths,radiative lifetimes,and overtone intensities for CH and CH+ as computed by quasi-degenerate many-body perturbation theory

The correlated, size-consistent, ab initio effective valence-shell dipole operator (μ^v) method is used to calculate dipole moments and transition dipole moments of the CH molecule and transition dipole moments of the CH⁺ ion as a function of internuclear distance. The dipole and transition dipole moments computed here compare well with those of other accurate ab initio methods. The transition dipole moments are then used to calculate oscillator strengths and radiative lifetimes for the A → X and B → A transitions of the CH⁺ ion and the A → X transition of the CH molecule. Comparisons are made with the best available theoretical and experimental lifetimes. Finally, the CH ground-state dipole moment function is used to evaluate overtone intensities and to examine simple models of the CH overtone intensities in polyatomic molecules.     

Herzberg-teller effect and intensity distribution in the absorption and raman scattering resonance spectra of polyatomic molecules

This paper studies the influence of the Herzberg-Teller effect on the intensity distribution in one- and two-photon absorption and Raman scattering resonance spectra of substituted benzenes. A quantum mechanical analysis of the intensity distribution in the spectra of phenylacetylene and pyrazine is accomplished using the general approach suggested in [1, 2]. Due to the inclusion of vibronic coupling in the calculation, one can explain the presence of lines (as well as their combinations and overtones) arising from one-quantum excitation of nontotally symmetric vibrations. The calculated data are in good agreement with the experimental data. Significantly, the two-photon absorption spectrum of pyrazine in the region of the¹A_1g→¹B_3u long-wave singlet-singlet transition is explained only by the Herzberg-Teller effect. Saratov State Pedagogical Institute. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 2, pp. 304–309, March–April, 1995. Translated by L. Smolina     

Gas‐Phase Photodissociation of CH3CHBrCOCl at 248 nm: Detection of Molecular Fragments by Time‐Resolved FT‐IR Spectroscopy

By employing time‐resolved Fourier transform infrared emission spectroscopy, the fragments HCl (v=1–3), HBr (v=1), and CO (v=1‐3) are detected in one‐photon dissociation of 2‐bromopropionyl chloride (CH₃CHBrCOCl) at 248 nm. Ar gas is added to induce internal conversion and to enhance the fragment yields. The time‐resolved high‐resolution spectra of HCl and CO were analyzed to determine the rovibrational energy deposition of 10.0±0.2 and 7.4±0.6 kcal mol^?1, respectively, while the rotational energy in HBr is evaluated to be 0.9±0.1 kcal mol^?1. The branching ratio of HCl(v>0)/HBr(v>0) is estimated to be 1:0.53. The bond selectivity of halide formation in the photolysis follows the same trend as the halogen atom elimination. The probability of HCl contribution from a hot Cl reaction with the precursor is negligible according to the measurements of HCl amount by adding an active reagent, Br₂, in the system. The HCl elimination channel under Ar addition is verified to be slower by two orders of magnitude than the Cl elimination channel. With the aid of ab initio calculations, the observed fragments are dissociated from the hot ground state CH₃CHBrCOCl. A two‐body dissociation channel is favored leading to either HCl+CH₃CBrCO or HBr+CH₂CHCOCl, in which the CH₃CBrCO moiety may further undergo secondary dissociation to release CO.     

LIF measurement of the vibrational dependence of the N2(B 3Π g ) hyperfine splitting parameters

From very high resolution (8 MHz FWHM) LIF measurements, the hyperfine coupling constants of N₂(A ³Σ _u ⁺ ) and N₂(B ³Π _g ) have been obtained for three pairs of vibrational quantum numbersv′,v″. TheA-state constants are in very good agreement with accurate literature data. The vibrational dependence of some of theB-state constants is found to be much more pronounced. This is qualitatively explained in terms of the electronic structure of the two states.     

Semi-Empirical and DFT Studies on Structures and Spectra for C78（CH2）2

Eighteen possible isomers of C78（CH2）2 weTe investigated by the INDO method. It was indicated that the most stable isomer was 42,43,62,63-C78（CH2）2, where the -CH2 groups were added to the 6/6 bonds located at the same hexagon passed by the longest axis of C78 （C2v）, to form cyclopropane structures. Based on the most stable four geometries of C78（CH2）2 optimized at B3LYP/3-21G level, the first absorptions in the electronic spectra calculated with the INDO/CIS method and the IR frequencies of the C-C bonds on the carbon cage computed using the AM1 method were blue-shifted compared with those of C78 （C2v） because of the bigger LUMO-HOMO energy gap and the less conjugated carbon cage after the addition. The chemical shifts of ^13C NMR for the carbon atoms on the added bonds calculated at B3LYP/3-21G level were moved upfield thanks to the conversion from sp^2-C to sp^3-C.     

Addition of carbon-centered radicals to C60. Determination of the rate constants by the spin trap method

The rate constants of addition of the^.CMe₃,^.CH₂Me,^.CH₂(CH₂)₃Me,^.CH₂Ph,^.CH₂CH=CH₂, and^.CH(Me)Et radicals to fullerene C₆₀ were determined by the method of competitive addition of free radicals to spin traps. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 12, pp 2369–2372, December, 1999.     

Komplexchemie Polyfunktioneller Liganden. XXXIII. IR-, FIR- und RAMAN-Spektroskopische Untersuchungen an Metalltricarbonylderivaten mit vierzähnigen P- und As-Liganden im Bereich 2000–150 cm−1

Complex Chemistry of Polyfunctional Ligands. XXXIII. IR, FIR and Raman-Spectroscopic Studies on Metaltricarbonyl Derivatives of Tetradendate P- and As-Ligands in the Region 2000–150 cm^?1 The IR- (2000–250 cm^?1), FIR- (350–150cm^?1) and RAMAN -spectra (2000–150 cm^?1) of the tetradendate ligands C[CH₂E(C₆H₅)₂]₄ (E = P, As) and of the complexes of the type cis-M(CO)₃(R₂ECH₂)₃C(CH₂ER₂) (M = Cr, Mo, W; E = P, As; R = C₆H₅) have been obtained. A comparison of the spectra of these compounds and consideration of previously reported data of analogous compounds allowed the assignment of all ligand vibrations. After localisation of the ligand vibrations an assignment of the v (CO) (A₁ + E), δ (MCO) (A₁ + 2E, v (MC) (A₁ + E) and v (ME) (A₁) modes was possible for the coordination polyhedra cis-M(CO)₃)E₃ (point group C_3v). The v(ME) (E) modes were unobserved by its very low frequency.     

IR spectra of substituted pyrroles

The IR spectra of 52 substituted pyrroles, including 24 1-vinylpyrroles, were thoroughly analyzed. The principal analytical bands of the pyrrole ring and the vinyl group were isolated. Doublet character of the bands of the stretching vibrations of the double bond ( ^v C=C) and the C-H (CH₂=) out-of-plane deformation vibrations, which indicates the presence of rotational isomerism relative to the N-vinyl bond, was detected. The integral intensify of the principal component of the ^v C=C doublet was measured for 12 of the 1-vinylpyrroles, and it is shown that it is practically independent of the structure of the alkyl substituents in the ring. Proof for the existence of a nonplanar gauche conformation for the 1-vinylpyrroles was obtained.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 7, pp. 910–914, July, 1977.     

Valence bond studies of AH2 molecules

Minimal basis set (STO) molecular orbital and valence-bond calculations are reported for the³ B ₁ and¹ A ₁ states of CH₂. The open-shell molecular orbital calculations used the Roothaan formulation. The valence-bond calculations used the Prosser-Hagstrom biorthogonalisation technique to evaluate the cofactors required in using Löwdin's formulae. Optimisation of geometry and orbital exponents in the molecular orbital calculation on the³ B ₁ state gave a geometry of R_C-H=2.11 a.u. and H-C-H=123.2 °. The energy obtained was ?38.8355 a.u. The molecular orbital and valencebond calculations are compared. In the valence-bond calculations the variation with bond-length and bond-angle of the configuration energies was studied. Valence bond “build-up” studies are also reported. Valence-bond calculations using hybrid orbitals instead of natural atomic orbitals showed that the perfect-pairing approximation is not as good for CH₂ as BeH₂. The nature of the lone-pair and bonding orbitals is found to be significantly different between the³ B ₁ and¹ A ₁ states. In the³ B ₁ state the 2s and 2p orbitals are fairly equally mixed between both types of orbital. However in the¹ A ₁ state the bonding orbitals have mainly 2p character and the lone pair orbitals have mainly 2s character. As was found for H₂O, the bonding hybrid orbitals do not follow the hydrogen nuclei as the bond angle varies but continue to point approximately in their equilibrium directions.     

Configuration interaction calculations on the propane radical cation,C3H 8 +

Summary Proton isotropic hyperfine coupling constants have been calculated for three low-energy nuclear conformations on the ground state potential surface of the propane cation, using a multireference singles and doubles configuration interaction (MR-SDCI) wave function. The lowest point found on the potential surface hadC _2v symmetry and the electronic wave function at this point had²B₂ symmetry. At this point, the largest isotropic coupling constant is calculated to be 88.6 G, which is in fair agreement with the experimental value of 98 G obtained in an SF₆ matrix at 4 K. No support is found for a long-bond ground state of lower symmetry thanC _2v . AnotherC _2v minimum on the ground state potential energy surface was found at which the wave function had² B ₁ symmetry. At this point, two large coupling constants of 198 G and 35 G were calculated. AC _2v stationary point was also found on the ground state potential surface at which the wave function had² A ₁ symmetry. At this point, couplings of 86 G and 25 G were obtained. None of these agree closely with the other experimental result of couplings at both 100–110 G and 50–52.5 G which was obtained in freon matrices. It is suggested that the latter spectra might correspond to a dynamical average of two distorted² A' states inC _s symmetry.