IR-Dichroism of metal dithiocarbamate single crystals by attenuated total reflectance spectroscopy

Reliable assignments of most of the bands of vibrational molecular spectra suffer from ambiguous interaction of atomic displacements. Various experimental methods must be used to ascertain the assignment. By means of dichroic measurements of vibrational bands additional information can be obtained to reach this goal. Thus FT-IR ATR spectra of single crystals of Cd(DEDTC)₂ were recorded. If the molecular site with respect to the crystallographic cell is taken into account, the symmetry of certain vibrational modes can be determined.For aC _2h factor group of the monoclinic cell it is possible to distinguish betweenA _u andB _u symmetry species by the different dichroic ratios of the vibrational bands. This method supports vibrational assignment being verified by force constant refinement calculations.As a result a correlation between molecular site, symmetry and dichroic ratios of vibrational modes of single crystals is presented.     

Molecular Structures of Acetylene Derivatives of Tin. VIII Trimethylstannylacetylene: Use of Results of Quantum-Chemical Calculations and Spectroscopic Measurements in Analysis of Gas-Phase Electron Diffraction Data

Structural analysis of electron diffraction data on trimethylstannylacetylene, (CH₃)₃SnCCH (1), obtained in the previous investigation (the nozzle temperature being 22°C), has been performed with consideration of nonlinear kinematic effects at the first-order level of perturbation theory (h1). The geometry and force field of 1 have been calculated by the RHF and MP2 (frozen core) methods. The effective core potential in SBK form and the optimized 31G* valence basis set have been applied in the case of Sn atom. The 6-311G** basis set have been used for carbon and hydrogen atoms. Vibrational spectra of the light and two deuterated isotopomers of 1 have been interpreted using the C _3v equilibrium molecular symmetry. For this purpose, the procedure of scaling the quantum-chemical force field by fitting the calculated frequencies to the experimental ones has been employed. The root-mean-square (RMS) vibrational amplitudes and shrinkage corrections used in the electron diffraction analysis have been calculated from the scaled quantum-chemical force field. It has been shown that flexibility of the linear fragment in 1 decreases considerably compared to that of the symmetrically substituted acetylene fragment in the (CH₃)₃SnCCSn(CH₃)₃ molecule (2). Using these data, we refined the geometrical parameters of 1 in terms of a static C _3v symmetry molecular model. The following r _h1 values have been obtained (the bond distances are given in Å and the valence angles in degrees): Sn—C_Me 2.147(7), Sn—C2.096(17), CC 1.237(11), C_Me—H (av.) 1.091(4), C_Me—Sn-C107.1(7), Sn—C_Me—H (av.) 113.4(6). The values in parentheses are experimental total errors including least-squares standard deviation values and scale uncertainties. The structural parameters of linear fragments in both ethynyl derivatives of Sn 1 and 2 are found to be virtually equal.     

Infrared spectral identification of the high-energy conformer of <Emphasis Type="Italic">gauche,Trans,trans,Trans,gauche</Emphasis>-octa-1,3,5,7-tetraene

Scaled quantum mechanical force field (SQM-FF) vibrational analyses of the gauche,Trans,trans,Trans,gauche-conformers of octa-1,3,5,7-tetraene (I) with C _i and C ₂ symmetry at the HF/6-31G//HF/6-31G computational level were used to identify the rotational isomer observed in the IR spectrum of this excited molecule in the solid state. Geometry optimizations at the MP2(FC)/aug-cc-pVDZ level show that the two non-planar structures of gTtTg-I have the terminal -CH=CH₂ moieties rotated by ∼30.6° with respect to the remainder of the nearly planar skeleton. The MP2 and HF energies of the C ₂ conformer are slightly lower than the corresponding values of the C _i conformer. A set of the experimental wavenumbers relating to the C ₂ conformer was determined by the detailed analyses of the experimental IR spectra of compounds obtained by Datta et al. via photolysis of 1,3,5-cycloterraene and bicycle[4.2,0]octa-2.4-diene. The available experimental wavenumbers correlate better with the results of our SQM-FF calculations at the HF/6-31G level for the conformer with C ₂ symmetry than for the conformer with C _i symmetry. In further support of these results, the van der Waals molecular volume of the C ₂ conformer was calculated to be somewhat smaller than the volume of the C _i conformer, suggesting that in the solid state, where the close-packing principle comes into play, the C ₂ conformer would be preferred.     

The geometry of the nitroguanyl fragment in the simplest nitroguanidine derivatives in the absence of intermolecular interactions: The gas electron diffraction data on 1,1,3,3-tetramethyl-2-nitroguanidine

The structures and force fields of the equilibrium forms of 2-nitroguanidine (1), 1,1,3,3-tetramethyl-2-nitroguanidine (2), and nitroguanyl azide (3) were determined in the MP2(full)/6-311G(3df, 2p) approximation; wagging-inversion motions of the N amine atoms were studied. The internal rotation potential function of the NO₂ group was calculated for 1. Similar functions for 1 and 2 were also obtained in the MP2(full)/6-311G(d, p) approximation. Direct one-dimensional problems for a nonrigid model were solved by the variational method, and the distribution of torsional levels was obtained. In the region of potential minimum, rotation in both molecules had the character of large-amplitude motions. For the first time, electron diffractions data were obtained at 100°C for molecule 2 without noticeable traces of substance decomposition. A structural r _e analysis was performed using the model of large-amplitude motions for characteristic NO₂ group torsional vibrations. Vibrational corrections to internuclear distances and mean amplitudes were calculated taking into account nonlinear kinematic effects using the force fields obtained in this work. The geometry of molecule 2 calculated in the MP2(full)/6-311G(3df, 2p) approximation well corresponds to the gas electron diffraction data. The parameters of molecule 2 in the crystalline phase, however, differ substantially from the parameters of the free molecule. This corresponds with the suggestion of the influence of intermolecular H-bonds involving the imine nitrogen atom and nitro groups oxygen atoms.     

A comprehensive study of the rotational energy profiles of organic systems by ab initio MO theory,forming a basis for peptide torsional parameters

Ab initio molecular orbital calculations have been carried out on over 50 model organic molecules and ions to provide the data necessary in the determination of torsional parameters for a force field involving polypeptides. The rotational energy profiles were obtained at the HF/6-31G*//HF/6-31G* level. The results were supported, in many cases, by full geometry optimizations and with consideration of correlation corrections at the MP2 level. With the exception of the dihedral angle being studied, all of the molecules were fully optimized with C₁ symmetry. © 1995 by John Wiley & Sons, Inc.     

Equilibrium structure of gas phase o-benzyne

An equilibrium structure has been derived for o-benzyne from experimental rotational constants of seven isotopomers and vibration–rotation constants calculated from MP2 (full)/6-31G(d) quadratic and cubic force fields. In the case of benzene, this method yields results that are in excellent agreement with those obtained from high quality ab initio force fields. The ab initio-calculated vibrational averaging corrections were applied to the measured A₀, B₀ and C₀ rotational constants and the resulting experimental, near-equilibrium, rotational constants were used in a least squares fit to determine the approximate equilibrium structural parameters. The C–C bond lengths for this equilibrium structure of o-benzyne are, beginning with the formal triple bond (C₁–C₂): 1.255, 1.383, 1.403 and 1.405 Å. The bond angles obtained are in good agreement with most of the recent ab initio predictions.     

Electron diffraction study of the equilibrium structure of hexamethylenetetramine involving data from quantum chemistry and vibrational spectroscopy

The equilibrium structure of the urotropine molecule is characterized by means of gas electron diffraction (GED) with the involvement of quantum chemistry and vibrational spectroscopy. A structural analysis of the GED data is performed based on the parameters of the intramolecular potential function using of the program complex SYMM/DISP/ELDIFF/LARGE. The quadratic and cubic force constants of the urotropine molecule were obtained earlier on the basis of calculations at the MP2(full)/cc-pVTZ level and assuming molecular symmetry T _d . The values of the equilibrium geometric parameters r _e of the urotropine molecule are found. The experimental structural parameters are in good agreement with those calculated at the MP2(full)/cc-pVTZ level.     

Interpreting the vibrational spectra of uracil molecules and their deuterated isotopomers using a scaled quantum-chemical quadratic force field

The quadratic force field of the uracil molecule is obtained by MP2(full) calculations using the cc-pVTZ and cc-pVQZ basis sets. Under the assumption that the most stable diketone form of the uracil molecule has a flat configuration with C _s symmetry, the available vibrational gas-phase spectra of uracil and the matrix isolation spectra of its seven N-, C-, and mixed N,C-deuterated derivatives are analyzed jointly for the first time by using Pulay??s force field scaling. Band assignments suggested earlier are corrected. It is shown that sets of 14 scaling factors allow us to reproduce the adjusted interpretation of the spectra and to obtain the most reliable quadratic force constant matrix for uracil among those available, based on joint consideration of the experimental and quantum-chemical calculation results.     

Gas-phase electron diffraction,vibrational spectroscopy,and quantum chemical studies of the molecular structure of 3,3-dimethyl-3-silathiane

The 3,3-dimethyl-3-silathiane molecule was studied by gas-phase electron diffraction and vibrational spectroscopy. The initial geometrical parameters and the force field were calculated by the B3LYP/6-311+G** method; the vibrational amplitudes of atomic pairs and vibrational corrections were calculated using the scaled B3LYP/6-311+G** force field. The molecular conformation was found to be a distorted chair with structural parameters close to the expected ones.     

Simulation and interpretation of the vibrational spectra of heterofullerenes

This paper reports on a computer simulation of the vibrational spectra of C₅₉B, C₅₉N, C₅₉BN, and C₅₉HN. The modes whose frequencies are most sensitive to carbon substitution by heteroatoms are revealed. It is shown that the new bands at 818, 839, and 845 cm⁻¹ in the experimental IR spectrum of C₅₉HN arise from changes in selection rules and by removal of degeneracies due to a reduction in the symmetry of the molecule and force field perturbation. In the Raman spectrum of C₅₉HN, the shifts of the 1460 and 491 cm⁻¹ bands to the low-frequency region by 7 and 3 cm⁻¹, respectively, relative to two A_g modes of C₆₀ are explained by the perturbation induced by the N and C(H) atoms in the force field of adjacent CC bonds not containing these atoms. Institute of Spectroscopy, Russian Academy of Sciences (Troitsk, Moscow Region). Scientific and Production Association “Complex.” Scientific and Production Association “Tekhon.” Translated fromZhurnal Strukturnoi Khimii, Vol. 39, No. 3, pp. 401–411, May–June, 1998.     

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.     

Equilibrium structure and vibrational frequencies of the O4 molecule

SCF closed shell calculations were performed to determine the equilibrium structure and vibrational frequencies of the O₄ molecule by means of Payne's method and with the help of the molecule's symmetry coordinates. The equilibrium geometry corresponds to symmetry group D_2d with R = 1.505 Å and h = 0.094 Å. The vibrational frequencies are: ν₅(E) = 885.5 cm^?1, ν₃(B₁) = 1051.9 cm^?1, ν₁(A₁) = 1018.3 cm^?1, ν₄(B₂) = 880.3 cm^?1. The second vibrational coordinate (A₁) corresponds to a double-well potential. The first vibrational levels were calculated by a variational method.     

A rotation–torsion vibronic band contour program

A Fortran-77 computer program has been written which calculates the rotation–torsion profile of a vibronic transition using an asymmetric top/free internal rotor Hamiltonian. The program is applicable to any molecule that is composed of a frame portion of C_2v symmetry a free rotor portion of C_3v symmetry. Rotation–torsion bands of A-, B-, and C-type contours may be calculated within an assumed Boltzmann distribution of rotation–torsion level populations or within a specified non-Boltzmann distribution of torsional level populations.     

Synthesis, Structure, and 31P NMR of Sulfur/Oxygen-Bridged Incomplete Cubane-Type Molybdenum and Tungsten Clusters with Triphenylphosphine Ligands

Sulfur/oxygen-bridged incomplete cubane-type triphenylphosphine molybdenum and tungsten-clusters [Mo₃S₄Cl₄(H₂O)₂(PPh₃)₃]·3THF (1A), [Mo₃S₄Cl₄(H₂O)₂(PPh₃)₃]·2THF (2A), [Mo₃OS₃Cl₄(H₂O)₂(PPh₃)₃]·2THF (1B), and [W₃S₄Cl₄(H₂O)₂(PPh₃)₃]·2THF (1C) were prepared from the corresponding aqua clusters and PPh₃ in THF/MeOH. On recrystallization from THF, procedures with and without addition of hexane to the solution gave 1A and 2A, respectively, while the procedures gave no effect on the formation of 1B and 1C. Crystallographic results obtained are as follows: 1A: monoclinic, P2₁/n, a=17.141(4) Å, b=22.579(5) Å, c=19.069(4) Å, =96.18(2)°, V=7337(3) ų, Z=4, R(R _w)=0.078(0.102); 1C: monoclinic, P2 ₁/c, a=12.635(1) Å, b=20.216(4) Å, c=27.815(3) Å, =96.16(1)°, V=7062(2) ų, Z=4, R(R _w)=0.071(0.083). If the phenyl groups are ignored, the molecule [Mo₃S₄Cl₄(H₂O)₂(PPh₃)₃] in 2A has idealized CS symmetry with the mirror plane perpendicular to the plane determined by the metal atoms, while the molecule in 1A does not have the symmetry. The tungsten compound 1C is isomorphous with the molybdenum compound 2A. ³¹P NMR spectra of 1A, 2A, and 1C were obtained and compared with similar clusters with dmpe (1,2-bis(dimethylphosphino)ethane) ligands.     

Electron spin relaxation in liquids : edited by L.T. Muus and P.W. Atkins,Plenum Press,New York, 1972, pp. xiv + 537, price £29.50

The infrared and Raman spectra of trimethylarsine sulfide, trimethylarsine selenide, and their perdeuterated analogues have been recorded. An assignment of 22 of the 24 fundamental vibrational frequencies (exclusive of the methyl torsions) has been made for each molecule. Assignments were made on the basis of symmetry selection rules and comparison with structurally similar molecules.A normal coordinate analysis for each of these molecules was carried out to reinforce the assignments. Assuming a valence force field for each molecule of C_3v symmetry, a set of 24 force constants was refined to give a least squares fit of the calculated frequencies to the observed frequencies. Calculations of the potential energy distribution for each molecule show that there exists little coupling between the different modes.     

Structures and stability of N9, N9 − and N9 + clusters

 Ab initio molecular orbital calculations for N₉, N⁻ ₉ and N⁺ ₉ isomers were carried out at the HF/ 6-31G*, B3PW91/6-31G*, B3LYP/6-31G* and MP2/ 6-31G* levels of theory. Stable equilibrium geometric structures were determined by harmonic vibrational frequency analyses at the HF/6-31G*, B3PW91/6-31G* and B3LYP/6-31G* levels of theory. The most stable free-radical N₉ cluster is structure 1 with C _{2 v} symmetry and that of anion N⁻ ₉ is structure 3 with C _s symmetry. Only one stable structure of the N⁺ ₉ cation with C _{2 v} symmetry was predicted. Their potential application as high-energy-density materials has been examined. Received: 15 June 1999 / Accepted: 11 October 1999 / Published online: 14 March 2000     

Doublet instability and the molecular structure of AlO2

The possible C_s, C_2v, and C_∞v structures of AlO₂ corresponding to the two lowest electronic states which dissociate into the neutral Al(²P) and O₂(³Σ_g^?) fragments have been investigated at the ab initio self-consistent field (SCF) and CI levels using nonempirical pseudopotentials. The most stable structure corresponds to a C_2v symmetry in the ²A₂ electronic state. However, this structure presents the three-center three-electron Hartree-Fock instability and CASSCF calculations were necessary to unequivocally characterize it as true minimum. Moreover, only another stable structure, of C_2v geometry, was found to be a minimum, corresponding to a low-lying excited state of ²A₁ symmetry. The optimized C_∞v structures were not minima on the corresponding potential energy surfaces and no evidence of any stable C_s structure was found. Calculating values are compared with the different experimental data obtained from the reaction of Al and O₂ in frozen gas inert matrices.     

A Theoretical Study of Complex Formation between Formaldehyde and Lithium

Ab initio SCF and CI calculations on the cationic and neutral complexes of formaldehyde and lithium are reported. For the cationic complex CH₂O/Li⁺, the stabilization energy of 41.7 kcal/mol obtained from the SCF calculation increases to 51.6 kcal/mol if a configuration interaction is introduced. For the neutral complex CH₂O^?/Li⁺, the C_2v-conformer of the ²A₁-state with the equilibrium bond distances of d(C? O) = 1.23 Å and d (O? Li) = 1.90 Å is calculated to be more stable than the ₂B₁-state with d (C? O) = 1.34 Å, and d (O? Li) = 1.65 Å. Charge transfer and polarization effects upon complex formation are discussed.     

The Existence of Tricyanomethane

Calcium tricyanomethanide reacts with hydrogen fluoride under formation of tricyanomethane and Ca(HF₂)₂. Tricyanomethane is stable below ?40 °C and was characterized by IR, Raman, and NMR spectroscopy. The vibrational spectra were compared to the quantum‐chemical frequencies at the PBE1PBE/6‐311G(3df,3dp) level of theory and confirm the predicted C_3v symmetry of the molecule with regular C? H (109.8 pm), C? C (146.7 pm), and C?N (114.7 pm) bonds.     

The stable form of 1, 1, 1-trifluoro-3-chloropropane molecules in the crystal II modification

The vibrational spectra of CF₃CH₂CH₂Cl in different states of aggregation is investigated and the normal coordinate analysis of trans- and gauche-conformers is carried out. The assignments in vibrational spectra for both the conformers of CF₃CH₂CH₂Cl are given. It is shown that the stable crystalline modification, crystal II, is formed by the trans-conformer of the molecule.