Relations between mean amplitudes of vibration and corresponding internuclear distances : II. Bonded carbon-carbon distances

The empirical relation u(CC_bond) = −0.071856 + 0.124162 r − 0.028974 r² was established from a statistical treatment of 57 electron diffraction measurements (1.2086 r 1.549, where r is the bond distance, and u is the mean amplitude of vibration; both in Å units). The agreement between observed and calculated u values is significantly improved when compared with the corresponding treatment of bonded and non-bonded CC distances taken together.     

Relations between mean amplitudes of vibration and corresponding internuclear distances: I. bonded and nonbonded carbon-carbon distances

Mean amplitudes of vibration (u) for bonded and non-bonded CC distances from gas electron diffraction were treated statistically. The following empirical relation was established on the basis of 71 measurements u(CC) = 0.013837 + 0.023398r-0.000147r² where r is the internuclear distance in the range 1.217 ? r? 5.618 (r and u are both in Å). The experimental data come mainly from electron diffraction laboratories in U.S.A., Norway, Japan and England.     

Mean amplitudes of vibration for cyclohexene from spectroscopic data

A normal coordinate analysis is performed for cyclohexene (C₆H₁₀). The calculated frequencies for C₆H₁₀ and C₆D₁₀ are reported. The mean amplitudes of vibration for all types of interatomic distances in these two molecules were also computed. Those of the bonded distances and nonbonded C?C distances in C₆H₁₀ are compared with the corresponding data from election diffraction.     

Mean amplitudes of vibration for cyclobutane and cyclobutane-d8 from spectroscopic data

Mean amplitudes of vibration for cyclobutane and cyclobutane-d₈ are calculated on the basis of spectroscopic data. Results for the bonded distances are compared with data from electron diffraction, and a good agreement is found.     

The potential energy function for the ground state of CCl calculated from spectroscopic data

The dissociation energy (D_e= 57754±872 cm⁻¹ has been estimated for the ground state of CCl⁺ by fitting a Hulburt-Hirschfelder potential to the RKR turning points. This value of D_e has been used together with molecular constants B_e, ω_e, a_i (i= 1–6) and R_e obtained by Gruebele and co-workers to construct a potential energy function for CCl⁺ in the form of a perturbed Morse oscillator.     

Hydrogen-bonding between pyrimidine and water: a vibrational spectroscopic analysis

We present an experimental and a theoretical study on hydrogen-bonding between pyrimidine and water as the H-donor. The degree of hydrogen-bonding in this binary system varies with mixture composition. This was monitored experimentally by polarization-resolved linear Raman spectroscopy with the pyrimidine ring breathing mode nu1 as a marker band. A subsequent quantitative line shape analysis of the isotropic Raman intensity for 24 pyrimidine/water mixtures clearly revealed a splitting into three spectral components upon dilution with water. The two additional peaks have been assigned to distinct groups of hydrogen-bonded species that differ in the number of pyrimidine nitrogen atoms (N) involved in hydrogen-bonding to water hydrogen atoms (H). From the integrated Raman intensities for "free" and "hydrogen-bonded" pyrimidine, a concentration profile for these species was established. Our assignments and interpretations are supported by quantum mechanical calculations of structures and by vibrational spectra for pyrimidine and 10 pyrimidine/water complexes with increasing water content. Also, accurate structure-spectra correlations for different cluster subgroups have been determined; within each particular cluster subgroup the water content varies, and a perfect negative correlation between NH hydrogen-bond distances and nu1 wavenumbers was observed.     

Estimation of carbon-carbon bond lengths and medium-range internuclear distances by solid-state nuclear magnetic resonance.

We describe magic-angle-spinning NMR methods for the accurate determination of internuclear dipole-dipole couplings between homonuclear spins-(1/2) in the solid state. The new sequences use symmetry principles to treat the effect of magic-angle sample-rotation and resonant radio frequency fields. The pulse-sequence symmetries generate selection rules which reduce the interference of undesirable interactions and improve the robustness of the pulse sequences with respect to chemical shift anisotropies. We show that the pulse sequences may be used to estimate distances between 13C spins in organic solids, including bond lengths in systems with large chemical shift anisotropies, such as conjugated systems. For bond-length measurements, the precision of the method is +/-2 pm with a systematic overestimate of the internuclear distance by 3 +/- 1 pm. The method is expected to be a useful tool for investigating structural changes in macromolecules.     

Evaluation of CO coordination energies from spectroscopic data: on the use of vibrational isotopic effects

For molecules containing a linearly coordinated carbonyl group, relationships linking 13C and 18O isotopic effects on the CO stretching vibration to the force constant of the M-C coordination bond are proposed. These relationships are rationalized by simple considerations involving the mechanical coupling of the CO and M-C oscillators, tested on model triatomic molecules, and generalized to larger systems. Previous theoretical considerations and several examples presented here show that the long-accepted relation between the shift in the stretching frequency of the coordinated CO with respect to that of isolated CO and the coordination strength has no general predictive power. In contrast, the force constant of the coordination bond can be correlated with the coordination binding energy, and a method for empirically estimating this important parameter from spectroscopic observations of the strongly absorbing CO stretching vibrations of molecular systems or adsorbates is proposed.     

Substituted profanes: IX. Vibrational frequencies and calculated mean amplitudes for hexafluoropropanol-2

A harmonic force field was developed for CF₃CHOHCF₃ from original infrared and Raman frequencies. The force constants were used to calculate complete sets of mean amplitudes for this molecule and its deuterated species. J. Murto, A. Kivinen, R. Viitala and J. Hyömäki, Spectrochim. Acta, to be published.     

The gas-phase rotamers of 1,1,2,2-tetrafluoroethane - force field,vibrational amplitudes and geometry - a joint electron-diffraction and spectroscopic study

The gas-phase conformational mixture of the anti and gauche rotamers of 1,1,2,2-tetrafluoroethane has been subjected to an electron-diffraction study at 253 K. Effective least-squares refinement of the geometry and relative proportions of the conformers was achieved with vibrational amplitudes for both conformers fixed at values calculated from spectroscopic data. In order to calculate the amplitudes, a force field was deduced which reproduced the observed wave numbers for both conformers; the assignment of the modes proposed in the literature was modified slightly. At 253 K, the rotamer composition was found to be 84% anti : 16%gauche, which corresponds to an energy difference of 1170 cal mol^?1; the geometrical parameters (r_a values) and e.s.d. are C-C = 1.518 ± 0.005 Å, C-H = 1.098 ± 0.006 Å, C-F = 1.350 ± 0.002 Å. ∠CCF = 108.2 ± 0.3°, ∠FCF = 107.3 ± 0-3°, ∠ CCH = 110.3 ± 1.0δ, and the torsion angleτ _hcch in the gauche form is 78 ± 2°.     

Conformational analysis of 2-oxo(thio)-1,3,2-dioxaphosphorinanes with a P-H bond from vibrational spectroscopic data

The steric structure of four 2-hydro-2-oxo(thio)-1,3,2-dioxaphosphorinane (DOP) molecules has been studied by means of Raman and IR spectroscopy. A characteristic feature of these compounds is the presence of a hydrogen atom as a "light" exocyclic substituent whose vibration is not mixed with the vibrations of the molecular skeleton.A. E. Arbuzov Institute of Organic and Physical Chemistry, Kazan Scientific Center, Russian Academy of Sciences, 420083 Kazan, Tatarstan, Russia. Translated fromIzvestiya Akademii Nauk, Seriya Khimicheskaya, No. 12, pp. 2725–2730, December, 1992.     

Molecular structure of bismuth trichloride from combined electron diffraction and vibrational spectroscopic study

The results of an electron diffraction reanalysis, augmented with a combined electron diffraction and vibrational spectroscopic elucidation, of the molecular structure of BiCl₃ are reported. The principal parameters arer _g (Bi-Cl)=2.424±0.005 å (r =2.417±0.005 å) and <Cl-Bi-Cl=97.5±0.2. They are in excellent agreement with previous electron diffraction analysis [1], utilizing a more limited data range from the same experiment. They are also fully consistent with the expected trends of geometrical variation in the Group V trihalide series. The force fields of BiCl₃, determined by normal coordinate analysis and by combined analysis, agree within experimental error.     

Rietveld refinement and vibrational spectroscopic study of alunite from el Gnater, central Tunisia

The crystal structure of alunite (K_0.72,Na_0.28) Al₃(SO₄)₂(OH)₆ from El Gnater, central Tunisia, is refined by the Rietveld method. Raman and infrared data of this mineral are also given in order to provide some further information about the mineralogy and chemistry of this alunite. The crystal system is trigonal, space group R $ \bar 3 The crystal structure of alunite (K_0.72,Na_0.28) Al₃(SO₄)₂(OH)₆ from El Gnater, central Tunisia, is refined by the Rietveld method. Raman and infrared data of this mineral are also given in order to provide some further information about the mineralogy and chemistry of this alunite. The crystal system is trigonal, space group R m, with a = 6.9834(4) ? and c = 17.0899(11) ?. Final Rietveld refinement converges to R _p = 0.16, R _wp = 0.16, and R _Bragg = 0.07. In the alkalic site, the occupancy of potassium and sodium is refined to 72 and 28%, respectively. The Raman and infrared spectra are investigated in order to improve previous assignments of the observed frequencies, especially for tetrahedral and octahedral vibration and OH group, which are discussed on the basis of unit-cell group analysis and by comparison with previously observed wavenumbers of natrojarosite and synthetic alunite. The text was submitted by the authors in English.     

Oxygen-containing functional groups on single-wall carbon nanotubes: NEXAFS and vibrational spectroscopic studies.

Single-walled nanotubes (SWNTs) produced by plasma laser vaporization (PLV) and containing oxidized surface functional groups have been studied for the first time with NEXAFS. Comparisons are made to SWNTs made by catalytic synthesis over Fe particles in high-pressure CO, called HiPco material. The results indicate that the acid purification and cutting of single-walled nanotubes with either HNO3/H2SO4 or H2O2/H2SO4 mixtures produces the oxidized groups (O/C = 5.5-6.7%), which exhibit both pi*(CO) and sigma*(CO) C K-edge NEXAFS resonances. This indicates that both carbonyl (C=O) and ether C-O-C functionalities are present. Upon heating in a vacuum to 500-600 K, the pi*(CO) resonances are observed to decrease in intensity; on heating to 1073 K, the sigma*(CO) resonances disappear as the C-O-C functional groups are decomposed. Raman spectral measurements indicate that the basic tubular structure of the SWNTs is not perturbed by heating to 1073 K, based on the invariance of the ring breathing modes upon heating. The NEXAFS studies agree well with infrared studies which show that carboxylic acid groups are thermally destroyed first, followed by the more difficult destruction of ether and quinone groups. Single-walled nanotubes produced by the HiPco process, and not treated with oxidizing acids, exhibit an O/C ratio of 1.9% and do not exhibit either pi*(CO) or sigma*(CO) resonances at the detection limit of NEXAFS. It is shown that heating (to 1073 K) of the PLV-SWNTs containing the functional groups produces C K-edge NEXAFS spectra very similar to those seen for the HiPco material. The NEXAFS spectra are calibrated against spectra measured for a number of fused-ring aromatic hydrocarbon molecules containing various types of oxidized functional groups present on the oxidized SWNTs.