Application of THz Vibrational Spectroscopy to Molecular Characterization and the Theoretical Fundamentals: An Illustration Using Saccharide Molecules

This work illustrates several theoretical fundamentals for the application of THz vibrational spectroscopy to molecular characterization in the solid state using two different types of saccharide systems as examples. Four subjects have been specifically addressed: (1) the qualitative differences in the molecular vibrational signatures monitored by THz and mid‐IR vibrational spectroscopy; (2) the selection rules for THz vibrational spectroscopy as applied to crystalline and amorphous systems; (3) a normal mode simulation, using α‐l ‐xylose as an example; and (4) a rigorous mode analysis to quantify the percentage contributions of the intermolecular and intramolecular vibrations to the normal mode of interest.     

Vibrational assignment and analysis for 2,3-dihydrofuran and 2,5-dihydrofuran

The vibrational spectra of 2,3-dihydrofuran and 2,5-dihydrofuran have been recorded using IR and Raman spectroscopy for the gas, liquid and solid states. A vibrational assignment consisting of a nearly complete set of vapor phase wavenumbers is proposed for both molecules based on the observed spectra and normal coordinate analyses. The normal coordinate analyses have been made by scaling the AM1 force field for each molecule with scale factors transferred from an analysis of the cyclopentene fundamental vibrations. The predicted a priori vibrational frequencies justify one reassignment of the fundamentals for 2,5-dihydrofuran from that previously reported. The vibrational assignment for 2,3-dihydrofuran is reported for the first time. Thermodynamic functions are computed for each molecule using the experimentally determined vibrational frequencies.     

Force fields for benzoylchloride—I. Vibrational assignments of nonplanar modes revisited

Non-planar force field calculations for benzoyl chloride have been carried out using the earlier reported data of Condit et al. [Appl. Spectrosc. 28, 420 (1974)]. A 16 force constants field has been uniquely determined using the observed fundamentals of the normal and deuterated species. It has been found that the earlier proposed vibrational assignments for some of the frequencies need to be altered. Moreover, the magnitudes of some of the fundamentals have also been altered.     

Vibrational spectra and normal co-ordinate analysis of 2-aminopyridine and 2-amino picoline

The Fourier transform infrared (FT-IR) and Raman (FT-R) spectra of 2-aminopyridine and 2-amino picoline were recorded and the observed frequencies were assigned to various modes of vibration in terms of fundamentals by assuming Cs point group symmetry. A normal co-ordinate analysis was also carried out for the proper assignment of the vibrational frequencies using simple valence force field. A complete vibrational analysis is presented here for the molecules and the results are briefly discussed.     

Experimental and theoretical studies of the vibrational spectra of cis-1-bromo-2-fluoroethene

The gas-phase infrared spectrum of cis-1-bromo-2-fluoroethene has been studied at low resolution in the range 200-6500 cm(-1), leading to a complete assignment of the fundamentals, except the lowest vibrational mode nu9 predicted at 167 cm(-1). The remaining vibrational structure has been mainly interpreted in terms of first overtone or two quanta combination bands. Isotopic (79/91)Br shift has been observed only in the nu8 fundamental. The equilibrium structure and the quadratic force field have been investigated theoretically at CCSD(T) level of theory employing Dunning's correlation consistent triple-zeta basis set. Cubic and semidiagonal quartic force field have been calculated using second-order M?ller-Plesset perturbation theory and Ahlrich' split valence (SV) contracted basis set. After a minor scaled quantum mechanical (SQM) adjustment of the quadratic force constants, the vibrational analysis, based on the second-order perturbation theory, has been carried out with the calculated force constants.     

Fourier transform infrared and Raman spectral assignments and analysis of 7-amino-4-trifluoromethylcoumarin

FTIR and FT-Raman spectra of 7-amino-4-trifluoromethylcoumarin (ATMC) have been recorded in the range 4000-400 and 3500-100 cm(-1), respectively, using Bruker IFS 66 V spectrometer. A detailed vibrational analysis has been carried out and assignments of the observed fundamental bands have been proposed on the basis of peak positions, relative intensities, fundamentals, overtones and combination bands. With hope of providing more and effective information on the fundamental vibrations, a normal co-ordinate analysis has been performed by assuming C(S) point group symmetry. The simple valance force field (SVFF) has been employed in normal co-ordinate analysis and to calculate the potential energy distribution (PED) for each fundamental vibration are reported. The PED contribution to each of the observed frequencies shows the reliability and precision of the spectral analysis.     

Vibrational fundamentals and natural bond orbitals analysis of some tri-fluorinated benzonitriles in ground state

The theoretical IR and Raman spectra of the 2,3,4-, 2,3,6-, 2,4,5- and 3,4,5-tri-fluorobenzonitrile molecules have been calculated by using the density functional method in the ground state. The rigorous normal coordinate analyses based upon both an empirical force field and quantum chemical calculations have been performed and the detailed vibrational assignment has been made on the basis of the calculated potential energy distributions (PEDs). A comparison of molecular geometries, atomic charges and vibrational fundamentals of these molecules has been reported. The effects of fluorination upon the geometries, atomic charges and vibrational frequencies of benzonitrile have been discussed. Several ambiguities and contradictions in the previously reported vibrational assignments have been clarified. In addition, the variation of Raman intensity with excitation frequency and with temperature has also been studied.     

Vibrational spectra of cyanosubstituted cyclopropanes—III. Cyanocyclopropane and cyanocyclopropane-1-d1

The vibrational spectra of cyanocyclopropane have been reinvestigated with the gas phase i.r. spectrum reported for the first time. The i.r. spectra of cyanocyclopropane-1-d₁ have been measured from 4000 to 200 cm⁻¹ in the liquid and the gaseous phases and from 4000 to 400 cm⁻¹ in the polycrystalline state. Raman spectra of the liquid down to 50 cm⁻¹ were obtained. A vibrational assignment of all fundamentals is proposed. With the present data, we had to reassign several fundamentals published in the literature.     

Harmonic and anharmonic features of IR and NIR absorption and VCD spectra of chiral 4-X-[2.2]paracyclophanes

The vibrational absorption spectra and vibrational circular dichroism (VCD) spectra of both enantiomers of 4-X-[2.2]paracyclophanes (X = COOCD3, Cl, I) have been recorded for a few regions in the range of 900-12000 cm(-1). The analysis of the VCD spectra for the two IR regions, 900-1600 cm(-1) and 2800-3200 cm(-1), is conducted by comparing with DFT calculations of the corresponding spectra; the latter region reveals common motifs of vibrational modes for the three molecules for aliphatic CH stretching fundamentals, whereas in the mid-IR region, one is able to identify specific signatures arising from the substituent groups X. In the CH stretching region between 2900 and 2800 cm(-1), we identify and interpret a group of three IR VCD bands due to HCH bending overtone transitions in Fermi resonance with CH stretching fundamental transitions. The analysis of the NIR region between approximately 8000 and approximately 9000 cm(-1) for X = COOCD3 reveals important features of the aromatic CH stretching overtones that are of value since the aromatic CH stretching fundamentals are almost silent. The intensifying of such overtones is attributed to electrical anharmonicity terms, which are evaluated here by ab initio methods and compared with literature data.     

Scaled quantum chemical studies of the structural and vibrational spectra of acetyl coumarin

The solid phase FT-IR and FR-Raman spectra of acetyl coumarin have been recorded in the regions 4000–50 cm⁻¹. The spectra were interpreted with the aid of normal coordinate analysis following full structure optimization and force field calculations based on density functional theory (DFT) and Hartree-Fock (HF) at 6–31G* and 6–311++G** basis sets. The resulting force fields were transformed to internal coordinates, the calculated vibrational frequencies and normal modes were utilized in the assignment of the observed vibrational fundamentals. The measured spectral data were used to refine the vibrational force constants by means of a small number of scaling factors.     

Vibrational characterization of the peptide bond

This article describes the complete vibrational analysis of N,N'-dimethyloxamide, CH3HNCOCONHCH3, on basis of the infrared and Raman spectra of four isotopes (H, D, CH3, CD3). Force field calculations on the monomers and multimers (n = 5) combined with solid state spectra in the -196 to +100 degrees C temperature range have been used to obtain a better understanding of the influence of hydrogen bonding on the typical amide fundamentals. The cooperative effect in de series monomer --> multimers --> solid state at decreasing temperatures has been demonstrated. Nine typical so-called 'amide bands' have been further characterized and special attention has been given to the Amide IV mode. The influence of the CH and CD vibrations on the amide fundamentals, has been studied by comparison with the calculated and experimental fundamentals and P.E.D. values of the CH3 and CD3 isotopes. The most important amide bands have further been assigned in X-CONHCH3 molecules where X = methyl, amide, thioamide, ester, salt, cyanide and acid functional groups.     

Vibrational investigation on FT-IR and FT-Raman spectra, IR intensity, Raman activity, peak resemblance, ideal estimation, standard deviation of computed frequencies analyses and electronic structure on 3-methyl-1,2-butadiene using HF and DFT (LSDA/B3LYP/B3PW91) calculations

FT-IR and FT-Raman (4000–100 cm⁻¹) spectral measurements of 3-methyl-1,2-butadiene (3M12B) have been attempted in the present work. Ab-initio HF and DFT (LSDA/B3LYP/B3PW91) calculations have been performed giving energies, optimized structures, harmonic vibrational frequencies, IR intensities and Raman activities. Complete vibrational assignments on the observed spectra are made with vibrational frequencies obtained by HF and DFT (LSDA/B3LYP/B3PW91) at 6-31G(d,p) and 6-311G(d,p) basis sets. The results of the calculations have been used to simulate IR and Raman spectra for the molecule that showed good agreement with the observed spectra. The potential energy distribution (PED) corresponding to each of the observed frequencies are calculated which confirms the reliability and precision of the assignment and analysis of the vibrational fundamentals modes. The oscillation of vibrational frequencies of butadiene due to the couple of methyl group is also discussed. A study on the electronic properties such as HOMO and LUMO energies, were performed by time-dependent DFT (TD-DFT) approach. The calculated HOMO and LUMO energies show that charge transfer occurs within the molecule. The thermodynamic properties of the title compound at different temperatures reveal the correlations between standard heat capacities (C) standard entropies (S), and standard enthalpy changes (H).     

Molecular structure and vibrational spectra of 1,3-bis(4-pyridyl)propane by quantum chemical calculations

The experimental and theoretical study on the structures and vibrations of 1,3-bis(4-pyridyl)propane are presented. The FT-IR and Raman spectra of molecule have been measured. The optimized geometric bond lengths have been obtained by DFT show the best agreements with experimental values. The harmonic vibrational frequencies were calculated and scaled values have been compared with experimental FT-IR and FT-Raman spectra. Majority of the computed wavenumbers were found to be in good agreement with experimental observations. A complete assignment of the fundamentals was proposed based on the total energy distribution (TED) calculation.     

A vibrational study of the infrared spectrum of dibromodifluoromethane,CBr2F2

The i.r. spectrum of natural dibromodifluoromethane has been recorded at medium resolution in liquid phase and at moderately high resolution in vapor phase. A number of regions have been analysed and the vibrational and vibrational—rotational features of the observed spectral structures interpreted. The frequency values pertaining to the fundamentals of the bromine isotopic species have been either directly measured or evaluated by “difference” bands and their isotopic splitting checked by a normal coordinates calculation. Absorptions due to the minor component ¹³CBr₂F₂ have also been observed and in part assigned.     

Vibrational spectra and normal coordinate analysis of carbamoylazide

The Fourier transform Raman and infrared spectra of carbamoylazide and its deuterated derivative were recorded and the observed frequencies were assigned to various modes of vibration in terms of fundamentals and combinations by assuming C(s) point group symmetry. A normal coordinate analysis was also carried out using Simple valence force field. A complete vibrational analysis is presented here for these molecule and results are briefly discussed.     

Vibrational spectra and assignment for trans-3,4-dichlorocyclobutene. Revised assignment for the cis isomer

A complete assignment of the vibrational fundamentals of trans-3,4-dichlorocyclobutene has been derived from infrared and Raman spectra. These freq     

Si~2Cl~6分子的内旋转能垒和振动基频的理论研究

用从头算方法HF/6-31G^*^*和密度函方法B3LYP/6-31G^*^*,对Si~2Cl~6分子的平衡几何构型进行优化,优化的结果与实验结果吻合得较好.并用上述两种不同的方法计算Si~2Cl~6分子的内旋转能垒,结果分别为8.786和6.694kJ/mol,其中DFT方法的计算结果与实验结果4.18kJ/mol吻合得较好.对Si~2Cl~6分子的振动基频进行计算.用HF/6-31G^*^*SQM力场所计算的频率理论值与实验值的平均误差为7.3cm^-^1,用B3LYP/6-31G^*^*未标度的力场所计算的频率理论值与实验值的平均误差为6.0cm^-^1.该密度泛函方法(B3LYP/~6-31G^*^*)的理论计算值比用HF/6-31G^*^*标度后的SQM力场计算的频率与实验值(除Si--Si键扭转振动基频之外的11条振动基频)吻合得更好.并给出了Si--Si键扭转振动基频的预测值。     

Complete vapor phase assignment for the fundamental vibrations of furan,pyrrole and thiophene

Vibrational spectroscopic studies, including IR vapor, Raman vapor and Raman liquid spectra, have been made to obtain the complete set of fundamental vibrational frequencies in the vapor and liquid states for furan, pyrrole and thiophene. For furan, vapor values have been determined for the two previously ambiguous fundamentals, ν₁₁ and ν₁₈. Also determined is the vapor frequncy of two fundamentals of furan for which only the liquid value had been known. The fundamental vibrational frequencies of pyrrole have been completely determined in the gas and liquid states. The thiophene results confirm the assignment of Rico et al. [Spectrochim. Acta 21, 689 (1965)], although for several of the fundamental modes the vapor frequency is now measured. The Raman vapor spectra are conclusive concerning the refinements in vibrational assignment for furan and pyrrole, where virtually every binary combination band involving the out-of-plane fundamentals that yield an A₁ transition is observed. The Raman vapor results establish two significant Fermi resonances affecting fundamental vibration levels in pyrrole. Also, ¹³C and ³⁴S isotopomers are identified in the Q-branches of the Raman vapor spectra at natural abundance. A comparison of the spectroscopic and calorimetric ideal-gas thermodynamic properties is made. The differences are negligible in the region where the calorimetric data are most reliable.     

Overtone spectroscopy of butanol

Overtone spectra of CH and OH stretching vibrations in normal, secondary and tertiary butanol have been studied. A large number of combination and overtone bands, along with the fundamentals have been measured and assigned in the three cases. These data have been used to obtain the vibrational frequency, anharmonicity constant and dissociation energy for the CH and OH stretch motions in the respective molecules. Effect of dilution on the OH fundamental frequency in n-butanol causes a blue shift.     

FTIR and FT-Raman spectra, assignments, ab initio HF and DFT analysis of xanthine

The molecular vibrations of xanthine were investigated in polycrystalline sample, at room temperature by Fourier transform infrared (FTIR) and FT-Raman spectroscopies. The spectra of the molecule have been recorded in the regions 4000-50 cm(-1) and 3500-100 cm(-1), respectively. Theoretical information on the optimized geometry, harmonic vibrational frequencies, infrared and Raman intensities were obtained by means of ab initio Hartree-Fock (HF) and density functional theory (DFT) gradient calculations with complete relaxation in the potential energy surface using 6-311++G(d,p) basis set. The vibrational frequencies which were determined experimentally from the spectral data are compared with those obtained theoretically from ab initio and DFT calculations. A close agreement was achieved between the observed and calculated frequencies by refinement of the scale factors. The infrared and Raman spectra were also predicted from the calculated intensities. Thermodynamic properties like entropy, heat capacity, zero point energy have been calculated for the molecule. Unambiguous vibrational assignment of all the fundamentals was made using the potential energy distribution (PED).