Vibrational assignment, <Emphasis Type="Italic">ab initio</Emphasis> calculation and normal coordinate analysis of 2,2′-biquinoline

The vibrational wavenumbers and the fundamental modes of 2,2′-biquinoline were obtained by density functional theory (DFT) with the B3LYP functional using the 6-31G(d,p) basis set. The calculated wavenumbers were scaled by a single factor of 0.965 to correct them for vibrational anharmonicity, but the force constants were overestimated. Normal coordinate analysis of the molecule was also carried out by using the force field of the quinoline molecule and the force field parameters of quinoline are shown to be transferable to 2,2′-biquinoline. The potential energy distribution associated with the normal modes is also given. The theoretical wavenumbers are found to be in good agreement with the experimental data.     

In-plane vibrational modes of cytosine from an ab initio MO calculation

Harmonic force constants, in-plane vibrational frequencies, and in-plane vibrational modes of cytosine were calculated by an ab initio Hartree—Fock SCF MO method. The force contants were calculated by the use of an energy gardient method with the STO-3G basis set, and then they were corrected into “4-31G force constants” by the scaling factors given by us previously for the case of uracil. The corrected set of force constants can produce a calculated vibrational spectra of cytosine and cytosine-1,amino-d₃, that can be well corrected with the observed Raman and infrared spectra of these compounds, with little ambiguity. Thus, the assignments of all the in-plane vibrations are now practically established. The calculated vibrational modes, in addition, can account for the recently published resonance Raman effects of cytosine residue.     

Approximate force constant calculations for cis-L2M(CO)4 species

A new procedure based on the criterion of maximum interaction between coupled fundamental vibrational modes has been developed to solve the energy factored force field of cis-L₂M(CO)₄ species. The results for complexes containing a wide range of metal-ligand combinations are compared with the force constants obtained by the Cotton-Kraihanzel and Jernigan methods. The CO stretching frequencies of isotopically-substituted cis-I₂Fe(CO)₄ species have been calculated as a check on the method.     

Constrained force constants for octahedral molecules

A set of constrained force constants has been derived from experimental vibrational frequency data for eighty three octahedral molecules. Superimposing the condition that the larger value for f_d—f_dd′ be used when f_dα—f_dα″ is a maximum on the six equations relating vibrational frequencies to force constants generates a seventh. This provides a uniform set of results for all 83 molecules. The values of the force constants have a simple rationale in terms of chemical bonding theory. Some preliminary calculations for SF₆ show that these force constants are suitable for use in generating reliable molecular dynamical trajectory data.     

Anharmonic vibrational probe for N-methylacetamide in different micro-environments

In the present study, anharmonic vibrational properties of the amide modes in N-methylacetamide (NMA), a model molecule for peptide vibrational spectroscopy, are examined by DFT calculations. The 3N-6 normal mode frequencies, diagonal and off-diagonal anharmonicities are evaluated by means of the second order vibrational perturbation theory (VPT2). Good performance of B3LYP/6-31+G** is found for predicting vibrational frequencies in comparison with gas phase experimental data. The amide vibrational modes are assigned through potential energy distribution analysis (PED). The solvation effect on the amide vibrational modes is modeled within the PCM method. From gas phase to polar solvents, red shifts are observed for both harmonic and anharmonic vibrational frequency of amide I mode while the CO bond length increases upon the solvent polarity. Cubic and quartic force constants are further calculated to evaluate the origin of the anharmonicity for the amide I mode of NMA in different micro-environments.     

Force fields and assignments of the vibrational spectra of acridine and phenazine—an ab initio study

A complete set of force constants and their corresponding scale factors in non-redundant local coordinates were obtained by fitting the in-plane ab initio Hartree–Fock (HF) vibrational frequencies computed using 4-21G and 6-31G^** basis sets to the experimental ones. Using these force constants the potential energy distribution (PED) of the normal modes was obtained and based on the PED the earlier empirical assignments were either confirmed or reassigned for all the in-plane fundamentals. The force constants of acridine and phenazine are compared to those of anthracene to study the similarities and differences. Probable assignment is proposed for the out-of-plane fundamentals of acridine based on Durig's simple scaling of the local force constants.     

The ring puckering potential function of trimethylene sulfide and trimethylene selenide

The rotational constants A,B and C are functions of the vibrational quantum numbers for the out-of-plane bending modes of trimethylene sulfide and trimethylene selenide. Infrared and microwave spectroscopy have been used to determine the dependence between these parameters. The height and shape of the barrier arising from combination of the ring bending modes is also determined. CNDO/2 calculations are used to predict the position of the hydrogen atoms of the methylene groups in trimethylene sulfide and trimethylene selenide. The four-membered rings are non-planar for several vibrational states of the ring bending modes.     

Rate constants for the reactions of Ar+ with CO2 and SO2 as a function of temperature (300–1500 K)

We have measured the rate constants for the reactions of Ar⁺ with CO₂ and SO₂ from 300 to 1500 K in a high temperature flowing afterglow. For the reaction with CO₂, we have found that all modes of energy, i.e., translation, rotation, and vibration, affect the rate constant to the same degree up to a total energy of 0.4 eV. Above 0.4 eV total energy, internal energy decreases the rate constants more effectively than does translational energy. For the reaction of Ar⁺ with SO₂, the rate constants go through a minimum at about 900 K. By comparing our results to drift tube data, we derive rate constants for reaction from the υ=0 and υ>0 vibrational levels. At low energy, the vibrationally excited SO₂ molecules react with Ar⁺ approximately twice as fast as the ground state molecules. Both vibrational modes have similar temperature dependences.     

Superparameterization of low-temperature vibrational data for lanthanide hexahalide anions

A complete dataset is presented for the modes of vibration of LnCl³⁻₆ in Cs₂NaLnCl₆, from low temperature Raman and vibronic spectroscopy. Conventional force constant calculations with this dataset are unsatisfactory since, although the datafits are quite good, the physical significance of the derived force constant parameters is not clear in all cases. A parameterization of 30 vibrational wavenumbers at a time, comprising five datasets of six modes of vibration, enables the relative importance of the GVFF interaction force constants to be ascertained. The trans stretch—stretch force constant is about 2.5 times larger than the cis interaction constant, and the angle—angle interaction constants all have comparable magnitudes. However, the same ratios for the magnitudes of the interaction force constants fail to provide a satisfactory datafit for PrBr³⁻₆ in Cs₂NaPrBr₆. This is attributed to the stronger trans directing influence of the bromide ligand than the chloride ligand, and an increased ratio for the trans/cis stretching interaction force constant provides a more satisfactory fit. Datasets are also presented for LnF³⁻₆ and Cs₂LiLnCl₆. The nature of the cation A in Cs₂ALnCl₆ appreciably modifies the moiety mode vibrational wavenumbers.     

Valence force field calculations of trans-stilbene and some of its symmetrically deuterated isotopomers

A planar model of trans-stilbene (tSB) for modified valence force field calculations was assumed. Twenty seven force constants were used to reproduce 245 solution wave numbers for in-plane vibrations of tSB, α, α′-D₂-tSB, 2,3,4,5,6,2′,3′,4′,5′,6′-D₁₀- −tSB and D₁₂-tSB, as well as of four benzene isotopomers. The calculated force field reproduces well the ring vibrations and potential energy distribution indicates the couplings of ring and ethylenic vibrations. For a more reliable assignment vibrational data from other tSB isotopomers should be taken into account.     

Experimental and theoretical study of the rovibrational relaxation of CH4 and CD4 by Ar

Experimental results are reported for the vibrational relaxation of the lowest bending modes of CH₄ and CD₄ br Ar in the temperature range of 140–376 K. Theoretical calculations are carried out in the framework of the semiclassical coupled-states approximation using asymptotic expressions of (3j) symbols and a first-order perturbation treatment. The confrontation of experimental and theoretical rate constants confirms the crucial role of rotational energy transfer upon the vibrational relaxation transfer.     

Some remarks about the ring puckering potential function of 3-methyleneoxetane

The rotational constants A, B, C are functions from the vibrational quantum numbers for the out-of-plane ring bending vibration of 3-methyleneoxetane. Gibson and Harris [1] using microwave spectroscopy had given the dependence between quantum vibrational numbers for the out-of-plane bending mode and rotational constants.In this paper, the agreement between experimental results from the microwave measurements and theoretical ones from the CNDO/2 is analysed. The planarity for the strained four-member ring is confirmed from the information available. The position corresponding to the methylene groups is also predicted from CNDO/2 calculations.     

A vibrational molecular force field of model compounds with biological interest—III. Harmonic dynamics of α- and β-d-galactose in the crystalline state

The infrared spectra of α- and β-d-galactose were recorded, both in the mid-IR range (4000-500 cm⁻¹) and in the far-IR (500-50 cm⁻¹). The Raman spectra were also obtained. These spectra constitute the basis of a crystalline-state force field established for these two molecules through a normal coordinate analysis. A modified Urey—Bradley—Shimanouchi force field was combined with an intermolecular potential energy function which includes van der Waals interactions, electrostatic terms and an explicit hydrogen bond function. The force constants were varied, so as to obtain an agreement between the observed vibrational frequencies and the calculated ones of α-d-galactose. The force field obtained was then applied to α-d-galactose O-d5 and β-d-galactose, in order to test its transferability. The computed potential energy distribution was found to be compatible with previous assignments for d-glucose, particularly for the modes involving C6 and COH groups. For β-d-galactose the same force field was used with changing the force constants due to the C1 and C6 groups.     

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.     

Theoretical prediction of vibrational spectra. The a priori scaled quantum mechanical (SQM) force field and vibrational spectra of pyrimidine

The complete harmonic force field of pyrimidine has been computed at the ab initio Hartree—Fock level using a 4–21 Gaussian basis set. In order to compensate the systematic overestimations of the force constants at the aforementioned level of quantum mechanical approximation, the theoretical force constants were empirically scaled by using nine scale factors. (The values of all these scale factors were previously determined by fitting the theoretical force field of benzene to the observed vibrational spectra of benzene.) The resulting a priori scaled quantum mechanical (SQM) force field is regarded as the most accurate and physically the most correct harmonic force field for pyrimidine. This force field was then used to predict the vibrational spectra of pyrimidine-h₄ and pyrimidine-d₄. On the basis of these a priori vibrational spectra uncertain assignments have been confidently resolved. After a few reassignments, the mean deviations between the experimental and calculated frequencies are below 9 and 18 cm⁻¹ for the non-CH stretching in-plane and the out-of-plane vibrations, respectively. Computed IR intensities are generally in agreement with experiments at a qualitative level.     

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.     

Vibration—rotation interaction in the microwave spectrum of NaOH

The rotational transition J = 4 ← 3 of NaOH in a number of vibrational states has been studied in the 100 GHz range. The coupling between the bending and stretching vibrational modes and the contribution of higher order terms in ν₂ and l² to the energy are found stronger for NaOH than for the heavier alkali hydroxides making assignment of some of the observed lines uncertain. In spite of this difficulty careful analysis yielded larger constants for the vibration—rotation interaction. A comparison is made between properties of NaOH and the heavier alkali hydroxides.     

Vibrational spectra and structures of 1,2,4-triazole derivatives

The vibrational spectra of 1,2,4-triazole and its 3-chloro and 3-bromo derivatives were calculated for the C_S point symmetry group. The potential energy constants were computed, and it is shown that the force field of the triazole ring has the additivity property; i.e., it remains practically constant when electron-acceptor groups such as chlorine and bromine are introduced into the 3 position. The force constants of interaction of the valence and angular coordinates of the ring have high values; this is a characteristic of the considerable rigidity of the triazole ring. The fundamental frequencies in the experimental spectra were assigned on the basis of an analysis of the calculated forms of the normal vibrations.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 11, pp. 1567–1570, November, 1972.