The computed force constants and vibrational spectra of toluene

The complete harmonic force field and dipole moment derivatives have been computed for toluene at the Hartree-Fock level using a 4-21G basis set. The six scale factors optimized for benzene were used to scale the computed harmonic force constants of toluene. The vibrational frequencies of toluene computed from this scaled quantum mechanical force field are quite good. After a correction was made to two previously proposed spectral assignments, the mean deviation from the experimental frequencies is only 7.8 cm^?1 except for the frequencies related to the methyl group. Five more scale factors for the vibrational modes of the methyl group were reoptimized. The final comparison showed an overall mean deviation of 7.5 cm^?1 between the theoretical spectrum and the experimental spectrum. Computed intensities are qualitatively in agreement with experiments. They are highly useful in the investigation of questionable assignments.     

Theoretical prediction of vibrational spectra. Scaled quantum mechanical (SQM) force field for fluorobenzene

The complete harmonic force field of fluorobenzene has been determined from ab initio Hartree-Fock calculations using the 4–21 Gaussian basis set. As force constants are systematically overestimated at this level of theory, the directly calculated force field was scaled by empirical factors taken over from benzene and methylfluoride. Except for a slight overestimation of the CF stretching frequency, the scaled quantum mechanical (SQM) force field obtained in this way reproduces the experimental fundamental frequencies of the parent molecule and two deuterated isotopomers within 20 cm⁻¹ (with mean deviations below 12 cm⁻¹), and experimental assignments are analyzed on this basis. Theoretical i.r. intensities reproduce the main features of the spectra fairly well.     

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.     

Infrared and Raman spectra and normal coordinate analysis of trans-1,2-dicyanocyclopropane and its deuterated isotopomers

Infrared and Raman spectra are presented for trans-1,2-dicyanocyclopropane and its 1,2-d₂- and 3,3-d₂-isotopomers. Most of the d₀ assignments agree with previous assignments of Strumpf and Dunker encompassing 26 of the 27 fundamentals. The 1,2-d₂ assignments are similar, but for the 3,3-d₂ species only 11 bands could be assigned. A complete ab initio quantum mechanical force field has been calculated for this molecule at the 6-31G* basis set level. This force-field was scaled and least-squares optimized using eight parameters for functionally related diagonal force constants and their geometric mean for off-diagonals. Both theoretical minimum energy and “experimentally corrected” geometries were used with no significant difference in results. An earlier calculation with a 4-31G basis set gave a similar frequency fit but different scaling factors. As an alternative approach, the scaled ab initio force field, was also used as a starting point for a more conventional refinement of 27 force constants which had a significant influence on the potential energy distribution. The remainder were fixed at the scaled ab initio values. This empirical force field resulted in a fit to 65 fundamentals of d₀, 1,2-d₂ and 3,3-d₂ to < 1% average error.     

Vibrational spectra,scaled quantum-mechanical (SQM) force field and assignments for 4H-pyran-4-one

The gas phase i.r. spectrum of 4H-pyran-4-one (hereafter called γ-pyrone) has been recorded in the 4000-400 cm⁻¹ region by a Nicolet 7199 FTIR spectrometer and interpreted using a general valence force field calculated quantum mechanically at the ab initio level with a split-valence 4–21 basis. Assignment of certain fundamentals was facilitated by information gained from the i.r. and Raman spectra of the melt and from the i.r. spectrum of the saturated solution in CCl₄.To account for systematic computational errors, the theoretical ab initio force field was scaled using a set of constants derived by the empirical fitting of force fields computed for related molecules to their observed spectra. Either the scale factors derived for a family of open-chain molecules or, better, for benzene could be used to yield a scaled force field which gave unequivocal assignments for γ-pyrone. The method promises to be of general applicability for molecules of this complexity.     

An in-plane force field for some benzene derivatives having unsaturated substituents

A simplified in-plane overlay valence force field has been developed for some benzene derivatives that have unsaturated substituents. The molecules used in the optimization of the force constants are benzene, styrene, benzaldehyde, ethynylbenzene and m- and p-diethynylbenzene. The force field comprises 57 force constants, out of which 33 have been transferred from our other overlay calculations and 24 are optimized on about 600 experimental frequencies, giving an rms frequency deviation of 10.5 cm⁻¹ which includes the CH stretching vibrations. Some revisions in the assignments have been made. For comparison a fully independent overlay force field has been optimized for some methyl substituted benzenes using the same approximations in the force field. The transferability of force constants and limitations of the transferability are discussed.     

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.     

Vibrational spectra and analysis of Te4+6, a trigonal-prismatic cluster cation

Raman and infrared spectra have been recorded on a number of compounds of the Te⁴⁺₆ cation, and assignments have been made on the basis of a trigonal-prismatic geometry with D_3h symmetry. A vibrational analysis has been carried out using a modified valence force field, giving TeTe stretching force constants of 1.13 and 0.93/0.64 mdyn Å⁻¹ for the two non-equivalent bonds of the trigonal prism. Comparisons are made with data for other species which have TeTe bonds. The force constants for Te⁴⁺₆ are consistent with the bonding models that have been proposed for this species.     

Scaled quantum mechanical (SQM) force field and theoretical vibrational spectrum for benzonitrile

The complete harmonic force field of benzonitrile has been determined by ab initio Hartree—Fock calculations using a 4–21 Gaussian basis set. As force constants are systematically over-estimated at this level, the directly calculated force field was scaled by empirical factors previously optimized for benzene and HCN. Frequencies calculated from this scaled quantum mechanical (SQM) force field confirm the published experimental assignments for benzonitrile, benzonitrile-p-d and benzonitrile-d₅. Aside from the CH (and CD) stretching frequencies, which are strongly affected by anharmonicity, the mean deviation between the observed and calculated frequencies is below 9 cm⁻¹ for each isotopomer. Theoretical i.r. intensities reproduce the main features of the spectra semiquantitatively.     

Theoretical prediction of vibrational spectra: the harmonic force field and the vibrational spectrum of 4-methylpyridine

The geometry, complete harmonic force field and dipole moment derivatives have been computed for 4-methylpyridine at the Hartree-Fock level using a 4-21 basis set of Gaussian orbitals. A set of eleven scale factors, six of which were previously derived from benzene and the other five for the vibrational motions of the methyl group from toluene by fitting their computed force fields to their observed vibrational spectra, was used to scale the computed harmonic force constants of 4-methylpyridine. The vibrational frequencies and the associated infrared absorption intensities of 4-methyl -pyridine were then predicted from this scaled force field without any fitting to the experimental data of 4-methylpyridine. Comparison with experimental spectra permitted a few corrections to be made in previous experimental or semiempirical assignments. The mean-deviations between experimental and predicted frequencies was only 5.6 cm^-1 for the non-CH stretching frequencies or 8.3 cm^-1 overall. Computed intensities are qualitatively m agreement with experiment. The optimization of scale factors for the five methyl vibrational motions produced a trivial improvement in the fit.     

Infrared spectra and normal coordinate analysis of bis(ethylenediamine) and bis(trimethylenediamine) complexes with copper(II)

The i.r. spectra of bis(ethylenediamine) and bis(trimethylenediamine) complexes of Cu(II) have been measured in the wave number region of 4000-250 cm⁻¹. Vibrational assignments have been made regarding the individual rings in both complexes. A normal coordinate analysis was performed using a modified general valence force field in order to check the empirical assignments. The agreement between the observed and calculated frequencies is satisfactory in view of the approximation used. A set of reliable force constants concerning most of the in-plane normal modes is obtained for the first time.     

Spectroscopic studies of lewis acid—base complexes: IV. An infrared study of oriented single crystals and normal coordinate analyses of trimethylamine—boron halide adducts

A total of 19 isotopic species of various (CH₃)₃NBX₃ complexes have been prepared and their IR spectra studied in the solid state in the region 40–4000 cm^?1. The isotopes involved are deuterium, boron-10, boron-11, and nitrogen-15 with X = F, CI, Br and I. C_3v symmetry has been preserved in all cases. Symmetry classifications of the fundamental molecular frequencies have been derived from polarized IR measurements on oriented single crystals in the range 250–4000 cm^?1. Errors and inconsistencies in previous studies have been resolved and revised vibrational assignments are proposed on the basis of the new data. Normal coordinate analyses have been carried out utilizing symmetry compliance constants without the assumption of point mass methyl groups. A common potential function containing 22 parameters for the A₁ class and 26 for the E class was utilized. The results support the proposed frequency assignments. B-N force constants obtained by inversion of the compliance matrices vary systematically from the chloro to the iodo complex. However, the B-N force constant for the fluoro complex falls between that for the chloro and bromo species; no systematic trend appears for the B-N compliance constants.     

Vibrational analysis of tertiary alkyl bromides

Infrared spectra have been obtained for 2-bromo-2-methylpentane and 3-bromo-3-methylpentane. Both compounds exist in T_HHH and T_CHH conformations. Normal coordinate calculations were made for these two compounds and for 2-bromo-2-methylbutane, using the 44-parameter modified valence force field that was used for tertiary chlorides. Fifteen force constants were adjusted to fit 169 frequencies below 1500 cm^?1 of six molecules (two each for the three named compounds) with an average error of 5.6 cm^?1. Vibrational assignments are presented.     

Normal coordinate analysis of trans-stilbene and tolane

The vibrational frequencies and modes of trans-stilbene and tolane have been calculated using a simplified overlay valence force field previously developed for a series of smaller conjugated molecules. The force constants have been directly transferred assuming that the large molecules can be regarded as weakly coupled systems. Several unexpected changes in frequencies and modes on isotopic substitution are discussed, the most interesting ones occurring in the Raman spectrum of α,α′-¹³C substituted trans-stilbene. On the basis of the calculations many revisions in the assignments have been made. The rms frequency deviations are 8.0 cm⁻¹ and 6.9 cm⁻¹ for trans-stilbene and tolane, respectively.     

Vibrational spectra and normal coordinate calculations for dimethyltelluride-d0, -d6 and dimethyltellurium difluoride-d0, -d6

The i.r. (4000-30 cm⁻¹) and Raman (4000-O cm⁻¹) spectra of dimethyltelluride, dimethyltellurium difluoride and their deuterated analogs have been obtained. All the active fundamentals of these compounds except methyl torsions were assigned, assuming a C_2υ molecular symmetry for both the tellurides. Normal coordinate calculations have been made in order to confirm the proposed assignments. The skeletal bond strength of the tellurides together with that of TeF₄ are discussed, using the valence stretching force constants.     

The Raman and IR spectra and normal coordinate analysis of 3-(N-phenylacetylamino)-2,6-piperidinedione,Antineoplaston A10, the new antitumour drug

The Raman and IR spectra of 3-(N-phenylacetylamino)-2,6-piperidinedione, Antineoplaston A10, the new antitumour drug and its N,N-dideuterated derivative have been recorded in the range 4000-30 cm⁻¹. Vibrational assignments are given and are supported by normal coordinate calculations based on a general valence force field. The interaction force constants were transferred intact from the scaled ab initio force fields of structurally related molecules. The calculated frequencies are in very good agreement with the experiment. A striking similarity is noted for frequencies of the corresponding vibrations in Antineoplaston A10 and in uracil derivatives. The results obtained support previous theoretical predictions that the mechanism of action of A10 may be related to its structural and electronic resemblance with pyrimidine bases. The drug may act as their antagonist in the electrostatic interaction and hydrogen bonding formation with biological molecules.     

Metallomethanes: XIII. Vibrational spectra and force fields of cyanomercuriomethanes

Vibrational spectra with assignments and results of normal coordinate calculations for cyanomercuriomethanes CH_4−n(HgCN)_n (2 ≤ n ≤ 4) are discussed. The valence force constants of the central CHg bonds are 2.149, 1.944, and 1.798 N cm⁻¹,while those of the HgCN bonds are 2.204, 2.123, and 2.162 N cm⁻¹, for n = 2, 3 and 4, respectively. All these force constants are lower than the corresponding constants for methylmercury cyanide (2.445 and 2.379 N cm⁻¹). The overall behaviour of these force constants as a function of the degree of mercuration n is quite similar in both the cyanomercuriomethanes CH_4−n(HgCN) and methylmercuriomethanes CH_4−n(HgCH₃)_n series with the difference that there are variations in the constants at higher values in the former series. The potential energy distributions indicate that the valence vibrations of the CH, CN, and HgCN bonds are almost independent of all other vibrations, which in turn are more or less strongly coupled.     

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.