Wave functions for the methane molecule

If the potential field due to the nuclei in the methane molecule is expanded in terms of a set of spherical harmonics about the carbon nucleus, only the terms involving s, f, and higher harmonic functions differ from zero in the equilibrium configuration. Wave functions have been calculated for the equilibrium configuration, first including only the spherically symmetric s term in the potential, and secondly including both the s and the f terms. In the first calculation the complete Hartree-Fock S.C.F. wave functions were determined; in the second calculation a variation method was used to determine the best form of the wave function involving f harmonics. The resulting wave functions and electron density functions are presented and discussed

The assignment of ν2 and ν4 of SO3

Three experiments have been performed to resolve an uncertainty in the assignment of ν2 and ν4 for SO3: (i) the gas phase Raman spectrum has been measured; (ii) the infrared active combination band ν3 + ν4 has been measured; (iii) a band contour calculation has been performed taking account of the ℓ-type resonance in ν4 and a strong Coriolis resonance between ν2 and ν4. These experiments establish beyond any doubt that ν2 lies at about 497.5 cm−1 and ν4 lies at about 530.2 cm−1. The contour calculation also shows that the Coriolis resonance gives rise to a positive intensity perturbation.

Vibration-rotation spectra and the harmonic force field of HOCl

Vibration-rotation spectra of HOCl have been measured at a resolution of 0.05 cm−1 to determine vibration rotation constants, and 35–37 Cl isotope shifts in the vibration frequencies. The spectrum of DOCl has also been recorded, and a preliminary analysis for the band origins has been made. The vibrational frequency data and centrifugal distortion constants have been used to determine the harmonic force field in a least-squares refinement; the force field obtained also gives a good fit to data on the vibrational contributions to the inertial defect. The equilibrium rotational constants of HOCl have been obtained, and an equilibrium structure has been estimated.

An anharmonic force field for SO3

An anharmonic force field for SO3 based on the valence force model has been investigated. The results of extending the model to include some further estimated cubic interaction potential constants have also been investigated. The phenomenological parameters calculated from both model force fields agree with those few values which have been experimentally determined. A calculation of the inertia defect has been made, and thus the value of C0 has been determined. The equilibrium structure has been determined to be: re = 1.4184 ± 0.0010 Å.

Vibrational overtone spectra of monofluoroacetylene: a preliminary report

High-resolution infrared and near-infrared spectra have been observed for more than 80 overtone bands of the HCCF molecule, including two CH stretching overtones in the visible region. Many of these have been analysed, and many more are in the course of analysis and will be reported later. All fundamentals have now been rotationally analysed and the equilibrium rotational constant determined. These data provide a testing ground for anharmonic force-field analyses, and they are discussed briefly in this connection.

Vibrationally mediated photodissociation of nitrous acid

Hitherto unobserved overtone and combination bands of nitrous acid have been investigated by Fourier-transform infrared absorption spectroscopy and through the resonance enhancements they provide in the two-photon excition spectrum for forming OH(X) photofragments. Analysis of the band profiles associated with the second and third O—H stretching overtones of trans-HONO, and of the energy disposal into the OH(X) fragments resulting from two-photon dissociation mediated by these overtone levels, provide some clues as to the mechanism for intramolecular vibrational energy redistribution (IVR) within these vibrationally excited molecules. The work serves to highlight further the extreme sensitivity of vibrationally mediated photodissociation (VMP) as a means of revealing weak O—H stretching overtones, even in situations (as here) where the species of interest is but a minor constituent of an equilibrium mixture.

Vibration-rotation bands of diazomethane

Some absorption bands of diazomethane vapour between 1950-3500 cm-1 have been measured with very high resolving power. The rotational structure of two parallel bands and of one perpendicular band has been resolved, and approximate values have been determined for the rotational constants. The results are consistent with the geometrical structure usually accepted for this molecule. A peculiarity in the results for the band near 2100 cm-1, together with other facts, leads to the suggestion that a tautomeric form of this molecule exists, HCN=NH, being an isoelectronic analogue of hydrazoic acid.

Nitrous acid: vibrational frequency shifts due to 15N substitution, and the harmonic force field

Vibration rotation spectra of HO15 NO and DO15 NO have been measured at a resolution of 0•04 cm-1 to determine the isotopic shifts in the vibrational band origins. These have been used together with recently determined data on the vibrational band origins, Coriolis constants, and centrifugal distorition constants, to determine the harmonic force field of both cis and trans nitrous acid in least squares refinement calculations. The results are discussed in relation to recent ab initio calculations, the inertia defects, and the torsional potential function.

C–H local modes in cyclobutene. II. Laser photoacoustic studies 10 000–17 000 cm−1. Vibrational structure and C–H local mode dynamics

In part I of this study [Baggott, Clase, and Mills, Spectrochim. Acta Part A 42, 319 (1986)] we presented FTIR spectra of gas phase cyclobutene and modeled the v=1–3 stretching states of both olefinic and methylenic C–H bonds in terms of a local mode model. In this paper we present some improvements to our original model and make use of recently derived ‘‘x,K relations’’ to find the equivalent normal mode descriptions. The use of both the local mode and normal mode approaches to modeling the vibrational structure is described in some detail. We present evidence for Fermi resonance interactions between the methylenic C–H stretch overtones and ring C–C stretch vibrations, revealed in laser photoacoustic spectra in the v=4–6 region. An approximate model vibrational Hamiltonian is proposed to explain the observed structure and is used to calculate the dynamics of the C–H stretch local mode decay resulting from interaction with lower frequency ring modes. The implications of our experimental and theoretical studies for mode‐selective photochemistry are discussed briefly.

C---H local modes in cyclobutene, part I: FTIR studies, 600 to 10000 cm–1

The vibrational structure of C---H stretching states in gas-phase cyclobutene was studied using FTIR spectroscopy in the range 700–9000 cm−1. The structure was modelled using two effective vibrational Hamiltonians, one for each type of C---H bond present, consisting of local mode basis functions subject to coupling with symmetrically equivalent bonds and to Fermi resonances with suitable low frequency vibrations. Best-fit model parameters were determined using least-squares routines and the model predictions are compared to the observed band positions and intensities. Some discussion is given of the relevance of the observed couplings to intramolecular vibrational redistribution (IVR) which results in the observation of statistical behaviour in cyclobutene isomerization induced by excitation of C---H stretching overtones in the visible region.

Carbon suboxide: the infrared spectrum from 1800 to 2600 cm-1

The infrared spectrum of carbon suboxide has been recorded from 1800 to 2600 cm−1 at a resolution of 0.003 cm−1. About 7% of the ca. 40 000 lines observed have been assigned and analyzed, belonging to 36 different bands. Most of these are associated with the fundamental ν3, at 2289.80 cm−1, and the combination band ν2 + ν4, at 2386.61 cm−1, each of which give rise to a system of sum bands, difference bands, and hot bands involving the low-wave-number fundamental ν7 at 18 cm−1. A few other tentative assignments are made. The bands have been analyzed for vibrational and rotational constants.

High resolution photoacoustic overtone spectroscopy of monofluoroacetylene, HCCF, with a titanium:sapphire ring laser

Intracavity photoacoustic overtone spectrum of monofluoroacetylene, HCCF, has been recorded in the wave number region 10 750–14 500 cm−1 with a titanium:sapphire ring laser. The spectrum contains many dense vibration–rotation band systems which can be resolved with Doppler limited resolution. Altogether 58 individual overtone bands have been analyzed rotationally. Many of the observed bands show perturbations of which some have been attributed to anharmonic resonance interactions. A Fermi resonance model based on conventional rectilinear normal coordinate theory has been used to assign vibrationally bands from this work and from earlier studies. Many of the observed vibrational term values and rotational constants can be reproduced well with this model. The results show the importance of the Fermi resonance interactions at the high overtone excitations.

Second order Coriolis resonance in the v2, v5 Raman bands of CH3F

The vibration-rotation Raman spectrum of the ν2 and ν5 fundamentals of CH3F is reported, from 1320 to 1640 cm−1, with a resolution of about 0.3 cm−1. The Coriolis resonance between the two bands leads to many perturbation-allowed transitions. Where the resonance is still sufficiently weak that the quantum number K′ retains its meaning, perturbation-allowed transitions are observed for all values of ΔK from +4 to −4; in regions of strong resonance, however, we can only say that the observed transitions obey the selection rule Δ(k−l) = 0 or ±3. The spectrum has been analyzed by band contour simulation using a computer program based on exact diagonalization of the Hamiltonian within the ν2, ν5 vibrational levels, and improved vibration-rotation constants for these bands are reported. The relative magnitudes and relative sings of polarizability derivatives involved in these vibrations are also reported.

The infra-red spectra of silyl fluoride and silyl fluoride-d3

Infra-red spectra have been recorded for silyl fluoride and silyl fluoride-d3 at a resolution of circa 0·3 cm-1. Rotational structure has been observed for parallel fundamentals in both molecules, and for all perpendicular fundamentals. In both SiH3F and SiD3F the A1 and E species deformation modes interact strongly via a Coriolis perturbation; this has been analysed, and the band origin of v5 for SiH3F is reassigned. A hybrid-orbital force field based on the experimental data is also reported.

Vibration-rotation spectra of nitrous acid, HONO

High-resolution Fourier-transform infrared spectra have been recorded and analyzed for the nu4, nu5, and nu6 fundamental bands of trans-HONO, and for the nu4 fundamental of cis-HONO. The spectral resolution was better than 0.01/cm, and the rotational structure has been analyzed to give improved ground-state and excited-state rotational constants, with a standard deviation of the fit to the observed line positions of around 0.0006/cm. Two Coriolis interactions have been analyzed between the nu5 and nu6 bands of trans-HONO.