The microwave spectrum,harmonic force field,and structure of difluorodichloromethane

Very large numbers of rotational transitions have been accurately measured for ¹²CF₂³⁵Cl₂, ¹²CF₂³⁵Cl³⁷Cl, and ¹³CF₂³⁵Cl₂, and have been analyzed for rotational constants and quartic centrifugal distortion constants. The distortion constants have been combined with vibrational wavenumbers (both from the literature and from the present work), and with ab initio force constants also evaluated in the present work, to give an approximate harmonic force field. The rotational constants and force field have been used to evaluate ground state effective, substitution, and ground state average structures for the molecule.     

The microwave spectrum,harmonic force field,and structure of formyl chloride

Extensive measurements were made of the microwave spectra of nine isotopic species of formyl chloride, HCOCl. Analysis of these spectra gave accurate rotational constants, chlorine nuclear quadrupole coupling constants, and centrifugal distortion constants. The distortion constants, together with the vibrational wavenumbers, were used to evaluate a valence harmonic force field. Effective, substitution, ground-state average, and estimated equilibrium structures are presented.     

The microwave spectrum,harmonic force field,and structure of carbonyl chlorofluoride,OCCIF

Rotational spectra of three isotopic species of carbonyl chlorofluoride, OCCIF, have been extensively measured, and have been analyzed for rotational constants, quartic centrifugal distortion constants, and chlorine nuclear quadrupole coupling constants. Ab initio calculations of the harmonic force field have been made using several different sets of basis functions, and their relative cost efficiency has been assessed. The measured distortion constants have been combined with vibrational wavenumbers (both from the literature and from the present work) and with the ab initio force constants to refine the force field. Ground state effective (r₀) and average (r_z) structures have been evaluated for the molecule.     

The microwave spectrum,harmonic force field,and ground state average structure of 1,1-dichloroethylene

The microwave spectra of several isotopic species of 1,1-dichloroethylene have been measured up to high J values and have been analyzed for rotational constants and quartic centrifugal distortion constants. An approximate harmonic force field for the molecule has been obtained by combining the centrifugal distortion constants with known vibrational data. The harmonic force field has been used together with the results of the present and other microwave studies to determine the ground state average molecular structure.     

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.     

The harmonic force field and structure of chloryl fluoride

The microwave spectra of three isotopic species of chloryl fluoride, FClO₂, previously published by Parent and Gerry (J. Mol. Spectrosc., 49, 343–364 (1974)), have been refit to rotational constants and centrifugal distortion constants using Watson's Hamiltonian in both its A and S reductions. The quartic distortion constants have been combined with the vibrational data of Smith, Begun, and Fletcher (Spectrochim. Acta, 20, 1763–1770 (1964)) to calculate a refined harmonic force field. The rotational constants and force field have been used to calculate a zero-point average structure and an approximate equilibrium structure. Both the force field and structures are in essential agreement with those published earlier.     

The harmonic force field and ground-state average structure of difluoroborane

An improved harmonic force field of difluoroborane has been calculated using the vibrational wavenumbers and quartic centrifugal distortion constants of four isotopic species. The unidentified vibrational mode ν₅ is predicted at 1049 ± 50 and 775 ± 50 cm⁻¹ for HBF₂ and DBF₂, respectively. The ground-state average structure of HBF₂ has been found to be r_z(BH) = 1.195 ± 0.003 Å; r_z(BF) = 1.315 ± 0.001 Å; (FBF) = 118.0 ± 0.1°.     

The harmonic force field and ground-state average structure of allene

Existing spectroscopic data for allene-H₄, -D₄, and -1,1-D₂ are improved and augmented by gas-phase Raman and solid-phase infrared studies. A number of ¹³C vibration frequencies are identified in natural abundance by each technique. A total of 58 input data enable 22 of the 23 force field parameters to be determined, the ¹³C frequency shift data removing the ambiguity of choice between two sets of A₁ and B₂ species force constants. The remaining interaction force constant is constrained to the predicted ab initio value of Botschwina and Pulay. The force field is used to determine the ground-state average (r_z) structure of allene. Observed trends in the H-D isotopic effects on the r_z structures of ethylene, allene, and ketene are in accordance with those expected.     

Molecular structure and harmonic force field of AsCl3 by microwave spectroscopy

The microwave spectrum of four isotopically substituted species of AsCl₃ in the frequency range 100–220 GHz has been investigated. Four r_s structures were determined resulting in the following average values of the bond length and bond angle:The harmonic force field of AsCl₃ has been calculated and compared with that obtained without the aid of the centrifugal distortion constants.     

The harmonic force field of methanol

A 28-parameter harmonic force field for methanol is calculated from the matrix frequencies and frequency shifts of ten isotopic species of methanol determined by Barnes and Hallam; Mallinson and McKean; and Serrallach, Meyer, and Günthard. This present force field reproduces the observed harmonic frequencies and frequency shifts far better than either of the two most recent force fields. The presence of a 20 cm^?1 Fermi resonance shift on the lower A′ CH₃ stretching mode deduced in an earlier work is confirmed here.     

The general harmonic force field of fluoroform

Anharmonicity constants and harmonic frequencies of HC¹²F₃ and DC¹²F₃ are obtained for the first time. These data are combined with ζ^z, ζ^x,y and centrifugal distortion constants and carbon-13 frequency shifts to obtain, using the display method, the general harmonic force field (GHFF) of fluoroform. All 12 force constants in the GHFF, including off-diagonal elements in the A₁ block, are determined with significance. The carbon-13 frequency shifts proved to be most important for precise determination of A₁ off-diagonal elements. The GHFF is compared with the predictions of the Hybrid Orbital Force Field (HOFF).     

On the spectra of noncommutative 2D harmonic oscillator

The spectra and wave functions of the 2-dimensional harmonic oscillator in a noncommutative plane are revised by using the path integral formulation in coordinate space and momentum space, respectively. We perform the path integral formulation in coordinate space first. Then we study this problem in momentum space. The propagator is computed both in coordinate space and in momentum space. The modification due to noncommutativity of eigenvalues and eigenfunctions is studied. Both the small and large noncommutative parameter limits are discussed. PACS 11.10.Ef     

The emprical general harmonic force field of ethane

A total of 175 spectroscopic data, accumulated from 10 isotopic species of ethane, are used to define all 22 parameters of the harmonic potential function within narrow limits. Before calculation, numerous Fermi resonances have been identified and quantified through infrared and Raman spectroscopic studies of CH₃CD₃ and its ¹³C isotopic species. This is an essential prerequisite to such an investigation, without which a self-consistent empirical data set cannot be achieved from which to determine physically meaningful force constants. Comparison of the empirical force constants with those predicted by scaled ab initio calculations shows an excellent degree of correspondence in all force constants, and confirms that both approaches can lead to essentially identical results. Calculated values of spectroscopic data of reliable quality are listed. These should be of value to future spectroscopic investigation of isotopic ethanes and for resolving the many resonance perturbations which are present.     

Molecular force field and structure of water: Recent microwave results

Recently, microwave studies of the rotational spectra of water and its various isotopic species have been reported. These studies provide rotational constants and among others the quartic distortion constants, which depend on the quadratic part of the vibrational potential function. These data are collected and discussed, and the molecular force field and structure of water is considered in light of this recent microwave data. The quartic distortion data gives force constants which are very reasonable considering the difficulties in the distortion analysis of these light molecules, where as many as 22 parameters are being evaluated to fit the observed spectrum. The infrared and microwave data are combined within the theoretical framework of the small oscillations model and the results compare favorably with the true harmonic force field. The infrared and microwave valence bond force constants of H₂O are (mdyn/Å):

$\text{?}{}_{\mathrm{r}}\text{=7.746, ?}{}_{\mathrm{\theta }}\text{=0.700, ?}{}_{\mathrm{rr}}\text{=?0.093, ?}{}_{\mathrm{r\theta }}\text{=0.379}$

The results further confirm the usefulness of rotation-vibration data in the determination of force constans, and show that even for water with extremely large anharmonicity effects, a very representative force field can be obtained by combining ground state infrared and microwave data.Various molecular structures have been evaluated, and the average structures in the ground vibrational state for H₂O, D₂O and T₂O are found to be:

$\text{〈r〉}\text{〈θ}\text{O-H=0.9724}\text{A}\text{?}\text{HOH=104.50°}\text{O-D=0.9687}\text{A}\text{?}\text{DOD=104.35°}\text{O-T=0.9671}\text{A}\text{?}\text{TOT=104.26°}$

A one-dimensional approximation to the anharmonicity effects is applied to determine the equilibrium molecular structure of H₂O from the average structure data. The result is as follows:

$\text{r}{}_{\mathrm{e}}\text{=0.9587}\text{A}\text{?}\text{and θ}{}_{\mathrm{e}}\text{=103.9°}$

     

The microwave spectrum,force field and dipole moment of CF2

Measurements of the microwave spectrum of CF₂ have been extended to include transitions up to J = 40. Using these extended measurements, a centrifugal distortion analysis has been performed and from the distortion constants, the force field, infrared spectrum, average structure, Coriolis coupling constants, and inertial defect have been calculated. The original assignment of the infrared spectrum has been confirmed. An improved value for the dipole moment, 0.469 ± 0.026 D, has been obtained.     

The harmonic force field and rz structure of HNCO

The presently available microwave, millimeter wave, and far-infrared data of five isotopic species of isocyanic acid, namely, HNCO, H¹⁵NCO, HN¹³CO, HNC¹⁸O, and DNCO, have been used to obtain improved values of the ground-state rotational constants, the five quartic distortion constants, and some higher-order distortion constants in the I^rS reduced Hamiltonian of Watson. The appropriate planarity relation among the quartic centrifugal distortion constants has been imposed in the fitting procedure. The general harmonic force field of isocyanic acid has been determined using all existing data, and assuming a trans bent equilibrium geometry of the molecule with an NCO angle of 170°. Finally an r_z structure has been obtained using the A_z, B_z, and C_z rotational constants of five isotopic species. The bending of the NCO chain is found to be 8° in the trans configuration.     

Microwave spectra of deuterated arsines: Distortion moment transitions of AsD3, microwave spectra of AsH2D and AsHD2, and the structure of arsine

Microwave spectra of three deuterated arsines have been measured and analysed. For AsD₃ distortion moment transitions have been observed for the first time, in the form of the K = ±1 ← ∓2 cluster; their frequencies have been combined with those of previously observed “normal” transitions to give rotational, centrifugal distortion, and ⁷⁵As hyperfine constants. For AsH₂D and AsHD₂, the measurements have been extended considerably and now include for the first time R-branch transitions; similar spectroscopic constants have been evaluated. The data have been combined with earlier results for AsH₃ and with vibrational data in a harmonic force field analysis. Both ground state average (r_z) and equilbbrium (r_e) structures have been estimated.     

Microwave spectra of SiH2DF and SiHD2F: Harmonic force field and molecular structure

The ground vibrational state rotational spectrum of SiH₂DF and SiHD₂F has been studied in the frequency region 24–58 GHz. The observed transitions have been used to obtain the A, B, C rotational constants and three of the five quartic distortion constants present in the reduced Hamiltonian of Watson.The A, B, C rotational constants obtained in this work in combination with the B constants of the six symmetric isotopes were used to determine accurate substitution and average structures. An approximate equilibrium structure is also estimated.The general harmonic force field of silyl fluoride has been redetermined using all existing data.     

The microwave spectrum,structure, and dipole moment of the unstable molecule phosphaethene,CH2PH

A detailed rotational analysis of the microwave spectrum between 26.5 and 40 GHz of phosphaethene, CH₂PH, has been carried out. This molecule is the simplest member of a new class of unstable molecules—the phosphaalkenes. The species can be produced by pyrolysis of (CH₃)₂PH, CH₃PH₂ and also somewhat more efficiently from Si(CH₃)₃CH₂PH₂. Full first-order centrifugal distortion analyses have been carried out for both ¹²CH₂³¹PH and ¹²CH₂³¹PD yielding: A₀ = 138 503.20(21), B₀ = 16 418.105(26), and C₀ = 14 649.084(28) MHz for ¹²CH₂³¹PH. The 1₀₁-0₀₀μ_A lines have also been detected for ¹³CH₂PH, cis-CDHPH and trans-CHDPH. These data have enabled an accurate structure determination to be carried out which indicates: $\text{r(}\text{H}{}_{\mathrm{c}}\text{C}\text{) = 1.09 ± 0.015}\text{A}\text{?}\text{, ∠(}\text{H}{}_{\mathrm{c}}\text{CP}\text{) = 124.4 ± 0.8°; r(}\text{H}{}_{\mathrm{t}}\text{C}\text{) = 1.09 ± 0.015}\text{A}\text{?}\text{, ∠(}\text{H}{}_{\mathrm{t}}\text{CP}\text{) = 118.4 ± 1.2°; r(}\text{CP}\text{) = 1.673 ± 0.002}\text{A}\text{?}\text{, ∠(}\text{HCH}\text{) = 117.2 ± 1.2°; r(}\text{PH}\text{) = 1.420 ± 0.006}\text{A}\text{?}\text{, ∠(}\text{CPH}\text{) = 97.4 ± 0.4°}$. The dipole moment components have been determined as μ_A = 0.731 (2), μ_B = 0.470 (3), μ = 0.869 (3) D for CH₂PH; μ_A = 0.710 (2), μ_B = 0.509 (10), μ = 0.874 (7) D for CH₂PD.     

Microwave spectra and centrifugal distortion constants of formic acid containing 13C and 18O: Refinement of the harmonic force field and the molecular structure

Pure rotational spectra of H¹³COOH, HC¹⁸OOH, and HCO¹⁸OH have been measured in the frequency region 8–185 GHz. Analysis of the spectra has given improved rotational constants and quartic and sextic centrifugal distortion constants. The quartic distortion constants have been combined with previously published distortion constants of four other isotopic species, and with the vibrational wavenumbers of seven isotopic species, to produce a refined harmonic force field. An improved substitution structure and the ground state average structure have been obtained. Some unmeasured transition frequencies which may be of importance in radioastronomy are also presented.