Rotational spectrum and molecular constants of the diatomic GaCl in its electronic ground state1ε+

At wavelengths near 1 mm six rotational transitions of GaCl have been observed. The analysis including previous measurements on the rotational transitionJ = 1 ← 0 resulted in extended sets of the Dunham parametersY ₀₁,Y ₁₁,Y ₂₁,Y ₃₁,Y ₀₂,Y ₁₂ andY ₀₃ of the four isotopic species⁶⁹Ga³⁵Cl,⁷¹Ga³⁵Cl,⁶⁹Ga³⁷Cl and⁷¹Ga³⁷Cl. With these microwave data the constantsY ₁₀ ≈ ε_e and —Y ₂₀ ≈ ω _e x _e were determined. The parameters of the Dunham potentiala ₀,a ₁,a ₂,a ₃ andr _e are given. The GaCl was produced by reaction of gaseous CCl₄ with Ga evaporated at 1,500°C.     

Millimeter-wave rotational transitions and molecular constants of the diatomic silver iodide

In the 280 GHz region four rotational transitions of both isotopic species of AgI in vibrational states up to v = 2 have been measured. The analysis including frequencies of former observations in the 10 GHz region resulted in improved and new Dunham parameters Y_kl. From these data values of the vibrational constants ω_e and ω_ex_e have been deduced.     

A simple analytical approximation for the potential energy of diatomics

A correlation between the Dunham expansion coefficients, a₂ ≈ 0.64 a₁², is found which holds for diatomics for different types. Based on this correlation, a four-parameter power approximation using ω_e, B_e, α_e and D_e is suggested which reproduces the ground-state potential curves for diatomics within 2%.     

Velocity modulation laser spectroscopy of vibrationally excited CF+ determination of the molecular potential function

The lowest six vibrational hot bands of CF⁺ have been measured in a helium/C₂F₆ discharge by velocity modulation laser spectroscopy. A total of 56 transitions has been fitted to Dunham expansion for v = 0–7, yielding the parameters: ω_e = 1792.6654(18) cm⁻¹B_e = 1.7204176(75) cm⁻¹, Y₂₀, = −13.22968(54) cm⁻¹, and D₀ = 62086(30) cm⁻¹. The rotational temperature of CF⁺ in the plasma is near 650 K and the vibrational temperature is approximately 5200 K.     

Rotational spectrum of BiBr

The microwave absorption spectra of Bi⁷⁹Br and Bi⁸¹Br have been measured in the 65–100 GHz region. Frequencies of rotational transitions (υ,J + 1) ← (υ,J) in the 0⁺ electronic ground state with J = 26,27 and 35–39, and in the vibrational state υ = 0–11 can be fitted to the expression: ν = 2[Y₀₁ + Y₁₁(υ + $\text{1}\text{2}$) + Y₂₁(υ + $\text{1}\text{2}$)²] (J + 1) + 4Y₀₂(J + 1)³. The results for the Dunham coefficients are: Y₀₁ = 1295.5609(12) MHz, Y₁₁ = ?3.97809(18) MHz, Y₂₁ = 2.303(18) kHz, Y₀₂ = ?220.26(45) Hz for Bi⁷⁹Br, and: Y₀₁ = 1272.3406(12) MHz, Y₁₁ = ?3.87164(16) MHz, Y₂₁ = 2.225(14) kHz, Y₀₂ = ?212.31(45) Hz for Bi⁸¹Br. From these results we have deduced the value for the equilibrium distance r_e, for the potential constants a₀ and a₁, and for the vibrational constants ω_e and ω_eχ_e. The molecular constants of BiBr are almost the same as of TIBr, the situation found also for BiI and TII.     

Two-photon absorption spectroscopy of iodine monochloride in the 5 eV region

Two-photon high resolution sequential spectroscopy has been used to excite iodine monochloride from X¹Σ⁺ ground state to the intermediate A³Π₁ state and thence to a final electronic state at 4.82 eV. Vibrational and rotational analyses of this state have been carried out for both isotopic species. For I³⁵Cl, T_e = 38916.0 cm^?1 ω_e = 168.99 cm^?1, ω_ex_e = 0.357 cm^?1 and B_e = 0.05685 cm^?1. The state probably has Ω = 1 in case (c) coupling approximation. It is also shown how to two-photon technique enables rotational line structure of the A ← X transition to be selectively excited for either isotopic species at a resolution of 500000, from an absorption mixture containing natural iodine monochloride plus its iodine dissociation product at equilibrium vapour pressure.     

CEPA calculations on open-shell molecules

Ab initio calculations at SCF and CEPA levels using large Gaussian basis sets have been performed for the two lowest electronic states,X ² Σ⁺ andA ² Π, of HeAr⁺. Spin-orbit coupling (SOC) effects have been added using a semiempirical treatment. The resulting potential curves for the three statesX,A ₁, andA ₂ have been used to evaluate molecular constants such as vibrational intervals ΔG(v + 1/2) and rotational constantsB _v as well as — by means of a Dunham expansion — equilibrium constants such asR _e , ω _e ,B _e etc. Comparison with the experimental data from UV emission spectroscopy shows that the calculated potential curves are slightly too shallow and have too large equilibrium distances:D _e = 242 cm^?1 andR _e = 2.66 Å compared to the experimental values of 262 cm^?1 and 2.585 Å, respectively, for theX ²Σ⁺ ground state. However, the ab initio calculations yield more bound vibrational levels than observed experimentally and allow for a more complete Dunham analysis, in particular for theA ₂ state. The experimental value of 154 cm^?1 for the dissociation energyD _e of this state is certainly too low; our best estimate is 180±5 cm^?1. For theA ₁ state our calculations are predictions since this state has not yet been observed experimentally.     

Millimeter wave spectrum of gaseous bismuth monofluoride (BiF)

Rotational transitions of gaseous bismuth monofluoride (BiF) have been observed for the first time. The molecules were produced in a double oven system and subsequently led into the absorption cell at a temperature of 700 °C. Transitions (F′,J + 1,v) ← (F,J,v) with J = 4,6 and 7 and v = 0–6 in the O⁺ electronic ground state have been measured in the 65–110 GHz region. The hyperfine structure due to the Bi nucleus is completely resolved. Analysis of the spectrum yields the following rotational and hyperfine constants: Y₀₁ = 6894.89594(84) MHz, Y₁₁ = ?45.0474(11) MHz, Y₂₁ = 81.69(45) kHz, Y₃₁ = 0.177(51) kHz, Y₀₂ = ?5.5440(73) kHz, eq_eQ(Bi) = ?1150.28(12) MHz, eq_IQ(Bi) = 4.20(12) MHz, c_Bi = ?30.0(5) kHz. In the Dunham constants Y_lm contribution due to interaction with 1⁺-level is included. The equilibrium distance, potential and vibrational constants are derived.     

The absorption spectrum of carbon monoxide in the CO(3Π r,a) state between 215 nm and 285 nm

Bye-beam excitation of a He/CO mixture the CO(³Π _r ,a) state was sufficiently populated to allow the measurement of the absorption spectrum. The (0, 0), (1, 1), (2, 2) and (0, 1) bands of thec ³Π←a ³Π system of CO have been observed and the molecular constantsT _e =92036.0 cm^?1 (for the band head), ω _e =2249.5 cm^?1, ω _e x _e =29.5 cm^?1 have been derived for CO(c). A new electronic state withT _e =91854.3 cm^?1, ω _e =848.4 cm^?1, ω _e x _e =9.8 cm^?1,B _e =1.351 cm^?1, and α _e =0.021 cm^?1 was identified to be a³Σ state. It seems to be very likely that this state is the CO (3pσ,³Σ,j) state discussed in the literature. The results indicate a perturbation of the υ=1 levels of the new state by the CO (c,υ=0) levels. Another strong perturbation is found in the υ=4 levels. The three CO(³Σ,b,υ′=0,1,2)←CO (a,υ″=0) bands were also investigated yielding for CO(b):T _e =83778 cm^?1, ω _e =2335 cm^?1, ω _e x _e =59 cm^?1 andB _e =1.86 cm^?1.     

Observed adiabatic corrections to the born-oppenheimer approximation for diatomic molecules with ten valence electrons

Using millimeter-wave (mw) spectroscopy pure rotational transitions were measured with very high precision in several vibrational states for many compounds of the group III/VII and IV/VI diatomic molecules. The spectra were fitted to the usual Dunham expansion adopting the normal mass relations for the Y_lk except for Y₀₁ in order to combine all data of different isotopes for the same compound. For Y₀₁ the atomic mass relation given by Watson is used which introduces phenomenological parameters Δ₀₁^A, Δ₀₁^B for molecule AB taking the adiabatic and nonadiabatic corrections to the Born-Oppenheimer approximation into account. All observed spectra are well described by such a procedure. From these calculations the correction parameters Δ₀₁^A, Δ₀₁^B were obtained with an accuracy of ≈ 10% or better. Using known values of the rotational gJ factor and of the electric dipole moment the nonadiabatic part was calculated and with this result the adiabatic part was evaluated from Δ₀₁ for each atom. The adiabatic correction does not change very much for one specific atom by varying the chemical counterpart and in general it is less than 30% of the total correction for this class of molecules. The only exceptions are InI and the Tl and Pb compounds for which the adiabatic corrections are obtained ten to hundred times larger than those of the other compounds. No explanation is known for this behavior in the published literature.     

Two-photon sequential absorption spectroscopy of the E(0+) state of iodine monofluoride

The energy levels of a new state of iodine monofluoride lying 5 eV above the ground state have been measured using the two-photon sequential absorption technique. Eleven vibrational levels of the state were measured. A vibrational and rotational analysis gives the spectroscopic constants as T_e = 41291.96 cm⁻¹, ω_e = 248.76 cm⁻¹, ω_eχ_e = 0.4951 cm⁻¹ and B_e = 0.12920 cm⁻¹. The state has 0⁺ character, and dissociates to I⁺ + F⁻ in the diabatic approximation.     

b1Σ+ Emissions from group V–VII diatomic molecules. b 0+ → X1 0+, X2 1 emissions of AsI and SbI

Chemiluminescence from the b 0⁺ → X₁ 0⁺ band system of AsI and of the b 0⁺ → X₁ 0⁺, X₂ 1 systems of SbI in the near-infrared spectral region has been observed in a discharge flow system. Analysis of the spectra led to the spectroscopic constants (in cm^?1) of AsI: ω_e(X₁, X₂) = 257 ± 2, ω_ex_e(X₁, X₂) = 0.82 ± 0.2, T_e(b 0⁺) = 11738 ± 5, ω_e(b 0⁺) = 271 ± 2, ω_ex_e(b 0⁺) = 0.66 ± 0.2, and of SbI: T_e(X₂ 1) = 965 ± 10, ω_e(X₁, X₂) = 206 ± 6, T_e(b 0⁺) = 12328 ± 10, ω_e(b 0⁺) = 211 ± 6. The intensity ratio of the two sub-systems b 0⁺ → X₂ 1 and b 0⁺→ X₁ 0⁺ was found to be ≈0.013 in the case of SbI and ? 0.01 for AsI.     

Electron spectroscopy of hydrogen fluoride resonances

Transmission electron spectroscopy has been applied to determine the energies of resonances in HF. In addition to a sharp resonance at 10.05 eV, a resonance series exhibiting both vibrational and rotational structure is resolved in the energy range between 12 eV and 13 eV and the following molecular constants are obtained: B = 20.4 cm^?1, r_e, = 0.93 Å, ω_e 0.132 eV, ω_ex_e = 0.006 eV and D_e = 0.73 eV. The resonance spectrum is analysed with reference to an electron energy loss spectrum and approximate potential energy curves are deduced. Serious discrepancies are found between the present results and the data reported by Spence and Noguchi.     

Analytic matrix elements of the dipole moment and Herman-Wallis coefficients

Perturbation theory proves to be a powerful approach to obtain in analytic form both vibration-rotational energies and matrix elements of the dipole moment of diatomic molecules in terms of the expansion parameter = 2B _e/gw_e,B _e and _e being, respectively, the equilibrium rotational and harmonic vibrational spectral parameters. A systematic and efficient algorithm has been developed to execute such calculations with sufficient accuracy for most physical applications when the potential-energy function is accurately represented in the Dunham form. The method also provides analytic expressions of the Herman-Wallis coefficientsC _v ^v andD _v ^v for the vibration-rotational overtone bandsv ¹v for diatomic molecules in¹ electronic states.     

Millimeter wave rotational spectra of indium monofluoride

The millimeter wave rotational spectra of indium monofluoride (InF) have been studied in the 250–300 GHz frequency region. Three rotational transitions of¹¹⁵InF in thev=0, 1 and 2 vibrational states and two rotational transitions of the less abundant¹¹³InF in thev=0 state with resolved hyperfine structures have been measured. The analysis including previous measurements on the lower rotational transitions in the microwave region yielded improved and extended sets of Dunham parameters. The comparison of the results for the two isotopic species of InF indicates a similar deviation from the Born-Oppenheimer approximation as for InCl.     

Electric dipole moment of the diatomic tif in its higher vibrational states

The electric dipole moment of ²⁰⁵Tl¹⁹F has been measured in its higher vibrational states up to ν = 7 by studying the Statk effect in the J = O → 1 rotational transitions. The variation of the electric dipole moment with vibrational states is discussed. The electric dipole moment can be written as lμ_νl = 4.1941 (15) + 0.0681(12) (ν + $\text{1}\text{2}$) D.     

A simple method for non-parametric estimation of the probability distribution function of diatomic molecules by electron diffraction

Treating the Debye intensity relationship as a linear Fredholm integral equation of the first kind, a method is developed for a non-parametric estimation of the probability distribution function P/r) for diatomic molecules from electron-diffraction data. Since the problem is an ill-posed one, Tikhonov's regularization procedure was used for the solution. The method was applied to iodine for which the non-parametric P/r) function is obtained. Based on this function the electron-diffraction parameters r_g, r_a and l_a are estimated by the linear least-squares method without a priori assumptions about the form of the vibrational potential. Approximating the potential by the Dunham expansion, the parameters r_e, ω_e, K₃ and K₄ are also estimated. The results are compared with those obtained from conventional analytical representation of an intensity function. Comparison is also made with spectroscopic data for iodine.     

Analysis of the D′ → A′ transition in BrF

The emission spectrum of BrF in the 3400–3600 A region is recorded and analysed for ⁷⁹Br¹⁹F and ⁸¹Br¹⁹F. The transition is assigned as D′(2) → A′(2), in which D′ belongs to the lowest cluster of three ion-pair states, and A′ is the lowest excited valence state. The main spectroscopic constants are: R_c^′ 2.66 A, ω_c^′ = 308 cm^?1. R_c^″ = 2.07 A, ω_c^′ ≈ 390 cm^?1, and D_c^″ 5200 cm^?1.     

Diode laser spectroscopy of lithium chloride at elevated temperatures

Diode laser spectroscopy of lithium chloride in the gas phase (850°C) has been carried out in the region 621 to 693 cm⁻¹. Transitions of three isotopic combinations of lithium chloride (⁷Li³⁵Cl, ⁷Li³⁷Cl and ⁶Li³⁵Cl) have been measured with a nominal accuracy of ± 0.001 cm⁻¹. The results were combined with existing microwave data and fitted to the usual Dunham equation to produce accurate values of the pure vibrational parameters (Y₁₀, Y₂₀, etc.) and a number of high-order parameters.     

The ground-state potential energy function of PO+

The ground-state potential energy function of PO⁺ has been calculated from the set of molecular constants B _e, ω_e, a _i (i = 1, … , 5), R _e, D _e and C₄ in the form of generalized potential energy function previously suggested by us for solving the inverse spectroscopic problem.