The Rydberg Nature And Assignments Of Excited States Of The Water Molecule

We report ab initio theoretical calculation on 32 excited states of H₂ O found to lie below 11.7 eV. Of the eight states observed experimentally, the average discrepancy between theoretical and experimental excitation energies is 0.1 eV. We find that the excited states can each be characterized as arising from an excitation to a Rydberg orbital. Our results indicate that the ? and F? states are both 3d-like excited states rather than one 3d state and one 4s state as previously assumed and similarly for the two Rydberg series joining onto ? and F?. The nsa₁ Rydberg series is found to have a quantum defect of 1.38. joining onto the Ã(¹B₁ state. We have assigned the 9.81 eV transition observed by electron impact as the 1b₁ – 3pb₁ excitation to a ³A₁ state.     

Ab initio MRD-CI study of the rydberg states of methylene

Potential curves have been calculated for the low-lying Rydberg states of CH₂ as well as for a number of its valence-shell species by employing the ab initio MRD-CI method. The first Rydberg transition is found to occur with a vertical energy of 6.38 eV (1b₁ → 3s), but the corresponding upper state is believed to be strongly predissociated since it correlates directly with the CH(²II) + H(²S_g) ground state fragments at lower energy. The assignment of the first observed Rydberg transition at 8.757 eV by Herzberg as 1b₁ → 3dπ is confirmed almost quantitatively in the calculations, while the corresponding minimum 1P value is computed to be 10.21 eV compared to the experimental result of 10.3 ± 0.1 eV. The dissociation energy of methylene in its ground state is calculated to be 4.47 eV, and this result also fits in well with experimental evidence, which determines a lower limit for this quantity of D₀ > 4.23 eV. Finally, it is found that none of the Rydberg states nor any of the higher-lying valence-shell species of methylene are of sufficiently low energy to play a significant role in the experimental determination of the ¹A₁-³B₁ splitting of this system.     

High-resolution laser spectroscopy of H2 in a fast beam

High-resolution laser photofragment spectroscopy is performed in a fast beam of H₂c³Π_u⁻ formed by near resonant charge exchange. The observed linewidths allow partial resolution of the fine and hyperfine structure in the 1s3d g ³Σ⁺_g Rydberg state. Simulations of the spectra indicate that the hyperfine splittings are very close to those of H⁺₂ as expected for Rydberg states.     

The valence and Rydberg excited states of CH2: A theoretical exploration

Using the completed active space second‐order perturbation (CASPT2) method, valence and Rydberg excited states of CH₂ molecule are probed with the large atomic natural orbital (ANO‐L) basis set. Five states are optimized and the geometric parameters are in good agreement with the available data in literatures, furthermore, the state of 2¹B₁ is obtained for the first time. Valence and Rydberg excited states of CH₂ are also calculated for the vertical transitions with the ANO‐L+ basis set that is constructed by adding a set of 1s1p1d Rydberg orbitals into the ANO‐L basis set. Two Rydberg states of the p?³A₂ and r?³B₁ at 9.88 and 10.50 eV are obtained for the first time, and the 3a₁ → 3d_yz nature of the state p?³A₂ and the 3a₁ → d_x2?y2 nature of the state r?³B₁ are confirmed. © 2012 Wiley Periodicals, Inc.     

The electronic states of 1,2,5-oxadiazole studied by VUV absorption spectroscopy and CI, CCSD(T) and DFT methods

The 1,2,5-oxadiazole VUV absorption spectrum in the range 5–11.5 eV, shows broad bands centred near 6.2, 7.1, 8.3, 8.8, 10.6 and 11.3 eV. Rydberg states associated with three ionisation energies (IE) were identified in the complex fine structure above 8.7 eV. Electronic vertical excitation energies for singlet and triplet valence, and Rydberg states were computed using ab initio multi-reference multi-root CI methods. There is generally a good correlation between the envelope of the theoretical intensities and the experimental spectrum. The nature of the more intense calculated Rydberg states, and positions of the main valence and Rydberg bands are discussed. The lowest triplet, singlet and Rydberg 3s excited states have equilibrium structures that are non-planar with C_S symmetry, in a chair-like orientation where the O and H atoms lie out of the NCCN plane. This finding is consistent with the doubling of the low energy UV spectral lines [B.J. Forrest, A.W. Richardson, Can. J. Chem., 50 (1972) 2088].The nearly degenerate IE of the UV-photoelectron spectrum (UV–PES, Palmer et al. 1977) makes analysis of the VUV spectrum difficult, leading to the necessity for reinvestigation. Vertical studies (IE_V) using CI, Tamm–Dancoff (TDA) and Green’s Function (GF) methods all gave similar results, with near degeneracy of the first 3IE_V confirming the earlier study. Studies of the adiabatic IE (IE_A) using CCSD(T) and B3LYP methods, showed the energy sequence ²A₂ < ²B₁ < ²B₂, but these states are all saddle points, in contrast to the 4th state (²A₁) which is a minimum. In contrast, MP2 study of the ²B₂ state showed a minimum, with only two saddle points.Complete minima were found after minor twisting of the structures. The lowest energy cationic state is ²A^″ (C_S), which closely resembles the ²B₂ state. The O–N–C–C skeleton is twisted by 8°. The corresponding ²A^′ state (C_S) is effectively identical to the ²B₁ state. Attempts to find minima for other symmetry states were unsuccessful.     

Electronic excitation (5–9 eV) in ethylene and some haloethylenes by threshold electron-impact spectroscopy with an improved energy resolution

An improvement of a conventional trochoidal electron monochromator is presented. In trapped-electron spectra the fwhm is now reduced to 100 meV, even in the presence of reactive gases. Electron excitation and resonance processes have been studied in ethylene, fluoroethylene, 1,1-difluoroethylene and chlorotrifluoroethylene. Singlet and triplet levels of the first Rydberg state can be resolved in the threshold spectrum, due to resonance excitation and the improved energy resolution. Vibronic structure is reported in the transition to the ¹B_1g state in ethylene. Some optically forbidden valence shell transitions have been discovered around 8.5 eV in 1,1-difluoroethylene and chlorotrifluoroethylene.     

Two-color excitation of NO in a supersonic free jet. Autoionization of high rydberg states

High Rydberg states of NO above the ionization limit have been measured for the isolated molecule in a supersonic free jet by two-color multiphoton ionization. Three Rydberg series (ns, np and nf) were identified, which appeared by rotational and the vibrational autoionization. The rotational structures of the 13s(υ = 1), 13p(υ = 1) and 12f(υ = 1) states have been analyzed in detail. The fluorescence dip spectra for the intermediate A²Σ⁺(3sσ) state have been measured simultaneously and the cross sections of the one-photon absorption to the high Rydberg states from the A²Σ⁺(υ = 1) state have been determined.     

Rydberg states (n = 4–29) of azabicyclo [2.2.2] octane as studied by two-color fluorescence DIP and multiphoton ionization spectroscopies

Two-color fluorescence dip and multiphoton ionization (MPI) spectra have been observed for azabicyclo [2.2.2] octane in a supersonic jet. The spectra showed well-resolved structures consisting of five Rydberg series of n = 4–29. The five Rydberg series were assigned to s, p_z, p_xy, and two d orbitals. From the spectra obtained after exciting the molecule to various vibronic levels in the S₁ (3s) state, the Δν = 0 selection rule was obtained for the Rydberg-Rydberg transition. The same selection rule was found to be preserved also for the transition from the S₁ state to the ion. It was shown that the autoionization of the high Rydberg states to the ion is governed by Δν=?1. The existence of a very fast non-radiative channel was found for the Rydberg state from the ω₂ power dependence on the two-color MPI spectra.     

飞秒时间分辨的光电子影像对3-甲基吡啶分子超快动力学研究

利用飞秒时间分辨的光电子影像技术结合时间分辨的质谱技术,研究了3-甲基吡啶分子激发态的超快过程. 实时观察到了3-甲基吡啶分子S₂态向S₁态高振动能级的超快内转换过程,该内转换的时间大约为910fs. 二次布居的S₁态主要通过内转换衰减到基态S₀,该内转换的时间尺度为2.77 ps. 光电子能谱分布和光电子角分布显示,S₂态和S₁态在电离的过程中跟3p里德堡态发生偶然共振. 本次实验中还用400 nm两个光子吸收的方法布居了3-甲基吡啶的3s 里德堡态. 研究表明,3s 里德堡态的寿命为62 fs,并主要通过内转换快速衰减到基态.     

Vibronic spectra of the allyl radical at 6–8 eV with resonance-enhanced multiphoton ionization technique

The allyl radical was produced in molecular beam by pyrolysis of allyl iodide. The vibronic spectra from ground state to six new electronic states of the allyl radical at 6–8 eV, π →3d^xz, π →3d^xy and π →ns (n=4, 6, 7, 8) were observed firstly with the aid of time-of-flight mass spectros copy and resonance-enhanced multiphoton ionization technique. Vibrational progression ofv ₇(C₃ bend) with gross spacing of about 430 cm⁻¹ was observed inns Rydberg states. The adiabatic ionization potential of the allyl radical was obtained to be (65641 ± 20) cm⁻¹ ((8.138 ± 0.002) eV) by fitting the term values ofns (n=4,6,7,8) Rydberg states with Rydberg formula.     

Oscillator strength measurements of the 5s5p 3P1 → 5snd 3D2 Rydberg transitions of cadmium

We report oscillator strengths distribution in the bound region of cadmium corresponding to the 5s5p ³P₁ → 5snd ³D₂ (21 ≤ n ≤ 52) Rydberg transitions. The experiment was performed using two frequency doubled dye lasers simultaneously pumped by a common Nd:YAG laser in conjunction with an atomic beam set-up. The absolute photoionization cross section of the 5s5p ³P₁ intermediate state at the 5s ²S_1/2 ionization threshold has been measured as 20 (4) Mb using the saturation technique. The measured value of the photoionization cross section at threshold is used to extract the f-values of the above mentioned Rydberg transitions.     

UV emission of CF2 produced by electron and ion impact on CHF3

Emission spectra produced by 0–1 keV electron and 1–25 keV H⁺ impact on CHF₃ were obtained and absolute cross section for a band in the UV were determined. The latter emission between ≈ 230 and 350 nm is attributed to the CF₂ (ā → X?) transition by comparison with fluorescence spectra from photolysis of CF₂ containing species. An analysis of the energy dependence of the cross sections indicates that the corresponding excitation processes involve excited state(s) of CHF₃ in particular the (4e)^?2(3p) Rydberg state dissociating into CF₂(ā) and H, F fragments.     

Ab initio MRD CI calculations for the electron spectrum of the C3 radical

Calculations using the MRD CI method are reported for the ground and low lying excited states of C₃. Transitions from the 3σ_u, 4σ_g and 1π_u MO's into 1π_g are considered, as well as the 1π_u → 3s Rydberg species and the corresponding ionization, and good agreement with experimental data is obtained where comparison is possible. Potential curves calculated for the ground and (1π_u → 1π_g) ¹Σ⁺_u excited state are discussed.     

Two-color multiphoton ionization spectra of jet-cooled p-difluorobenzene - s and d Rydberg states

Two-color multiphoton ionization spectra of jet-cooled p-difluorobenzene due to the transitions from S₁ state to highly excited Rydberg states have been observed. At least six different Rydberg series of s and d characters were found. The results indicate a reduction of molecular symmetry in the Rydberg state to C_2h. The Rydberg states belonging to different series exhibit different ionization behavior.     

Calculation of the intermediate coupling between the Hund's cases b and d,for the 3d Rydberg states of H2

The calculation of an intermediate coupling between the Hund's cases b and d is made in the d basis. We apply the calculations to the 3d ¹Σ, ¹Π, and ¹Δ, states of H₂ in order to interpret the measured g-factors of the ¹Σ state. The g-factors of these states obtained by the calculations of other authors in the b basis are compared with our results. We conclude that the criterion of isolation of the 3d Rydberg states of H₂ is not valid     

Configuration-Interaction study of lower excited states of O2: Valence and rydberg characters of the two lowest 3Σu − states

Configuration-interaction calculations, with an extended basis, are carried out on the ground and lower excited states of O₂ and O₂⁺ at and near the equilibrium internuclear distance (R = 2.3 a.u.) of the ground state of O₂. Particular attention has been paid to the two lowest ³Σ_u^? states, and the mixing of the valence and Rydberg characters in these states are studied. The lowest ³Σ_u^? state is a Rydberg-type state for R < 2.3 a.u., but becomes valence-type for R ? 2.3 a.u. The second ³Σ_u^? state, which is 1.6 eV above the lowest ³Σ_u^? at R = 2.3 a.u., changes its character from Rydberg to valence, valence to Rydberg, and then to valence again when R increases from 1.9 to 3.1 a.u. Satisfactory agreement between the calculated and experimental vertical excitation energies is obtained.     

Nature of the resonant states of NO−

The stabilization method of Taylor has been used to calculate the nature of the states of NO^? corresponding to the lowest resonances observed recently by Sanche and Schulz. It is confirmed that they consist of two Rydberg electrons in the core of the X ¹Σ⁺ ground state of the ion. The proposed assignments are the (Rsσ)²¹Σ⁺, (Rsσ)(Rpπ) ³Π, (Rsσ)(Rpσ) ³Σ⁺ states. The fourth resonance is attributed to an (Rpπ)²³Σ⁺ state. The Rydberg or of these states of the negative ion are more diffuse than the corresponding ones of the neutral molecule.     

Potential energy curves of several excited states of the Ne2* excimer: Assignment of the transient absorption spectra of the excimer

Most of the excited states of Ne₂, which are correlated with the Rydberg state transitions 2p → 3s, 3p, and 4s of Ne, are studied by ab initio CI calculations. Two transient absorption spectra from the lowest excimer state Σ_u⁺ recently observed by Arai et al., are discussed on the basis of calculated potential energy curves. Possible assignments are presented. The calculated transition energies are in good agreement with the observed ones.     

Theoretical studies of photodissociation and rydbergization in the first triplet state (3s3A″2) of ammonia

Ab initio investigations at the RHF and CI levels have been carried out on a section of the potential energy surface of the Rydberg 3s³A″₂ state of NH₃ leading to dissociation into NH₂(²B₁) and H(²S). It was found that the barrier towards dissociation is due to a Rydberg-valence transformation. The barrier height calculated with the CI wavefunction is significantly smaller than at the RHF level The results may explain the difficulties associated with experimental observation of the 3s³A″₂ state.     

Translational energy distributions and production mechanisms of the excited hydrogen atom (n = 3,4) produced in e-NH3 collisions

The Balmer α and β lines produced in e-NH₃ collisions have been measured precisely with the use of a Fabry-Perot interferometer. These lines are not polarized. The translational energy distributions of (H^*(n = 3,4) were determined from analysis of Doppler lineshapes and have five components; their peaks lie at 1, 3, 2, 4–5 and 8–12 eV. The excitation function [H^*(n = 4)] has five thresholds at 22.5, 29.0, 33.3, 38.9 and 41.7 eV, and indicates that five dissociation processes contribute to the formation of H^*. Excitation to the Rydberg states converging to the (2a₁)^?1 state of NH₃⁺ is a major process for the formation of the first and the second components. Doubly excited Rydberg states play important roles in the dissociative excitation of NH₃.