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Keywords = Rydberg electronic state

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17 pages, 1725 KiB  
Article
Ring Opening upon Valence Shell Excitation in β-Butyrolactone: Experimental and Theoretical Methods
by Pedro A. S. Randi, Márcio H. F. Bettega, Nykola C. Jones, Søren V. Hoffmann, Małgorzata A. Śmiałek and Paulo Limão-Vieira
Molecules 2025, 30(15), 3137; https://doi.org/10.3390/molecules30153137 - 26 Jul 2025
Viewed by 256
Abstract
The valence-shell electronic state spectroscopy of β-butyrolactone (CH3CHCH2CO2) is comprehensively investigated by employing experimental and theoretical methods. We report a novel vacuum ultraviolet (VUV) absorption spectrum in the photon wavelength range from 115 to 320 nm (3.9–10.8 [...] Read more.
The valence-shell electronic state spectroscopy of β-butyrolactone (CH3CHCH2CO2) is comprehensively investigated by employing experimental and theoretical methods. We report a novel vacuum ultraviolet (VUV) absorption spectrum in the photon wavelength range from 115 to 320 nm (3.9–10.8 eV), together with ab initio quantum chemical calculations at the time-dependent density functional (TD-DFT) level of theory. The dominant electronic excitations are assigned to mixed valence-Rydberg and Rydberg transitions. The fine structure in the CH3CHCH2CO2 photoabsorption spectrum has been assigned to C=O stretching, v7a, CH2 wagging, v14a, C–O stretching, v22a, and C=O bending, v26a modes. Photolysis lifetimes in the Earth’s atmosphere from 0 km up to 50 km altitude have been estimated, showing to be a non-relevant sink mechanism compared to reactions with the OH radical. The nuclear dynamics along the C=O and C–C–C coordinates have been investigated at the TD-DFT level of theory, where, upon electronic excitation, the potential energy curves show important carbonyl bond breaking and ring opening, respectively. Within such an intricate molecular landscape, the higher-lying excited electronic states may keep their original Rydberg character or may undergo Rydberg-to-valence conversion, with vibronic coupling as an important mechanism contributing to the spectrum. Full article
(This article belongs to the Special Issue Advances in Density Functional Theory (DFT) Calculation)
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13 pages, 948 KiB  
Article
Extended Photoionization Cross Section Calculations for C III
by V. Stancalie
Appl. Sci. 2025, 15(14), 8099; https://doi.org/10.3390/app15148099 - 21 Jul 2025
Viewed by 209
Abstract
Spectral features of photoionization of various levels of C III are reported. These include characteristics of Rydberg and Seaton resonances, low and high excited levels, lifetimes, and total and partial cross sections. Calculations are performed in the relativistic Breit–Pauli R-matrix method with close-coupling [...] Read more.
Spectral features of photoionization of various levels of C III are reported. These include characteristics of Rydberg and Seaton resonances, low and high excited levels, lifetimes, and total and partial cross sections. Calculations are performed in the relativistic Breit–Pauli R-matrix method with close-coupling approximation, including damping effects on the resonance structure associated with the core-excited states produced by the electron excitation of C IV and photoionization of C III. For bound channel contribution, the close-coupling wavefunction expansion for photoionization includes ground and 14 excited states of the target ion CIV and 105 states configurations of C III. Extensive sets of atomic data for bound fine-structure levels, resulting in 762 dipole-allowed transitions, radiative probabilities, and photoionization cross sections out of Jπ = 0± − 4± fine-structure levels are obtained. The ground-level photoionization cross section smoothly decreases with increasing energy, showing a very narrow, strong Rydberg resonance converging to the CIV 1s22p threshold. The work shows that prominent Seaton resonances for 2sns states with n ≥ 5, caused by photoexcitation of the core electron below the 2p threshold, visibly contribute to photoabsorption from excited states of C III. The present results provide highly accurate parameters of various model applications in plasma spectroscopy. Full article
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17 pages, 3207 KiB  
Article
Cyclohexane Vibronic States: A Combined VUV Spectroscopy and Theoretical Study
by Edvaldo Bandeira, Alessandra S. Barbosa, Nykola C. Jones, Søren V. Hoffmann, Márcio H. F. Bettega and Paulo Limão-Vieira
Molecules 2025, 30(7), 1493; https://doi.org/10.3390/molecules30071493 - 27 Mar 2025
Viewed by 370
Abstract
In this work, we provide results from a joint experimental and theoretical study of the vibronic features of cyclohexane (C6H12) in the photon energy range of 6.8–10.8 eV (182–115 nm). The high-resolution vacuum ultraviolet (VUV) photoabsorption measurements, together with [...] Read more.
In this work, we provide results from a joint experimental and theoretical study of the vibronic features of cyclohexane (C6H12) in the photon energy range of 6.8–10.8 eV (182–115 nm). The high-resolution vacuum ultraviolet (VUV) photoabsorption measurements, together with quantum chemical calculations at the time-dependent density functional theory (TDDFT) level, have helped to assign the major electronic excitations to mixed valence–Rydberg and Rydberg transitions. The C6H12 photoabsorption spectrum shows fine structure which has been assigned to CH2 scissoring, v3a1g, CH2 rocking, v4a1g, C–C stretching, v5a1g, and CCC bending/CC torsion, v24eg, modes. Molecular structure calculations at the DFT level for the neutral and cationic electronic ground-states have shown the relevant structural changes that are operative in the higher-lying electronic states. Photolysis lifetimes in the Earth’s atmosphere are shown to be irrelevant, while the main atmospheric sink mechanism is the reaction with the OH radical. Potential energy curves have been obtained at the TDDFT level of theory, showing the relevance of interchange character mainly involving the CH2 scissoring, v3a1g, and CH2 rocking, v4a1g, modes, while Jahn–Teller distortion yields weak vibronic coupling involving the non-totally symmetric CCC bending/CC torsion, v24eg, mode. Full article
(This article belongs to the Special Issue Exclusive Feature Papers in Physical Chemistry, 3nd Edition)
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10 pages, 1251 KiB  
Communication
Engineering Terahertz Light–Matter Interaction with Quantum Electronic Metamaterials
by Igor I. Smolyaninov and Vera N. Smolyaninova
Electronics 2025, 14(4), 679; https://doi.org/10.3390/electronics14040679 - 10 Feb 2025
Viewed by 709
Abstract
While electromagnetic metamaterials completely revolutionized optics and radio frequency engineering, recent progress in the development of conceptually related electronic metamaterials was more slow. Similar to electromagnetic metamaterials, which engineer material response to the electromagnetic field of a photon, the purpose of electronic metamaterials [...] Read more.
While electromagnetic metamaterials completely revolutionized optics and radio frequency engineering, recent progress in the development of conceptually related electronic metamaterials was more slow. Similar to electromagnetic metamaterials, which engineer material response to the electromagnetic field of a photon, the purpose of electronic metamaterials is to affect electron propagation and its wave function by changing material response to its electric field. This makes electronic metamaterials an ideal tool for engineering light–matter interaction in semiconductors and superconductors. Here, we propose the use of Fermi’s quantum refraction, which was previously observed in the terahertz spectroscopy of Rydberg atoms and two-dimensional surface electronic states, as a novel tool in quantum electronic metamaterial design. In particular, we demonstrate several potential applications of this concept in two-dimensional metamaterial superconductors and “universal quantum dots” designed for operation in the terahertz frequency range. Full article
(This article belongs to the Special Issue Terahertz Optics and Spectroscopy)
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13 pages, 807 KiB  
Article
High-Resolution Fourier Transform Spectra of Atomic Sulfur: Testing of Modified Quantum Defect Theory
by Vladislav E. Chernov, Nikolai L. Manakov, Alexei V. Meremianin, Alexander V. Naskidashvili, Svatopluk Civiš, Martin Ferus, Petr Kubelík, Ekaterina M. Zanozina and Oxana V. Zetkina
Atoms 2025, 13(2), 16; https://doi.org/10.3390/atoms13020016 - 8 Feb 2025
Viewed by 728
Abstract
QDT (quantum defect theory) is an effective technique for calculating processes involving highly excited (Rydberg) states of atoms, ions, and molecules with one valence electron outside filled shells, whose spectrum generally resembles a hydrogen-like atom’s spectrum. At the expense of some modification of [...] Read more.
QDT (quantum defect theory) is an effective technique for calculating processes involving highly excited (Rydberg) states of atoms, ions, and molecules with one valence electron outside filled shells, whose spectrum generally resembles a hydrogen-like atom’s spectrum. At the expense of some modification of QDT, in this paper, we extend its applicability to describe low- and intermediate-excited levels of atoms with more complex spectra (on the example of atomic sulfur S I). Transitions between just such states are responsible for the infrared (IR) spectra of atoms. While the quantum defects (QDs) of the highly excited Rydberg levels are determined by the energies of individual levels near the ionization threshold, the radial wave functions of low excited electronic states, in the framework of our modification of QDT, include the QD dependence on energy over a wide energy range; this dependence is determined from the whole spectral series. We show that, outside the atomic core domain, the electron radial functions calculated using modified semi-phenomenological QDT agree well with ab initio calculations. As another assessment of QDT accuracy, we show satisfactory agreement of the probabilities of dipole transitions in S I, taken from the NIST Atomic Spectra Database, with our QDT calculations. We perform an indirect experimental verification of QDT on the basis of spectra of S I in gas-discharge plasma measured by time-resolved high-resolution Fourier transfer spectroscopy (FTS). The Boltzmann plot built from our measured spectra demonstrates that QDT provides a satisfactory approximation for calculating the experimental lines’ intensities. Full article
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12 pages, 996 KiB  
Article
Spin–Phonon Relaxation Dynamics from a Conical Intersection of Trapped Rydberg Ions
by Manish Chaudhary, Rejish Nath and Weibin Li
Photonics 2024, 11(12), 1135; https://doi.org/10.3390/photonics11121135 - 2 Dec 2024
Viewed by 1646
Abstract
Non-adiabatic processes near conical intersections are rooted in the stronger coupling between electronic and nuclear degrees of freedom. Using a system of two trapped Rydberg ions, their high polarizability and strong dipolar interactions allow to form a conical intersection, where dynamics takes place [...] Read more.
Non-adiabatic processes near conical intersections are rooted in the stronger coupling between electronic and nuclear degrees of freedom. Using a system of two trapped Rydberg ions, their high polarizability and strong dipolar interactions allow to form a conical intersection, where dynamics takes place on a microsecond time scale. Rydberg lifetimes are typically from a few to tens of microseconds, which could affect the conical dynamics. We study the effect of the finite lifetime of the Rydberg state on the vibronic dynamics around the conical intersection via analyzing the master equation. Through mean field and numerical calculations, damping dynamics are found in both the phonon populations and electronic states depending on the initial states. It is found that oscillatory vibronic dynamics can be seen clearly within the Rydberg lifetime, permitting to observe the conical effect in the trapped Rydberg ion system. Full article
(This article belongs to the Section Quantum Photonics and Technologies)
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14 pages, 1459 KiB  
Article
Symmetry Breaking in the Lowest-Lying Excited-State of CCl4: Valence Shell Spectroscopy in the 5.0–10.8 eV Photon Energy Range
by Luiz V. S. Dalagnol, Sarvesh Kumar, Alessandra S. Barbosa, Umma S. Akther, Nykola C. Jones, Søren V. Hoffmann, Márcio H. F. Bettega and Paulo Limão-Vieira
Molecules 2024, 29(23), 5619; https://doi.org/10.3390/molecules29235619 - 27 Nov 2024
Cited by 2 | Viewed by 1041
Abstract
We report absolute high-resolution vacuum ultraviolet (VUV) photoabsorption cross-sections of carbon tetrachloride (CCl4) in the photon energy range 5.0–10.8 eV (248–115 nm). The molecular spectrum and electronic structure have been comprehensively investigated together with quantum chemical calculations, providing geometries, bond lengths, [...] Read more.
We report absolute high-resolution vacuum ultraviolet (VUV) photoabsorption cross-sections of carbon tetrachloride (CCl4) in the photon energy range 5.0–10.8 eV (248–115 nm). The molecular spectrum and electronic structure have been comprehensively investigated together with quantum chemical calculations, providing geometries, bond lengths, vertical excitation energies and oscillator strengths. The major electronic excitations have been assigned to valence and Rydberg transitions which are also accompanied by vibrational excitation assigned to degenerate stretching, v3t2 and degenerate deformation v4t2 modes. The rather complex nuclear dynamics along the degenerate deformation mode, v4t2, have been thoroughly investigated by Time-Dependent Density Functional Theory (TD-DFT) method. The relevant Jahn–Teller distortion operative within the lowest-lying electronic excited-state is shown here for the first time in order to yield a weak absorption feature at 6.156 eV. Further calculations on the potential energy curves for the singlet excited-states along the C–Cl stretching coordinate show the relevance of efficient C–Cl bond excision. Full article
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58 pages, 15704 KiB  
Review
Rydberg-State Double-Well Potentials of Van der Waals Molecules
by Tomasz Urbańczyk, Andrzej Kędziorski, Marek Krośnicki and Jarosław Koperski
Molecules 2024, 29(19), 4657; https://doi.org/10.3390/molecules29194657 - 30 Sep 2024
Viewed by 1094
Abstract
Recent progress in studies of Rydberg double-well electronic energy states of MeNg (Me = 12-group atom, Ng = noble gas atom) van der Waals (vdW) molecules is presented and analysed. The presentation covers approaches in experimental studies as well as ab initio-calculations of [...] Read more.
Recent progress in studies of Rydberg double-well electronic energy states of MeNg (Me = 12-group atom, Ng = noble gas atom) van der Waals (vdW) molecules is presented and analysed. The presentation covers approaches in experimental studies as well as ab initio-calculations of potential energy curves (PECs). The analysis is shown in a broader context of Rydberg states of hetero- and homo-diatomic molecules with PECs possessing complex ‘exotic’ structure. Laser induced fluorescence (LIF) excitation spectra and dispersed emission spectra employed in the spectroscopical characterization of Rydberg states are presented on the background of the diverse spectroscopic methods for their investigations such as laser vaporization–optical resonance (LV-OR), pump-and-probe methods, and polarization labelling spectroscopy. Important and current state-of-the-art applications of Rydberg states with irregular potentials in photoassociation (PA), vibrational and rotational cooling, molecular clocks, frequency standards, and molecular wave-packet interferometry are highlighted. Full article
(This article belongs to the Section Physical Chemistry)
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14 pages, 2053 KiB  
Article
SF6 Negative Ion Formation in Charge Transfer Experiments
by Sarvesh Kumar, Masamitsu Hoshino, Boutheïna Kerkeni, Gustavo García, Ghofrane Ouerfelli, Muneerah Mogren Al-Mogren and Paulo Limão-Vieira
Molecules 2024, 29(17), 4118; https://doi.org/10.3390/molecules29174118 - 30 Aug 2024
Cited by 1 | Viewed by 1214
Abstract
In the present work, we report an update and extension of the previous ion-pair formation study of Hubers, M.M.; Los, J. Chem. Phys. 1975, 10, 235–259, noting new fragment anions from time-of-flight mass spectrometry. The branching ratios obtained from the [...] Read more.
In the present work, we report an update and extension of the previous ion-pair formation study of Hubers, M.M.; Los, J. Chem. Phys. 1975, 10, 235–259, noting new fragment anions from time-of-flight mass spectrometry. The branching ratios obtained from the negative ions formed in K + SF6 collisions, in a wide energy range from 10.7 up to 213.1 eV in the centre-of-mass frame, show that the main anion is assigned to SF5 and contributing to more than 70% of the total ion yield, followed by the non-dissociated parent anion SF6 and F. Other less intense anions amounting to <20% are assigned to SF3 and F2, while a trace contribution at 32u is tentatively assigned to S formation, although the rather complex intramolecular energy redistribution within the temporary negative ion is formed during the collision. An energy loss spectrum of potassium cation post-collision is recorded showing features that have been assigned with the help of theoretical calculations. Quantum chemical calculations for the lowest-lying unoccupied molecular orbitals in the presence of a potassium atom are performed to support the experimental findings. Apart from the role of the different resonances participating in the formation of different anions, the role of higher-lying electronic-excited states of Rydberg character are noted. Full article
(This article belongs to the Special Issue Exclusive Feature Papers in Physical Chemistry, 2nd Edition)
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15 pages, 3029 KiB  
Article
Efficient Time-Dependent Method for Strong-Field Ionization of Atoms with Smoothly Varying Radial Steps
by Nicolas Douguet, Mikhail Guchkov, Klaus Bartschat and Samantha Fonseca dos Santos
Atoms 2024, 12(7), 34; https://doi.org/10.3390/atoms12070034 - 3 Jul 2024
Cited by 4 | Viewed by 1582
Abstract
We present an efficient numerical method to solve the time-dependent Schrödinger equation in the single-active electron picture for atoms interacting with intense optical laser fields. Our approach is based on a non-uniform radial grid with smoothly increasing steps for the electron distance from [...] Read more.
We present an efficient numerical method to solve the time-dependent Schrödinger equation in the single-active electron picture for atoms interacting with intense optical laser fields. Our approach is based on a non-uniform radial grid with smoothly increasing steps for the electron distance from the residual ion. We study the accuracy and efficiency of the method, as well as its applicability to investigate strong-field ionization phenomena, the process of high-order harmonic generation, and the dynamics of highly excited Rydberg states. Full article
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12 pages, 655 KiB  
Article
R-Matrix Calculation of Electron Collision with the BeO+ Molecular Ion
by Nilanjan Mukherjee, Abhijit Bhattacharyya and Kalyan Chakrabarti
Atoms 2024, 12(1), 2; https://doi.org/10.3390/atoms12010002 - 10 Jan 2024
Cited by 2 | Viewed by 2611
Abstract
We report here an R-matrix study of electron collision with the BeO+ molecular ion in its X 2Π ground state and at a single bond length, namely its equilibrium Re=2.7023 a0. Firstly, a good [...] Read more.
We report here an R-matrix study of electron collision with the BeO+ molecular ion in its X 2Π ground state and at a single bond length, namely its equilibrium Re=2.7023 a0. Firstly, a good quality configuration interaction calculation is performed for the BeO+ ground and excited states. We then perform scattering calculations using the R-matrix method to yield the cross-section for electronic excitation to several of its excited states. The electron impact dissociation of BeO+ through the two lowest dissociation channels, namely the Be+(2Sg) + O(3Pg) and Be+(2Sg) + O(1Dg) dissociation channels, is estimated using the electronic excitation cross-sections. Rotational excitation cross-sections are provided for the j(=0)j(=1,2,3) rotational transitions. Our calculations also yield e + BeO+ neutral Feshbach resonances and their widths which we present systematically categorized by their symmetry and quantum defects, and BeO-bound Rydberg states at the BeO+ equilibrium. The full potential energy curves for the resonant states, their widths and the bound Rydberg states, whose details we propose to give in a subsequent work, can be the starting point of other collision calculations. Full article
(This article belongs to the Special Issue Calculations and Measurements of Atomic and Molecular Collisions)
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7 pages, 1344 KiB  
Communication
Electromagnetically Induced Transparency Spectra of 6Li Rydberg Atoms
by Meimei Wu, Xin Bao, Shuxian Yu, Licheng Yi, Pingshuai Ren, Shujin Deng and Haibin Wu
Photonics 2023, 10(12), 1367; https://doi.org/10.3390/photonics10121367 - 12 Dec 2023
Cited by 2 | Viewed by 2223
Abstract
Rydberg atoms possess highly excited valence electrons that are far away from atomic cations. Compared with ground states, Rydberg states are excited states with a high principal quantum number n that exhibit large electric dipole moments and have a variety of applications in [...] Read more.
Rydberg atoms possess highly excited valence electrons that are far away from atomic cations. Compared with ground states, Rydberg states are excited states with a high principal quantum number n that exhibit large electric dipole moments and have a variety of applications in quantum information processing. In this communication, we report the measurement of the 6Li Rydberg excitation spectrum by ladder-type electromagnetically induced transparency (EIT) in a vapor cell. The 2pns/nd EIT spectra were recorded by sweeping the frequency of an ultraviolet Rydberg pumping laser while keeping the probing laser resonant to the 2s2p transition. All lasers were locked on an ultrastable optical Fabry-Pérot cavity and measured by an optical frequency comb. Our results provide valuable information to precisely determine quantum defects and enable novel experiments with Rydberg-dressed ultracold Fermi gases. Full article
(This article belongs to the Special Issue Optical Quantum System)
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14 pages, 640 KiB  
Article
Precision Spectroscopy of Radiation Transitions between Singlet Rydberg States of the Group IIb and Yb Atoms
by Igor L. Glukhov, Aleksandr A. Kamenski, Vitaly D. Ovsiannikov and Vitaly G. Palchikov
Photonics 2023, 10(10), 1153; https://doi.org/10.3390/photonics10101153 - 13 Oct 2023
Cited by 4 | Viewed by 1604
Abstract
The measurements of microwave (μw) and radio-frequency (RF) radiation quantitative parameters may be based on the quantum–optical approach to determine the spectral characteristics of radiation transitions between the Rydberg states of atoms. Frequencies and matrix elements are calculated for dipole transitions between opposite-parity [...] Read more.
The measurements of microwave (μw) and radio-frequency (RF) radiation quantitative parameters may be based on the quantum–optical approach to determine the spectral characteristics of radiation transitions between the Rydberg states of atoms. Frequencies and matrix elements are calculated for dipole transitions between opposite-parity Rydberg states nL 1L and nL±1 1L±1 (where n= n,n±1,n±2) of the singlet series in the alkaline–earth–metal-like atoms of group IIb (Zn, Cd, Hg) and Yb. The matrix elements determine the shifts of Rydberg-state energy levels in the field of resonance μw or RF radiation, splitting the resonance of electromagnetically induced transparency (EIT) for intensely absorbed probe radiation. Numerical computations based on the single-electron quantum defect method (QDM) and the Fues’ model potential (FMP) approach with the use of the most reliable data from the current literature on quantum defect values are performed for frequencies and matrix elements of transitions between singlet Rydberg states of 1S0-, 1P1-, 1D2-, and 1F3-series in Zn, Cd, Hg, and Yb atoms. The calculated data are approximated by polynomials in the powers of the principal quantum numbers. The polynomial coefficients are determined with the use of a standard curve-fitting interpolation polynomial procedure for numerically calculated functions. These approximation expressions provide new possibilities for accurately evaluating the frequencies and matrix elements of dipole transitions between Rydberg states over a wide range of quantum numbers n >> 1, accompanied by the emission and absorption of μw and RF photons. Full article
(This article belongs to the Special Issue Precision Atomic Spectroscopy)
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28 pages, 3072 KiB  
Article
HF-Induced Artificial Injection of Energetic Electrons from the Earth’s Radiation Belt as a Powerful Source for Modification of Ionized and Neutral Components of the Earth’s Atmosphere
by Vladimir L. Frolov and Arkady V. Troitsky
Atmosphere 2023, 14(5), 843; https://doi.org/10.3390/atmos14050843 - 9 May 2023
Cited by 9 | Viewed by 2494
Abstract
It has been found in experiments at the SURA mid-latitude heating facility that the modification of the ionospheric F2 layer by powerful HF radio waves gives rise to artificial injection of energetic electrons from the Earth’s radiation belt into the atmosphere. The [...] Read more.
It has been found in experiments at the SURA mid-latitude heating facility that the modification of the ionospheric F2 layer by powerful HF radio waves gives rise to artificial injection of energetic electrons from the Earth’s radiation belt into the atmosphere. The spectral, energy, and spatial characteristics of such an injection are presented in the paper. It is significant that the energetic electrons excite the atoms and molecules of the atmosphere to Rydberg energy levels, followed by the transition of the excited atoms and molecules to lower energy states, accompanied by the radiation of the microwave electromagnetic emissions. It has been shown that the artificial injection of energetic electrons can be considered as an independent powerful source of generation of secondary artificial turbulence, the effect of which manifests itself at ionospheric and mesospheric heights both near the heating facility and at a large distance from it up to a thousand or more kilometers. Examples of such generation are given. Full article
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15 pages, 5016 KiB  
Article
Femtosecond Time-Resolved Observation of Relaxation and Wave Packet Dynamics of the S1 State in Electronically Excited o-Fluoroaniline
by Bumaliya Abulimiti, Huan An, Zhenfei Gu, Xulan Deng, Bing Zhang, Mei Xiang and Jie Wei
Molecules 2023, 28(4), 1999; https://doi.org/10.3390/molecules28041999 - 20 Feb 2023
Cited by 2 | Viewed by 2519
Abstract
Quantum beat frequency is the basis for understanding interference effects and vibrational wave packet dynamics and has important applications. Using femtosecond time-resolved mass spectrometry and femtosecond time-resolved photoelectron image combined with theoretical calculations, we study the electronic excited-state relaxation of o-fluoraniline molecule [...] Read more.
Quantum beat frequency is the basis for understanding interference effects and vibrational wave packet dynamics and has important applications. Using femtosecond time-resolved mass spectrometry and femtosecond time-resolved photoelectron image combined with theoretical calculations, we study the electronic excited-state relaxation of o-fluoraniline molecule and the time-dependent evolution of vibrational wave packets between different eigenstates. After the molecule absorbs a photon of 288.3 nm and is excited to the S1 state, intramolecular vibrational redistribution first occurs on the time scale τ1 = 349 fs, and then the transition to the triplet state occurs through the intersystem crossing on the time scale τ2 = 583 ps, and finally, the triplet state occurs decays slowly through the time scale τ3 = 2074 ps. We find the intramolecular vibrational redistribution is caused by the 00, 10b1 and 16a1 vibrational modes of the Sl state origin. That is, the 288.3 nm femtosecond laser excites the molecule to the S1 state, and the continuous flow of the vibrational wave packet prepares a coherent superposition state of three vibrational modes. Through extracting the oscillation of different peak intensities in the photoelectron spectrum, we observe reversible changes caused by mutual interference of the S1 00, S1 10b1 and S1 16a1 states when the wave packets flow. When the pump pulse is 280 nm, the beat frequency disappears completely. This is explained in terms of increases in the vibrational field density and characteristic period of oscillation, and statistical averaging makes the quantum effect smooth and indistinguishable. In addition, the Rydberg component of the S1 state is more clearly resolved by combining experiment and theory. Full article
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