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Keywords = low-lying excited states

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32 pages, 2308 KB  
Article
A Dynamical Model of Light Halo Nuclei
by Francisco Barranco, Gregory Potel and Enrico Vigezzi
Particles 2026, 9(2), 66; https://doi.org/10.3390/particles9020066 - 22 Jun 2026
Viewed by 292
Abstract
We present a review of theoretical studies of the structure and reactions of N = 7 and N = 8 nuclei in the vicinity of 11Li, carried out within a framework based on Nuclear Field Theory. The coupling of valence nucleons to [...] Read more.
We present a review of theoretical studies of the structure and reactions of N = 7 and N = 8 nuclei in the vicinity of 11Li, carried out within a framework based on Nuclear Field Theory. The coupling of valence nucleons to low-lying surface vibrations of the spherical core plays a central role, giving rise to self-energy processes that renormalize single-particle states and transfer form factors, as well as to an induced pairing interaction arising from the exchange of collective vibrations, which renormalizes the bare pairing force. Excitation spectra and cross sections for one- and two-nucleon transfer reactions populating states in the quasi-continuum are calculated and compared with available experimental data. Collective excitations in the particle-particle channel are investigated, with particular emphasis on Giant Pairing Vibrations and on their damping mechanisms arising from coupling to more complex configurations and continuum states. Comparisons with other theoretical schemes are also presented. We conclude that a coherent understanding of experimental data requires the detailed consideration of particle-vibration coupling effects. Full article
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26 pages, 11942 KB  
Article
Halo Nuclei from Ab Initio Nuclear Theory
by Petr Navrátil, Sofia Quaglioni, Guillaume Hupin, Michael Gennari and Kostas Kravvaris
Particles 2026, 9(2), 57; https://doi.org/10.3390/particles9020057 - 14 May 2026
Viewed by 416
Abstract
A realistic description of halo nuclei, characterized by low-lying breakup thresholds, requires a proper treatment of continuum effects. We have developed an ab initio approach, the No-Core Shell Model with Continuum (NCSMC), capable of describing both bound and unbound states in light nuclei [...] Read more.
A realistic description of halo nuclei, characterized by low-lying breakup thresholds, requires a proper treatment of continuum effects. We have developed an ab initio approach, the No-Core Shell Model with Continuum (NCSMC), capable of describing both bound and unbound states in light nuclei in a unified way. With chiral two- and three-nucleon interactions as the only input, we can predict the structure and dynamics of halo and other light nuclei and, by comparing to available experimental data, test the quality of chiral nuclear forces. We review NCSMC calculations of weakly bound states and resonances of the exotic halo nuclei 6He, 8B, 11Be, and 15C. For the latter, we discuss its production in the capture reaction 14C(n,γ)15C. We highlight the challenges of a description of 6He as a Borromean n-n-4He system. Finally, we present our calculations of excited states in 10Be exhibiting a one-neutron halo structure and a large scale No-Core Shell Model investigation of 11Li as a precursor of a full n-n-9Li NCSMC study. Full article
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10 pages, 420 KB  
Proceeding Paper
Atomic Structure Analysis and Radiative Properties with Einstein Coefficients for Ne-like Se (Se XXV)
by Malvika Singh, Richa Paijwar and Rinku Sharma
Phys. Sci. Forum 2026, 13(1), 6; https://doi.org/10.3390/psf2026013006 - 13 May 2026
Viewed by 394
Abstract
We present a detailed study of the atomic structure and radiative properties of highly charged neon-like selenium (Se XXV), motivated by its importance in plasma diagnostics, fusion research, and astrophysical spectroscopy. We calculated excitation energies and radiative parameters for the 50 lowest levels [...] Read more.
We present a detailed study of the atomic structure and radiative properties of highly charged neon-like selenium (Se XXV), motivated by its importance in plasma diagnostics, fusion research, and astrophysical spectroscopy. We calculated excitation energies and radiative parameters for the 50 lowest levels of fine structure using a fully relativistic multiconfiguration Dirac–Fock approach. We calculated transition wavelengths, radiative transition rates, oscillator strengths, and line strengths for electric dipole, magnetic dipole, electric quadrupole, and magnetic quadrupole transitions among the specified levels. We also evaluated Einstein coefficients for spontaneous and stimulated emission, transition dipole moments, and radiative lifetimes of the low-lying states. To validate the results, we performed independent relativistic calculations using an alternative theoretical method and compared the datasets to examine internal consistency. The calculated excitation energies and radiative parameters agree well with values reported in the National Institute of Standards and Technology database (NIST) and other published theoretical results. The agreement between the independent approaches confirms the consistency of the present dataset. These results provide reliable atomic data for spectral line identification and quantitative plasma modeling in laboratory and astrophysical environments and support ongoing experimental and diagnostic studies of highly charged ions. Full article
(This article belongs to the Proceedings of The 1st International Online Conference on Atoms)
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22 pages, 1632 KB  
Article
Quantum Choreography of the Nucleus: Rotations, Vibrations, and Emergent Structure
by Ani Aprahamian, Kevin Lee, Shelly Lesher and Roelof Bijker
Symmetry 2026, 18(5), 812; https://doi.org/10.3390/sym18050812 - 9 May 2026
Viewed by 362
Abstract
Nuclei are complex many-body quantum systems where interactions of the neutrons and protons via the strong, the weak, and the electromagnetic forces lead to the emergence of simple patterns of energy states that have been described by various theoretical approaches. One of the [...] Read more.
Nuclei are complex many-body quantum systems where interactions of the neutrons and protons via the strong, the weak, and the electromagnetic forces lead to the emergence of simple patterns of energy states that have been described by various theoretical approaches. One of the goals of all the theoretical models is the development of a universal theory that can be applied across the entire chart of nuclides. Significant progress has been made by experiments as well as the increasing sophistication of models, but a universal theory has yet to be established. A recent reviewof nuclei in the Z = 50–82 region of the chart of nuclides has analyzed all the available compiled data from several decades of studies towards a clarification of the low-lying structure of nuclei. Other reviews have reported and explained the emergence of multiple different shapes in nuclei at somewhat higher excitation energies than the ground state. Somehave challenged the interpretation of the first excited Kπ =0+ band as a vibration of ground state. This work attempts to provide a guide to determining the nature of the first excited Kπ =0+ band in nuclei by the combined use of nuclear lifetimes, energy level evolutions, dynamic moments of inertia, and intrinsic quadrupole moments extracted from transition probabilities. The result is that for a subset of the nuclei in this region, the Kπ =0+ band is consistent with the traditional β-vibration description of an oscillation built on the ground state. Full article
(This article belongs to the Special Issue Advances in Nuclear Physics and Symmetry)
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14 pages, 2350 KB  
Article
Electronic Structure, Ligand Effects, and Chemical Reactivity of the Ground and Low-Lying Excited Electronic States of NpO3+
by Taylor Gregory and Evangelos Miliordos
Molecules 2026, 31(8), 1258; https://doi.org/10.3390/molecules31081258 - 10 Apr 2026
Viewed by 739
Abstract
Multi-reference and density functional theory calculations are performed for the diatomic and ligated NpO3+ species. The main goal of this study is to provide insights into the stability of the experimentally synthesized N(CH2CH2NR)3NpO (R = Si [...] Read more.
Multi-reference and density functional theory calculations are performed for the diatomic and ligated NpO3+ species. The main goal of this study is to provide insights into the stability of the experimentally synthesized N(CH2CH2NR)3NpO (R = SiiPr3) coordination complex and probe its use as a catalyst for the oxidation of methane. The constructed potential energy curves for NpO3+ showed the presence of three different types of minima (Np3+O, Np4+O, Np5+O2−) depending on the neptunium–oxygen distance. All these minima are higher in energy than the Np2+ + O+ fragments, and the more stable Np5+O2− form is stabilized only due to the presence of the negatively charged -CH2NR moiety of the ligand. The C–H bond activation of methane was found to be possible only for the first quintet state of the complex which lies about 30 kcal/mol higher than the ground triplet state. Full article
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20 pages, 361 KB  
Article
Study of the Hyperfine Structure of Sr II, Ba I and Ba II: An MCDHF Approach for Modeling the Low-Lying Levels
by Lorenzo Nezosi, Lucas Maison, Patrick Palmeri, Per Jönsson and Michel Godefroid
Atoms 2026, 14(3), 17; https://doi.org/10.3390/atoms14030017 - 5 Mar 2026
Viewed by 755
Abstract
Using the Multiconfiguration Dirac–Hartree–Fock method as implemented in the General Relativistic Atomic Structure Package, the magnetic dipole and electric quadrupole hyperfine structure constants were determined for the ground and first excited levels of 135,137Ba II isotopes, as well as for 137Ba [...] Read more.
Using the Multiconfiguration Dirac–Hartree–Fock method as implemented in the General Relativistic Atomic Structure Package, the magnetic dipole and electric quadrupole hyperfine structure constants were determined for the ground and first excited levels of 135,137Ba II isotopes, as well as for 137Ba I and 87Sr II, to assess the robustness of the developed model. This study builds upon and extends previous investigations by examining the levels involved in resonance lines, with the aim of resolving persistent discrepancies in the hyperfine structure of 137Ba II and 87Sr II. New code developments such as the use of natural orbitals, as well as the addition of polarization effects and Configuration State Function Generators, as implemented in GRASPG, were tested for these heavy elements. The developed strategy allowed us to achieve encouraging results that satisfactorily agree with experiments for all studied levels but D5/22 in the 137Ba II isotope. This disagreement was also observed in 135Ba II isotope as well as in 87Sr II. With two valence electrons, 137Ba I is definitely more complex, requiring a multireference approach. Even with the latter, the theory–observation disagreement observed for the hyperfine structure of the low-lying levels remains large in comparison with the alkali-like systems. Possible ongoing developments to remediate this issue are discussed in the conclusions. Full article
(This article belongs to the Special Issue Computational Atomic Physics in Astrophysics)
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32 pages, 41323 KB  
Article
Photophysical Processes of Porphyrin and Corrin Complexes with Nickel and Palladium
by Maria Jaworska and Piotr Lodowski
Int. J. Mol. Sci. 2026, 27(3), 1577; https://doi.org/10.3390/ijms27031577 - 5 Feb 2026
Cited by 1 | Viewed by 906
Abstract
Nickel(II) and palladium(II) ions are capable of forming complexes with macrocyclic terapyrrole structures such as the porphyrin or corrin ring. Many different derivatives of these complexes are synthesized and studied because these compounds have potential numerous applications, including catalysis, various light-driven chemical reactions [...] Read more.
Nickel(II) and palladium(II) ions are capable of forming complexes with macrocyclic terapyrrole structures such as the porphyrin or corrin ring. Many different derivatives of these complexes are synthesized and studied because these compounds have potential numerous applications, including catalysis, various light-driven chemical reactions and processes related to intramolecular and intermolecular energy redistribution. Nickel porphyrins exhibit neither fluorescence nor phosphorescence when excited with light; however, palladium porphyrins, when excited to the singlet state, very quickly transform into the triplet state, and unlike nickel porphyrins, deactivation of the excited states occurs by phosphorescence. Palladium corrin has dual luminescent properties and exhibits both a weak fluorescence and strong phosphorescence. These photophysical differences are based on the complex energetic redistribution of singlet and triplet excited states interacting with each other in the intersystem crossing process. Based on the results of calculations at the DFT/TDDFT and CASSCF/NEVPT2 levels of theory, the structure of electronic excited states of model nickel(II) and palladium(II) complexes with corrin and porphyrin macro-rings was characterized and potential paths of photophysical processes leading to the occupancy of low-lying triplet states were described. In nickel complexes, very low-energy triplet states are the main cause of the rapid radiationless deactivation of excited states via triplet photophysical pathways. Full article
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22 pages, 2932 KB  
Article
Theoretical Calculation of Caq+ (q = 0, 1, 2) Interacting with a Krypton Atom: Electronic Structure and Vibrational Spectra Association
by Wissem Zrafi, Mohamed Bejaoui, Hela Ladjimi, Jamila Dhiflaoui and Hamid Berriche
Atoms 2026, 14(1), 5; https://doi.org/10.3390/atoms14010005 - 12 Jan 2026
Cited by 1 | Viewed by 908
Abstract
The potential energy curves and spectroscopic constants of the ground and several low-lying excited states of the Caq+-Kr (q = 0, 1, 2) van der Waals complexes were investigated using one- and two-electron pseudopotential approaches. This treatment effectively reduces the number [...] Read more.
The potential energy curves and spectroscopic constants of the ground and several low-lying excited states of the Caq+-Kr (q = 0, 1, 2) van der Waals complexes were investigated using one- and two-electron pseudopotential approaches. This treatment effectively reduces the number of active electrons in Caq+-Kr to a single valence electron for q = 1 and two valence electrons for q = 0, allowing the use of large and flexible basis sets for both Ca and Kr atoms. Within this work, potential energy curves (PECs) were calculated at the SCF level for the Ca+-Kr system, while both SCF and full configuration interaction (FCI) calculations were performed for the neutral Ca-Kr. Spin–orbit coupling effects were explicitly included in all calculations to accurately describe the fine-structure splitting of the asymptotic atomic states. The short-range core–core interaction for Ca2+-Kr was obtained using high-level CCSD(T) calculations. Spectroscopic constants were derived from the computed PECs and compared with available theoretical and experimental results, showing consistent trends. Furthermore, the transition dipole moments (TDM) were evaluated as a function of internuclear distances, including spin–orbit effects, to provide a comprehensive description of the electronic structure and radiative properties of these weakly bound systems. Full article
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
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16 pages, 1936 KB  
Article
L-Shell Photon Excitation Cross Sections for the Chlorine Isonuclear Sequence Clq+ (q=1−4): An Experimental Study
by Jean-Paul Mosnier, Eugene T. Kennedy, Denis Cubaynes, Ségolène Guilbaud and Jean-Marc Bizau
Atoms 2026, 14(1), 3; https://doi.org/10.3390/atoms14010003 - 4 Jan 2026
Viewed by 849
Abstract
We report experimental measurements of the absolute photoionization cross sections for chlorine ions in different stages of ionization, over photon energy ranges corresponding to the L-shell (2s and 2p subshells) excitations. Single, double and triple photoionization channels were investigated for the ions Cl [...] Read more.
We report experimental measurements of the absolute photoionization cross sections for chlorine ions in different stages of ionization, over photon energy ranges corresponding to the L-shell (2s and 2p subshells) excitations. Single, double and triple photoionization channels were investigated for the ions Cl+, Cl2+, Cl3+ and Cl4+. The measurements were performed on the PLéIADES beamline at the SOLEIL radiation storage ring facility, using the Multi-Analysis Ion Apparatus (MAIA). Resonance energies and line strengths are provided for the isonuclear sequence and the evolution of the inner shell photoionization behaviour is demonstrated for the chlorine ions as the degree of ionization is increased. While dominated by photoionization from the corresponding ground state ions, the photoion yields may also contain contributions from low-lying metastable states. The results provide useful data on these ions for plasma modelling and can serve as benchmarking experimental data for future atomic theoretical calculations. Full article
(This article belongs to the Section Atomic, Molecular and Nuclear Spectroscopy and Collisions)
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21 pages, 1435 KB  
Article
Electromagnetically Induced Transparency in a GaAs Coupled Quantum Dot-Ring
by R. V. H. Hahn, A. S. Giraldo-Neira, J. A. Vinasco, J. A. Gil-Corrales, A. L. Morales and C. A. Duque
Nanomaterials 2025, 15(18), 1455; https://doi.org/10.3390/nano15181455 - 22 Sep 2025
Cited by 2 | Viewed by 1411
Abstract
In this work, the ground and low-lying excited states in a GaAs coupled quantum dot-ring embedded in an AlGaAs cylindrical matrix are computed under the assumption of a finite confinement potential and an axisymmetric model by means of the finite element method and [...] Read more.
In this work, the ground and low-lying excited states in a GaAs coupled quantum dot-ring embedded in an AlGaAs cylindrical matrix are computed under the assumption of a finite confinement potential and an axisymmetric model by means of the finite element method and the effective mass approximation. The electron energy levels are studied as functions of the intensity of externally applied electric and magnetic fields. Electromagnetically induced transparency in the ladder configuration and linear optical absorption coefficient are calculated thereupon. Our results suggest that magnetic fields are more suitable than electric fields for controlling the optical properties of this nanostructure. Also, we found that the system’s response, however, exhibits a striking asymmetry: while the electromagnetically induced transparency is unexpectedly quenched under positive electric fields due to vanishing dipole transition matrix elements, this limitation is completely overcome by a magnetic field. Its application not only restores optical transparency across the full range of electric field values but also drives substantially larger energy level shifts and clear Aharonov–Bohm oscillations, making it a far more robust tool for controlling the optical properties of confined electrons in dot-ring coupled heterostructures. Full article
(This article belongs to the Section Nanoelectronics, Nanosensors and Devices)
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20 pages, 1554 KB  
Article
Structure of Odd-A Ag Isotopes Studied via Algebraic Approaches
by Stanimir Kisyov and Stefan Lalkovski
Symmetry 2025, 17(8), 1276; https://doi.org/10.3390/sym17081276 - 8 Aug 2025
Viewed by 983
Abstract
The structure of the odd-A silver isotopes Ag103115 is discussed within the frame of the interacting boson–fermion model (IBFM). An overview of their key properties is presented, with a particular attention paid to the “J-1 anomaly”, represented [...] Read more.
The structure of the odd-A silver isotopes Ag103115 is discussed within the frame of the interacting boson–fermion model (IBFM). An overview of their key properties is presented, with a particular attention paid to the “J-1 anomaly”, represented by an abnormal ordering of the lowest 7/2+ and 9/2+ states. By examining previously published data and newly performed calculations, it is demonstrated that the experimentally known level schemes and electromagnetic properties of Ag103115 can be reproduced well within IBFM-1 by using a consistent set of model parameters. The contribution of different single-particle orbitals to the structure of the lowest-lying excited nuclear states in Ag103115 is discussed. Given that the J-1 anomaly brings down the 7/2+ level from the j3 multiplet to energies, which can be thermally populated in hot stellar environments, the importance of low-lying excited states in odd-A silver isotopes for astrophysical processes is outlined. Full article
(This article belongs to the Special Issue Feature Papers in 'Physics' Section 2025)
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19 pages, 2243 KB  
Article
Theoretical Calculation of Ground and Electronically Excited States of MgRb+ and SrRb+ Molecular Ions: Electronic Structure and Prospects of Photo-Association
by Mohamed Farjallah, Hela Ladjimi, Wissem Zrafi and Hamid Berriche
Atoms 2025, 13(8), 69; https://doi.org/10.3390/atoms13080069 - 25 Jul 2025
Viewed by 1774
Abstract
In this work, a comprehensive theoretical investigation is carried out to explore the electronic and spectroscopic properties of selected diatomic molecular ions MgRb+ and SrRb+. Using high-level ab initio calculations based on a pseudopotential approach, along with large Gaussian basis [...] Read more.
In this work, a comprehensive theoretical investigation is carried out to explore the electronic and spectroscopic properties of selected diatomic molecular ions MgRb+ and SrRb+. Using high-level ab initio calculations based on a pseudopotential approach, along with large Gaussian basis sets and full valence configuration interaction (FCI), we accurately determine adiabatic potential energy curves, spectroscopic constants, transition dipole moments (TDMs), and permanent electric dipole moments (PDMs). To deepen our understanding of these systems, we calculate radiative lifetimes for vibrational levels in both ground and low-lying excited electronic states. This includes evaluating spontaneous and stimulated emission rates, as well as the effects of blackbody radiation. We also compute Franck–Condon factors and analyze photoassociation processes for both ions. Furthermore, to explore low-energy collisional dynamics, we investigate elastic scattering in the first excited states (21Σ+) describing the collision between the Ra atom and Mg+ or Sr+ ions. Our findings provide detailed insights into the theoretical electronic structure of these molecular ions, paving the way for future experimental studies in the field of cold and ultracold molecular ion physics. Full article
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27 pages, 7874 KB  
Article
Electronic Structure of the Ground and Low-Lying States of MoLi
by Constantinos Demetriou and Demeter Tzeli
Molecules 2025, 30(13), 2874; https://doi.org/10.3390/molecules30132874 - 6 Jul 2025
Cited by 1 | Viewed by 1356
Abstract
Molybdenum lithium compounds and materials are being researched and applied in cutting-edge industries; however, their bonding has not been explored in a systematic way. The present study investigates the MoLi molecule, to shed light on its bonding. Specifically, the electronic structure and bonding [...] Read more.
Molybdenum lithium compounds and materials are being researched and applied in cutting-edge industries; however, their bonding has not been explored in a systematic way. The present study investigates the MoLi molecule, to shed light on its bonding. Specifically, the electronic structure and bonding of the ground and 40 low-lying states of the MoLi molecule are explored, employing multireference methodologies, i.e., CASSCF and MRCISD(+Q) in conjunction with the aug-cc-pV5z(-PP) basis set. Bond distances, dissociation energies, dipole moments as well as common spectroscopic constants are given, while the potential energy curves are plotted. For the ground state, XΣ+6, it is found that Re = 2.708 Å, De = 24.1 kcal/mol, ωe = 316.8 cm1, ωexe = 2.11 cm1, and μ = 3.63 D. Overall, the calculated states present a variety of bonds, from weak van der Waals up to the formation of 2.5 bonds. The dissociation energies of the calculated states range from 2.3 kcal/mol (aΣ+8) to 34.7 (cΠ4), while the bond distances range from 2.513 Å to 3.354 Å. Finally, dipole moment values up to 3.72 D are calculated. In most states, a 2s2pz hybridization on Li and a 4dz25s5pz or 5s5pz hybridization on Mo are found. Moreover, it is observed that the excited Li(P2) atom forms the shortest bonds because its empty 2s0 orbital can easily accept electrons, resulting in a strong σ dative bond. Finally, the present work highlights the exceptional ability of lithium atoms to participate in a variety of bonding schemes, and it could provide the opening gate for further investigation of this species or associated material and complexes. Full article
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20 pages, 5870 KB  
Article
An Ab Initio Electronic Structure Investigation of the Ground and Excited States of ScH+, YH+, and LaH+
by Isuru R. Ariyarathna
Molecules 2025, 30(11), 2435; https://doi.org/10.3390/molecules30112435 - 2 Jun 2025
Cited by 4 | Viewed by 1474
Abstract
Multireference configuration interaction (MRCI), Davidson-corrected MRCI (MRCI+Q), coupled-cluster singles, doubles, and perturbative triples [CCSD(T)], and frozen-core full configuration interaction (fcFCI) calculations were carried out using large, correlation-consistent basis sets to investigate the excited states of the Sc atom and the spin–free and spin–orbit [...] Read more.
Multireference configuration interaction (MRCI), Davidson-corrected MRCI (MRCI+Q), coupled-cluster singles, doubles, and perturbative triples [CCSD(T)], and frozen-core full configuration interaction (fcFCI) calculations were carried out using large, correlation-consistent basis sets to investigate the excited states of the Sc atom and the spin–free and spin–orbit coupled potential energy profiles, energetics, spectroscopic constants, and electron populations of low-lying states of MH+ (M = Sc, Y, La). The core electron correlation effects, complete basis set effects, and spin–orbit coupling effects were also evaluated. The first four electronic states of all MH+ are 12Δ, 12Σ+, 12Π, and 22Σ+ with 1σ21, 1σ21, 1σ21, and 1σ21 single-reference electron configurations, respectively. These states of MH+ can be represented by the M2+H ionic structure. The ground states of ScH+, YH+, and LaH+ are 12Δ3/2, 12Σ+1/2, and 12Δ3/2 with 55.45, 60.54, and 62.34 kcal/mol bond energies, respectively. The core electron correlation was found to be vital for gaining accurate predictions on the ground and excited state properties of MH+. The spin–orbit coupling effects are minor for ScH+ but become substantial moving to YH+ and LaH+. Overall, the results of this work are in good agreement with the limited set of experimental findings of MH+ available in the literature and will be of use for future investigations. Furthermore, the theoretical approaches, findings, and trends reported here are expected to aid studies of similar species. Full article
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16 pages, 2781 KB  
Article
Tuning Low-Lying Excited States and Optical Properties in IndenoFluorene Diradicaloids and Longitudinally Extended Derivatives: A Computational Perspective
by Michele Orza, Andrea Zerbini and Fabrizia Negri
Chemistry 2025, 7(2), 47; https://doi.org/10.3390/chemistry7020047 - 19 Mar 2025
Cited by 1 | Viewed by 1713
Abstract
In this work, we have considered the family of indenofluorene (IF) and its longitudinally elongated variants fluorenofluorene and diindenoanthracene and investigated their low-lying excited states and optical properties via quantum-chemical studies at the density functional theory (DFT) level. Singlet ground-state diradicals exhibit distinct [...] Read more.
In this work, we have considered the family of indenofluorene (IF) and its longitudinally elongated variants fluorenofluorene and diindenoanthracene and investigated their low-lying excited states and optical properties via quantum-chemical studies at the density functional theory (DFT) level. Singlet ground-state diradicals exhibit distinct optical properties due to the presence of a low-lying state dominated by a doubly excited configuration (DE state), often below the lowest allowed singly excited state (SE state). IFs and their elongated derivatives, with tunable diradical character and both symmetric and nonsymmetric structures, provide an ideal platform for exploring DE state energy modulation and spectroscopic behavior. The study shows that absorption spectra simulated using time-dependent (TD) calculations based on unrestricted broken-symmetry antiparallel-spin reference configuration (TDUDFT) closely match the available experimental data. Additionally, it reveals distinct spectral behavior for symmetric and nonsymmetric derivatives, highlighting the role of lowest-lying weakly allowed excited states potentially promoting non-radiative deactivation pathways. Full article
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