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Search Results (929)

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Keywords = ab-initio calculations

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20 pages, 10445 KB  
Article
Ab Initio Computational Investigations of Low-Lying Electronic States of Yttrium Lithide and Scandium Lithide
by Jean Tabet, Nancy Zgheib, Sylvie Magnier and Fadia Taher
Computation 2026, 14(1), 14; https://doi.org/10.3390/computation14010014 - 8 Jan 2026
Viewed by 127
Abstract
Ab initio studies using CASSCF/MRCI calculations have been performed to investigate the spectroscopic properties of YLi and ScLi molecules. Our calculations have computed 25 singlet and triplet states for YLi and 37 electronic states for ScLi. The lowest lying states, including the ground [...] Read more.
Ab initio studies using CASSCF/MRCI calculations have been performed to investigate the spectroscopic properties of YLi and ScLi molecules. Our calculations have computed 25 singlet and triplet states for YLi and 37 electronic states for ScLi. The lowest lying states, including the ground state 1+ of YLi, have been investigated for the first time. The spin–orbit coupling in YLi has also been assessed from the splitting between Ω components generated from the lowest triplet lying Λ–S states. Regarding ScLi, the ground state is found to be the (1)3Δ state. Spectroscopic constants, energy levels at equilibrium, permanent dipole moments, and transition dipole moments have also been calculated. The potential energy curves for all calculated states have been displayed to large bond internuclear distances. In both ScLi and YLi, the potential energy curves have shown a small dissociation energy for the lowest states (1) 1,3Δ, (1) 1,3Π and (1) 1,3+. Full article
(This article belongs to the Special Issue Feature Papers in Computational Chemistry)
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16 pages, 7514 KB  
Article
Simulating Magnetic Ordering and Exchange Interactions in Ni2Co(BO3)2
by Svetlana Sofronova, Artem Chernyshev, Anna Selyanina, Aleksandr Krylov and Timofey Tislenko
Physics 2026, 8(1), 3; https://doi.org/10.3390/physics8010003 - 30 Dec 2025
Viewed by 237
Abstract
First-principles calculations of the structural and magnetic properties of kotoite Ni2Co(BO3)2 are carried out. The minimization of the lattice parameters shows the values to be in good agreement with the experimental data (the difference is less than 1%). [...] Read more.
First-principles calculations of the structural and magnetic properties of kotoite Ni2Co(BO3)2 are carried out. The minimization of the lattice parameters shows the values to be in good agreement with the experimental data (the difference is less than 1%). The atomic coordinates are calculated. Cobaltions are found tending to occupy position 2a and nickel ions tending to occupy position 4f. The same magnetic cell as in Ni3(BO3)2, but quadrupled in size (2a × b × 2c), found having the minimum exchange energy for Ni2Co(BO3)2. In Ni2Co(BO3)2, the magnetic moments are obtained oriented along the baxis, similar to that in Co3(BO3)2. Full article
(This article belongs to the Section Condensed Matter Physics)
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16 pages, 2244 KB  
Article
Fine Structure Investigation and Laser Cooling Study of the CdBr Molecule
by Ali Mostafa, Israa Zeid, Nariman Abu El Kher, Nayla El-Kork and Mahmoud Korek
Int. J. Mol. Sci. 2026, 27(1), 184; https://doi.org/10.3390/ijms27010184 - 23 Dec 2025
Viewed by 313
Abstract
The ab initio calculations of the electronic structure of the low-lying electronic states of the CdBr molecule are characterized in the 2S+1Λ(+/−) and Ω(+/−) representations using the complete active-space self-consistent field (CASSCF) method, followed by the multireference configuration interaction (MRCI) [...] Read more.
The ab initio calculations of the electronic structure of the low-lying electronic states of the CdBr molecule are characterized in the 2S+1Λ(+/−) and Ω(+/−) representations using the complete active-space self-consistent field (CASSCF) method, followed by the multireference configuration interaction (MRCI) method with Davidson correction (+Q). The potential energy curves are investigated, and spectroscopic parameters (Te, Re, ωe, Be, αe, μe, and De) of the bound states are determined and analyzed. In addition, the rovibrational constants (Ev, Bv, Dv, Rmin, and Rmax) are reported for the investigated states with and without spin–orbit coupling. The electronic transition dipole moment curve (TDMC) is obtained for the C2Π1/2 − X2Σ+1/2 transition. Based on these data, Franck–Condon factors (FCFs), Einstein coefficient of spontaneous emission Aν’ν, radiative lifetime τ, vibrational branching ratios, and the associated slowing distance are evaluated. The results indicated that CdBr is a promising candidate for direct laser cooling, and a feasible cooling scheme employing four pumping and repumping lasers in the ultraviolet region with suitable experimentally accessible parameters is presented. These findings provide practical guidance for experimental spectroscopists exploring ultracold diatomic molecules and their applications. Full article
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24 pages, 13059 KB  
Article
Nanoscale Nickel–Chromium Powder as a Catalyst in Reducing the Temperature of Hydrogen Desorption from Magnesium Hydride
by Alan Kenzhiyev, Viktor N. Kudiiarov, Alena A. Spiridonova, Daria V. Terenteva, Dmitrii B. Vrublevskii, Leonid A. Svyatkin, Dmitriy S. Nikitin and Egor B. Kashkarov
Hydrogen 2025, 6(4), 123; https://doi.org/10.3390/hydrogen6040123 - 17 Dec 2025
Viewed by 782
Abstract
The composite material MgH2-EEWNi-Cr (20 wt. %) with a hydrogen content of 5.2 ± 0.1 wt.% is characterized by improved hydrogen interaction properties compared to the original MgH2. The dissociation of the material occurs in three temperature ranges (86–117, [...] Read more.
The composite material MgH2-EEWNi-Cr (20 wt. %) with a hydrogen content of 5.2 ± 0.1 wt.% is characterized by improved hydrogen interaction properties compared to the original MgH2. The dissociation of the material occurs in three temperature ranges (86–117, 152–162, and 281–351 °C), associated with a complex of effects consisting of changes in the specific surface area of the material, alterations in the crystal lattice during ball milling, and changes in the electronic structure in the presence of a Ni–Cr catalyst, based on first-principles calculations. The decrease in desorption activation energy (Ed = 65–96 ± 1 kJ/mol, ΔEd = 59–90 kJ/mol) is due to the catalytic effect of N–Cr, leading to a faster decomposition of the hydride phase. Based on the results of ab initio calculations, Ni–Cr on the MgH2 surface leads to a significant decrease in hydrogen binding energy (ΔEb = 60%) compared to pure magnesium hydride due to the formation of Ni–H and Cr–H covalent bonds, which reduces the degree of H–Mg ionic bonding. The results obtained allow us to expand our understanding of the mechanisms of hydrogen interaction with storage materials and the possibility of using these as mobile hydrogen storage and transportation materials. Full article
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18 pages, 4375 KB  
Article
Gauge Transformation Effects of Nonlocal Potentials in the Strong-Field Approximation for Complex Molecules
by Shuning Gao, Shuang Wu, Jun Wang and Lanhai He
Symmetry 2025, 17(12), 2166; https://doi.org/10.3390/sym17122166 - 16 Dec 2025
Viewed by 270
Abstract
In ultrafast science, the strong-field approximation (SFA) provides a powerful framework to describe high-order harmonic generation (HHG) and related phenomena. Meanwhile, within the current ab initio theoretical framework, the use of nonlocal potentials in calculating multi-electron molecular wave functions is almost unavoidable. We [...] Read more.
In ultrafast science, the strong-field approximation (SFA) provides a powerful framework to describe high-order harmonic generation (HHG) and related phenomena. Meanwhile, within the current ab initio theoretical framework, the use of nonlocal potentials in calculating multi-electron molecular wave functions is almost unavoidable. We find that when such wave functions are directly applied to compute transition dipole moments for correcting SFA, it introduces a fundamental gauge transformation problem. Specifically, the nonlocal potential contributes an additional gauge-dependent phase function to the dipole operator, which directly modifies the phase of the transition dipole. As a consequence, the saddle-point equations acquire an entirely different structure compared to the standard SFA, leading to a splitting of the conventional short and long classical trajectories in HHG into multiple distinct quantum trajectories. Here, “complex molecules” refers to multi-center molecular systems whose nonlocal electronic structure leads to gauge-dependent strong-field responses. Our analysis highlights that the validity of gauge in-variation cannot be assumed universally in SFA framework. Our approach combines the molecular strong-field approximation with gauge transformation analysis, incorporating nonlocal pseudopotentials, saddle-point equations, and multi-center recombination effects. Full article
(This article belongs to the Section Physics)
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15 pages, 2255 KB  
Article
Photochemical Rearrangements of Pyridine N-Oxides: Pathways to Oxaziridine Derivatives
by Cristian J. Guerra, Yeray A. Rodríguez-Núñez, Efraín Polo-Cuadrado, Mitchell Bacho, Jorge Soto-Delgado, Victor B. Fuentes-Guerrero, Eduardo I. Torres-Olguín, Cristopher A. Fica-Cornejo, Daniela Rodríguez-García, Manuel E. Taborda-Martínez, Leandro Ayarde-Henríquez and Adolfo E. Ensuncho
Molecules 2025, 30(24), 4776; https://doi.org/10.3390/molecules30244776 - 14 Dec 2025
Viewed by 358
Abstract
The photochemical behavior of substituted pyridine N-Oxides is characterized by complex rearrangements culminating in the formation of valuable photoproducts. The CAS(10,8)/cc-pVDZ approach with NEVPT2 corrections is applied to investigate geometric distortions associated with the S1 excited state, conical intersections, and the ultimate [...] Read more.
The photochemical behavior of substituted pyridine N-Oxides is characterized by complex rearrangements culminating in the formation of valuable photoproducts. The CAS(10,8)/cc-pVDZ approach with NEVPT2 corrections is applied to investigate geometric distortions associated with the S1 excited state, conical intersections, and the ultimate transformation of pyridine N-Oxides into oxaziridine-like derivative formations. Our results reveal that the deactivation of the S1 excited state is driven by an out-of-plane rotation of the N-O oxygen atom, resulting in the formation of a lone pair over the nitrogen atom. Along this excited-state reaction pathway, the N-O bond undergoes significant weakening, while a C=C double bond emerges mainly in the excited state. The deactivation at the minimum-energy conical intersection leading to the ground state reveals the formation of an oxaziridine-like intermediate, which subsequently converts into a 1,2-oxazepine derivative. Full article
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19 pages, 3573 KB  
Article
Time-Dependent Theory of Electron Emission Perpendicular to Laser Polarization for Reconstruction of Attosecond Harmonic Beating by Interference of Multiphoton Transitions
by Matías L. Ocello, Sebastián D. López, Martín Barlari and Diego G. Arbó
Atoms 2025, 13(12), 99; https://doi.org/10.3390/atoms13120099 - 10 Dec 2025
Viewed by 380
Abstract
We present a time-dependent nonperturbative theory of the reconstruction of attosecond beating by interference of multiphoton transitions (RABBIT) for photoelectron emission from hydrogen atoms in the transverse direction relative to the laser polarization axis. Extending our recent semiclassical strong-field approximation (SFA) model developed [...] Read more.
We present a time-dependent nonperturbative theory of the reconstruction of attosecond beating by interference of multiphoton transitions (RABBIT) for photoelectron emission from hydrogen atoms in the transverse direction relative to the laser polarization axis. Extending our recent semiclassical strong-field approximation (SFA) model developed for parallel emission, we deduce analytical expressions for the transition amplitudes and demonstrate that the photoelectron probability distribution can be factorized into interhalf- and intrahalfcycle interference contributions, the latter modulating the intercycle pattern responsible for sideband formation. We identify the intrahalfcycle interference arising from trajectories released within the same half cycle as the mechanism governing attosecond phase delays in the perpendicular geometry. Our results reveal the suppression of even-order sidebands due to destructive interhalfcycle interference, leading to a characteristic spacing between adjacent peaks that doubles the standard spacing observed along the polarization axis. Comparisons with numerical calculations of the SFA and the ab initio solution of the time-dependent Schrödinger equation confirm the accuracy of the semiclassical description. This work provides a unified framework for understanding quantum interferences in attosecond chronoscopy, bridging the cases of parallel and perpendicular electron emission in RABBIT-like protocols. Full article
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13 pages, 5141 KB  
Article
Designing 2D Wide Bandgap Semiconductor B12X2H6 (X=O, S) Based on Aromatic Icosahedral B12
by Pei Gong, Jun-Hui Yuan, Gen-Ping Wu, Zhi-Hong Liu, Hao Wang and Jiafu Wang
Nanomaterials 2025, 15(23), 1803; https://doi.org/10.3390/nano15231803 - 29 Nov 2025
Viewed by 379
Abstract
Constructing two-dimensional (2D) novel materials using superatoms as building blocks is currently a highly promising research field. In this study, by employing an oxidation strategy and based on first-principles calculations, we successfully predicted two types of 2D borides, namely B12X2 [...] Read more.
Constructing two-dimensional (2D) novel materials using superatoms as building blocks is currently a highly promising research field. In this study, by employing an oxidation strategy and based on first-principles calculations, we successfully predicted two types of 2D borides, namely B12X2H6 (X=O, S), with icosahedral B12 serving as their core structural unit. Ab initio molecular dynamics simulations demonstrated that these two borides exhibit exceptionally high structural stability, retaining their original structural characteristics even under extreme temperature conditions as high as 2200 K. Electronic structure calculations revealed that B12O2H6 and B12S2H6 are both wide-bandgap indirect semiconductors, with bandgap widths reaching 4.92 eV and 5.25 eV, respectively. Analysis via deformation potential theory showed that the phonon-limited carrier mobilities of B12X2H6 can reach up to 1469 cm2V−1s−1 (for B12O2H6) and 635 cm2V−1s−1 (for B12S2H6). Notably, the surfaces of B12X2H6 demonstrate excellent migration performance for alkali metal ions, with migration barriers as low as 0.15 eV (for B12O2H6) and 0.033 eV (for B12S2H6). This study not only expands the family of 2D materials based on B12 superatoms but also provides a solid theoretical foundation for the potential application of B12X2H6 in the field of low-dimensional materials. Full article
(This article belongs to the Special Issue Analysis of 2D Semiconductor: Materials, Devices and Applications)
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20 pages, 3460 KB  
Article
Ketoprofen Recognition and Sensing by Zn(II) Complexes with Fluorogenic Triamine Receptors
by Yschtar Tecla Simonini Steiner, Liviana Mummolo, Rania Zartit, Massimo Innocenti, Marco Bonechi, Matteo Savastano, Luca Prodi, Andrea Bencini, Riccardo Chelli and Giammarco Maria Romano
Molecules 2025, 30(23), 4556; https://doi.org/10.3390/molecules30234556 - 26 Nov 2025
Viewed by 652
Abstract
Ligands L1 and L2 are composed, respectively, by a diethylenetriamine or a dipropylenetriamine moiety linked at their extremities to anthracene units through methylene bridges and form stable 1:1 complexes with Zn(II), in which the metal is coordinated by all three nitrogens of the [...] Read more.
Ligands L1 and L2 are composed, respectively, by a diethylenetriamine or a dipropylenetriamine moiety linked at their extremities to anthracene units through methylene bridges and form stable 1:1 complexes with Zn(II), in which the metal is coordinated by all three nitrogens of the ligands. Zn(II) binding by L1 leads to a marked enhancement of the fluorescence emission, thanks to the inhibition of the photoinduced electron transfer (PET) process from the benzylic amine groups of the triamine sub-unit to the excited fluorophore, which normally quenches the emission of fluorescent polyamine receptors. Conversely, the emission of L2 is somewhat quenched by Zn(II) binding likely due—as also indicated by ab initio calculations and molecular dynamics simulations—to the formation of cation π quenching contacts between the metal and the anthracene moieties that overcome the effects of PET inhibition. The Zn(II) complexes of both ligands are able to bind ketoprofen (KP) in its anionic form, thanks to the formation of COO—Zn(II) coordinative bonds, to form [KPZnL]+ and [(KP)2ZnL] (L = L1 or L2) ternary adducts. While KP binding to [ZnL2]2+ enhances the fluorophore emission, coordination of KP to [ZnL1]2+ slightly reduces the anthracene emission, due, once again, to the formation in the L1 ternary complexes of marked cation π contacts. Full article
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18 pages, 1933 KB  
Article
Atomistic Insights into Structures and Dynamic Properties for Amorphous Aluminum/Lithium Alloys and Oxides
by Jiageng Xiong, Mi Zhang, Nijing Guo, Lijun Bao, Hua Hou and Baoshan Wang
Aerospace 2025, 12(12), 1041; https://doi.org/10.3390/aerospace12121041 - 24 Nov 2025
Viewed by 594
Abstract
Aluminum/lithium (Al/Li) alloy is a promising energetic material for solid composite propellants. The bonding structure, topological shape, density, cohesive energy, and mechanical and diffusion properties of the Al/Li alloy bulks and oxidation shells are calculated systematically using the large-scale force-field molecular dynamics simulations [...] Read more.
Aluminum/lithium (Al/Li) alloy is a promising energetic material for solid composite propellants. The bonding structure, topological shape, density, cohesive energy, and mechanical and diffusion properties of the Al/Li alloy bulks and oxidation shells are calculated systematically using the large-scale force-field molecular dynamics simulations together with the ab initio quantum chemistry calculations. Theoretical predicted structures and dynamic properties for various crystalline and amorphous reference compounds are compared with the available experimental data to validate the force-field simulations. The dependence of the structures and properties on the Li contents ranging from 2 to 50 wt% is clarified. It is revealed that both Al and Li atoms are resident in the same Al or Li environment in the Al/Li alloys. The presence of the crystalline δ’-Al3Li and β-AlLi phases in the Al/Li alloys is rationalized in terms of the coordination of Al/Li and the thermodynamic free energy of Li substitution. A homogenous six-coordinated Al/Li alloy could be generated with a Li content of 20 wt%. Young’s moduli of the alloys are improved via the low Li addition due to the anisotropic effect. The Al/Li/O oxidation shell is less dense than the amorphous alumina but the densities of oxides are generally higher than those of the corresponding Al/Li alloys. As the Li content increases, the Al/Li/O oxides form the ordered four-coordinated AlO4 passages together with the under-coordinated Li-O units, leading to considerably deteriorated mechanical performance and efficient Li diffusion with an activation energy of about 20 kJ/mol. The present work provides a deep understanding of the Al/Li alloys and Al/Li/O oxides in terms of performance and exposure stability. Full article
(This article belongs to the Special Issue Combustion of Solid Propellants)
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22 pages, 5877 KB  
Article
Spectroscopic Properties of Polysulfide Anions, Radical Anions, and Molecules: Ab Initio Calculations and Application to Minerals of the Sodalite and Cancrinite Groups
by Aleksandr I. Bogdanov, Nikita V. Chukanov, Roman Yu. Shendrik and Igor V. Pekov
Minerals 2025, 15(11), 1207; https://doi.org/10.3390/min15111207 - 16 Nov 2025
Viewed by 658
Abstract
Until 2021, experimental data on polysulfide groups in feldspathoids were limited to the properties of the S3•− chromophore center and the S2•− luminescence center in sodalite-group minerals. Interpretation of some spectroscopic data on other S-bearing groups in feldspathoids remained [...] Read more.
Until 2021, experimental data on polysulfide groups in feldspathoids were limited to the properties of the S3•− chromophore center and the S2•− luminescence center in sodalite-group minerals. Interpretation of some spectroscopic data on other S-bearing groups in feldspathoids remained ambiguous because of significant differences between calculated data for isolated polysulfide species and experimental data for polysulfide groups in liquid sulfur, solutions, and matrix-isolated species published in different literature sources. For this reason, configurations of stable and metastable structures and parameters of the absorption spectra in the ultraviolet, visible, and near-infrared (UV-Vis-NIR) region and in the ESR and Raman spectra of various structure modifications of polysulfide Sn2− anions, Sn•− radical anions, and Sn neutral molecules (n = 2–6) as well as HS in the sodalite cage of sapozhnikovite have been calculated in frames of the density functional theory using the VASP and ORCA software packages. Taking into account the obtained results of theoretical calculations, spectroscopic properties of extra-framework polysulfide groups in natural tectosilicates belonging to the cancrinite and sodalite groups are discussed. The obtained results made it possible to confirm and partially clarify the interpretation of the experimental spectroscopic data for S-containing feldspathoids obtained by the authors of this work over the past five years. Full article
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21 pages, 2562 KB  
Article
A Simplified Methodology for Solvent Screening in Selective Extraction of Lipids from Microalgae Based on Hansen Solubility Parameters
by Costas Tsioptsias, Stefania Mitis, Alexandra Rentzela, Kalitsa Alvanou, Dimitra Kelesi, Christos Manolis, Anastasia Stergiou, Sotirios D. Kalamaras and Petros Samaras
Molecules 2025, 30(22), 4428; https://doi.org/10.3390/molecules30224428 - 16 Nov 2025
Viewed by 579
Abstract
Microalgae are considered a potential source of fatty acid esters that are suitable for biodiesel production. However, a principal bottleneck in lipids extraction is related to the selection of appropriate solvents in order to obtain an efficient process. In this work, a simple [...] Read more.
Microalgae are considered a potential source of fatty acid esters that are suitable for biodiesel production. However, a principal bottleneck in lipids extraction is related to the selection of appropriate solvents in order to obtain an efficient process. In this work, a simple methodology based on Hansen Solubility Parameters (HSP) was developed, aiming to solvent screening towards selective extraction of lipid compounds: main parameters that were considered for an optimum solvent included the partitioning of free fatty acids and other non-desired solutes, e.g., pigments and phospholipids, as well as the minimum water dissolution. The method takes into account the affinity of a candidate solvent with desired and non-desired solutes along with their relative differences. A large number of solvents (>5000) were scanned by this method for their capacity to selectively extract fatty acid esters from microalgae biomass, and hexane proved to be among the optimum solvents. This prediction was supported by the Snyder’s polarity index as well as ab initio quantum mechanical Density Functional Theory (DFT) calculations of the Gibbs free energy of solvation and partition coefficients. Moreover, model validation carried out by liquid–liquid extraction of algal liquor with hexane and other solvents, and measurement of lipids allocation using paper chromatography and spectroscopy. Low lipids yield was observed, while the extract was enriched in fatty acid esters. A critical discussion is provided regarding the low yield ratios and potential implications due to overestimation of lipids content in microalgae. Full article
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13 pages, 4736 KB  
Article
Decomposition Dynamics of a New Noble-Gas Compound
by Arik Cohen and Robert Benny Gerber
Molecules 2025, 30(22), 4398; https://doi.org/10.3390/molecules30224398 - 14 Nov 2025
Viewed by 453
Abstract
This paper deals with the stability and decomposition of a recently predicted noble-gas compound, HXeNH2. Despite natural progress and interest in noble-gas hydrides, little is known of their decomposition reaction. In this study, the dissociation reaction is explored by ab initio [...] Read more.
This paper deals with the stability and decomposition of a recently predicted noble-gas compound, HXeNH2. Despite natural progress and interest in noble-gas hydrides, little is known of their decomposition reaction. In this study, the dissociation reaction is explored by ab initio calculations and by Ab Initio Molecular Dynamics (AIMD) simulations. The results could be important for the future experimental search of the compound. It is found that the main decomposition channel is HXeNH2 → H+Xe+NH2. A key step in the reaction is found to be a rearrangement of the partial charges of the atoms involved. The results could be of significance also for reactions of other compounds with Xe-N chemical bond and other noble-gas hydrides. Full article
(This article belongs to the Special Issue Molecular Dynamics for Chemical Reactions)
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13 pages, 1217 KB  
Article
Photodissociation Processes Involving the SiH+ Molecular Ion: New Datasets for Modeling
by V. A. Srećković, H. Delibašić-Marković, L. M. Ignjatović, V. Petrović and V. Vujčić
Data 2025, 10(11), 185; https://doi.org/10.3390/data10110185 - 7 Nov 2025
Viewed by 684
Abstract
This paper investigates the photodissociation of the SiH+ molecular ion, a non-symmetric diatomic species composed of silicon and hydrogen. We provide calculated molecular data and characterize electronic states, deriving cross-sections and spectral absorption rate coefficients as functions of temperature (1000–10,000 [...] Read more.
This paper investigates the photodissociation of the SiH+ molecular ion, a non-symmetric diatomic species composed of silicon and hydrogen. We provide calculated molecular data and characterize electronic states, deriving cross-sections and spectral absorption rate coefficients as functions of temperature (1000–10,000 K) and EUV and UV wavelength. The calculations are performed within a quantum–mechanical framework of bound–free radiative transitions, using ab initio electronic potentials and dipole transition functions as inputs. In addition, we present a straightforward fitting formula that enables practical interpolation of photodissociation cross-sections and spectral rate coefficients, providing a novel closed-form representation of the dataset for modeling purposes. The resulting dataset provides a consistent and accessible reference for advanced photochemical modeling in laboratory plasmas and astrophysical environments. Full article
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22 pages, 2682 KB  
Review
Unitary Entities Are the True “Atoms”
by Chris Jeynes and Michael Charles Parker
Entropy 2025, 27(11), 1119; https://doi.org/10.3390/e27111119 - 30 Oct 2025
Viewed by 557
Abstract
Quantitative Geometrical Thermodynamics (QGT) exploits the entropic Lagrangian–Hamiltonian canonical equations of state as applied to entities obeying the holographic principle and exhibiting Shannon information, the creation of which measures the (validly defined) “entropic purpose” of the system. QGT provides a physical description for [...] Read more.
Quantitative Geometrical Thermodynamics (QGT) exploits the entropic Lagrangian–Hamiltonian canonical equations of state as applied to entities obeying the holographic principle and exhibiting Shannon information, the creation of which measures the (validly defined) “entropic purpose” of the system. QGT provides a physical description for what we might consider the true “atoms” of physical science and has also recently enabled a number of significant advances: accounting ab initio for the chirality of DNA and the stability of Buckminsterfullerene; the size of the alpha particle (and other nuclear entities) and the lifetime of the free neutron; and the shape, structure, and stability of the Milky Way galaxy. All these entities, ranging in size over more than 38 orders of magnitude, can each be considered to be an “atom”; in particular, the size of the alpha is calculated from QGT by assuming that the alpha is a “unitary entity” (that is, than which exists no simpler). The surprising conclusion is that clearly compound entities may also be physically treated as unitary (“uncuttable”) according to a principle of scale relativity, where a characteristic size for such an entity must be specified. Since QGT is entropic, and is therefore described using a logarithmic metric (involving hyperbolic space), it is not surprising that the length scale must be specified in order to account for unitary properties and for an entity to be appropriately considered an “atom”. The contribution to physics made by QGT is reviewed in the context of the related work of others. Full article
(This article belongs to the Special Issue Geometry in Thermodynamics, 4th Edition)
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