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Keywords = Hartree–Fock method

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4 pages, 384 KB  
Proceeding Paper
A Computational Study to Determine Thermodynamic Properties for Hydrogen Production from Sodium Borohydride Reaction
by Gamze Özçakır
Chem. Proc. 2025, 18(1), 39; https://doi.org/10.3390/ecsoc-29-26733 - 11 Nov 2025
Viewed by 126
Abstract
Because of fossil fuel depletion and its inevitable danger to the environment, researchers have worked on alternative fuel sources like hydrogen (H2), which can be obtained via renewable energy sources like biomass, solar, geothermal, ocean, wind, hydropower, and nuclear. H2 [...] Read more.
Because of fossil fuel depletion and its inevitable danger to the environment, researchers have worked on alternative fuel sources like hydrogen (H2), which can be obtained via renewable energy sources like biomass, solar, geothermal, ocean, wind, hydropower, and nuclear. H2 has many advantages. It has a high heating value compared to traditional fossil fuels. It can be synthesized from water or biomass without releasing any greenhouse gases (GHGs). Nowadays, the most popular hydrogen production methods are sodium borohydride (NaBH4) hydrolysis, photocatalysis, and water electrolysis. Among them, the NaBH4 hydrolysis reaction is preferred due to its advantages. It is possible to reach high hydrogen generation rates under mild conditions with this reaction. In this work, thermodynamic analysis was carried out with Gaussian 09W software. At first, the products and reactants of the reaction were drawn. Then, enthalpy and free energy information were taken for the reaction. Calculations were carried out via the Hartree–Fock Method for each molecule. Basis set was selected as 6-31G(d). Reaction conditions were assumed as 298 K and 1 atm. As a result of the computations, the enthalpy and free energy of the reaction were found as −58.0315 kcal/mol and −72.6141 kcal/mol, respectively. This means that this reaction was exothermic because of the negative sign of enthalpy, and the negative sign of Gibbs energy is related to spontaneous reaction. Full article
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17 pages, 1323 KB  
Article
Predicting the Post-Hartree-Fock Electron Correlation Energy of Complex Systems with the Information-Theoretic Approach
by Ping Wang, Dongxiong Hu, Linling Lu, Yilin Zhao, Jingbo Chen, Paul W. Ayers, Shubin Liu and Dongbo Zhao
Molecules 2025, 30(17), 3500; https://doi.org/10.3390/molecules30173500 - 26 Aug 2025
Cited by 1 | Viewed by 1417
Abstract
Employing some simple physics-inspired density-based information-theoretic approach (ITA) quantities to predict the electron correlation energies remains an open challenge. In this work, we expand the scope of the LR(ITA) (LR means linear regression) protocol to more complex systems, including (i) 24 octane isomers; [...] Read more.
Employing some simple physics-inspired density-based information-theoretic approach (ITA) quantities to predict the electron correlation energies remains an open challenge. In this work, we expand the scope of the LR(ITA) (LR means linear regression) protocol to more complex systems, including (i) 24 octane isomers; (ii) polymeric structures, polyyne, polyene, all-trans-polymethineimine, and acene; (iii) molecular clusters, such as metallic Ben and Mgn, covalent Sn, hydrogen-bonded protonated water clusters H+(H2O)n, and dispersion-bound carbon dioxide (CO2)n, and benzene (C6H6)n clusters. With LR(ITA), one can simply predict the post-Hartree-Fock (such as MP2 and coupled cluster) electron correlation energies at the cost of Hartree-Fock calculations, even with chemical accuracy. For large molecular clusters, we employ the linear-scaling generalized energy-based fragmentation (GEBF) method to gauge the accuracy of LR(ITA). Employing benzene clusters as an illustration, the LR(ITA) method shows similar accuracy to that of GEBF. Overall, we have verified that ITA quantities can be used to predict the post-Hartree-Fock electron correlation energies of various complex systems. Full article
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25 pages, 1312 KB  
Article
The Role of Exchange Energy in Modeling Core-Electron Binding Energies of Strongly Polar Bonds
by Feng Wang and Delano P. Chong
Molecules 2025, 30(13), 2887; https://doi.org/10.3390/molecules30132887 - 7 Jul 2025
Cited by 2 | Viewed by 1525
Abstract
Accurate determination of carbon core-electron binding energies (C1s CEBEs) is crucial for X-ray photoelectron spectroscopy (XPS) assignments and predictive computational modeling. This study evaluates density functional theory (DFT)-based methods for calculating C1s core-electron binding energies (CEBEs), comparing three functionals—PW86x-PW91c (DFTpw), mPW1PW, and PBE50—across [...] Read more.
Accurate determination of carbon core-electron binding energies (C1s CEBEs) is crucial for X-ray photoelectron spectroscopy (XPS) assignments and predictive computational modeling. This study evaluates density functional theory (DFT)-based methods for calculating C1s core-electron binding energies (CEBEs), comparing three functionals—PW86x-PW91c (DFTpw), mPW1PW, and PBE50—across 68 C1s cases in small hydrocarbons and halogenated molecules (alkyl halides), using the delta self-consistent field ΔSCF (or ΔDFT) method developed by one of the authors over the past decade. The PW86x-PW91c functional achieves a root mean square deviation (RMSD) of 0.1735 eV, with improved accuracy for polar C-X bonds (X=O, F) using mPW1PW and PBE50, reducing the average absolute deviation (AAD) to ~0.132 eV. The study emphasizes the role of Hartree–Fock (HF) exchange in refining CEBE predictions and highlights the synergy between theoretical and experimental approaches. These insights lay the groundwork for machine learning (ML)-driven spectral analysis, advancing materials characterization, and catalysis through more reliable automated XPS assignments. Full article
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20 pages, 1061 KB  
Review
Quantum Mechanics in Drug Discovery: A Comprehensive Review of Methods, Applications, and Future Directions
by Sarfaraz K. Niazi
Int. J. Mol. Sci. 2025, 26(13), 6325; https://doi.org/10.3390/ijms26136325 - 30 Jun 2025
Cited by 7 | Viewed by 7782
Abstract
Quantum mechanics (QM) revolutionizes drug discovery by providing precise molecular insights unattainable with classical methods. This review explores QM’s role in computational drug design, detailing key methods like density functional theory (DFT), Hartree–Fock (HF), quantum mechanics/molecular mechanics (QM/MM), and fragment molecular orbital (FMO). [...] Read more.
Quantum mechanics (QM) revolutionizes drug discovery by providing precise molecular insights unattainable with classical methods. This review explores QM’s role in computational drug design, detailing key methods like density functional theory (DFT), Hartree–Fock (HF), quantum mechanics/molecular mechanics (QM/MM), and fragment molecular orbital (FMO). These methods model electronic structures, binding affinities, and reaction mechanisms, enhancing structure-based and fragment-based drug design. This article highlights the applicability of QM to various drug classes, including small-molecule kinase inhibitors, metalloenzyme inhibitors, covalent inhibitors, and fragment-based leads. Quantum computing’s potential to accelerate quantum mechanical (QM) calculations is discussed alongside novel applications in biological drugs (e.g., gene therapies, monoclonal antibodies, biosimilars), protein–receptor dynamics, and new therapeutic indications. A molecular dynamics (MD) simulation exercise is included to teach QM/MM applications. Future projections for 2030–2035 emphasize QM’s transformative impact on personalized medicine and undruggable targets. The qualifications and tools required for researchers, including advanced degrees, programming skills, and software such as Gaussian and Qiskit, are outlined, along with sources for training and resources. Specific publications on quantum mechanics (QM) in drug discovery relevant to QM and molecular dynamics (MD) studies are incorporated. Challenges, such as computational cost and expertise requirements, are addressed, offering a roadmap for educators and researchers to leverage quantum mechanics (QM) and molecular dynamics (MD) in drug discovery. Full article
(This article belongs to the Section Molecular Pathology, Diagnostics, and Therapeutics)
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25 pages, 2783 KB  
Article
Simulation-Based Determination of Angular Differential Cross Sections of (n,el) Scattering via Evaluated Interaction Potentials
by Ferhan Akdeniz and Ismail Hakki Sarpun
Appl. Sci. 2025, 15(12), 6831; https://doi.org/10.3390/app15126831 - 17 Jun 2025
Viewed by 947
Abstract
In this study, the nucleon density distributions of tungsten isotopes were calculated using the Skyrme interaction within Hartree–Fock approximation model based on the Woods–Saxon potential. Then, using these densities, the interaction potentials were calculated for the elastic scattering of neutrons from tungsten isotopes [...] Read more.
In this study, the nucleon density distributions of tungsten isotopes were calculated using the Skyrme interaction within Hartree–Fock approximation model based on the Woods–Saxon potential. Then, using these densities, the interaction potentials were calculated for the elastic scattering of neutrons from tungsten isotopes through the Single Folding method. The obtained potentials were used as input parameters in the TALYS 1.96 nuclear reaction simulation code to evaluate the angular differential cross sections of the 182,183,184,186W(n,el) scattering. The evaluated angular differential cross sections were graphically compared with theoretical values found in the literature as well as experimental data available in EXFOR nuclear data library. Full article
(This article belongs to the Section Applied Physics General)
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16 pages, 3759 KB  
Article
Exploring Single-Molecular Magnets for Quantum Technologies
by Wei Wu, Tianhong Huang, Jianhua Zhu, Taoyu Zou and Hai Wang
Molecules 2025, 30(12), 2522; https://doi.org/10.3390/molecules30122522 - 9 Jun 2025
Cited by 1 | Viewed by 2298
Abstract
A single-molecule magnet (SMM) is a molecule that functions as a magnet. SMMs can be explored not only for emerging technology but also the fundamental science of their quantum nature, nanometer sizes, and their ease of engineering. This review encompasses the state-of-the-art experiments [...] Read more.
A single-molecule magnet (SMM) is a molecule that functions as a magnet. SMMs can be explored not only for emerging technology but also the fundamental science of their quantum nature, nanometer sizes, and their ease of engineering. This review encompasses the state-of-the-art experiments and theories developed so far for SMMs. We briefly explore their experimental synthesis and characterization. In the experimental synthesis, we cover ‘Click Chemistry’ and supramolecular chemistry. The main experimental characterizations comprise superconducting quantum interference devices, electron paramagnetic resonance, neutron scattering, and X-ray magnetic circular dichroism. The theoretical and computational works based on the density functional theory, the post-Hartree–Fock methods, and the theory of open quantum systems are discussed. Moreover, we exemplify the numerous promising research areas for SMMs by discussing quantum technologies. We envision a brilliant future for the fundamental research and emerging applications of SMMs. Full article
(This article belongs to the Section Physical Chemistry)
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10 pages, 509 KB  
Article
Energy Levels, Lifetimes, and Transition Properties for N iiiv
by Meichun Li, Juan Du, Kaijian Huang and Wenxian Li
Atoms 2025, 13(6), 49; https://doi.org/10.3390/atoms13060049 - 6 Jun 2025
Viewed by 1548
Abstract
We present excitation energies, transition wavelengths, electric dipole (E1) transition rates, oscillator strengths, line strengths, and lifetimes for the 86 lowest states up to and including 1s22s27f in N iii, the 125 lowest states up [...] Read more.
We present excitation energies, transition wavelengths, electric dipole (E1) transition rates, oscillator strengths, line strengths, and lifetimes for the 86 lowest states up to and including 1s22s27f in N iii, the 125 lowest states up to and including 1s22s7f in N iv, and the 53 lowest states up to 1s28g in N v using the multiconfiguration Dirac–Hartree–Fock (MCDHF) and relativistic configuration interaction (RCI) methods. The computed results are then compared with data from the Atomic Spectra Database of the National Institute of Standards and Technology (NIST-ASD), experimental results, and other theoretical studies. For all levels in N iiiv, the root mean square energy differences from the NIST values are 130, 103, and 6 cm−1, respectively. Compared to previous multiconfiguration Hartree–Fock and the Breit–Pauli (MCHF-BP) calculations, 89.3%, 98.5%, and 100% of the log(gf) values for N iiiv agree within 5%, respectively. Full article
(This article belongs to the Special Issue Atomic and Molecular Data and Their Applications: ICAMDATA 2024)
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24 pages, 740 KB  
Article
GPU-Accelerated Fock Matrix Computation with Efficient Reduction
by Satoki Tsuji, Yasuaki Ito, Haruto Fujii, Nobuya Yokogawa, Kanta Suzuki, Koji Nakano, Victor Parque and Akihiko Kasagi
Appl. Sci. 2025, 15(9), 4779; https://doi.org/10.3390/app15094779 - 25 Apr 2025
Cited by 2 | Viewed by 1549
Abstract
In quantum chemistry, constructing the Fock matrix is essential to compute Coulomb interactions among atoms and electrons and, thus, to determine electron orbitals and densities. In the fundamental framework of quantum chemistry such as the Hartree–Fock method, the iterative computation of the Fock [...] Read more.
In quantum chemistry, constructing the Fock matrix is essential to compute Coulomb interactions among atoms and electrons and, thus, to determine electron orbitals and densities. In the fundamental framework of quantum chemistry such as the Hartree–Fock method, the iterative computation of the Fock matrix is a dominant process, constituting a critical computational bottleneck. Although the Fock matrix computation has been accelerated by parallel processing using GPUs, the issue of performance degradation due to memory contention remains unresolved. This is due to frequent conflicts of atomic operations accessing the same memory addresses when multiple threads update the Fock matrix elements concurrently. To address this issue, we propose a parallel algorithm that efficiently and suitably distributes the atomic operations; and significantly reduces the memory contention by decomposing the Fock matrix into multiple replicas, allowing each GPU thread to contribute to different replicas. Experimental results using a relevant set/configuration of molecules on an NVIDIA A100 GPU show that our approach achieves up to a 3.75× speedup in Fock matrix computation compared to conventional high-contention approaches. Furthermore, our proposed method can also be readily combined with existing implementations that reduce the number of atomic operations, leading to a 1.98× improvement. Full article
(This article belongs to the Special Issue Data Structures for Graphics Processing Units (GPUs))
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18 pages, 1432 KB  
Article
Fragmentation-Based Linear-Scaling Method for Strongly Correlated Systems: Divide-and-Conquer Hartree–Fock–Bogoliubov Method, Its Energy Gradient, and Applications to Graphene Nano-Ribbon Systems
by Masato Kobayashi, Ryosuke Kodama, Tomoko Akama and Tetsuya Taketsugu
Chemistry 2025, 7(2), 46; https://doi.org/10.3390/chemistry7020046 - 18 Mar 2025
Viewed by 1346
Abstract
This study introduces a fragmentation-based linear-scaling method for strongly correlated systems, specifically the divide-and-conquer Hartree–Fock–Bogoliubov (DC-HFB) approach. Two energy gradient formulations of the DC-HFB method are derived and implemented, enabling efficient optimization of molecular geometries in large systems. This method is applied to [...] Read more.
This study introduces a fragmentation-based linear-scaling method for strongly correlated systems, specifically the divide-and-conquer Hartree–Fock–Bogoliubov (DC-HFB) approach. Two energy gradient formulations of the DC-HFB method are derived and implemented, enabling efficient optimization of molecular geometries in large systems. This method is applied to graphene nanoribbons (GNRs) to explore their geometries and polyradical characters. Numerical results demonstrate that the present DC-HFB method has the potential to treat the static electron correlation and predict diradical character in GNRs, offering new avenues for studying large-scale strongly correlated systems. Full article
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30 pages, 1684 KB  
Article
Efficient GPU Implementation of the McMurchie–Davidson Method for Shell-Based ERI Computations
by Haruto Fujii, Yasuaki Ito, Nobuya Yokogawa, Kanta Suzuki, Satoki Tsuji, Koji Nakano, Victor Parque and Akihiko Kasagi
Appl. Sci. 2025, 15(5), 2572; https://doi.org/10.3390/app15052572 - 27 Feb 2025
Cited by 4 | Viewed by 1995
Abstract
Quantum chemistry offers the formal machinery to derive molecular and physical properties arising from (sub)atomic interactions. However, as molecules of practical interest are largely polyatomic, contemporary approximation schemes such as the Hartree–Fock scheme are computationally expensive due to the large number of electron [...] Read more.
Quantum chemistry offers the formal machinery to derive molecular and physical properties arising from (sub)atomic interactions. However, as molecules of practical interest are largely polyatomic, contemporary approximation schemes such as the Hartree–Fock scheme are computationally expensive due to the large number of electron repulsion integrals (ERIs). Central to the Hartree–Fock method is the efficient computation of ERIs over Gaussian functions (GTO-ERIs). Here, the well-known McMurchie–Davidson method (MD) offers an elegant formalism by incrementally extending Hermite Gaussian functions and auxiliary tabulated functions. Although the MD method offers a high degree of versatility to acceleration schemes through Graphics Processing Units (GPUs), the current GPU implementations limit the practical use of supported values of the azimuthal quantum number. In this paper, we propose a generalized framework capable of computing GTO-ERIs for arbitrary azimuthal quantum numbers, provided that the intermediate terms of the MD method can be stored. Our approach benefits from extending the MD recurrence relations through shells, batches, and triple-buffering of the shared memory, and ordering similar ERIs, thus enabling the effective parallelization and use of GPU resources. Furthermore, our approach proposes four GPU implementation schemes considering the suitable mappings between Gaussian basis and CUDA blocks and threads. Our computational experiments involving the GTO-ERI computations of molecules of interest on an NVIDIA A100 Tensor Core GPU (NVIDIA, Santa Clara, CA, USA) have revealed the merits of the proposed acceleration schemes in terms of computation time, including up to a 72× improvement over our previous GPU implementation and up to a 4500× speedup compared to a naive CPU implementation, highlighting the effectiveness of our method in accelerating ERI computations for both monatomic and polyatomic molecules. Our work has the potential to explore new parallelization schemes of distinct and complex computation paths involved in ERI computation. Full article
(This article belongs to the Special Issue Data Structures for Graphics Processing Units (GPUs))
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14 pages, 749 KB  
Article
Modelling of X-Ray Spectra Originating from the He- and Li-like Ni Ions for Plasma Electron Temperature Diagnostics Purposes
by Karol Kozioł, Andrzej Brosławski and Jacek Rzadkiewicz
Atoms 2025, 13(2), 18; https://doi.org/10.3390/atoms13020018 - 9 Feb 2025
Viewed by 953
Abstract
The multi-configurational Dirac–Hartree–Fock method has been used to examine the electron correlation effect on wavelengths and transition rates for LK transitions occurring in He- and Li-like nickel ions. The collisional-radiative modelling approach has been used to simulate the X-ray spectra, in [...] Read more.
The multi-configurational Dirac–Hartree–Fock method has been used to examine the electron correlation effect on wavelengths and transition rates for LK transitions occurring in He- and Li-like nickel ions. The collisional-radiative modelling approach has been used to simulate the X-ray spectra, in a 1.585–1.620 Å wavelength range, originating from the He-like nickel ions and their dielectronic Li-, Be-, and B-like satellites for various electron temperature values in the 2 keV to 8 keV range. The presented results may be useful in improving the plasma electron temperature diagnostics based on nickel spectra. Full article
(This article belongs to the Special Issue Atom and Plasma Spectroscopy)
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18 pages, 1928 KB  
Article
Calculated Transition Probabilities for Os VI Spectral Lines of Interest to Nuclear Fusion Research
by Maxime Brasseur, Patrick Palmeri and Pascal Quinet
Atoms 2025, 13(2), 11; https://doi.org/10.3390/atoms13020011 - 21 Jan 2025
Viewed by 1149
Abstract
In this work, we present a new set of transition probabilities for experimentally classified spectral lines in the Os VI spectrum. To do this, two independent computational approaches based on the pseudo-relativistic Hartree–Fock, including core polarization effects (HFR+CPOL) and fully relativistic Multiconfiguration Dirac–Hartree–Fock [...] Read more.
In this work, we present a new set of transition probabilities for experimentally classified spectral lines in the Os VI spectrum. To do this, two independent computational approaches based on the pseudo-relativistic Hartree–Fock, including core polarization effects (HFR+CPOL) and fully relativistic Multiconfiguration Dirac–Hartree–Fock (MCDHF) methods, were used, with the detailed comparison of the results obtained with these two approaches allowing us to estimate the quality of the calculated radiative parameters. These atomic data, corresponding to 367 lines of five-times ionized osmium between 438.720 and 1486.275 Å, are expected to be useful for the analysis of the spectra emitted by fusion plasmas in which osmium could appear as a result of transmutation by the neutron bombardment of tungsten used as component of the reactor wall, such as the ITER divertor. Full article
(This article belongs to the Special Issue Atom and Plasma Spectroscopy)
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21 pages, 2449 KB  
Article
The Search for the Optimal Methodology for Predicting Fluorinated Cathinone Drugs NMR Chemical Shifts
by Natalina Makieieva, Teobald Kupka and Oimahmad Rahmonov
Molecules 2025, 30(1), 54; https://doi.org/10.3390/molecules30010054 - 27 Dec 2024
Viewed by 2105
Abstract
Cathinone and its synthetic derivatives belong to organic compounds with narcotic properties. Their structural diversity and massive illegal use create the need to develop new analytical methods for their identification in different matrices. NMR spectroscopy is one of the most versatile methods for [...] Read more.
Cathinone and its synthetic derivatives belong to organic compounds with narcotic properties. Their structural diversity and massive illegal use create the need to develop new analytical methods for their identification in different matrices. NMR spectroscopy is one of the most versatile methods for identifying the structure of organic substances. However, its use could sometimes be very difficult and time-consuming due to the complexity of NMR spectra, as well as the technical limitations of measurements. In such cases, molecular modeling serves as a good supporting technique for interpreting ambiguous spectral data. Theoretical prediction of NMR spectra includes calculation of nuclear magnetic shieldings and sometimes also indirect spin–spin coupling constants (SSCC). The quality of theoretical prediction is strongly dependent on the choice of the theory level. In the current study, cathinone and its 12 fluorinated derivatives were selected for gauge-including atomic orbital (GIAO) NMR calculations using Hartree–Fock (HF) and 28 density functionals combined with 6-311++G** basis set to find the optimal level of theory for 1H, 13C, and 19F chemical shifts modeling. All calculations were performed in the gas phase, and solutions were modeled with a polarized-continuum model (PCM) and solvation model based on density (SMD). The results were critically compared with available experimental data. Full article
(This article belongs to the Section Analytical Chemistry)
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16 pages, 500 KB  
Article
Cross-Section Calculations for Electron-Impact Ionization of Pyrimidine Molecule and Its Halogenated Derivatives: 2-Chloropyrimidine, 5-Chloropyrimidine, 2-Bromopyrimidine and 5-Bromopyrimidine
by Bożena Żywicka and Paweł Możejko
Molecules 2025, 30(1), 6; https://doi.org/10.3390/molecules30010006 - 24 Dec 2024
Cited by 1 | Viewed by 1407
Abstract
The total cross-sections for the single electron-impact ionization of pyrimidine (C4H4N2), 2-chloropyrimidine (2-C4H3ClN2), 5-chloropyrimidine (5-C4H3ClN2), 2-bromopyrimidine (2-C4H3BrN2) and 5-bromopyrimidine [...] Read more.
The total cross-sections for the single electron-impact ionization of pyrimidine (C4H4N2), 2-chloropyrimidine (2-C4H3ClN2), 5-chloropyrimidine (5-C4H3ClN2), 2-bromopyrimidine (2-C4H3BrN2) and 5-bromopyrimidine (5-C4H3BrN2) molecules have been calculated with the binary-encounter-Bethe model from the ionization threshold up to 5 keV. The input data for the BEB calculations concerning electronic structure of the studied targets have been obtained with quantum chemical methods including the Hartree–Fock (H-F) and the outer valence Green function (OVGF) methods. The calculated cross-section for the ionization of the pyrimidine molecules due to electron impact is compared with available experimental and theoretical data. The question of the magnitude the pyrimidine ionization cross-section is also discussed, as is the efficiency of the ionization process of studied halogenated derivatives of pyrimidine. Full article
(This article belongs to the Section Physical Chemistry)
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18 pages, 6880 KB  
Article
Why Does the Optimal Tuning Method of the Range Separation Parameter of a Long-Range Corrected Density Functional Fail in Intramolecular Charge Transfer Excitation Calculations?
by Han-Seok Bae, Dae-Hwan Ahn and Jong-Won Song
Molecules 2024, 29(18), 4423; https://doi.org/10.3390/molecules29184423 - 18 Sep 2024
Cited by 1 | Viewed by 1492
Abstract
We performed intra- and intermolecular charge transfer (CT) excitation energy calculations of (a) conjugated carbon chain [H2N–(CH=CH)n–X] and (b) its equidistant H2NH∙∙∙HX (n = 2~8) with various electron acceptors (X = NH2, [...] Read more.
We performed intra- and intermolecular charge transfer (CT) excitation energy calculations of (a) conjugated carbon chain [H2N–(CH=CH)n–X] and (b) its equidistant H2NH∙∙∙HX (n = 2~8) with various electron acceptors (X = NH2, OH, Cl, CHO, CN, and NO2) using EOM-CCSD, time-dependent (TD) Hartree–Fock (HF) and various density functional theory (DFT) functionals, such as BLYP, B3LYP, long-range corrected (LC) DFT, and LC-DFT with an optimally tuned (OT) range separation parameter (µ) using Koopman’s theorem to investigate the effect of the electron-withdrawing (or -donating) strength of end-capped functional group (X) and CT distance (R) on intra- and intermolecular CT excitation energies. As the electron-withdrawing strength of X increases, both intra- and intermolecular CT excitation energies tend to decrease, since energy gaps between orbitals corresponding to CT excitations (e.g., HOMO and LUMO) decrease. However, the effect of the electron-withdrawing group on intramolecular CT excitation energy is negligible (at most 0.5 eV). OT-LC-DFT shows accurate intermolecular CT excitation energy, but worse results in intramolecular CT excitation energy than LC-DFT with the default µ value (0.47). Therefore, we conclude that the optimal tuning method is not effective in predicting intramolecular CT excitation energy. While intermolecular CT excitation energy has excitonic binding energy with asymptotic behavior to CT distance that is not affected by the choice of range separation parameter, intramolecular CT excitation energy is affected by orbital relaxation energy, which strongly depends on the choice of range separation parameter, which makes the OT method of range separation parameter ineffective in predicting intramolecular CT excitation energy as well as local excitation with high accuracy. Full article
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