{"title":"Scaling Properties of Net Information Measures for the Generalized Yukawa-Type and Potential","authors":"O. S. Oyun, K. J. Oyewumi, C. N. Isonguyo","doi":"10.1002/qua.70139","DOIUrl":"https://doi.org/10.1002/qua.70139","url":null,"abstract":"<div>\u0000 \u0000 <p>The dimensional analysis of the position and momentum variances-based quantum mechanical Heisenberg uncertainty measures was carried out for generalized Yukawa-type potential. The entropic information measures given by Shannon entropy sums and Fisher information products were obtained out for generalized Yukawa-type potential. It is interesting to observe that the Shannon entropy in position space, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>r</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {S}_r $$</annotation>\u0000 </semantics></math>, increases and then decreases with the quantum number <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math>, suggesting a growth in delocalization due to a rapid increase in fluctuations. Likewise, the Shannon entropy in momentum space, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>S</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {S}_p $$</annotation>\u0000 </semantics></math>, decreases and then increases with the quantum number <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math>, and vice versa. This unusual phenomenon may be explained by the parity restrictions inherent in the system. The Bialynicki-Birula and Mycielski (BBM) entropic uncertainty relation was verified to be saturated; however, the sum of the entropies increases with the quantum number <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math> up to a certain point and then decreases as <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math> continues to increase. We also found that the Fisher information accurately increases with the quantum number <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$$ n $$</annotation>\u0000 </semantics></math>. The numerical results that support the validity of the scaling properties for Shannon entropy","PeriodicalId":182,"journal":{"name":"International Journal of Quantum Chemistry","volume":"126 7","pages":""},"PeriodicalIF":2.0,"publicationDate":"2026-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147567319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yousif Hussein Azeeza, Rebaz Anwar Omer, Hawraz Ibrahim M. Amin, Rebaz Obaid Kareem, Luca Nicchio, Maurizio Fagnoni
{"title":"Computational Investigation of Arylazo Sulfonates: Geometric, Electronic, and Nonlinear Optical Properties via TD-DFT","authors":"Yousif Hussein Azeeza, Rebaz Anwar Omer, Hawraz Ibrahim M. Amin, Rebaz Obaid Kareem, Luca Nicchio, Maurizio Fagnoni","doi":"10.1002/qua.70179","DOIUrl":"https://doi.org/10.1002/qua.70179","url":null,"abstract":"<div>\u0000 \u0000 <p>In this study, the TD-DFT method using the B3LYP functional (and CAM-B3LYP for UV–Vis analysis) and the 6-311+G(d,p) basis set was used to compute the optical reactivity of synthesized Arylazo Sulfonates (<b>1a–1j</b>) compounds in the gas phase, the solvent phase-ethanol, water, and acetonitrile medium. The geometric parameters, electronic structure, spectroscopic, and topological properties were determined and analyzed to elucidate the optical reactivity and charge-transfer behavior of the compounds. The energy gap, global hardness, Mulliken charges, softness, and Fukui functions were assessed to forecast reactivity changes in the <b>1j</b> compound in the gas phase, suggesting that electron promotion from HOMO to LUMO is more difficult, which has implications for biological activity and charge-transfer processes. Also, the electronic properties, including MEP, Fukui functions, UV spectroscopy, ELF, NLO, and RDG of the title compounds were thoroughly investigated to establish a comprehensive reactivity profile. The MEP revealed greener zones indicate an electrostatic potential of the examined compounds that is nearly neutral, exhibiting neither severe electrophilicity nor nucleophilicity; however, this neutral electrostatic potential does not exclude the presence of localized reactive sites. Based on NLO analyses, the <b>1a</b> compound has a first hyperpolarizability about 15.2 times greater than that of urea (0.373 × 10<sup>−33</sup> esu), demonstrating its high potential for nonlinear optical applications.</p>\u0000 </div>","PeriodicalId":182,"journal":{"name":"International Journal of Quantum Chemistry","volume":"126 7","pages":""},"PeriodicalIF":2.0,"publicationDate":"2026-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147567320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Spin-Orbit Couplings vis-á-vis Complex Beyond Born-Oppenheimer Theory for Non-Abelian Systems: F+H\u0000 \u0000 \u0000 \u0000 \u0000 \u0000 2\u0000 \u0000 \u0000 \u0000 $$ {}_2 $$\u0000 as a Test Case","authors":"Priyanka Kumari, Rampal Pandey, Soumya Mukherjee","doi":"10.1002/qua.70176","DOIUrl":"https://doi.org/10.1002/qua.70176","url":null,"abstract":"<div>\u0000 \u0000 <p>In order to demonstrate static and dynamic properties of molecular species/processes/phenomena involving complex electron-nuclear couplings (namely, spin-orbit (SO) interactions), Complex Beyond Born-Oppenheimer (CBBO) theory has already been introduced for Abelian systems (two coupled electronic manifold) [<i>J. Chem. Theory Comput.</i>, 2025, <b>21</b>, 10166-10176], but the newly developed formulation needs to be generalized for non-Abelian cases involving three or more than three coupled electronic states. In this context, the triatomic reactive scattering system, F+H<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {}_2 $$</annotation>\u0000 </semantics></math> can be considered as an excellent prototype system exhibiting profound non-adiabatic as well as SO couplings within the low-lying three electronic states (1<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {}^2 $$</annotation>\u0000 </semantics></math>A<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mo>′</mo>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {}^{prime } $$</annotation>\u0000 </semantics></math>, 2<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {}^2 $$</annotation>\u0000 </semantics></math>A<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mo>′</mo>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {}^{prime } $$</annotation>\u0000 </semantics></math> and 1<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$$ {}^2 $$</annotation>\u0000 </semantics></math>A<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mo> </mo>\u0000 ","PeriodicalId":182,"journal":{"name":"International Journal of Quantum Chemistry","volume":"126 7","pages":""},"PeriodicalIF":2.0,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147566471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}