Annual increases in power use need improved energy management. Several universities and research organizations have focused on pursuing energy efficiency and renewable energy to satisfy this stipulation. This study provides a thorough and organized systematic review of over 2000 operational research studies conducted between 2019 and 2023. In summary, this study explores potential innovations to enhance existing literature utilizing mathematical tools in energy management. Our systematic literature review indicates that geometric planning is a novel mathematical technique in energy management. Based on the specific problems, this paper discusses geometric planning and proposes its integration with other mathematical techniques.

This study employs Molecular Electron Density Theory (MEDT) to explore the [3+2] cycloaddition mechanisms involving 1-methyl-4-(prop-1-en-2-yl)cyclohex-1-ene (2-R) and nitrile oxide (3-R). Density Functional Theory (DFT) calculations using the B3LYP/6-311(d,p) method were performed to determine reactivity indices, activation energies, and reaction energies. The conceptual DFT analysis indicates that 1-methyl-4-(prop-1-en-2-yl)cyclohex-1-ene 2-R acts as a nucleophile, while nitrile oxide 3-R functions as an electrophile. The reaction exhibits notable chemoselectivity and regioselectivity, supported by activation energies that align with experimental data. BET analysis suggests a one-step mechanism with asynchronous bond formation. Additionally, molecular docking studies of the reaction products against HIV-1 and COVID-19 reveal that the presence of oxygen and nitrogen atoms enhances the interaction energy with proteins, indicating potential therapeutic benefits.

Using a regioselectivity descriptor known as Fukui indices, this theoretical study examines the reactivity of cycloaddition processes of benzamide (PhCONH2) and chlorocarbonylsulfenyl chloride (ClCOSCl) at the level of base 6-311 G (d. p) by use of the DFT approach. Therefore, the attack of the sulfur atom on nitrogen and carbon on oxygen is kinetically more preferred than the assault of the sulfur atom on oxygen and carbon on nitrogen, as we have observed from our study. The electrophilic Δω difference between chlorocarbonylsulfenyl chloride and benzamide is 1.3726 eV. This indicates that the reaction under investigation has a polar nature (Δω > 1). on oxygen and carbon on nitrogen, as we have observed from our study. We have also studied the stereoselectivity and feasibility of these reactions from a thermodynamic and orbital point of view. The transition states of this reaction have been determined.

Oxadiazoles, a class of nitrogen-containing heterocycles, exhibit diverse applications in pharmaceuticals, industry, and other fields. This study employs Density Functional Theory (DFT) to investigate the structural, electronic, and spectroscopic properties of four oxadiazole isomers. The B3LYP functional and the 6-311G(d,p) basis set were used for calculations. Frontier orbital energies, energy gap, chemical reactivity descriptors, dipole moment, and thermodynamic properties were computed. Additionally, IR and UV spectra were analyzed. The results indicate significant variations in electronic and thermodynamic properties among the isomers. Isomer 4 demonstrated the highest stability and electrophilicity. The calculated IR and UV spectra were compared with available experimental and theoretical data. The study provides valuable insights into the structural and reactivity trends within the oxadiazole family, contributing to a deeper understanding of their potential applications.

A series of new compounds, Substituted 2-((2H-benzo[d][1,2,3]triazol-2-yl)thio)-N'-(2-oxoindolin-3-ylidene)acetohydrazide (3a-3g), 2-((2H-benzo[d][1,2,3]triazol-2-yl)thio)-N-(2,4'-dioxospiro[indoline-3,2'-thiazolidin]-3'yl)acetamide (4a-4g), and 2'-(((2H-benzo[d][1,2,3]triazol-2-yl)thio)methyl)spiro[indoline-3,5'-thiazolo[4,3-b][1,3,4]oxadiazol]-2-one (5a-5g), were synthesized and checked for their anti-inflammatory, analgesic, and antibacterial activities. Compound 5d proved to be the most potent anti-inflammatory and antibacterial agent. The analgesic activity, however, was maximum in compound 5e. The structural integrity of the synthesized compounds was ascertained using elemental analysis, infrared spectroscopy (IR), and proton nuclear magnetic resonance spectroscopy (¹H NMR).

A series of 6-(Aryl)-4-[4-(2,4-dichlorophenylmethoxy)-3-methoxyphenyl]-2,3,4,5-tetrahydro-indazol-3-one derivatives (3a-3i) have been synthesized by refluxing of previously synthesized Ethyl-4-(aryl)-6-[4-(2,4-Dichlorophenylmethoxy)-3-methoxyphenyl]-2-oxo-cyclohex-3-eneoates (2a-2i) with hydrazine hydrate in methanol for 7-8 hours in presence of catalytic amount of glacial acetic acid. The analytical and physical data of all the synthesized compounds (2a-2i) and (3a-3i) were observed and reported. The structures of each newly synthesized Indazole derivative have been characterized by various methods like Elemental analysis, Infrared spectroscopy, 1H-NMR and 13CMR spectroscopy and Mass spectroscopy. Furthermore, each compound was screened for its in-vitro antibacterial activity towards Gram-positive and Gram-negative bacterial strains and antifungal towards fungi Aspergillus niger (A. niger) and Candida albicans (C. albicans) with the concentration of 40 μg/ml and data was collected.

In this charge we designated a Hilbert-Johnson process by coupling of heterocyclic N-silylated with benzyl chloride at 100°C using the calcined red algae (CRA) doped with ammonium sulfate (AS), AS@CRA as a heterogeneous catalyst. The resulting examination systems, which included atomic absorption, BET methodology and X-ray diffraction (XRD), scanning electron microscopy (SEM/EDX), and Fourier transform infrared spectroscopy (FT-IR), were employed to describe these catalysts. The effect of catalyst and alkylated agent were extensively studied. This catalyst can also be recycled several times in this condensation, and lastly, we suggested a probable answer mechanism for this process. Moreover, our molecular docking investigation revealed the anti-tuberculosis potential of the synthesized compounds. Notably, the drug isoniazid exhibited higher binding energies compared to the products 2a, 2b, and 2c. Additionally, the ADME study suggests that highly efficacious synthetic compounds may possess anti-tuberculosis properties.

A preparatively convenient method is proposed for the synthesis of new 1-oxo-3,4-dihydro-1H-pyrrolo[2,1-с][1,4]oxazine-8- 4a-e and 4-oxo-4H-pyrrolo[2,1-c][1,4]benzoxazine-3-carboxylic acids 5a-f that is based on the interaction of methyl (2-oxomorpholin-3-ylidene)ethanoates 1a-e and methyl (2-oxo-2H-1,4-benzoxazine-3(4H)-ylidene)ethanoates 2a-f with 2-bromo-1,1-diethoxyethane. Obtained acids were transformed into the corresponding tert-butyl carbamates 6a-e, 7a-f and N-alkyl(aryl)carboxamides 11a-i, 12a-d. By treating tert-butyl carbamates 6a-e, 7a-f with hydrogen chloride, 8-amino-3,4-dihydro-1H-pyrrolo[2,1-c][1,4]oxazin-1-ones 8a-e and 3-amino-4H-pyrrolo[2,1-c][1,4]benzoxazin-4-ones 9a-f were obtained. By acylation of amines 8a-e, 9a-f with acetic anhydride, benzoyl chloride, methanesulfonyl chloride, and p-toluenesulfonyl chloride, corresponding N-acetamides 13a,b, 14, N-benzamides 15, 16, N-methanesulfonamides 17, 18, and N-p-toluenesulfonamides 19, 20 were synthesized. In total, 30 new derivatives of 1-oxo-3,4-dihydro-1H-pyrrolo[2,1-c][1,4]oxazinones and 27 new 4-oxo-4H-pyrrolo[2,1-c][1,4]benzoxazinones were obtained.

Diabetes mellitus is a serious health disease that affects people all over the world. The number of persons identified with diabetes mellitus rises each year. α -Glucosidase is a digestive enzyme used to control diabetes mellitus. The searching for new potent α-glucosidase inhibitors capable of delaying carbohydrate digestion in the human body is an important strategy towards control of diabetes mellitus. In this work, a series of quinoline-based Schiff base derivatives already identified as α-glucosidase inhibitory activity was studied by using 2D/3D-QSAR approach. The best HQSAR/A-B-C-H-Ch-DA and CoMSIA/SEDA models were constructed using thirteen molecules in the training set, resulting in favorable values of Q2 (0.834 and 0.607), and high values of R2 (0.985 and 0.912), respectively. The generated HQSAR/A-B-C-H-Ch-DA and CoMSIA/SEDA contour plots were precious for designing and enhancing the α-glucosidase inhibitory activity of quinoline-based Schiff base molecules. Considering these results, two novel α-glucosidase compounds were designed to possess significant activity. The newly suggested molecules showed good outcomes in the preliminary in silico ADME/Tox evaluations. Molecular docking results revealed that the new designed inhibitors have a good stability in the active pocket of the studied receptor compared to voglibose, clinically used as an α-glucosidase inhibitor. MD simulation and MM-GBSA results confirmed the molecular docking outcomes. Finally, DFT analysis was useful in determining the most electrophilic and nucleophilic centers of the two designed α-glucosidase inhibitors.

A number of 3-aryl-5,6-dihydroimidazo[2,1-b][1,3]thiazoles were synthesized by cyclocondensation of imidazolidine-2-thione with phenacyl bromides, and their antimicrobial and antioxidant activity was evaluated. Bioscreening confirmed the moderate antibacterial activity against the reference strains of bacteria Staphylococcus aureus, Escherichia coli and Proteus vulgaris and excellent antifungal activity against Candida albicans. It was found that 3-(4-chlorophenyl)-5,6-dihydroimidazo[2,1-b]thiazole 4h (MIC = 15.625 μg/ml) has twice the antifungal effect compared to the control drug Furacilin. The study of the antioxidant activity of the synthesized compounds proved their ability to inhibit 60–97% of DPPH radicals. The best antiradical effect was found for 4-(5,6-dihydroimidazo[2,1-b]thiazol-3-yl)phenol 4e (I = 97%). A probable mechanism of its action was proposed involving the formation of a radical cation by the SET process. For the most active antioxidants 4e-g, reactivity and electrostatic surface potential were evaluated using the DFT method, and molecular docking was studied on the human peroxiredoxin 5 protein model.