A shifted Morse potential model is modified to fit the study of the vibrational energies of some molecules. Using a traditional technique/methodology, the vibrational energy and the un-normalized radial wave functions were calculated for the modified shifted Morse potential model. The condition that fits the modified potential for molecular description were deduced together with the expression for the screening parameter. The vibrational energies of SiC, NbO, CP, PH, SiF, NH and Cs2 molecules were computed by inserting their respective spectroscopic constants into the calculated energy equation. It was shown that the calculated results for all the molecules agreement perfectly with the experimental RKR values. The present potential performs better than Improved Morse and Morse potentials for cesium dimer. Finally, the real Morse potential model was obtained as a special case of the modified shifted potential.

The solutions for Morse potential energy function under the influence of Schr¨odinger equation are examined using supersymmetric approach. The energy equation obtained was used to generate eigenvalues forX1 +state of scandium monoiodide (ScI) and X3 state of nitrogen monoiodide (NI) respectively were obtained by imputing their respective spectroscopic parameters. The calculated results for the two molecules aligned excellently with the predicted/observed values.

Despite advancement in technology and healthcare delivery, infectious diseases still ravage humanity, plants-based remedies still remain our major kick back against them. The phytochemical screening, antimicrobial, antioxidant, and anti-hyperglycemic activities of n-hexane, ethyl acetate, and methanolic extracts of Senecio abyssinicus leaves were investigated in this study, in line with SDG 3, 9 and 12 goals, following standard methods. The in vitro antioxidant properties were tested using 2,2-diphenyl-1-picrylhydrazyl (DPPH) and 2,2ʹ-azinobis(3-ethylbenzthiazoline-6-sulphonate) (ABTS·+) radical scavenging assays. Agar diffusion-pour plate methods was used to evaluate the antimicrobial activities of the extracts. The phytochemical evaluation of the extracts unveiled the presence of polyphenols, steroids, terpenoids, alkaloids, and cardiac glycosides. The methanol extracts showed varying degrees of antibacterial activity against the tested bacterial: Klebsiella pneumonia, Bacillus subtilis, Staphylococcus aureus, Escherichia coli, Pseudomonas aeruginosa, and Salmonella typhi at concentrations between 6.25 – 200 mg/mL relative to Gentamycin. Furthermore, it showed significant activity on the tested fungal strains: Rhizopus stolons,, Aspergillus niger, Pneumonae notatum, and Candida albicans between 12.5 – 200 mg/mL, with regards to Tioconazole. The methanol extract had the greatest inhibitory effect (IC50, 26.59µg/mL) on α-glucosidase enzyme, with respect to Acarbose (IC50 11.31 µg/mL). Similarly, it showed low ABTS·+ and DPPH antioxidant activity (IC50 ˃50 µg/mL) when compared to the standard Trolox (IC50 5.91 µg/mL) and Ascorbic acid (IC50 12.24 µg/mL) respectively. These findings demonstrated that S. abyssinicus leaves exhibits moderate to significant antimicrobial, antioxidant, and antidiabetic activities. Thus, could be considered as a good source of antioxidant, hypoglycemic, and antimicrobial agents for good health and well-being.

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