Erişir, Tülay; Güngör, Mehmet Ali

In this study, two new spinor sequences using spinor representations of Jacobsthal and Jacobsthal-Lucas quaternions are defined. Moreover, some formulas such that Binet, Cassini, summation formulas and generating functions of these spinor sequences, which are called as Jacobsthal and Jacobsthal-Lucas spinor sequences, are expressed. Then, some relationships between Jacobsthal and Jacobsthal-Lucas spinors are obtained. Therefore, an easier and more interesting representation of Jacobsthal and Jacobsthal-Lucas quaternions, which are generalization of Jacobsthal and Jacobsthal-Lucas number sequences, are obtained. We believe that these new spinor sequences will be useful and advantageable in many branches of science, such as geometry, algebra and physics.

Kökbudak, Zülbiye; Türkmenoğlu, Burçin; Akkoç, Senem

Schiff base derivatives are some of the most widely used organic compounds for industrial purposes and they exhibit a broad range of biological activities. In this paper, a new Schiff base derivative (2) synthesized from the condensation reaction of 1-amino-5-benzoyl)-4-phenylpyrimidine-2(1H)-thione (1) with 2-chlorobenzaldehyde. The new compound was characterized by1 H,13 C NMR, and FT-IR. The biological activity property of this compound was tested against two different cancer cell lines and a healthy human cell line. The results demonstrate that molecule 2 has antiproliferative activity. In molecular modeling studies, the interaction site was examined using the epidermal growth factor receptor (EGFR) tyrosine kinase domain. Alignment in molecular docking, surface mapping binding, amino acids, and binding energy calculated. Glide score energy was found to be-9.820 kcal/mol and it predicted that the bonding interaction is strong. Theoretical calculations were made to compare the experimental and theoretical data. These calculations were performed on the 6–31 G* basis set using the Density Functional Theory (DFT) method and Becke-3-Parameter-Lee-Yang-Parr (B3LYP). Using this method, various parameters, such as frontier molecular orbitals, HOMO-LUMO energy levels, band gap, and chemical reactivity indices were found and interpreted.