This paper presents calculations of the magnetic moments, the quadrupole moments, and the form factors of a number of titanium isotopes as determined using the shell model space. The calculations of the shell model have adopted the model space (MS) with core-polarization effects, which were included for two types of effective g factors and different effective charges. The wave functions are generated using the harmonic oscillator potential (HO) with size parameters b , which for these isotopes are calculated. The one body density matrices (OBDM) for these isotopes were obtained using the NuShellX@MSU code, which used an adopted fpd6 interaction and fp model space. Reasonable results are obtained that show the collapse of the magicity property at neutron number N = 28.

The quadrupole deformation is basic to study the shape transitions; it is possible to predict many important properties of even-even nuclei as a function of the deformation parameter. The deformations of nuclei are important for understanding their shapes prolate or oblate. The quadrupole deformation parameters were calculated by the transition probability B (E2) for 18, 20, 22, 24, 26,28Ne isotopes, were adopted different interactions three. The calculations are performed with the Bohr-Mottelson (B-M) effective charges, which represent the effect of the core-polarizations. Also, the deformation parameters were calculated for different nuclei and adopted two methods of calculation: from reduced the transition probability (B2) and from the intrinsic quadrupole moment. In calculations, the Shell model is adopted.

Nuclear shell model is adopted to calculate the electric quadrupole moments for some Calcium isotopes 20Ca (N = 21, 23, 25, and 27) in the fp shell. The wave function is generated using a two body effective interaction fpd6 and fp space model. The one body density matrix elements (OBDM) are calculated for these isotopes using the NuShellX@MSU code. The effect of the core-polarizations was taken through the theory microscopic by taking the set of the effective charges. The results for the quadrupole moments by using Bohr-Mottelson (B-M) effective charges are the best. The behavior of the form factors of some Calcium isotopes was studied by using Bohr-Mottelson (B-M) effective charges.

This study explores the effects of gamma irradiation on the properties of polyvinyl chloride (PVC):(50 nm)/CeO₂:(10 nm)/TiO₂ nanocomposite films. Gamma irradiation significantly enhances the optical conductivity (σopt) of the films, signifying increased light‐to‐current conversion efficiency. This improvement is attributed to a reduction in the bandgap and increased light absorption induced by irradiation. X‐ray diffraction (XRD) analysis reveals a decrease in crystallinity due to disrupted atomic order within the nanocomposite. Williamson–Hall (W‐H) plots show a dose‐dependent reduction in crystallite size and a corresponding rise in lattice strain with increasing irradiation dose. Infrared (IR) spectroscopy suggests potential bond breaking of O‐H groups and modifications in C=O functional groups upon irradiation. The absorption coefficient and binding energy exhibit a nonmonotonic response with increasing dose, reaching an optimum at around 100 kGy. These findings demonstrate the potential of gamma irradiation for tailoring the optoelectronic properties of PVC:(50 nm)/CeO₂:(10 nm)/TiO₂ nanocomposites. This work paves the way for the development of next‐generation optoelectronic devices with optimized functionalities.