A detail investigation on quaternary, ternary, and binary fission of Nobelium

The quaternary, \(\alpha\) $\alpha$ -ternary, and binary fission of \(^{249-262}\) $_{}^{249-262}$ No has been studied by considering the role of deformation and angle of orientation. identified by investigating driving potential, yield, and half-lives. The identified fission fragment combination from the cold-valley plot possesses nearly magic and magic numbers of either atomic/neutron numbers or both. The branching ratio of \(\alpha\) $\alpha$ -decay with respect to quaternary, \(\alpha\) $\alpha$ -ternary, and binary fission is studied. After rigorous investigation between different decay modes, it was is noticed that \(^{249}\) $_{}^{249}$ No and \(^{261}\) $_{}^{261}$ No undergo spontaneous fission. The quaternary fission of \(^{249-262}\) $_{}^{249-262}$ No is the first of its kind that is not observed in the literature. Spontaneous fission half-lives of \(^{249}\) $_{}^{249}$ No and \(^{261}\) $_{}^{261}$ No posses shorter half-lives when compared to other possible decay modes such as quaternary fission, \(\alpha\) $\alpha$ -ternary, binary fission, alpha, and \(\beta\) $\beta$ -decay. The half-lives of \(^{249}\) $_{}^{249}$ No and \(^{261}\) $_{}^{261}$ No are found to be 1.05 \(\times 10^{-2}\) $\times {10}^{-2}$ s and 123, respectively. We hope that the present work will lay the foundation for future investigations.