Level structures of the transfermium odd-odd nucleus Md252

Low-energy level scheme of doubly odd transfermium nucleus ${}_{101}^{252}{\mathrm{Md}}_{151}$ is constructed using our well-tested two-quasiparticle rotor model with explicit inclusion of residual n-p interaction contribution. Energy levels thus deduced are examined critically to assign spin-parity ${J}^{\ensuremath{\pi}}K$ and two-quasiparticle (2qp) configurations to the $^{252}\mathrm{Md}$ ground state and other energy levels with ${E}_{x}l400$ keV. Our low-energy level structures are then examined to predict a high-spin $({J}^{\ensuremath{\pi}}={8}^{+})$ long-lived isomer with ${E}_{x}\ensuremath{\approx}125$ keV and possibly also a lower-lying short-lived isomeric state. Comparison with $^{256}\mathrm{Lr}$ $(\ensuremath{\alpha})$ populated $^{252}\mathrm{Md}$ excited states leads to ${J}^{\ensuremath{\pi}}K$ and 2qp assignment to each of these experimentally postulated levels. Further, the five $\ensuremath{\gamma}$'s ascribed to $^{252}\mathrm{Md}$ from $\ensuremath{\alpha}\text{\ensuremath{-}}\ensuremath{\gamma}$ coincidence experiments are placed in our evaluated levels corresponding to $\mathrm{\ensuremath{\Delta}}I=2$ transition in each case. Additionally, exploration of the upward extended radioactive connection of $^{232}\mathrm{Th}$ heading the $A=4n$ naturally occurring radioactive series to the heaviest known superheavy element with $A=4n$, namely ${}_{111}^{272}{\mathrm{Rg}}_{161}$, has led us to establish landmark position of $^{252}\mathrm{Md}$ in this $^{272}\mathrm{Rg}\text{\ensuremath{-}}^{232}\mathrm{Th}$ extended decay chain.