In the context of the extended thermodynamics, we considered
the higher dimensional Tabu–NUT/Bolt–AdS solution and obtained
their thermal quantities such as the enthalpy, the entropy, the specific
heat, and the thermodynamic volume and so on
We investigated their phase structure through their thermal
quantities, and found out that the thermodynamic nature of the
Taub–NUT/Bolt–AdS system dramatically changes due to odd or
even u. In particular, it was found out that there existed the first
order phase transition from the Taub–NUT–AdS to the Taub–Bolt–
AdS for all odd u