  We investigate the thermodynamical properties of solutions to the 5D Einstein
and Einstein-Maxwell-dilaton equations describing static black holes on ALF
gravitational instantons. Some general expressions regarding the nut charge and
potential are derived, as well as Smarr-like relations. The thermodynamics of
two particular solutions representing a static black hole on Taub-Nut and
Taub-Bolt instantons are examined in detail. Two dierent approaches for
computation of the mass and the tension - the Komar and counterterm method, are
applied and compared. A new charged black hole on Taub-Bolt instanton is
constructed and investigated.
