  The transverse momentum $(p_T)$ spectra of charged particles measured in Au +
Au collisions from the beam energy scan (BES) program, Cu + Cu collisions at
$\sqrt{s_{NN}}=62.4$, 200 GeV at the RHIC and Pb + Pb, Xe + Xe collisions at
the LHC are investigated in the framework of Tsallis thermodynamics. The theory
can describe the experimental data well for all the collision systems, energies
and centralities investigated. The collision energy and centrality dependence
of the Tsallis distribution parameters, i.e., the temperature $T$ and the
nonextensive parameter $q$, for the \mbox{A + A} collisions are also studied
and discussed. A novel scaling between the temperature divided by the natural
logarithm of collision energy $(T/\ln\sqrt{s})$ and the nonextensive parameter
$q$ is presented.
