  The hadron ratios measured in central Au-Au collisions are analysed by means
of Hadron Resonance Gas (HRG) model over a wide range of nucleon-nucleon
center-of-mass energies ranging from 7.7 to 200 GeV as offered by the STAR Beam
Energy Scan I (BES-I). We restrict the discussion on STAR BES-I, because of
large statistics and over all homogeneity of STAR measurements (one detector)
against previous experiments. Over the last three decades, various heavy-ion
experiments utilizing different detectors (different certainties) have been
carried out. Regularities in produced particles at different energies haven
been studied. The temperature and baryon chemical potential are deduced from
fits of experimental ratios to thermal model calculations assuming chemical
equilibrium. We find that the resulting freeze-out parameters using single
hard-core value and point-like constituents of HRG are identical. This implies
that the excluded-volume comes up with no effect on the extracted parameters.
We compare the results with other studies and with the lattice QCD
calculations. Various freeze-out conditions are confronted with the resulting
data set. The effect of feed-down contribution from week decay and of including
new resonances are also analysed. At vanishing chemical potential, a limiting
temperature was estimated as T=158.5 MeV with 3 MeV uncertainty.
