  In this paper we revisited phenomenological potentials. We studied S-wave
heavy quarkonium spectra by two potential models. The first one is power
potential and the second one is logarithmic potential. We calculated spin
averaged masses, hyperfine splittings, decay constants, leptonic decay widhts,
two-photon and two-gluon decay widths and some allowed M1 transitions. We
studied ground and 4 radially excited S-wave charmonium and bottomonium states
via solving nonrelativistic Schr\"odinger equation. Although the potentials
were studied in this paper is not directly QCD motivated potential, obtained
results are agree well with experimental data and other theoretical studies.
