"We theoretically studied photoionization of atoms and molecules in the frame of Perelomov-Popov-Terent’ev (PPT) and Ammosov-Delone-Krainov (ADK) theories. Strong-field single ionization of two diatomic molecules, N_2 and O_2, are studied and compared to Ar and Xe atoms, using an 800 nm Ti:sapphire laser in the 3×〖10〗^13 to 1×〖10〗^15 Wcm^(-2) intensity range. To eliminate disagreement between theoretical and experimental findings in a low intensity fields (~6×〖10〗^13 Wcm^(-2)), we considered the influence of shifted ionization potential. Including these effects in the ionization rates, we numerically solved rate equations in order to determine an expression for the ionization yields. The use of modified ionization potential showed that the ionization yields will actually decrease below values predicted by original (uncorrected) formulas. This paper will discuss the causes of this discrepancy. Keywords: tunneling ionization, ionization rate, ionization yield, molecules. "