According to the plane wave Born approximation (PWBA) and the binary encounter approximation (BEA) models, it is possible to fit the cross sections obtained with any atomic element at any particle energy using a scaling law for a K-shell. The semi-empirical K-shell ionization cross sections are then deduced by fitting the available experimental data normalized to their corresponding theoretical values. For the empirical K-shell ionization cross sections, a third-order polynomial was used to fit the same experimental data for protons. Our results are compared with the predictions of the ECPSSR theory and with other earlier works. Good agreement is obtained, but it is emphasized that the ultimate solution is to deduce the cross sections by fitting the available experimental data for each element separately. 30 Zn using different existing formulas. 11 -14 The experimental cross sections for proton impact used for the calculation of semi-empirical and empirical cross section are selected from the different compilations of Heitz 5 et al. Lapicki 6 and Paul and coworkers. 7,8 In addition to this, we selected an important number of data from papers published from 1992 to 1999, 15 -18 in which Tribedi et al. 15 have measured the ionization cross sections of 11 Na, 12 Mg, 13 Al, 14 Si, 17 Cl, 19 K, 20 Ca, and 22 Ti by protons in the range of 0.5 to 2.5 MeV, Cipolla et al. 16 reported the cross sections for elements between 21 Sc and 30 Zn with proton energy from 0.075 to 0.3 MeV, Yu et al. 17 have given the ionization cross sections for incident protons, deuterons, 3 He, and helium ions for 27 Co, 28 Ni, and 29 Cu, and Ouziane 18 has measured the production cross sections for 13 Al, 24 Cr, 29 Cu, 27 Ag, and 49 In by proton impact in the range of 1 to 2.3 MeV. We have at our disposal a total of 2728 experimental data for 13 Ä Z 2 Ä 30. Since the range of elements with 13 Ä Z 2 Ä 30 contains about the half of the entire database published from 1956 to 1999, we choose to present and discuss the results for this range. Also, we present a polynomial fit for 13 Al, 18 Ar, 25 Mn, and 28 Ni separately. The semi-empirical