The energies of the atoms and ions of the elements of the second period in the periodic table are calculated with a set of simple variational wave functions. The form of the wave functions used is as follows: 1s:ψ1(r)=N1e-μar, 2s:ψ2(r)=N2[(μr)e-μr-Ne-μar], 2p:ψ3(r)=N3(μr)cosθe-μr,ψ4(r)=N4(μr)sinθeiφ-μr,ψ5(r)=N5(μr)sinθe-iφ-μr.There are only two parameters in all. The parameter ft is a scale factor, the best value of which can be determined analytically, leaving but only one parameter a to be determined numerically. N1, N2, N3, N4, and N5 are normalization factors. The constant N is fixed so that ψ2 is orthogonal to ψ1. The results of this calculation are better than those calculated by Кириллова, Веселов и Братцев with their wave functions containing three parameters and are very close to those calculated in a previous paper by us with wave functions containing five parameters.