Abstract
The nonrelativistic ionization energy levels of a helium atom are calculated for S , P , and D states. The calculations are based on the variational method of “exponential” expansion. The convergence of the calculated energy levels is studied as a function of the number of basis functions ( N ). This allows us to claim that the obtained energy values (including the values for the states with a nonzero angular momentum) are accurate to 20 significant digits.