  In this work we introduce a new semi-implicit second order correction scheme
to the kinetic Kohn-Sham lattice model. The new approach is validated by
performing realistic exchange-correlation energy calculations of atoms and
dimers of the first two rows of the periodic table finding good agreement with
the expected values. Additionally we simulate the ethane molecule where we
recover the bond lengths and compare the results with standard methods.
Finally, we discuss the current applicability of pseudopotentials within the
lattice kinetic Kohn-Sham approach.
