  The Breit correction, the finite-light-speed correction for the Coulomb
interaction of the electron-electron interaction in $ O \left( 1/ c^2 \right)
$, is introduced to density functional theory (DFT) based on the
non-relativistic reduction with the local density approximation. Using this
newly developed relativistic DFT, it is found that the possible outer-most
electron of lawrencium atom is the $ p $ orbital instead of the $ d $ orbital,
which is consistent with the previous calculations based on wave-function
theory. A possible explanation of the anomalous behavior of its first
ionization energy is also given. This DFT scheme provides a practical
calculation method for the study of properties of super-heavy elements.

Computational Physics;Materials Science;Other Condensed Matter;Atomic Physics;Chemical Physics