Unlike other relativistic corrections to the Schrödinger equation, such as the Darwin, mass-velocity, and spin-orbit interactions ͑SOI͒, the p 1/2 corrections do not arise from expansion of the relativistic Dirac equation. Rather, these corrections relate to the way in which the p-orbital wave functions are expanded in density functional calculations with SOI. A test of this correction is necessary in a strongly bonded system which has significant SOI effects, such as Bi 2 Te 3 . Previous electronic structure calculations of Bi 2 Te 3 have disagreed about the position of the conduction band minimum ͑CBM͒. While de Haas-van Alphen experiments find the CBM to have sixfold degeneracy, most previous calculations have found this minimum to lie at a twofold degenerate point. A recent paper found the correct degeneracy, but was unable to explain the difference in their and previous results. We find the correct degeneracy by taking into account the p 1/2 corrections, which shifts the minimum from a twofold degenerate point to a sixfold degenerate point and is necessary for the correct degeneracy of the valence band as well. The p 1/2 corrections for the Sb 5p states are much weaker, explaining the electronic structure results in the related compounds Sb