A new set of d orbitals, constructed as a linear combination of the omnipresent set of d[subscript xy], d[subscript yz], d[subscript xz], d[subscript x[superscript 2]-y[superscript 2]], and d[subscript z[superscript 2]] orbitals, is suitable for the discussion of octahedral transition-metal complexes. The main feature of the newly derived set orbitals is the equivalence of the two e[subscript g] orbitals in terms of their spatial appearance, which may facilitate the understanding of degeneracy in terms of ligand field theory. Furthermore, the reader is reminded of the fundamental difference between canonical, complex solutions of the Schrodinger equation and the manifold real-valued linear combinations of them. (Contains 2 figures and 2 tables.)