Degenerate orbitals properties

This property is readily explained by molecular orbital theory two electrons must be placed in two degenerate orbitals. The most favourable arrangement contains one electron in each orbital, with their spins parallel (a triplet state). 

The transformation properties of the odd-parity order parameters imder spatial rotations is reduced to considering the behavior of the quasiparticle states. To leading order in the small ratio kT / so we include the spin-orbit interaction in the calculation of the local atomic basis states, in a second step they are coherently superposed to form extended states. For bands derived from one doubly (Kramers-)degenerate orbital the elements of the point group should act only on the propagation vector. When the Cooper pairs, i.e., the two-particle states, are formed the orbital and spin degrees of freedom can be treated independently. With the spin-orbit interaction already included in the normal state quasiparticles one can use Machida s states derived for vanishing spin-orbit interaction. 

The effect of axial ligands on ground state properties of complexes with orbitally degenerate ground terms. G. A. Webb, Coord. Chem. Rev., 1969, 4,107-145 (151). 

The number of electrons in an atom affects the properties of the atom. The hydrogen atom, with one electron, has no electron-electron repulsions therefore, all the orbitals of a given shell in the hydrogen atom are degenerate. For instance, the 2s-orbital and all three 2p-orbitaIs have the same energy. In many-electron atoms, however, the results of spectroscopic experiments and calculations show... 

The subsets of d orbitals in Fig. 3-4 may also be labelled according to their symmetry properties. The d ildxi y2 pair are labelled and the d yldxMyz trio as t2g. These are group-theoretical symbols describing how these functions transform under various symmetry operations. For our purposes, it is sufficient merely to recognize that the letters a ox b describe orbitally i.e. spatially) singly degenerate species, e refers to an orbital doublet and t to an orbital triplet. Lower case letters are used for one-electron wavefunctions (i.e. orbitals). The g subscript refers to the behaviour of... 

---