A self-paired orbital is an orbital 
that equals its paired orbital,
 |
Equivalently, 
if and only if 
.
The opposite arcs of the corresponding orbital digraph
can therefore be identified to give the edges of an undirected orbital
graph.
Self-Paired Orbital
See also
Orbital, Orbital Digraph, Orbital Graph, Paired Orbital, Permutation GroupExplore with Wolfram|Alpha
References
Lauri, J. and Scapellato, R. "Orbital Graphs and Strongly Regular Graphs." Ch. 4 in Topics in Graph Automorphisms and Reconstruction, 2nd ed. Cambridge, England: Cambridge University Press, pp. 64-78, 2016.Cite this as:
Weisstein, Eric W. "Self-Paired Orbital." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Self-PairedOrbital.html