Group Theory Solutions: #77. A good rule of thumb is that bonds can only form when both participating orbirtals have the same inversion symmetry about the internuclear axis. A. In what relative positions must an s and p orbital be in order to bond? What is the symmetry of each about the internuclear axis? Both the s and the p orbital have Cinfinityv symmetry about the internuclear axis. B. In what relative positions would s and p orbitals have cancelling overlap? Here, the s orbital has Cinfinityv symmetry about the internuclear axis, but the p orbital has C_{2} antisymmetry about the internuclear axis. C. Which of the following orbitals could form bonds with each other? The only pairs of orbitals with noncancelling overlap are B, E, and G. These orbitals all have the same inversion symmetry about the internuclear axis.
