Closed shell bonding can be described by a theory that relates the manner that atoms fill their outer shells to algebraic formulas. Equations can be derived that are capable of deciding whether a given electron configuration gives a closed shell electron structure or not. A combinatorial analysis can be used to try every possible electron configuration for a given structure. The equations are then used to determine whether each structure gives a closed shell electron configuration. Some of these molecules may be considered impossible because they are bonded to noble gases. However, a list of molecules that contain a noble gas species is included to show that bonding to noble gases is not impossible. An initial list of triatomic linear molecules is presented.
Geach, Jonathan, "The algebraic application of Lewis structures in conjunction with combinatorial analysis in global molecular identification from graphs" (2001). Senior Research Projects. 70.