Novel .beta.-lactam monomers bearing various functional groups are prepared. The novel .beta.-lactam monomers can be joined into oligomeric compounds such as via preferred phosphate linkages including phosphodiester and phosphorothioate linkages. Useful functional groups include nucleobases as well as polar groups, hydrophobic groups, ionic groups, aromatic groups and/or groups that participate in hydrogen bonding. The oligomeric compounds are useful as diagnostic and research reagents.