The present invention comprises a new class of oligonucleobases (e.g., oligonucleotides), which we call “pseudo-cyclic oligonucleotides” (PCOs). PCOs contain two oligonucleotide segments attached through their 3′-3′ or 5′-5′ ends. One of the segments (the “functional segment”) of the PCO has some functionality (e.g., an antisense oligonucleotide complementary to a target mRNA). Another segment (the “protective segment”) is complementary to the 3′- or 5′-terminal end of the functional segment (depending on the end through which it is attached to the functional segment). As a result of complementarity between the functional and protective segment segments, PCOs form intramolecular pseudo-cyclic structures in the absence of the target nucleic acids (e.g., RNA). PCOs are more stable than conventional antisense oligonucleotides because of the presence of 3′-3′ or 5′-5′ linkages and the formation of intramolecular pseudo-cyclic structures. Pharmacokinetic, tissue distribution, and stability studies in mice suggest that PCOs have higher in vivo stability than and, pharmacokinetic and tissue distribution profiles similar to, those of PS-oligonucleotides in general, but rapid elimination from selected tissues. When a fluorophore and quencher molecules are appropriately linked to the PCOs of the present invention, the molecule will fluoresce when it is in the linear configuration, but the fluorescence is quenched in the cyclic conformation. Such oligos are useful for diagnostic purposes.