The remarkable binding properties of LNA (Locked Nucleic Acid) and alpha-L-LNA (the alpha-L-ribo configured diastereoisomer of LNA) are summarized, and hybridization results for LNA/2'-O-Me-RNA chimera and LNAs with a "dangling" nucleotide are introduced. In addition, results from NMR investigations on the furanose conformations of the individual nucleotide monomers in different duplexes are presented. All these data are discussed with focus on the importance of conformational steering of unmodified nucleotides in partly modified LNA and alpha-L-LNA sequences in relation to the unprecedented binding properties of LNA and alpha-L-LNA.