DNA hybridization is fundamental to biotechnology applications like sequencing, PCR, and DNA microarrays. The design of primers and probes requires prediction of melting temperatures and optimum structures for DNA duplexes or self-structure. Successful prediction algorithms typically assume that hybridization thermodynamics depend on nearest-neighbor base pairs. Our interest is in extending the reach of quantitative thermodynamics to modified nucleic acids, initially specifically Locked Nucleic Acid (LNA). LNA incorporation increases duplex stability and confers nuclease resistance, and this combination has made LNA popular in diverse applications requiring short oligonucleotides. We have measured a large set of UV absorbance melting curves to provide a database of nearest neighbor rules for predicting optimal incorporation sites and sequences. The challenges in this effort are first the design of an affordable set of sequences that still gives good coverage, then the extraction of useful thermodynamics from noisy data, and finally analysis using intuition and singular value decomposition to give the best predictions using the smallest possible set of parameters. We have also characterized all of the LNA-DNA mismatches as well as positional variations. Rules of thumb and rules for algorithms will be presented.