Magnetic couplings between protons, such as through-space dipole couplings, and scalar J-couplings depend sensitively on the structure of the molecule. Twodimensional nuclear magnetic resonance experiments provide a powerful tool for measuring these couplings, correlating them to specific pairs of protons within the molecule, and calculating the structure. This work discusses the development of NMR methods for examining two such classes of problems-determination of the secondary structure of flexible molecules in anisotropic solutions, and primary structure of large biomolecules in aqueous solutions. The anisotropic environment of liquid crystals prevents complete averaging of the proton-proton dipolar interaction, leading to intractably complex spectra. By a series of synthetic and spectroscopic steps, the residual dipole couplings for a series of alkanes (_hexane through _decane) are measured and assigned. These are used as experimental constraints for mean field models of the solute-solvent interaction. Such calculations yield values for the trans-gauche energ3r difference for the carboncarbon bonds, and give a time-averaged picture of the alkane's conformation and orientation withinthe liquid cystalline environment. Proton J-couplings in liquid-phase molecules providea directmeasure of the bond connectivities withinthe molecule, from which a structure can be derived. A new heteronuclear decoupling sequence, DIPSI-2,has been employed to transfer polarization betweencoupledspins. Thiswindowless radiofrequency pulsesequence generates much more efficient magnetization transfer than earlier sequences, yieldingtwo-dimensional spectra witLbetter cross-peak intensity and cleaner lineshapes. Two additional developments arealso discussed: the implementation ofiterative schemesto the generation ofmultiple-pulse echotechniques, and the measurement ofthe geometric component ofthe transition probability ina two-level system.By phase-shining the pulsesofa Cart-Purcell echo train, itsability to preserve both the amplitudeand phase of the magnetization isimproved dramatically. These echo sequencesfindapplication in imagingexperiments, where they areemployed forvolume selection, or improvementinsignal-to-noise. The secondtopicinvolves measuringthe effect ofa Hamiltonian's geometryon the transition probability of a two-level system duringa near-adiabatic radiofrequency sweep.This experiment verifies the existence ofa component of the probability that depends onlyon the shapeof thesweep profile, and not the rateofpassage.