Infrared and Raman spectroscopy are essential tools for the study and elucidation of the molecular structures of organic and inorganic materials. While many useful books cover these techniques, none emphasize the effect of the physical environment of chemical substances upon their molecular vibrations. One goal of this book is to show how changes in the physical environment of a compound aids in the elucidation of molecular structure and in the identification of unknown chemical compositions. Studies of a variety of chemicals in various physical states have led to the development of the Nyquist Rule. The Nyquist Rule denotes how the in-phase and out-of-phase, or symmetric and antisymmetric, molecular vibrations (or characteristic group frequencies) differ with change in their physical environment. These group frequency shift differences aid in the interpretation of spectral data into chemical information useful in the solution of problems arising in the real world. This book also gathers key information for the analyst on the nature of solute-solvent interaction, solute concentration, and the effect of temperature.