# Group theory and spectroscopy pdf

## Application of Group Theory to IR Spectroscopy | Protocol

For most beginners without experience this has proven to be most difficult because it requires the individual to visually identify the elements of symmetry in a 3D object. However, once this is overcome, applying group theory to forefront point groups and symmetry operations becomes second nature. Spectroscopy is defined as the scientific study of the many interactions between electromagnetic radiation and matter. Previously, spectroscopy came from the study of visible light that is dispersed with relation to its wavelength through a prism. As time progressed, the concept of spectroscopy was explored further and eventually included any interaction with energy derived from radiation that could be quantified and organized from its wavelength [ 1 ].## Group theory and spectroscopy

Molecular symmetry in chemistry describes the symmetry present in molecules and the classification of molecules according to their symmetry. Molecular symmetry is a fundamental concept in chemistry, as it can be used to predict or explain many of a molecule's chemical properties , such as its dipole moment and its allowed spectroscopic transitions. Many university level textbooks on physical chemistry , quantum chemistry , and inorganic chemistry devote a chapter to symmetry. The predominant framework for the study of molecular symmetry is group theory. Another framework on a larger scale is the use of crystal systems to describe crystallographic symmetry in bulk materials. Many techniques for the practical assessment of molecular symmetry exist, including X-ray crystallography and various forms of spectroscopy. Spectroscopic notation is based on symmetry considerations.

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Group Theory in Spectroscopy. The group theory in this textbook will be treated in a practical way, as one of many useful tools rather than as a field of abstract.