Titlebook: ;

MILL

hazard

轻而薄

Further aspects of vibrational spectroscopy,Chapter 7 introduced the technique of projection operators to generate symmetry-adapted linear combinations (SALCs) of vectors or functions, and several examples of bond-stretching vibrations were used as illustrations.

Interim

OREX

Symmetry elements and symmetry operations,preciated from the earliest ages. Our aim here is to make the idea of symmetry quantitative, so that we can use the symmetry properties of a molecule to simplify many of the problems concerning the structure of molecules and the bonding of their constituent atoms. We will be dealing mainly with appl

EXULT

Atmosphere

Representations of groups,e, however, and more convenient for mathematical analysis, if a way could be found of representing the effects of symmetry operations numerically; thus, a . of the molecule’s point group is required. Such a representation must reproduce exactly the relationships between the symmetry operations thems

cognizant

spinal-stenosis

Neonatal

Group theory and vibrational spectroscopy,of the . atoms) and how to reduce this (or any other reducible representation) into its irreducible components. We shall now see that, using these principles, we can obtain a good deal of useful information from the vibrational spectrum of any molecule.