Summary: Here is the combined summary of all the chunks in 200 words:

Character tables in physics and chemistry simplify problem-solving by providing information about irreducible representations of groups, which helps find the number of irreducible representations and the order of the group. Symmetry point groups, such as C1, C2, C3, C4, C5, and C6, have character tables that give information about rotational and translational coordinates, as well as x, y, and z coordinates. Infrared (IR) spectroscopy is a technique used to study the interaction between matter and electromagnetic radiation in the IR region, commonly used in analytical chemistry to identify and quantify the composition of materials. IR spectroscopy instruments are commercially available, including dispersive and Fourier transform (FT) instruments, and are used in various fields, including pharmaceuticals, chemistry, and biology, to study the structure and properties of molecules.