To determine the number of CO stretching bands in the infrared (IR) spectrum of \(Fe(CO)_5\), we need to consider the molecular geometry and symmetry of the complex.
The iron pentacarbonyl, \(Fe(CO)_5\), has a trigonal bipyramidal geometry. This structure has a central iron atom surrounded by five carbon monoxide (CO) ligands. Two of the CO ligands are axial, and three are equatorial.
For such geometries, the vibrational modes can be analyzed using group theory. Each type of CO bond can have different vibrational modes based on their positions:
Therefore, by applying group theoretical analysis, we find:
Each type of stretching will result in a distinct band in the IR spectrum. Hence, the number of distinct CO stretching bands in the IR spectrum of \(Fe(CO)_5\) is 2.
Therefore, the correct answer is 2.
