Complete the exercises below. Determine if each of the following metal complexes is chiral and therefore has an optical isomer: c. octahedral cis-[V(en)₂ClBr].

Chirality refers to the geometric property of a molecule that makes it non-superimposable on its mirror image, much like left and right hands. A chiral molecule typically has an asymmetric carbon atom, but in coordination complexes, chirality can arise from the arrangement of ligands around a central metal atom. Understanding chirality is essential for determining whether a complex can exist in two optical isomers.

Octahedral geometry is a common arrangement in coordination chemistry where a central metal atom is surrounded by six ligands at the corners of an octahedron. The spatial arrangement of these ligands can lead to different isomeric forms, including cis and trans configurations. In the case of the complex cis-[V(en)₂ClBr], the specific arrangement of the ligands is crucial for assessing its chirality.

Optical isomers, or enantiomers, are pairs of chiral molecules that are mirror images of each other and cannot be superimposed. These isomers exhibit different optical activities, meaning they rotate plane-polarized light in opposite directions. The presence of optical isomers in a metal complex indicates chirality, which is determined by the arrangement of ligands and the overall symmetry of the complex.