Step 1: Understanding the types of isomerism.
1. Enantiomers: Molecules that are non-superimposable mirror images of each other.
2. Diastereomers: Stereoisomers that are not mirror images of each other.
3. Conformational isomers: Isomers that differ by rotation about a single bond.
4. Constitutional isomers: Molecules with the same molecular formula but different connectivity of atoms.
Step 2: Analyzing molecules A and B.
The given molecules A and B have the same molecular formula. However, the connectivity of atoms differs between the two structures. For example, the positions of the functional groups (like the ( {NO}_2 ) group) and the bonds differ between the two molecules.
This difference in connectivity indicates that the two molecules are constitutional isomers.
Step 3: Conclusion.
The correct classification of molecules A and B is that they are constitutional isomers.