Step 1: Understanding the Question:
The question asks us to identify the heterocyclic organic compound from the given list that does not possess a nitrogen atom in its molecular ring structure.
Step 2: Detailed Explanation:
Let's review the fundamental chemical structures of these common heterocyclic rings:
- (b) Pyridine: A 6-membered aromatic ring containing one Nitrogen atom ($C_5H_5N$).
- (c) Pyrrole: A 5-membered aromatic ring containing one Nitrogen atom ($C_4H_4NH$).
- (d) Piperidine: A fully saturated 6-membered ring containing one Nitrogen atom (it is the hydrogenated, non-aromatic version of pyridine).
- (a) Thiophene: A 5-membered aromatic ring where the heteroatom is Sulphur, not nitrogen ($C_4H_4S$).
Step 3: Final Answer:
Thiophene contains sulphur, not nitrogen, matching option (a).