An atomic sentence is defined as a statement that contains no logical connectives, typically represented by capital letters like P, Q, B1, and B2. In contrast, a molecular sentence consists of one or more atomic sentences combined with logical connectives such as negation, conjunction, or disjunction. Examples of molecular sentences include expressions like ~P, (P & Q), and ~(B1 -> B2) & B3. Understanding these definitions is essential for grasping the fundamentals of propositional logic. This clarification on atomic and molecular sentences provides a foundational knowledge for further study in logic.