Recently, the detection of molecular species in laser-induced breakdown spectroscopy (LIBS) has gained increasing interest, particularly for isotopic analysis. In LIBS of organic materials, it is predominantly CN and C2 species that are formed, and multiple mechanisms may contribute to their formation. To gain deeper insight into the formation of these species, laser-induced plasma of (13)C and (15)N labeled organic materials was investigated in a temporally and spatially resolved manner. LIBS on fumaric acid with a (13)C labeled double bond allowed the formation mechanism of C2 to be investigated by analyzing relative signal intensities of (12)C2, (12)C(13)C, and (13)C2 molecules. In the early plasma (<5 μs), the majority of C2 originates from association of completely atomized target molecules, whereas in the late plasma, the increased concentration of (13)C2 is due to incomplete dissociation of the carbon double bond. The degree of this fragmentation was found to be up to 80% and to depend on the type of the atmospheric gas. Spatial distributions of C2 revealed distinct differences for plasma generated in nitrogen and argon. A study of the interaction of ablated organics with ambient nitrogen showed that the ambient nitrogen contributed mainly to CN formation. The pronounced anisotropy of the C(15)N to C(14)N ratio across the diameter of the plasma was observed in the early plasma, indicating poor initial mixing of the plasma with the ambient gas. Overall, for accurate isotope analysis of organics, LIBS in argon with relatively short integration times (<10 μs) provides the most robust results. On the other hand, if information about the original molecular structure is of interest, then experiments in nitrogen (or air) with long integration times appear to be the most promising.