According to the calculation, the most stable structure for the dehydrogenation of the first CH
4 molecule correspond to a bridge N–CH
2–Ta structure (intermediate 1, Fig.
7A). Starting from this intermediate, the conversion of another 2 CH
4 molecules proceeds similarly. For example, as shown in Fig.
7B, activation of the second CH
4 occurs via insertion of Ta into the CH
3–H bond, generating
3; this is followed by migration of the methyl group from Ta to the CH
2 unit of the first CH
4 (
3 →
4); next, the so-formed ethyl group delivers a hydrogen to the hydride ligand of Ta to extrude molecular hydrogen (
4 →
5), affording the N–CH(CH
3)–Ta structure. The conversion of the third CH
4 precisely resembles the
2 → →
5 sequence, thus proceeding along the
6 → →
9 path. Meanwhile, the formation of the N–CH(CH
3)–Ta and N–C(CH
3)
2–Ta structures may compete with alternative channels. As shown in Fig.
7B and C, via a series of transformation, the C
2H
4, C
2H
6, C
3H
6, and C
3H
8 molecules can be released from the reaction system via the sequences
2 → →
10/11 and
6 → →
12/13, respectively (for intact processes, see Figs. S11 to S13); note that although some of these processes are energetically more favorable as compared to the generation of N–CH(CH
3)–Ta and N–C(CH
3)
2–Ta, all of them are entropically much less favorable as compared to the short paths
2 → →
5 and
6 → →
9. As a result, most likely, the N–CH(CH
3)–Ta and N–C(CH
3)
2–Ta structures are the major intermediates the system goes through. However, these 2 structures may undergo further isomerization to release neutral olefin molecules: By shifting a hydrogen from the methyl group to the methylene carbon, the intact C
2H
4 or C
3H
6 is generated (
2 → →
14 and
6 → →
15). Obviously, such 2 isomerization processes are highly competitive. As to the activation of a fourth CH
4 molecule, although it is kinetically feasible at the structure
16, the lack of hydrogen in the bridging carbon prevents the conversion of the fourth methane from a sequential C–C coupling and H
2 elimination process. Consequently, the propagation of the carbon chain stops at a number 3, and C
3H
6 is released as a major product. More details are provided in the Supplementary Materials. Although we tried to calculate as many as possible pathways, there might exist other various routes; after all, the generation of C
2 and C
3 involves multiple substrates as well as a series of bond breaking and making processes.