Quantum-chemically calculated energy profiles (in kJ mol−1) for the addition of the sulfonium ylide 7 to the electrophiles 1–5 at the SMD(DMSO)/M06-2X/6-31+G(d,p) level of theory.
Electrophiles | Mayr E | k 2 (M−1 s−1) | ΔG‡expb | Trans-pathway | Cis-pathway | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|
ΔG‡(TS1)c | ΔG°(IM) | ΔG‡(TS2) | ΔG° | ΔG‡(TS1)c | ΔG°(IM) | ΔG‡(TS2) | ΔG° | ||||
1a | −20.6 | 1.1 | 71.5 | 73.5 | 15.3 | 35.8 | −160.0 | 81.6 | 16.3 | 47.9 | −152.7 |
1b | −22.1 | 1.1 | 71.6 | 83.7 | 28.8 | 51.1 | −150.9 | 82.1 | 34.9 | 61.2 | −144.3 |
1c | (−28.9) | 4.7 × 10−6 a | 101.7 | 101.1 | 46.7 | 66.8 | −140.5 | 101.5 | 41.9 | 70.7 | −137.7 |
2a | −22.1 | 0.52 | 73.4 | 82.4 | 19.2 | 42.9 | −161.4 | 82.9 | 18.8 | 62.2 | −145.0 |
2b | (−27.5) | 4.1 × 10−5 a | 96.4 | 92.4 | 42.9 | 54.8 | −151.3 | 88.5 | 39.4 | 74.6 | −139.7 |
2c | (−29.6) | 1.6 × 10−6 a | 104.3 | 103.4 | 46.3 | 70.0 | −143.9 | 102.1 | 48.7 | 83.1 | −133.1 |
3 | −22.0 | 0.53 | 73.3 | 80.7 | 19.0 | 45.5 | −172.8 | 85.8 | 12.4 | 56.7 | −151.7 |
4a | −20.7 | 2.9 | 69.2 | 72.8 | 20.3 | 40.1 | −159.5 | 79.9 | 17.7 | 56.8 | −156.9 |
4b | −19.4 | 8.4 | 66.6 | 73.8 | −1.0 | 24.8 | −179.7 | Ident. | Ident. | 25.8 | −179.3 |
5a | −21.8 | 0.41 | 73.9 | 78.3 | 15.0 | 44.3 | −165.6 | 79.5 | 17.6 | 57.2 | −153.3 |
5b | −19.5 | 5.1 | 67.8 | 68.6 | −5.0 | 15.4 | −176.0 | Ident. | Ident. | 24.0 | −181.9 |
k 2 calculated by using eqn (1), the nucleophilicity parameters N and sN of 7 and the electrophilicity parameters E from Table 1.
Calculated by applying k2 in the Eyring equation.
Entries for ΔG‡(TS1) printed in bold indicate the favored transition state (trans vs. cis) used for the correlations in Fig. 5.