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. Author manuscript; available in PMC: 2011 Mar 17.
Published in final edited form as: J Am Chem Soc. 2010 Mar 17;132(10):3304–3311. doi: 10.1021/ja903653j

Table 2.

Predicted solvent-corrected (CPCM) free energy barriers (ΔG, 423K) free energy barrier differences [ΔΔG = ΔG(TS3) - ΔG(TS2)] along with experimentally measured 2:3 ratios and corresponding ΔΔG values. All energies given in kcal mol−1.a

Product M05-2X M06-2X B3LYP Experiment



ΔG ΔΔG ΔG ΔΔG ΔG ΔΔG 2:3 Ratio ΔΔG
H 2a 38.1 37.4 58.5 - -
Me 2b 36.7 35.4 60.5
3b 36.7 0.0 36.1 0.3 59.8 −0.7 1:3 −0.9
OMe 2c 37.1 36.2 61.0
3c 38.9 1.8 38.2 2.0 60.8 −0.2 5:1 1.4
Br 2d 33.1 32.6 60.8
3d 34.4 1.3 34.2 1.7 60.6 −0.2 17:1 2.4
C 2e 28.4 27.5 58.9
3e 30.6 2.2 29.9 2.4 59.8 0.9 b b
F 2f 35.4 34.9 58.3
3f 38.4 2.9 37.8 2.9 59.0 0.7 b b
a

AVDZ′ basis set used for substrates 2d and 3d. 6-31+G(d) basis set used for the remaining systems.

b

Substrates 1e and 1f were not tested experimentally.