www.bu.edu/qale Property: log (Anti/Syn) for the products of the following reaction OH SiMe3 + Me3NO OsO4 SiMe3 HO OSIZ3 OSIZ3 Reference: B. Lorsbach, A. Prock and W. P. Giering, unpublished results Related Links: Property: log (Anti/Syn) for the products of the following reaction: (Analysis) OH SiZ3 + Me3NO OsO4 OAc SiZ3 HO OAc Summary: log (A/S) = (25±6) - (0.5±0.3)χ d - (0.16±0.03)θ + (1.0±0.9)Ear n=9 s = 0.3013 %(χ d+ Ear) = 61 r 2 = 0.944 %θ = 39 General Comments: Data: -OSiZ 3 SiMe3 SiMe2Ph SiEt3 SiMe2Cy PBu3 SiMePh2 SiMe2(t-Bu) Si(i-Bu)3 Si(i-Pr)Me2 SiPh3 log (A/S) * 1.799 0.973 1.301 1.100 0.000 0.079 -0.301 0.903 -1.480 Graphical Analysis: d 8.55 10.5 6.30 6.20 5.25 12.6 5.70 5.70 6.85 13.25 118 122 132 135 136 136 139 143 132 145 Ear 0.0 1.0 0.0 0.0 0.0 2.2 0.0 0.0 0.0 2.7 4 log (A/S) 3 2 PPh M e i 3-i 1 0 -1 -2 0 1 2 3 4 i Interpretation of Graphs: • Plot of data versus d for Si(p-XC6H4)3(Graph A): • Slope of the SiR3 line (Graph A): • The point of intersection of the 2 lines in graph A • The plot of log (A/S) versus 'i' for SiPhiMe3-i (Graph B): The three points define a good line, the extrapolation of which to i = zero, gives a value of A/S for SiZ3 = SiMe3 of approximately 2500. • Outliers: • Steric threshold: Statistical Analysis: We began the analysis using all the data and a three parameter fit. The resulting regression equation is log (A/S) = 25.4 - 0.465χ d - 0.161θ + 1.01E ar Predictor Constant χd θ Ear πp s = 0.3013 Coef 25.430 -0.4646 -0.16135 1.0109 r 2 = 0.944 %(χ d+ Ear) = 61 Stdev 6.405 0.3092 0.03460 0.9350 r2 (adj) = 0.91 %θ = 39 t-ratio 3.97 -1.50 -4.66 1.08 p 0.011 0.193 0.006 0.329 A plot of calculated versus experimental data suggests that the point for PMe2Cy might be an outlier. Accordingly, we dropped this point from the analysis. The resulting regression equation is log(A/S) = 26.4 - 0.516χ d - 0.167θ + 1.21E ar Predictor Constant χd θ Ear πp s = 0.1682 Coef 26.425 -0.5163 -0.16712 1.2124 r 2 = 0.985 Stdev 3.587 0.1732 0.01938 0.5252 t-ratio 7.37 -2.98 -8.62 2.31 p 0.002 0.041 0.001 0.082 r2 (adj) = 0.973 We note that the coefficients of this analysis are very close to the coefficients obtained when all the data are used even though the r2 value increased significantly. In particular, the coefficient of θ is virtually unchanged. We used the first analysis to generate the steric profile shown below and report it in the 'summary section' at the top of this page. Stereoelectronic Profiles: -18 -19 log (A/S) -20 -21 -22 -23 -24 -25 110 120 130 140 150 Discussion: There has been a lively debate over the nature of the transition state for the osmylation of 1 alkenes. Houk suggested that the transition state is stabilized by the 'inside alkoxy effect'. Based on this model, we would expect that the anti isomer produced by osmylation of CH2=CHCH(OAc)SiZ3 would be formed via transition state A in Scheme 1, shown below. The syn isomer would be formed from transition state C, which lacks the stabilizing 'inside alkoxy effect'. Increasing the size of SiZ3 would have little effect on the anti/syn ratio since the silyl group is directed away from the site of reaction in both transition states. 2 In contrast, Vedejs suggested that in the most stable transition state, the small hydrogen would be directed toward the region of greatest congestion. Thus, the anti isomer would be preferentially formed via transition state B, shown below. The syn isomer would be formed via transition state D. The Vedejs model suggests that transition state B should be less congested than transition state D since in D the silyl group is located below the vinyl group and closest to the reaction site. Thus, the Vedejs model suggests a small steric effect that would favor the formation of the anti isomer as the size of the silyl group increases. The QALE analysis of the osmylation of CH2=CHCH(OAc)SiZ3 reveals a small steric effect that favors the formation of the syn isomer. This would appear to support the Houk model but the effect is small and, in our opinion, not definitive. Scheme 1 Houk Model Vedejs Model O O O O Os Os O O OH H AcO H O O H SiMe3 H HO H SiZ3 AcO OAc A B anti Os OH O O H AcO Os SiMe3 C O HO H SiZ3 O H H H O O O O AcO H SiZ3 H AcO SiZ3 syn D In the system analyzed on this web page, we kept the silyl group, SiMe3, constant; in place of the acetoxy group we used the siloxy group and varied its stereoelectronic properties. The Houk model (Scheme 2) predicts that transtion state E should lead to the anti isomer. Steric factors should favor the syn transtion state G as the size of the siloxy group increases. Since the siloxy group is located in the region of reaction in transition state E, we would expect a large steric effect that would favor the formation of the syn isomer as the size of siloxy group increases. In the Vedejs model, the anti isomer would be formed via transition state F when the siloxy group is small. As the size of the siloxy group increases we would expected that transition state H would become more favored. Since the siloxy group in transition state H is located on the face opposite to the incoming OsO4, we would expect the steric effect to be small and favor the syn isomer as the size of the siloxy groups increases. Scheme 2 Houk Model Vedejs Model O O O O Os O Os O OH H R3SiO H H O H SiMe3 HO H SiMe3 H SiMe3 R3SiO OSiZ3 E F anti O O O OH O O O Os R3SiO O Z3SiO Os SiMe3 O O H H HO H H H SiMe3 H Z3SiO SiMe3 syn G H The results of our experiments with CH2=CHCH(OSiZ3)(SiMe3) show a very large steric effect that favors the syn isomer as the size of the siloxy group increases. This is shown below where we have placed the two steric profiles on the same graph. (In order to plot the steric profiles on the same scale, we subtracted 24 from each of the data for the steric profile for the osmylation of CH2=CHCH(OAc)(SiZ3).) -18 -20 log (A/S) -22 -24 -26 -28 -30 110 C H =CHCH(OAc)SiZ 2 3 C H =CHCH(OSiZ )SiMe 2 3 3 120 130 140 150 This large steric effect clearly supports the Houk model. References 1) a) Houk, K. N.; Moses, S. R.; Wu, Y. D.: Rondan, N. G.; Jager, V.; Schohe, R.; Fronczek, F. J. Am. Chem. Soc., 1984, 106, 3880. b) Houk, K. N.; Duh, H. Y.; Wu, Y. D.; Moses, S. R. J. Am. Chem. Soc. 1986, 108, 2754. 2 a) Vedejs, E.; McClure, C. K. J. Am. Chem. Soc. 1986, 108, 1094. b) Vedejs, E.; Dent, W. H., III J. Am. Chem. Soc. 1989, 111, 6861.