above-mentioned requirements reasonably well. Even so,
asymmetric construction of the chiral centers in the reported
cases requires stereodefined allylically heterosubstituted
alkenes that must be synthesized and purified for subsequent
asymmetric operations.
yield for each stereoisomer. It is noteworthy that two and
three successive and independent (lacking internal chiral
recognition) enantioselective operations of 85% and 70%
ee’s, respectively, are sufficient to provide chiral compounds
of ca. 99% ee, while permitting maximum possible chemical
yields of 86.1% and 61.8%, respectively10 (Table 1).
We recently reported a novel Zr-catalyzed enantioselective
carbon-carbon bond formation of simple, unactivated,
terminal alkenes,1 which represents an as yet rare example
of high enantioselection of one-point binding. While the ee
figures observed with alanes containing Et and higher alkyls
are typically g90%, those observed with the singularly
important methylalanes are about 75%.7 Along with our
efforts to improve the ee figures for methylalumination,8 we
were attracted by the statistical principle of enantiomeric
amplification (Horeau principle)9 through iteration of two
or more asymmetric operations or combination of two or
more chiral compounds. Thus, in the absence of internal
chiral recognition, the overall % ee after multiple asymmetric
operations (and/or synthetic combinations) may be readily
predicted from the coefficients of the general mathematical
expression (a1R + b1S)(a2R + b2S)..., where an and bn are
molar fractions of the nth R and S molecules or molecular
moieties. This also indicates the maximum possible chemical
Table 1. Statistical Enantiomeric Amplification in Iterative
Enantioselective Processes
dimeric products
trimeric products
% ee of
each cycle
max yield (%)
% ee
max yield (%)
% ee
70
75
80
85
74.5
78.1
82.0
86.1
94.0
96.0
97.6
98.8
61.8
67.2
73.0
79.2
98.9
99.4
99.7
99.9
With this statistical principle in mind, efficient syntheses
of phytol and vitamins E and K without protection-
deprotection or redox manipulation shown in Scheme 1 were
devised. We believe that these are the most direct and shortest
syntheses of vitamin E and K side chains and phytol reported
to date. The reaction of 1 with Me3Al (1 molar equiv) and
2 mol % of (-)-(NMI)2ZrCl211 in CH2Cl2 at 23 °C1 followed
by treatment with I2 (4 molar equiv) in Et2O produced iodide
2 in 72% yield. Oxidation of the carboalumination product
with O2 similarly gave the corresponding alcohol 3 in 79%
yield. Analysis of the 1H NMR spectra of its Mosher esters
obtained by using both (R)- and (S)-R-methoxy-R-trifluoro-
methylphenylacetyl chlorides (MTPA) and pyridine indicated
3 to be 74% ee. Either 2 or 3 was readily converted to 4 via
Cu-catalyzed coupling with 3-butenylmagnesium bromide in
93% or 78% yield, respectively, as shown in Scheme 1.
Conversion of 4 into 5 was carried out in 76% yield as in
the conversion of 1 into 3.
(5) (a) Scott. J. W.; Bizzarro, F. T.; Parrish, D. R.; Saucy, G. HelV. Chim.
Acta 1976, 59, 290. (b) Chan, K. K.; Cohen, N.; De Noble, J. P.; Specian,
A. C., Jr.; Saucy, G. J. Org. Chem. 1976, 41, 3497. (c) Cohen, N.; Eichel,
W. F.; Lopresti, R. J.; Neukom, C.; Saucy, G. J. Org. Chem. 1976, 41,
3505. (d) Fuganti, C.; Grasselli, P. J. Chem. Soc., Chem. Commun. 1979,
995. (e) Trost, B. M.; Klun, T. P. J. Am. Chem. Soc. 1981, 103, 1864. (f)
Fujiwara, J.; Fukutani, Y.; Hasegawa, M.; Maruoka, K.; Yamamoto, H. J.
Am. Chem. Soc. 1984, 106, 5004. (g) Takabe, K.; Uchiyama, Y.; Okisaka,
K.; Yamada, T.; Katagiri, T.; Okazaki, T.; Oketa, Y.; Kumobayashi, H.;
Akutagawa, S. Tetrahedron Lett. 1985, 26, 5153. (h) Takaya, H.; Ohta, T.;
Sayo, N.; Kumobayashi, H.; Akutagawa, S.; Inoue, S.; Kasahara, I.; Noyori,
R. J. Am. Chem. Soc. 1987, 109, 1596. (i) Inoue, S.; Ikeda, H.; Sato, S.;
Horie, K.; Ota, T.; Miyamoto, O.; Sato, K. J. Org. Chem. 1987, 52, 5495.
(j) Takano, S.; Yoshimitsu, T.; Ogasawara, K. Synlett 1994, 119.
(6) The term enantioselectivity is used here to indicate the extent of
preferential formation of one enantiomeric molecule or molecular moiety
from a prochiral molecule or molecular moiety.
1
Analysis of the H NMR spectra of the Mosher esters of
(7) Although the origin of this significant difference is not clear, the
possibility that Et and higher alkyls might exert a secondary chiral induction
stemming from R-agostic interaction, which is uniquely absent in the case
of Me, is an attractive notion to be pursued. For a recent discussion of the
effect of R-agostic interaction in alkene polymerization, see: Grubbs, R.
H.; Coates, G. W. Acc. Chem. Res. 1996, 29, 85.
5 indicated that the second Zr-catalyzed carboalumination
step to be 74% ee. It may therefore be concluded that the
second carboalumination step is essentially unaffected by the
first asymmetric carbon center. Although the NMR analysis
mentioned above failed to directly establish the overall ee
of 5, the statistical analysis discussed above indicated that
the overall ee should be 95.6%.12 The calculated diastereo-
meric ratio, i.e., (R,R + S,S)/(R,S + S,R), of 3.42 agreed
well with the experimental value of 3.3 obtained from the
relative intensities of 13C NMR signals for the C atoms of
the CH3 groups bonded to the C-2 and C-6 atoms.
(8) The ee figures for methylalumination observed by Negishi1 and Wipf2
are as follows. Negishi-Kondakov protocol: RCH2CHdCH2, 70-81% ee;
ArCHdCH2, 85% ee; c-C6H11CHdCH2, 65% ee. Wipf-Ribe modifica-
tion: RCH2CHdCH2, 75-86% ee; ArCHdCH2, 89-90% ee; c-C6H11CHd
CH2, 55-74% ee. Judging from these data, addition of H2O or MAO does
appear to improve the ee for methylalumination by several %. For the
preparation of highly pure stereoisomers, however, either subsequent
purification or further substantial improvement in ee would be needed.
(9) For recent reviews and general discussions with pertinent references,
see: (a) Rautenstrauch, V. Bull. Soc. Chim. Fr. 1994, 131, 515. (b) El Baba,
S.; Sartor, K.; Poulin, J. C.; Kagan, H. B. Bull. Soc. Chim. Fr. 1994, 131,
525. For applications of the statistical asymmetric amplification-purifica-
tion, see: (c) Vigneron, J. P.; Dhaenens, M.; Horeau, A. Tetrahedron 1973,
29, 1055. (d) Toda, F.; Tanaka, K. Chem. Latt. 1986, 1905. (e) Fleming, I.;
Ghosh, S. K. J. Chem. Soc., Chem. Commun. 1994, 99. The references list
below are several earlier and representative examples among many that
explicitly discuss the statistical asymmetric amplification in synthesis: (f)
Kogure, T.; Eliel, E. L. J. Org. Chem. 1984, 49, 578. (g) Midland, M. M.;
Gabriel, J. J. Org. Chem. 1985, 50, 1144. (h) Hoye, T. R.; Suhadolnik, J.
C. J. Am. Chem. Soc. 1985, 107, 5312. (i) Mori, K.; Senda, S. Tetrahedron
1985, 41, 541.
Noting in the literature13 that all four diastereomers of
vitamin E can be separately seen by 13C NMR spectroscopy,
(10) See Table 1 compiled by using the mathematical expression: (a1R
+ b1S)(a2R + b2S) (a3R + b3S).
(11) This compound was originally synthesized by G. Erker and co-
workers: Erker, G.; Aulbach, M.; Knickmeier, M.; Wingbermu¨hle, D.;
Kru¨ger, C.; Nolte, M.; Werner, S. J. Am. Chem. Soc. 1993, 115, 4590.
(12) Compound 3 of 74% ee ) 0.87R + 0.13S and compound 5 of 74%
ee at C-2 ) 0.87R + 0.13S gives the following statistical expression (0.87R
+ 0.13S)2 ) 0.7569R,R + 0.0169S,S + 0.1131R,S + 0.1131S,R. The
statistically predicted overall % ee of 5 ) ((0.7569-0.0169)/(0.7569 +
0.0169)) × 100 ) 95.6%. The diastereomeric ratio of 5 ) (0.7569 +
0.0169)/(2 × 0.1131) ) 3.42.
3254
Org. Lett., Vol. 3, No. 21, 2001