5580 J. Am. Chem. Soc., Vol. 119, No. 24, 1997
Remenar and Collum
Scheme 3
Of course, a more direct approach to avoid the “universal
ground state” assumption is to determine the relative stabilities
of the reactants. We described a method by which the kinetics
of elimination provide the thermodynamics of solvation. Be-
cause of the different inherent reactivities of the dimeric
reactants i-iii (Scheme 1) coordinated by the solvents SR and
Sâ, a plot of kobsd vs solvent mole fraction (X) affords a sigmoidal
function (Figure 6). The two y-intercepts provide the rate
constants for metalations by i and iii with the corresponding
activation energies ∆G°(A) and ∆G°(B) (Figure 4). A nonlinear
least-squares fit to eq 9 or eq 10 affords the relative solvent
binding constants and the relative stabilities of the ground states
based upon reactants i and iii (∆G°(C) in Figure 4). Overall,
the single plot in Figure 6 provides the relative ground state
stabilities and transition state stabilities. Results from selected
cases confirmed that the hemilabile ligands bearing methyl ether
moieties bind equivalently to the LDA dimer. Consequently,
this confirms the assumption that the dramatic and variable rate
increases observed for DME and a variety of bidentate ligands
(Chart 1) stem entirely from differential transition structure
solvation.
1) suggests the lack of such a simple correlation.38 By ignoring
the solvent effects on the reactants, one implicitly assumes that
all ground states are of the same energy. We facetiously call
this the “universal ground state”. It is difficult, yet essential,
to dissect relatiVe reaction rates into the rate retarding influence
of ground state stabilization and the rate accelerating influence
of transition state stabilization. Failure to consider both is
logically flawed and will lead to inValid conclusions. More
detailed discussions of this problem have been published.3,4
We avoided the “universal ground state” assumption in two
ways. The simple solution was to choose potentially chelating
ligands in which the binding affinities to the LDA dimer can
be assumed to be equal. The non-chelated (η1) DME ligands
on LDA dimer 4 should have the same binding constant as
n-BuOMe. In other words, the substitution of DME for
n-BuOMe should be thermoneutral. If so, the 50-fold rate
acceleration for LDA/DME compared to LDA/n-BuOMe can
be ascribed to the stabilization of a chelated transition structure
such as 12 (Scheme 3). We extended this study to include a
variety of methyl ethers bearing potentially chelating pendant
groupssso-called “hemilabile ligands” (Chart 1). We have
previously shown that even the least hindered trialkylamines
are poor ligands for lithium amide dimers.2a,11,20-23,39-42 This
ensures that only the methoxy groups are coordinated in the
ground state and that ligand substitution is thermoneutral.
Determination of selected rate laws (Table 1) secured the
mechanistic homology with LDA/DME (Scheme 3). Thus, we
can attribute the marked ligand-dependent rate variationssup
to 103-fold in optimal casessto differential transition structure
stabilization. It is both interesting and important to note that,
had we used potentially chelating diamines, we would have
seriously undermined mechanistic interpretations by forfeiting
our understanding of relative reactant stabilities.
Transition Structure Solvation: The Chelate Effect. The
rate accelerations imparted by DME and related amino ethers
(Chart 1) do not derive from a general promotion of high
solvation numbers, but from selectiVe stabilization of the
transition structure relatiVe to the LDA dimer reactant. If
chelation stabilizes the reactants and the transition structures,
the sign and magnitude of a DME-induced rate change is not
readily predicted. In contrast, the view of differential transition
state solvation unobscured by differential ground state solvation
effects offers insights into the chelate effect and allows
interesting comparisons with quantitative studies of chelate
formation on LiHMDS monomers. These are as follows:
(1) Chelate ring size is critical. Hemilabile diethers and
amino ethers capable of forming five-membered chelates (12,
n ) 1) offer substantial (up to 103-fold) rate advantages when
compared to n-BuOMe. The corresponding six-membered-ring
chelates (12, n ) 2) are much less consequential. This is
consistent with their low binding affinities to monomeric
LiHMDS.23
(2) Transition structure stabilization correlates inversely with
an increasing bulk of the pendant ligand. For example, the
elimination rates for LDA solvated by MeOCH2CH2NR2 follow
the order NR2 ) NMe2 > NEt2 > N(i-Pr)2. This is consistent
with LiHMDS solvation studies. However, we observe some
unexpected substituent effects. We predicted that the transition
structure stabilization would correlate with the ground state
stabilization of chelated lithium amide monomers; the best
comparison currently available is with chelated LiHMDS
monomers.23 The relative transition structure stabilizations
follow the order RN(CH2)5 (J) < RN(CH2)4 (K) < RN(CH2)3
(L) < RNMe2 (M). Binding affinities of related ethylenedi-
amines (R2NCH2CH2NR2) to LiHMDS monomers follow the
order RNMe2 ≈ RN(CH2)5 < RN(CH2)4 < RN(CH2)3.23 This
dramatic change in the relative ligating strength of the NMe2
moiety may stem from congestion in the transition structure.
This can be seen by comparing ligating strength with ligand
substitution rates on LiHMDS. While the dipyrrolidinoethane
ligand in LiHMDS monomer 13 is more strongly bound than
the TMEDA in 14, the rates of associative ligand substitutions
via monomer 15 are much slower than the corresponding
substitutions via monomer 16; the pyrrolidine groups appear to
be relatively intolerant of the additional steric congestion
occurring upon ligand association. The dehydrobrominations
of 1 by LDA are also susceptible to steric congestion associated
(38) There are a number of reports where ostensibly weaker solvent-
lithium interactions lead to increased overall reaction rates: Apparu, M.;
Barrelle, M. Tetrahedron 1978, 34, 1541. Loupy, A.; Seyden-Penne, J.
Tetrahedron 1980, 36, 1937. Reich, H. J.; Green, D. P.; Phillips, N. H. J.
Am. Chem. Soc. 1989, 111, 3444. Loupy, A.; Seyden-Penne, J.; Tchoubar,
B. Tetrahedron Lett. 1976, 1677. Bywater, S.; Worsfold, D. J. Can. J. Chem.
1962, 40, 1564. Ku¨ndig, E. P.; Desobry, V.; Simmons, D. P.; Wenger, E.
J. Am. Chem. Soc. 1989, 111, 1804. Reich, H. J.; Phillips, N. H.; Reich, I.
L. J. Am. Chem. Soc. 1985, 107, 4101. Kim, Y. H.; Choi, J. Y. Tetrahedron
Lett. 1996, 37, 5543. Reich, H. J.; Dykstra, R. R. Angew. Chem., Int. Ed.
Engl. 1993, 32, 1469. See refs 2a, 3, and 18.
(39) For early studies revealing poor coordination of trialkylamines to
organolithium aggregates, see: Settle, F. A.; Haggerty, M.; Eastham, J. F.
J. Am. Chem. Soc. 1964, 86, 2076. Lewis, H. L.; Brown, T. L. J. Am. Chem.
Soc. 1970, 92, 4664. Brown, T. L.; Gerteis, R. L.; Rafus, D. A.; Ladd, J.
A. J. Am. Chem. Soc. 1964, 86, 2135. Quirk, R. P.; Kester, D. E. J.
Organomet. Chem. 1977, 127, 111.
(40) For a discussion of steric effects of amines in the context of transition
metal ligation see: Seligson, A. L.; Trogler, W. C. J. Am. Chem. Soc. 1991,
113, 2520. Choi, M.-G.; Brown, T. L. Inorg. Chem. 1993, 32, 1548.
Widenhoefer, R. A.; Buchwald, S. L. Organometallics 1996, 15, 3534.
(41) Lucht, B. L.; Collum, D. B. J. Am. Chem. Soc. 1996, 118, 2217.
(42) Bernstein, M. P.; Romesberg, F. E.; Fuller, D. J.; Harrison, A. T.;
Collum, D. B.; Liu, Q.-Y.; Williard, P. G. J. Am. Chem. Soc. 1992, 114,
5100.