Chemistry Letters 2001
233
MM2 force field which is adequate for describing Pirkle-type
host–guest interactions.6 The potential energy surface was obtained
by varying its torsion angles, β and γ , by 10° (Figure 3a). Only one
minimum was located at (β, γ ) = (130°, 130°) and further mini-
mization led to a minimum at more refined angles (134°, 127°). A
separate MC conformation search7 led to the same result. Thus,
only this conformer (Hg) was considered for the complex. The
same relaxed scan minimization was performed for the guest in
three independent variables (δ, ψ and ω) by a total of 42 875 calcu-
lations [(35 for δ) × (35 for ψ) × (35 for ω)]. Figure 3b shows a
potential energy curve as a function of δ. There are two minima,
one at δ = 20° (syn) and another at δ = 170° (anti). The anti con-
former was 14 kJ/mol less stable than the syn conformer, probably
due to larger repulsion between the two carbonyl oxygens. About
99% of the guest molecules should exist as syn and thus only the
syn conformer was considered in the simulation. Figure 3c shows a
contour diagram of potential energies of this syn conformer as a
function of ψ and ω. Five stable conformers (G1–G5) were locat-
ed. Since the energy differences were small and the energy barriers
between them were low, all of these conformers were included in
the calculations. Using these selected conformers, five host–guest
complexes (Hg:G1, ···, Hg:G5) were built, assuming a 1:1 ratio of
the host to the guest. The host and the guest were treated as rigid
bodies.6 Minimum-energy configurations of the complexes were
identified by the MC search method by rotating and translating the
guest relative to the host randomly. Ten thousand host–guest com-
plex structures were tried. The Boltzmann-averaged ∆∆G was cal-
culated6 over the stable configurations of the complexes.
repulsion between the two carbonyl oxygens. However, the syn
conformer is still dominant (97% population) and was considered in
the complex simulation in solvent. The potential energy surface of
ψ and ω identified seven local-minima (S1–S7; Figure 3d) and all
of them were used for the host–guest complex study in solvent.
The global minimum energy structures are in Figure 4. The free
energy of the (S)-H:(R)-G was 0.6 ± 0.4 kJ/mol lower than that of
the (S)-H:(S)-G, leading to an enantioselectivity of 1.3 ± 0.2.
Overestimation of ∆∆G in the gas phase calculation was largely
resolved by including the solvent effect.
The free energy of the (S)-H:(R)-G was 9.2 ± 0.7 kJ/mol lower
than that of the (S)-H:(S)-G. This indicates that (R)-G would be
retained longer than (S)-G. The relation
This work was supported by KOSEF (No. 96-0501-08-01-3)
and CRI, the Ministry of Science and Technology, Korea. OSL
thanks the Ministry of Education for the BK 21 fellowship.
∆∆G = –RT ln α
(1)
leads to a very high enantioselectivity factor α = 40 ± 10. The elu-
tion order was correctly predicted but the enantioselectivity was
severely overestimated.
References
1
“Chiral Separations: Applications and Technology,” ed. by S. Ahuja,
American Chemical Society, Washington, D.C., (1997).
E. Thall, J. Chem. Educ., 73, 481 (1996).
W. H. Pirkle and T. C. Pochapsky, Chem. Rev., 89, 347 (1989).
S. Hwang, O.-S. Lee, and D. S. Chung, Chem. Lett., 2000, 1002.
M. H. Hyun, Y. J. Cho, J.-J. Ryoo, K. K. Jyung, and G. S. Heo, J.
Chromatogr. A, 696, 173 (1995).
Solution-phase calculations. The same approach used in the
gas-phase calculation was used in solvent. A continuum solvent
model was used with a dielectric constant (ε) of 10 (for
dichloromethane, ε = 8.93). Again, only one minimum was located
for the host (β = 125° and γ = 121°; Hs) and this was used for the
host–guest complex calculation in solvent. For the guest, the rela-
tive energy of the anti conformer with respect to the syn con-
former and the barrier between them decrease as the dielectric con-
stant increases (Figure 3b), probably because the solvent screens the
2
3
4
5
6
7
K. B. Lipkowitz, R. Larter, T. Darden, D. A. Demeter, and R.
Zegarra, J. Am. Chem. Soc., 110, 3446 (1988).
F. Mohamadi, N. G. J. Richards, W. C. Guida, R. Liskamp, M.
Lipton, C. Caufield, G. Chang, T. Hendrickson, and W. C. Still, J.
Comput. Chem., 11, 440 (1990).