C O M M U N I C A T I O N S
model. The retention factor (k) of a solute in the present system is
represented by
k ) kads + kpar
(1)
where the contributions to k from adsorption on the ice stationary
surface and from partitioning into the WPI are given by kads and
kpar, respectively. When ꢀ-CD is incorporated into the ice stationary
phase, complexation of ꢀ-CD with a solute (S) occurs in the WPI;
this enhances kpar. Substitution of the volume of the WPI (VWPI),
the volume of the mobile phase in the column (Vmob), and the
concentrations of complexed and uncomplexed solute in the two
phases into eq 1 yields
Figure 2. Relation between the corrected ∆k for the enantiomers of
hexobarbital and the concentration of ꢀ-CD in the WPI in KCl-doped (O)
and NaCl-doped (4) ice stationary phases. The solid curve was obtained
by curve fitting and is given by y ) (1.97 × 103)[CD]WPI + (1.56 ×
105)[CD]2WPI. The dashed curve was drawn using the values determined for
bulk complexation.
VWPI [S]WPI + [S-CD]WPI + [S-(CD)2]WPI
k ) kads
+
+
Vmob
VWPI
[S]mob
kads
(1 + K1[CD]WPI + ꢀ2[CD]W2 PI
)
)
Kh/wVmob
(2)
curve, the chiral ice chromatographic retention data imply that ∆K1
) 1.97 × 103 M-1 and ∆ꢀ2 ) 1.56 × 105 M-2 for the enantiomers
of hexobarbital in the WPI. In contrast, as shown in Figure S7,
solvent extraction experiments at -5 °C gave ∆K1 ≈ 500 M-1 and
∆ꢀ2 ) 1.26 × 105 M-2. These values give the broken curve depicted
in Figure 2. An enhancement of ꢀ-CD chiral recognition in the
WPI relative to that in bulk solutions is suggested. Another point
that should be noted here is the solubility of ꢀ-CD in the WPI.
The solubility of ꢀ-CD in water is reported to be ∼16 mM but is
enhanced up to ∼70 mM in the presence of an electrolyte.12 We
found that its solubility in the hexane-saturated aqueous KCl
solution (1.1-2.8 M) was almost constant at 2-2.5 mM over the
temperature range -10 to 10 °C. If the concentration of ꢀ-CD in
the WPI were constant irrespective of the extent of its growth,
Kh/w∆k should be proportional to VWPI according to eq 3. However,
the ∆k-VWPI plot was entirely scattered and did not suggest any
trends. This strongly implies that the solubility of ꢀ-CD in the WPI
is enhanced in comparison with that in bulk solutions. Although
we attempted chiral separation using silica gel impregnated with
an aqueous ꢀ-CD solution, no separation was confirmed. This again
indicates the specific physicochemical properties of the WPI, which
plays an essential role in successful chiral separation in the present
scheme. The present results indicate that the WPI well dissolves
ꢀ-CD or excludes hexane and facilitates formation of the inclusion
complex of ꢀ-CD. If the WPI has properties similar to those of
high-density water, which is under debate in relation to the
polyamorphism of water, the present findings may be interpreted.13
Hence, the present method has several advantages. First, the
separation performance can be adjusted by (1) changing VWPI
through changing temperature and/or the salt dopant concentration
and (2) varying Kh/w through changing the organic solvent or
modifier. Second, the specific medium property of the WPI can
result in enhanced chiral separation; the function of the WPI and
its molecular origin should be revealed in more detail. Although
separation using ꢀ-CD has been discussed here, any water-soluble
chiral selector can be incorporated into the ice stationary phase in
a similar fashion. We believe that ice chromatography opens a new
era for both ice chemistry and chiral separation.
where K1 (M-1) and ꢀ2 (M-2) are the association constants for 1:1
(S-CD) and 1:2 [S-(CD)2] complexes between the solute and
ꢀ-CD, respectively, and Kh/w ) [S]mob/[S]WPI is the partition
coefficient of uncomplexed solute between the mobile phase and
the WPI phase.
The adsorption of a solute on the doped-ice stationary phase is
the result of several processes, namely, adsorption on the solid-ice
surface, adsorption on the surface of the WPI, and the interaction
with ꢀ-CD at these interfaces. It should be noted that these
mechanisms are not enantioselective; the first two have no enan-
tioselective origins, and the last one is also non-enantioselective
because the formation of inclusion complexes of ꢀ-CD is very weak
in the presence of a nonpolar solvent such as hexane, as discussed
above.10 The contribution from these processes to kads should vary
with experimental conditions such as the temperature and the
concentrations of the salt and ꢀ-CD. The quantitative discussion
of kads is not straightforward. However, since the enantioselectivity
in chiral ice chromatography appears only in the kpar term, we can
discuss the enantioselectivity of the ice stationary phase on the basis
of the difference between the enantiomer k values, which allows
the cancellation of the contribution from the non-enantioselective
kads term:
VWPI
∆k ) k2 - k1 )
(∆K1[CD]WPI + ∆ꢀ2[CD]W2 PI
)
Kh/wVmob
(3)
where ∆K1 and ∆ꢀ2 are the differences in the complexation
constants for the two enantiomers. Although the temperature
dependence of Kh/w is negligibly small, its dependence on the salt
concentration is so large that this effect must be taken into account
to interpret the separation data (Figure S6). Thus, we can correct
∆k in terms of VWPI, Vmob, and Kh/w. VWPI can be calculated from
the phase diagram, and Vmob can be determined from the void
volume of the column; Kh/w can be obtained from Figure S6 using
the salt concentration in the WPI at the working temperature.
Obviously, the corrected ∆k values are described by a quadratic
equation in [CD]WPI
.
Acknowledgment. This work was supported by a Grant-in-Aid
for Scientific Research from the Japan Society for the Promotion
of Science.
Figure 2 shows the relation between the corrected ∆k values
and [CD]WPI, which was calculated by assuming that ꢀ-CD added
in the stationary phase is completely dissolved in the WPI. Although
there is some scatter in the data, all of the corrected ∆k values
obtained with NaCl- and KCl-incorporated ice stationary phases
fall on the solid quadratic curve. From the coefficients of the fitting
Supporting Information Available: Experimental details and results
of chromatographic experiments. This material is available free of
9
13136 J. AM. CHEM. SOC. VOL. 132, NO. 38, 2010