NMR of cyclodextrin complexes 253
sw
C
D 180 ppm, and 256 t
1
increments. Analysis of the
Rocuronium Bromide complexes with ˇ-cyclodextrin and
ꢀ-cyclodextrin (1 : 2 and 1 : 3)
NMR binding data was performed within the environment
of an Excel spreadsheet. The spreadsheet was configured
to solve the quadratic equation that relates specific species
concentrations to the known total concentrations present and
For the determination of stoichiometry and binding constants
we simply need to identify protons that are sensitive to
complex formation. In the present case this was generally
the cyclodextrin H-3 proton and the steroid axial methyl
groups (18-CH and 19-CH ) or the steroid H-9˛ proton. In
2
5
the association constant for formation of a 1 : 1 complex.
The embedded solver tool was used to minimize the
difference between the calculated curve and the experimental
data. This spreadsheet is available from the authors. The
following discussion contains frequent references to steroid
and cyclodextrin protons. To clarify any confusion about
which protons are being discussed, cyclodextrin protons are
always referred to as H-3, H-2, etc., with no subscripts,
whereas notations for steroid protons bear an additional ˛
or ˇ identification.
3
3
this section we are only concerned with markers of complex
formation, and not with structure. A good marker will be
a peak that is easy to measure, for instance a sharp singlet,
and/or is a peak that shifts significantly upon complexation.
1
13
The H and C NMR spectra of 1 have been fully
2
6
assigned. The stoichiometry of the complexes 1 : 2 and
1 : 3 were determined to be 1 : 1 by Job’s method (data
2
7
not shown). Results of binding assays are summarized
in Table 1.
Binding curves observed from the system Rocuronium
Bromide and ˇ-cyclodextrin at room temperature are shown
RESULTS AND DISCUSSION
in Fig. 1. The change in chemical shift of the 19-CH
3
peak of
Stoichiometry and binding constants
1
as a function of the concentration of 2 is shown in Fig. 1(A).
Quantitative descriptors of binding are stoichiometry and
binding constants. NMR is routinely used to measure these
parameters for host–guest complexes. The terms of reference
for such studies are either fast exchange or slow exchange. In
the slow exchange regime, all components of a mixture
3
The 19-CH group is a good marker because it is a sharp
singlet that can be seen in a simple 1D spectrum and it shifts
significantly (>0.2 ppm downfield) in the presence of 2. In
the form of binding curve shown here, the concentration
of 1 is kept constant and the concentration of 2 is varied.
The solution composition is expressed on the x-axis as
a mole fraction of 2, i.e. [2]/([1] C [2]). Throughout this
range the spectra appeared as a two-component mixture of
Rocuronium Bromide and cyclodextrin. This confirms that
the complexed and non-complexed components are in fast
exchange on the NMR time scale.
(steroid, cyclodextrin and steroid–cyclodextrin complex)
give rise to their own discrete signals in the NMR spectrum.
If spectral dispersion is sufficient for these discrete signals to
be resolved, analysis of the data is simple. The spectrum is
assigned and information about stoichiometry and binding
comes directly from integrating the spectrum.
In the fast exchange regime, the observed nuclear spin
appears as though it were in two sites at the same time, and
the observed NMR frequency is the mole fraction weighted
average between the frequencies in the native form and the
complexed form of the observed molecule. For example, if
the observed proton is located on the host (cyclodextrin)
molecule.
The solid line is the least squares fitted curve for a
ꢀ
1
1 : 1 complex with Ka D 3500 M . Figure 1(B) shows the
experimental data and the corresponding calculated curve
from the proton (H-5) on the cyclodextrin. The chemical shift
range experienced by this proton is considerably less than
that seen on the steroid axial methyl group, but it is enough of
ꢀ
1
a shift to calculate K reliably. The value obtained (2600 M
a
)
is in satisfactory agreement with the value obtained from
observations on the steroid, and averaging all of the available
υobs D X
H
υ
H
C XHG
υ
HG
ꢁ1ꢂ
where υobs, υ
observed nucleus in the experiment, in the host molecule
and in the complex respectively, and X and XHG are the
H
and υHG are the chemical shifts of the
Table 1. Binding constants of Rocuronium Bromide with
cyclodextrinsa
H
mole fractions of host molecule distributed between the
two sites. In this case the analysis is more complicated
than the slow exchange case because the chemical shift
in the complex cannot be observed. This problem may be
overcome by obtaining information on chemical shift over a
range of different solution compositions—an NMR titration.
Once the stoichiometry of the complex is established, a
binding equation can be written, which can be combined
with Eqn (1) to produce non-linear expressions relating
Observed
protonb
ˇ-Cyclodextrin
ꢀ-Cyclodextrin
Org 25969
2
3
4
H-9˛
20 400
>60 000
1
9-CH3
3 500
3 900
2 600
H-3
H-5
17 000
17 800
a
From curve fitting the NMR titration data. The υ , υ or
H
G
υHG parameters that accompany this fitting are as follows.
the observed chemical shift to K
a
and υHG. The values
1 : 2, 19-CH3 υG D 0.87, υ
D 1.10 ppm; H-3 υ D 3.94,
HG
H
K
a
and υHG are determined by minimizing the difference
υHG D 3.89 ppm. 1 : 3, H-3 υ D 3.91, υ
D 3.81 ppm; H-5
H
HG
between the experimentally observed data and the calculated
curve.
υH D 3.83, υ
D 3.64 ppm; H-9˛ υ D 0.78, υHG D 0.63 ppm.
HG
G
1 : 4, H-9˛ υ D 0.81, υ D 0.68 ppm.
G
HG
b
In this study, fast exchange was observed in complexes
H-9˛ and 19-CH3 are located on the steroid, and H-3 and H-5
are the ‘internal’ protons in cyclodextrins.
1
: 2 and 1 : 3, and slow exchange was observed in 1 : 4.
Copyright 2002 John Wiley & Sons, Ltd.
Magn. Reson. Chem. 2002; 40: 251–260