35/37Cl NMR spectroscopy studies of organic systems are very rare, with only a few
neat liquids having been studied.1 The lack of chlorine NMR spectroscopy data may
be explained by the fact that 35Cl and 37Cl are quadrupolar (spin I=3/2) and low-frequency
isotopes. The quadrupole moments of the chlorine nuclei couple with the electric field
gradient (EFG) tensor at the nuclei; this phenomenon is known as the quadrupolar interaction
(QI). The quadrupolar coupling constant, C
Q, and the quadrupolar asymmetry parameter, η
Q, describe the magnitude and asymmetry of the QI. In solution, one of the consequences
of the QI is fast relaxation, which means that the 35/37Cl NMR signals for covalently
bound chlorines are very broad and are of low intensity.1 For these reasons, chemically
distinct chlorine sites are very difficult to distinguish with solution NMR spectroscopy.
However, in the solid state, nuclear spin relaxation is typically slower, thus enabling
higher quality 35Cl NMR spectra to be collected, at least in principle. Unfortunately,
the magnitude of the QI for covalently bound chlorines is very large because of the
substantial, anisotropic EFG at the Cl atom, owing mainly to its electronic configuration
when it forms a chlorine–carbon bond. Conventional wisdom is that such chlorine sites
cannot be studied in powders by solid-state NMR spectroscopy as the central transition
(CT; m
I=1/2↔−1/2) can span tens of megahertz in typical commercially available magnetic
fields. For this reason, only ionic chlorides2 and inorganic chlorides3 have been
studied, as the EFG at these chlorides is often an order of magnitude smaller than
at covalently bound chlorine atoms in organic molecules. The bonding environments
for these types of chlorine atoms are substantially different from the environments
in those chloride-containing molecules that have been studied previously.2, 3 A partial
35Cl NMR spectrum for hexachlorophene has been briefly mentioned in the literature.4
On the other hand, most of the interesting chlorine chemistry occurs when Cl is covalently
bound to a carbon atom, where the chlorine atom often acts as a leaving group. Chlorine
atoms are also important in many organic pharmaceuticals as well as in crystal design
applications where they can form halogen bonds.5 Recent studies show that covalently
bound chlorine is also important in biological chemistry where, for example, the tryptophan
7-halogenase was found to selectively chlorinate tryptophan moieties.6
Herein, we show that with the combination of an ultrahigh magnetic field (B
0=21.1 T) and the state-of-the-art WURST-QCPMG pulse sequence,7 it is possible to
acquire high-quality 35Cl NMR spectra of organic compounds that contain a covalently
bound chlorine atom in powder samples in a reasonable amount of time. We have acquired
35Cl NMR spectra of 5-chlorouracil (1); the pesticide 2-chloroacetamide (2); sodium
chloroacetate (3); α,α′-dichloro-o-xylene (4); chlorothiazide (5), a diuretic pharmaceutical
also known as diuril; 2,4′-dichloroacetophenone (6); and p-chlorophenylalanine (7),
a chlorinated amino acid, which is used as an inhibitor of tryptophan hydroxylase.
These were chosen as a representative subset of compounds wherein chlorine is bound
to sp2- or sp3-hybridized carbons. The molecular structures are shown in Figure 1
along with the NMR spectra. The 35/37Cl CT NMR spectra span on the order of 7 MHz
at 21.1 T, necessitating the variable-offset cumulative spectral (VOCS) acquisition
approach.8 Interpretation of the broad spectra of the CT requires line-shape simulations.
Such line shapes are typically simulated by using second-order perturbation theory,
where the QI is assumed to act as a perturbation to the Zeeman interaction. It is
known from nuclear quadrupole resonance (NQR) studies that the values of C
Q(35Cl) for covalently bound chlorine atoms are on the order of −70 MHz.9 As the Larmor
frequency (ν
0) for the nucleus 35Cl at 21.1 T (corresponding to a 900 MHz 1H ν
0) is only 88.2 MHz, the ratio of ν
0/ν
Q is around 2.5, where ν
Q represents the quadrupolar frequency. It is generally assumed that the high-field
approximation is only valid if this ratio is higher than 10; thus, second-order perturbation
theory is not expected to be valid to model the 35Cl NMR spectra shown herein, and
an exact description needs to be used.10 Presently, we have written a new fast and
graphical exact NMR simulation program, the technical details of which will be described
elsewhere.
Figure 1
35/37Cl WURST-QCPMG NMR spectra (bottom traces), exact simulations (top traces), and
chemical structures of compounds 1–7. An asterisk is used to indicate a trace NaCl
or NH4Cl impurity, whereas a cross marks a singularity from the satellite transition
of the other chlorine isotope. The sharp lines on the high-frequency ends of the spectra
are caused by radio interference.
The spectral simulations of the chlorine NMR spectroscopy data obtained with our QUEST
(“QUadrupolar Exact SofTware”) program are shown in Figure 1. To demonstrate the critical
importance of using exact Hamiltonian diagonalization for the interpretation of these
NMR spectra, we have compared our simulations with those obtained using second-order
perturbation theory. The high-frequency singularities are well-reproduced with the
use of perturbation theory, but the low-frequency part of the spectrum appears stretched,
which introduces an error in the chemical shift on the order of 600 ppm and an underestimation
of the quadrupolar coupling constant, C
Q, on the order of 700 kHz (Figure 2). These are of course non-trivial errors that
would severely alter the interpretation of the NMR spectrum in terms of the chemical
environment of the chlorine. Returning to Figure 1, it is interesting to note that
the satellite transition (ST; m
I= −3/2↔−1/2) of the 37Cl isotope overlaps with the observed CT of the 35Cl NMR spectrum.
A singularity from this ST often appears in the 35Cl NMR spectra; in Figure 1 the
singularities from the ST are marked with a cross. For compound 1, which yielded the
best signal-to-noise ratio per unit time of the samples studied, a 37Cl NMR spectrum
was also acquired. This spectrum permitted us to perform an additional verification
of the accuracy of the fits obtained with QUEST. As the ratios of the Larmor frequencies
and quadrupole moments for 35Cl and 37Cl are known, the two NMR spectra can be related
to one another. The 37Cl NMR spectrum of 1 is also shown in Figure 1. In this spectrum,
a third singularity is present, which originates from the ST of the 35Cl isotope.
As the STs are also strongly affected by third-order quadrupolar effects, this feature
could not have been reproduced with the use of second-order perturbation theory.
Figure 2
Low-frequency edge of the 35Cl NMR spectrum of 1, showing a comparison between exact
theory (blue) and second-order perturbation theory (red) simulations.
Four of the selected samples contain chlorine atoms covalently bound to sp3-hybridized
CH2 carbon atoms, and four samples contain chlorine atoms that are bound to sp2 carbon
atoms in aromatic rings. All chlorine atoms bound to CH2 carbon atoms have isotropic
chemical shift (δ
iso) values ranging from 150 to 200 ppm, whereas those bound to aromatic rings had
δ
iso values on the order of 300 to 350 ppm (Table 1). Moreover, as has been explained
using Townes–Dailey theory,11 the back donation of π-electron density from the chlorine
atom into the π system of the aromatic rings creates an EFG different from zero that
is perpendicular to the plane of the ring and that differs from the EFG in the plane
of the ring. This difference leads to a deviation of the EFG from axial symmetry;
this deviation is evidenced by the non-zero value of the quadrupolar asymmetry parameter
(η
Q, which ranges from 0 to 1 and takes a value of 0 in the case of axial symmetry).
In the compounds we have studied, the asymmetry parameters for the chlorine atoms
bound to CH2 carbon atoms remain nearly axially symmetric (η
Q=0.008–0.032), whereas those for the chlorine atoms bound to aromatic rings are significantly
larger (η
Q=0.073–0.139). Figure 3 shows a clear separation of the two types of compounds studied
herein on the basis of their δ
iso and η
Q values. It is evident that valuable chemical information that is not available from
standard 35Cl NQR experiments can be obtained from solid-state 35Cl NMR spectroscopy.
Figure 3
Scatter plot of the Cl chemical shifts and quadrupolar asymmetry parameters. The data
points for chlorine atoms bound to CH2 groups are shown in blue, whereas those for
chlorine atoms bound to aromatic rings are shown in red.
Table 1
35Cl EFG tensor parameters and isotropic chemical shifts for covalently bound chlorine
atoms.
Compound
C
Q/MHz[a,b]
η
Q
δ
iso [ppm]
1
−75.03±0.05
0.096±0.002
300±50
2
−68.30±0.05
0.031±0.003
150±50
3
−67.75±0.05
0.022±0.002
150±50
4
−66.43±0.08
0.008±0.003
200±50
5
−73.04±0.08
0.139±0.002
350±50
6 (CH2)
−70.70±0.08
0.032±0.003
150±100
6 (Ph)
−68.65±0.08
0.111±0.003
350±100
7 a
[c]
−69.0±0.2
0.093±0.003
350±100
7 b
[c]
−69.5±0.2
0.073±0.003
300±150
[a]
Where C
Q=eQV
33/h, η
Q=(V
11-V
22)/V
33. Here, e is the fundamental charge, Q is the nuclear electric quadrupole moment,
and V
11, V
22, and V
33 are the principal components of the electric field gradient tensor.
[b]
The absolute value of C
Q is obtained here, but it is known from theory and residual dipolar couplings that
C
Q for terminal Cl atoms is negative. Chemical shift anisotropy was neglected.
[c]
7 a and 7 b refer to the two crystallographically distinct sites in compound 7.
Interestingly, the breadth of the NMR line shapes enhances our ability to distinguish
chemically distinct sites relative to solution NMR, as the powder pattern singularities
are well separated. Compound 6 was chosen to test our ability to distinguish chemically
distinct chlorine sites, because this compound has a chlorine atom directly bound
to an aromatic ring (i.e., sp2) and another on a CH2 group (i.e., sp3). The singularities
for both sites are well-separated and these can be simulated and assigned on the basis
of their δ
iso and η
Q values. It also came as a surprise that two crystallographically distinct chlorine
sites were observed for compound 7, as two sets of horn singularities are present
in the spectrum. The crystal structure of this compound is not known, although we
can conclude, based on this NMR spectrum, that there are two non-equivalent molecules
in the asymmetric unit. This conclusion is supported by our NQR studies as well (see
below). This finding gives us an interesting perspective on the effect that crystal
packing has on the NMR parameters. For the two chlorine sites, the value of C
Q varies by only 500 kHz (<1 % difference) and the value of η
Q differed by 0.02: these small differences are nevertheless manifested unambiguously
in the 35Cl NMR spectrum of 7 despite its overall breadth.
It is interesting to compare this solid-state NMR spectroscopy method for probing
the chlorine chemical environment with those that are already available. To that end,
we have acquired 35Cl NQR spectra for all compounds (see Figure S1 in the Supporting
Information). Unfortunately, only the quadrupolar product
can be obtained by pure NQR methods with powder samples on nuclei with a spin of 3/2.
Thus, precise values of δ
iso, C
Q, and η
Q cannot be obtained with that method. Importantly, as the respective ranges of ν
Q values for different chemical species (i.e., Cl atom bound to sp2 vs. sp3 carbons)
effectively overlap, it is difficult, if not impossible, to obtain unambiguous chemical
information from pure 35Cl NQR of these powdered samples.
Liquid-state 35Cl NMR spectroscopy on the other hand can directly provide only chemical
shifts in favorable cases (e.g., neat liquids); however, site resolution is often
lost owing to the breadth of the resonances relative to the chemical shift range of
chlorine. With solid-state 35Cl NMR spectroscopy of powdered samples, we have shown
that it is possible to capture the best of both methods while also gaining novel information
about η
Q, which appears to be the most distinctive NMR probe of the chemical environment
of chlorine atoms.
Aside from acquiring complementary NQR spectra, we have also acquired 13C cross-polarization
(CP) magic-angle spinning (MAS) NMR spectra for these samples (see the Supporting
Information, Figures S2–S8). For five of the seven compounds we were able to resolve
the residual dipolar coupled doublet associated with the carbon atom bound to a chlorine
atom.12 The successful simulation of the doublets by using the values of C
Q from Table 1 provides further evidence for the validity of our exact Zeeman-quadrupolar
diagonalization approach.
To our surprise, 35Cl WURST-QCPMG NMR spectroscopy at 21.1 T was extremely sensitive.
A piece of an NMR spectrum could be acquired in a mere 8–20 min. In many cases, the
acquisition of the full 35Cl NMR spectrum took less time than was necessary for the
acquisition of the 13C CPMAS NMR spectrum at our standard field (9.4 T; see the Supporting
Information). The relatively high sensitivity of this method shows that it may be
feasible to look at larger systems where the chlorine concentration may be more dilute,
e.g., in halogen-bonded systems, chlorinated peptides, and other chlorinated materials.
We have lastly investigated the observed trends with the use of gas-phase (B3LYP/6-311++G**)13
DFT calculations of the NMR parameters as well as solid-state, periodic, GIPAW DFT
calculations14 (see Figure 4). Contrary to previous studies on other nuclei, the values
of η
Q are much better reproduced with DFT than are the values of C
Q. This difference is probably due to the fact that C
Q can vary by as much as 2 MHz depending on the temperature, whereas the η
Q value remains relatively constant, as it depends mainly on the symmetry along the
bond.15 The chemical shifts are also very well reproduced by DFT, and are in support
of the trend we observed (i.e., variation in the chlorine chemical shift may indicate
if the adjacent carbon atom is sp2- or sp3-hybridized). The agreement is significantly
greater for GIPAW DFT calculations, which shows that long-range crystal packing effects
play a non-negligible role in determining the chlorine magnetic shielding constants.
Figure 4
Correlation between calculated and experimental C
Q, η
Q, and δ
iso values. The red circles correspond to the results from gas-phase B3LYP calculations,
whereas the blue diamonds correspond to the results from the solid phase GIPAW DFT
calculations. Error bars for C
Q are within the size of the symbols.
In summary, we have shown that solid-state 35Cl NMR spectroscopy of purely covalently
bound organic chlorine atoms can be used as a powerful and sensitive tool for structural
investigations. The quadrupolar coupling constants are up to an order of magnitude
larger than those reported for inorganic chlorides and organometallic chlorides, some
of which exhibited partial covalent bonding character. The chemical shifts, and especially
the quadrupolar asymmetry parameters, are very sensitive to structure, thereby making
it possible to distinguish chemically different and even crystallographically different
chlorine sites. To properly interpret the data, a program that describes the quadrupolar
interaction exactly was necessary.