Frédéric Mentink-Vigier1,2, Ildefonso Marin-Montesinos1, Anil P Jagtap3, Thomas Halbritter3, Johan van Tol4, Sabine Hediger1, Daniel Lee1, Snorri Th Sigurdsson3, Gaël De Paëpe1. 1. Univ. Grenoble Alpes, CEA, CNRS, INAC-MEM , F-38000 Grenoble , France. 2. CIMAR/NMR National High Magnetic Field Laboratory , 1800 E. Paul Dirac Drive , Tallahassee , Florida 32310 , United States. 3. Department of Chemistry , University of Iceland, Science Institute , Dunhaga 3 , 107 Reykjavik , Iceland. 4. EMR National High Magnetic Field Laboratory , 1800 E. Paul Dirac Drive , Tallahassee , Florida 32310 , United States.
Abstract
We introduce a new family of highly efficient polarizing agents for dynamic nuclear polarization (DNP)-enhanced nuclear magnetic resonance (NMR) applications, composed of asymmetric bis-nitroxides, in which a piperidine-based radical and a pyrrolinoxyl or a proxyl radical are linked together. The design of the AsymPol family was guided by the use of advanced simulations that allow computation of the impact of the radical structure on DNP efficiency. These simulations suggested the use of a relatively short linker with the intention to generate a sizable intramolecular electron dipolar coupling/ J-exchange interaction, while avoiding parallel nitroxide orientations. The characteristics of AsymPol were further tuned, for instance with the addition of a conjugated carbon-carbon double bond in the 5-membered ring to improve the rigidity and provide a favorable relative orientation, the replacement of methyls by spirocyclohexanolyl groups to slow the electron spin relaxation, and the introduction of phosphate groups to yield highly water-soluble dopants. An in-depth experimental and theoretical study for two members of the family, AsymPol and AsymPolPOK, is presented here. We report substantial sensitivity gains at both 9.4 and 18.8 T. The robust efficiency of this new family is further demonstrated through high-resolution surface characterization of an important industrial catalyst using fast sample spinning at 18.8 T. This work highlights a new direction for polarizing agent design and the critical importance of computations in this process.
We introduce a new family of highly efficient polarizing agents for dynamic nuclear polarization (DNP)-enhanced nuclear magnetic resonance (NMR) applications, composed of asymmetric bis-nitroxides, in which a piperidine-based radical and a pyrrolinoxyl or a proxyl radical are linked together. The design of the AsymPol family was guided by the use of advanced simulations that allow computation of the impact of the radical structure on DNP efficiency. These simulations suggested the use of a relatively short linker with the intention to generate a sizable intramolecular electron dipolar coupling/ J-exchange interaction, while avoiding parallel nitroxide orientations. The characteristics of AsymPol were further tuned, for instance with the addition of a conjugated carbon-carbon double bond in the 5-membered ring to improve the rigidity and provide a favorable relative orientation, the replacement of methyls by spirocyclohexanolyl groups to slow the electron spin relaxation, and the introduction of phosphate groups to yield highly water-soluble dopants. An in-depth experimental and theoretical study for two members of the family, AsymPol and AsymPolPOK, is presented here. We report substantial sensitivity gains at both 9.4 and 18.8 T. The robust efficiency of this new family is further demonstrated through high-resolution surface characterization of an important industrial catalyst using fast sample spinning at 18.8 T. This work highlights a new direction for polarizing agent design and the critical importance of computations in this process.
High-field dynamic
nuclear polarization (DNP) is currently changing
significantly the scope of solid-state nuclear magnetic resonance
(NMR) spectroscopy with new applications ranging from biomolecular
systems to material science.[1−5] One of the key steps in this process is the development of tailored
molecules that can act as efficient polarizing agents. A major milestone
was reached with the introduction of nitroxide biradicals as polarizing
agents for magic angle spinning dynamic nuclear polarization (MAS-DNP).[6] Such biradicals show much improved performance
because they fulfill the requirement of having two strongly coupled
electron spins for MAS-DNP via the cross-effect mechanism (CE).[7−9] Considerable effort has been directed toward further improvement
of such biradical polarizing agents by adjusting their water solubility,[10−12] increasing their molecular weight,[13] using
rigid linkers,[14] and replacing methyl groups
that are adjacent to the nitroxides;[13,15,16] the water solubility allows for compatibility with
biomolecular studies, whereas the other chemical modifications were
performed to improve the properties of the electron spins (e.g., relaxation
times). As such, various state-of-the-art designer polarizing agents
for MAS-DNP experiments have been produced allowing high performance
even at low concentration.[10,11,13,15−19] This has enabled the acquisition of data that was
previously deemed unobtainable, opening up NMR spectroscopy to intricate
surface studies,[2] biomolecular reaction
intermediates,[20] and structural studies
of organic aggregates through 13C–13C
and 13C–15N connections at natural isotopic
abundance (1.1% and 0.1% for 13C and 15N, respectively).[21,22] In addition to the use of bis-nitroxides, recent efforts have been
devoted to the introduction of mixed biradicals for DNP applications,
such as trityl-nitroxide[18,23,24] and BDPA-nitroxide.[25,26]Nevertheless, the efficiency
of DNP is still far from optimal at
high magnetic field (>9 T), both in terms of DNP gain and hyperpolarization
buildup times. We estimate that the polarization gain (compared to
Boltzmann equilibrium) using CE DNP is around ∼10% of the theoretical
limit at 9.4 T and drops to only ∼5% at 18.8 T, 100 K, and
using a MAS frequency of 10 kHz.[27] Therefore,
there is still a critical need to provide more efficient polarizing
agents at high magnetic fields, even if many nitroxide biradical structures
have recently been tested.[15,16]In this work,
we demonstrate a new route toward this goal. We show
that advanced simulations can be used to help produce improved polarizing
agents. Thanks to this approach, we introduce a new family of asymmetric
biradicals, stable and straightforward to synthesize, that yield a
2-fold improvement in sensitivity, as compared to current high-performing
and ubiquitous standards. This is demonstrated at both 9.4 and 18.8
T and explained through advanced MAS-DNP simulations. The robust efficiency
of this new family is further demonstrated through high-resolution
surface characterization of an important industrial catalyst using
fast sample spinning at 18.8 T.
Results and Discussion
Computationally
Assisted Design of Polarizing Agents: The AsymPol
Family
The design of the family was driven by recent understanding
provided by MAS-DNP simulation tools,[8,9,27,28] as well as recent methodological
efforts toward improving accurate evaluation of MAS-DNP efficiency,[21,23,27,28] accounting for instance for depolarization effects.[27,29] This resulted in the choice of relatively short and electron rich
linkers (amide or ester-based) in order to generate a sizable intramolecular
electron dipolar coupling/J-exchange interaction
between either 5- or 6-membered ring nitroxides (see Figure S1). This approach allowed the increase of the electron–electron
dipolar interaction to 50 MHz or more, while also introducing a large J-exchange interaction (greater than 50 MHz according to
solution-state EPR). The design also avoided parallel nitroxide orientations
for all of the molecules that were synthesized in this family (see Figure S1). Previous 3-spin MAS-DNP simulations
have been used to show that parallel nitroxide orientations lead to
inefficient MAS-DNP and that current bis-nitroxides already have good
relative orientations of their nitroxides.[9,30]Among them we focused on AsymPol and AsymPolPOK (Scheme ), which
have relative nitroxide orientations that favor efficient MAS-DNP.[9,14,30] Both are composed of two asymmetric
bis-nitroxides in which piperidine-based radicals and a pyrrolinoxyl
radical are linked with a short tether. AsymPol contains
a TEMPO moiety (Scheme a) whereas AsymPolPOK (Scheme b) contains a spirocyclohexanolyl-derived
piperidine radical.[17] The latter has increased
molecular weight, which is known to slow the electron spins’
relaxation,[31−33] and phosphate groups to increase the water-solubility
while avoiding possible aggregation.
Scheme 1
(a) Synthesis of AsymPol (337 g mol–1); (b) Synthesis of AsymPolPOK (765 g mol–1)
(a) Synthesis of AsymPol (337 g mol–1); (b) Synthesis of AsymPolPOK (765 g mol–1)
i: DCC, HOBt,
Et3N, CH2Cl2, 83%.ii: 2, DCC, HOBt, Et3N, CH2Cl2, 58%;
iii: TBAF/THF, DOWEX/CaCO3, MeOH, 49%; iv: 5-(Benzylthio)-1H-tetrazole, bis(2-cyanoethyl)
diisopropylphosphoramidite, tBuOOH, CH3CN, 35%; v: Et3N, H2O/KOH,
H2O, 91%.Conjugation of 4-amino-TEMPO
(1) to 3-carboxy-pyrrolinoxylnitroxide (2) yielded AsymPol (Scheme a), for which an
X-ray crystal structure was obtained (see Supporting Information). Coupling of the spirocyclohexanolyl derivative 3(17,32) with 2, followed by removal
of the TBDMS protecting groups yielded biradical 4. Phosphitylation
and deprotection yielded AsymPolPOK (Scheme b), which showed excellent
solubility in water (640 mM) and glycerol/water (>1 M).
AsymPol
and AsymPolPOK Are Highly Efficient Polarizing Agents
for High and Very High Magnetic Fields
Recent developments
have highlighted the importance of determining the relative signal
intensity per unit square root of time obtained via DNP as a measure
of polarizing agent performance.[23,34−37]Figure compares
this “relative DNP sensitivity” for AsymPol and AsymPolPOK at 9.4 T with the ubiquitous and high-performing
bis-nitroxide, AMUPol.[11]Figure a plots the relative
DNP sensitivity, expressed as εB × (TB)−1/2 and Figure b plots εB, both as a function of MAS frequency, where εB represents
the polarization gain compared to Boltzmann equilibrium and TB stands for the polarization buildup time constant.
Notably, AsymPolPOK outperforms AMUPol by
more than a factor of 2 in terms of relative DNP sensitivity, which
corresponds to more than a factor of 4 in time-savings, enabling new
sensitivity-limited experiments. For instance, at 9.4 T and 10 kHz
MAS frequency, the relative DNP sensitivity is 27 and 68 s–1/2 for AMUPol and AsymPolPOK respectively
(see Table ). The
corresponding less-water-soluble version, AsymPol, gives
39 s–1/2 in d6-DMSO/D2O/H2O (8:1:1; v:v). The fact that the efficiency
is reduced for AsymPol as compared to AsymPolPOK was expected for two main reasons: first, AsymPol’s
molecular weight is lower and it contains more methyl groups, leading
to increased relaxation rates of the electron and local nuclear spins,[13,31−33] and second, the corresponding 1H T1n of an undoped sample (at ∼100 K and
9.4 T) is much shorter in d6-DMSO/D2O/H2O (8:1:1; v:v) than in d8-glycerol/D2O/H2O (6:3:1; v:v).[8,9,28] Even so, and very notably (considering
εon/off, vide infra), AsymPol is also more efficient than AMUPol at 9.4 T.
Figure 1
Experimental
performance of AsymPol (black) and AsymPolPOK (red), with a comparison to AMUPol (blue), as a function
of MAS frequency. The data were recorded using
10 mM biradical in d6-DMSO/D2O/H2O (8:1:1; v:v) (for AsymPol) or d8-glycerol/D2O/H2O (6:3:1;
v:v) (for AsymPolPOK and AMUPol) at 9.4
T and 105 K. All samples contain 20 mM 13C-urea. Note that AsymPolPOK and AMUPol data can thus be compared
directly since the same DNP matrix was used. The plots show (a) the
relative DNP sensitivity (expressed as εB ×
(TB)−1/2), (b) the proton
polarization gain compared to Boltzmann equilibrium, εB, (c) the ratio between the NMR signal obtained with and without
microwave irradiation, εon/off, and (d) the nuclear
depolarization, εdepo, expressed here as the ratio
between the obtained 1H NMR signal integral and that recorded
without sample spinning, both in the absence of microwave irradiation.
The latter (static case) represents the Boltzmann equilibrium polarization.
Lines are added as a guide. The larger errors for AsymPol reflect the very short TB (see Table ). A similar analysis
was conducted using 5 mM biradical concentration (see Figure S2). Interestingly, the relative DNP sensitivity
εB × (TB)−1/2 is similar for 5 and 10 mM biradical concentration for the three
biradicals studied here. Note, an εon/off ∼
210 has been shown to be obtained for 12 mM AMUPol with
2 M 13C-urea in d8-glycerol/D2O/H2O (6:3:1; v:v:v).[27] Here we chose to use 20 mM 13C-urea so as to be sure
to not perturb the glassy matrix or induce biradical–urea interactions.
Similarly large εon/off ∼ 150 and 200 were
obtained with 10 and 5 mM AMUPol, respectively, but using a much smaller
content of urea.
Table 1
Experimental
Parameters That Characterize
the DNP Performance of AsymPol and AsymPolPOK, with a Comparison to AMUPol
Buildup Time TB/s
εon/off
DNP sensitivity
εB·TB(MAS)–1/2
DNP
gain
εB(MAS)
Static
MAS
Static
MAS
9.4 T
AMUPola
27 s–1/2
43
16.3
2.5
28
151
AsymPolb
39 s–1/2
30
1.0
0.6
11
32
AsymPolPOKa
68 s–1/2
83
3.5
1.5
25
105
18.8 T
AMUPolc
5.5 s–1/2
14
26.5
6.5
5
21
AsymPolPOKc
10 s–1/2
24
–
5.8
–
27
10 mM biradical in d8-glycerol/D2O/H2O (6:3:1; v:v)
with 20 mM 13C-urea, 10 kHz MAS rate, at 105 K and 9.4
T.
Same as footnote a but 10 mM biradical in d6-DMSO/D2O/H2O (8:1:1; v:v).
Same as footnote a but at ∼130
K and 8 kHz MAS rate using a 3.2 mm rotor.
Experimental
performance of AsymPol (black) and AsymPolPOK (red), with a comparison to AMUPol (blue), as a function
of MAS frequency. The data were recorded using
10 mM biradical in d6-DMSO/D2O/H2O (8:1:1; v:v) (for AsymPol) or d8-glycerol/D2O/H2O (6:3:1;
v:v) (for AsymPolPOK and AMUPol) at 9.4
T and 105 K. All samples contain 20 mM 13C-urea. Note that AsymPolPOK and AMUPol data can thus be compared
directly since the same DNP matrix was used. The plots show (a) the
relative DNP sensitivity (expressed as εB ×
(TB)−1/2), (b) the proton
polarization gain compared to Boltzmann equilibrium, εB, (c) the ratio between the NMR signal obtained with and without
microwave irradiation, εon/off, and (d) the nuclear
depolarization, εdepo, expressed here as the ratio
between the obtained 1H NMR signal integral and that recorded
without sample spinning, both in the absence of microwave irradiation.
The latter (static case) represents the Boltzmann equilibrium polarization.
Lines are added as a guide. The larger errors for AsymPol reflect the very short TB (see Table ). A similar analysis
was conducted using 5 mM biradical concentration (see Figure S2). Interestingly, the relative DNP sensitivity
εB × (TB)−1/2 is similar for 5 and 10 mM biradical concentration for the three
biradicals studied here. Note, an εon/off ∼
210 has been shown to be obtained for 12 mM AMUPol with
2 M 13C-urea in d8-glycerol/D2O/H2O (6:3:1; v:v:v).[27] Here we chose to use 20 mM 13C-urea so as to be sure
to not perturb the glassy matrix or induce biradical–urea interactions.
Similarly large εon/off ∼ 150 and 200 were
obtained with 10 and 5 mM AMUPol, respectively, but using a much smaller
content of urea.10 mM biradical in d8-glycerol/D2O/H2O (6:3:1; v:v)
with 20 mM 13C-urea, 10 kHz MAS rate, at 105 K and 9.4
T.Same as footnote a but 10 mM biradical in d6-DMSO/D2O/H2O (8:1:1; v:v).Same as footnote a but at ∼130
K and 8 kHz MAS rate using a 3.2 mm rotor.Further insight can be given by looking at both the
DNP enhancement
factor εon/off (the ratio of the intensity of the
signals measured with and without microwave irradiation) and the depolarization
factor εdepo (that describes the effect of biradical
doping and sample spinning on the measured 1H polarization
in absence of microwave irradiation). Nuclear depolarization is observed
when the coupled electrons’ polarization difference is less
than the nuclear polarization. Under these conditions, the nucleus
(partially) transfers its polarization to the electrons, resulting
in a depolarized nuclear state compared to Boltzmann equilibrium (PB).[23,27] This situation generally
occurs for nitroxides and protons in the absence of microwave irradiation
in combination with MAS. Such an effect can be particularly severe
at very low temperature (first demonstrated at ∼20 K[29]) and/or when using polarizing agents with long
electron spin relaxation times, T1e, (such
as AMUPol) and/or in the presence of inefficient electron–electron
polarization exchange.[27,28] Recent work has highlighted the
drawbacks in using only εon/off to evaluate polarizing
agent efficiency;[29] instead, one should
rely on the product of εon/off × εdepo, which gives εB, as well as TB.[34−37]Figure d,
which
plots εdepo as a function of MAS frequency for the
three biradicals, illustrates that nuclear depolarization can be substantial,
as in the case of AMUPol. For the experimental conditions
used for Figure ,
i.e., 9.4 T, 105 K, and 10 mM biradical concentration, AMUPol yields nuclear depolarization up to 70% (i.e., εdepo = 0.3). The situation is very different in the case of AsymPol and AsymPolPOK, both of which show limited depolarization
effects. The rationale behind this observation was predicted by simulations
(vide infra) and notably relies on the presence of
the large J-exchange interaction between the electron
spins of the bisnitroxides in the AsymPol family. It
is clear when the traditional DNP enhancement factor εon/off (Figure c) is scrutinized
against the polarization gain compared to Boltzmann equilibrium, (εB, Figure b),
that one cannot use εon/off alone to judge the biradical
efficiency due to the bias introduced through the large depolarization
observed for AMUPol. Indeed, AMUPol yields
the highest εon/off while actually being less efficient
in terms of absolute polarization gain (εB) compared
to AsymPolPOK (Figure b).Additional experiments were also conducted
at 18.8 T for AsymPolPOK and AMUPol. A comparison
of the results
obtained at 9.4 and 18.8 T (Table ) shows that AsymPolPOK is also substantially
more efficient than AMUPol at 18.8 T. For MAS frequencies
around 8–10 kHz, the returned sensitivity is about 2 times
higher using AsymPolPOK than AMUPol in glycerol/D2O/H2O (6:3:1; v:v). Another important feature is
that these new polarizing agents, AsymPol and AsymPolPOK, have much shorter polarization buildup times than AMUPol, which is essential to maximize the overall sensitivity. More specifically,
using the same biradical concentration in the same DNP matrix, i.e., d8-glycerol/D2O/H2O (6:3:1;
v:v), the buildup time is about 40% shorter for AsymPolPOK than for AMUPol. This is directly related to the presence
of large electron dipolar coupling/J-exchange interactions,
as predicted by simulations. Because this work utilizes multiple 3-spin
systems, the effect of nuclear-spin diffusion has been neglected and
the hyperpolarization build-up rates are then only relative between
biradicals and fully represent the DNP efficiency. For a further description
of the effect of nuclear spin diffusion on CE MAS-DNP, the reader
is referred to reference (28).It is important to stress that a shorter CE DNP
buildup time does
not necessarily correspond to shorter nuclear coherence lifetimes
(or dephasing times). Indeed, the refocusable transverse decay time, 13CT2′, of the 13C-urea resonance in glycerol/water has been shown to be impacted
by the addition of paramagnetic polarizing agents,[36] but at 105 K and 9.4 T similar decay constants (30 and
23 ms for 10 mM AsymPolPOK and AMUPol, respectively)
were obtained. A shorter 13CT2′ would be deleterious for recording multidimensional NMR
experiments because the returned sensitivity is also highly dependent
on nuclear coherence lifetimes.Another very useful aspect of
these new biradicals is their short TB under static conditions, TB(static).
It can be seen from Table that TB(static) is longer than TB for spinning samples
(TB(MAS)) and notably that TB(static) is relatively long for AMUPol.
Therefore, these new biradicals are also extremely pertinent for static
DNP studies.[38,39]
Efficient CE MAS-DNP at
18.8 T and fast MAS
The impressive
results obtained with AsymPolPOK at 18.8 T are also related
to its robustness with respect to very high spinning frequencies.
This is illustrated in Figure a that shows the evolution of the 1H signal of
an AsymPolPOK-doped sample measured under fast MAS conditions
using a 1.3 mm diameter sample holder at 18.8 T, without microwave
irradiation. From 15 to 40 kHz, there is no measurable loss in signal
intensity. This is very different from what has been recently reported
for AMUPol in the same regime,[40] where a 50% decrease in 1H signal was measured going
from 5 to 40 kHz MAS frequency at 18.8 T. These results demonstrate
the large nuclear depolarization with AMUPol and that
the depolarization effect seems absent with AsymPolPOK at 18.8 T. Consequently, the Boltzmann enhancement factor (1HεB), plotted in Figure b as a function of MAS frequency, demonstrates
the good efficiency of AsymPolPOK for 18.8 T measurements
and the robustness of this efficiency to high MAS frequencies. These
observations are again attributable to the presence of a large J-exchange interaction. The situation is significantly different
for AMUPol, as seen recently under similar experimental
conditions,[40] where the overall signal
intensity substantially decreases by going from 10 to 40 kHz spinning
frequencies.
Figure 2
Experimental evolution of the 1H signal intensity
without
microwave irradiation (a) and evolution of the polarization gain 1HεB (b) for a 5 mM AsymPolPOK, 2 M 13C-urea, d8-glycerol/D2O/H2O (6:3:1; v:v) solution using a 1.3 mm diameter
sample holder at 18.8 T and a sample temperature of ∼125 K.
Experimental evolution of the 1H signal intensity
without
microwave irradiation (a) and evolution of the polarization gain 1HεB (b) for a 5 mM AsymPolPOK, 2 M 13C-urea, d8-glycerol/D2O/H2O (6:3:1; v:v) solution using a 1.3 mm diameter
sample holder at 18.8 T and a sample temperature of ∼125 K.
High-Field EPR and MAS-DNP
Simulations
To further understand
the observed DNP properties of AsymPolPOK, we analyzed
its electron paramagnetic resonance (EPR) spectrum, in the solution
state at X-band and as a frozen solution at high-field/frequency (∼8.5
T/240 GHz;[41,42]Figure a). The solution-state EPR spectrum of AsymPolPOK in water revealed an exchange interaction of 80.5
MHz (see Figure S3). The AsymPol crystal structure (see Figure S4 and Table S1) was used as a starting geometry to
conduct the EasySpin[43] simulated fit of
the solid-state EPR spectrum. Even if the returned fit is not fully
satisfactory, we tentatively estimate the mean dipolar and J-exchange couplings between the two electron spins of AsymPolPOK to be in the order of 56 and −70 ±
10 MHz, respectively. Note that in this work, we only tried to fit
the g-values and a single J-exchange
interaction. However, it is clear from the EPR spectrum that higher
exchange interactions are also present, maybe due to different conformations
and/or microenvironments. Further improvement would require a multifrequency
EPR analysis,[44] as well as to account for
the fact that we have a distribution of dipolar/J-exchange couplings or even g-relative orientations.
This is beyond the scope of this publication. Finally, we checked
with MAS-DNP simulations[28] that the DNP
field profile, obtained using the extracted values from this EPR fit,
was qualitatively consistent with the experimental data (Figure S6). Once again, a better description
of the dipolar and J-exchange couplings distribution
would certainly allow improving on the agreement between experiment
and simulation. For completeness, the effect of the J-exchange couplings on the field sweep profile is reported in Figure S9.
Figure 3
(a) High-field EPR spectrum (∼8.5
T/240 GHz) of 10 mM AsymPolPOK and 20 mM 13C Urea in d8-glycerol/D2O/H2O (6:3:1; v:v)
at 110 K (black) and best fit with a single biradical conformation
(red). MAS-DNP simulations of εB (black circles)
and εDepo (blue squares) as a function of the exchange
interaction intensity at (b) 9.4 T/400 MHz (c) 18.8 T/800 MHz. The
filled symbols were obtained assuming a nuclear relaxation time T1, = 4 s and the open symbols T1, = 0.1 s. Lines are added
as a guide. Further details of the simulations are provided in the Supporting Information.
(a) High-field EPR spectrum (∼8.5
T/240 GHz) of 10 mM AsymPolPOK and 20 mM 13C Urea in d8-glycerol/D2O/H2O (6:3:1; v:v)
at 110 K (black) and best fit with a single biradical conformation
(red). MAS-DNP simulations of εB (black circles)
and εDepo (blue squares) as a function of the exchange
interaction intensity at (b) 9.4 T/400 MHz (c) 18.8 T/800 MHz. The
filled symbols were obtained assuming a nuclear relaxation time T1, = 4 s and the open symbols T1, = 0.1 s. Lines are added
as a guide. Further details of the simulations are provided in the Supporting Information.The theoretical analysis of AsymPolPOK’s
performance
relies on two essential points revealed by previous theoretical work.[9,28] For each biradical, the microwave irradiation generates a polarization
difference (ΔPe) between each nitroxide
of the biradical,[9] large dipolar/exchange
interactions help to maintain it,[9,28] and this ΔPe is transferred to the surrounding nuclei via
the CE rotor-events, which are themselves proportional to the sum
of the dipolar and J-exchange interaction (D+2J).[7−9,45] Accordingly, a fast equilibration between ΔPe and the nuclear polarization (Pn) occurs when the dipolar and J-exchange
interactions are large, leading to short buildup time TB.[9,28] The equilibration Pn ≤ ΔPe is then
obtained at steady state.[9]Using
a simple three-spin theoretical model that takes the structure
of AsymPolPOK into account, the effect of the exchange
interactions on εB and εDepo were
probed within two limits of the nuclear relaxation time. The results
of the calculations, performed for 9.4 and 18.8 T, are represented
in Figure b,c, respectively.
At both magnetic fields, εB is maximum for a |Ja,b| of approximately 50 MHz for the limit of
a slowly relaxing nucleus (T1,n = 4 s),
where the condition Pn ≈ ΔPe is easily met. Weaker exchange interactions
lead to a reduced ΔPe, and consequently
to a lower εB, whereas very strong exchange interactions
modify the DNP field profile drastically (see Figure S9) leading to a decrease in εB and
eventually the CE ceases to be active when the exchange interaction
exceeds half the nuclear Larmor frequency.[18,23,46]For the fast limit of nuclear relaxation,
(T1,n = 0.1 s), weaker CE rotor-events
struggle to compensate
the effect of the fast nuclear relaxation, leading to Pn < ΔPe. To achieve
higher εB, stronger exchange interactions are then
needed for short T1,n, particularly at
higher magnetic fields as the efficiency of the CE rotor-events depends
on the Larmor frequency and EPR line width (cf. Figure b,c).The depolarization mechanism
relies on the same principles. If
the electron spins present a ΔPe it can be reduced if the dipolar/exchange interaction is weak under
MAS as the electron spins exchange their polarization inefficiently
(at dipolar/J rotor-events).[23,27] For the limit of slow nuclear relaxation, the depolarization is
higher than for the fast limit. With AsymPolPOK’s
structure, a larger ΔPe is maintained
as the exchange interaction increases and the depolarization decreases
accordingly for the limit of a slowly relaxing nucleus. This observation
remains true for the fast relaxing nucleus but, as for the case of
hyperpolarization, relatively stronger exchange interactions are required
in this limit.Overall, the simulations confirm that AsymPolPOK’s
exchange interaction of −70 ± 10 MHz, is responsible for
its very good efficiency at both 9.4 and 18.8 T. It is large enough
to allow high polarization gain even for fast relaxing protons at
both fields. It should be stressed that the three-spin simulations
are used to only highlight trends, and not absolute values. The simulations
show that depolarization should be expected from AsymPolPOK, but at the same time reveal that its larger exchange interaction
reduces this effect. Simulations involving many biradicals and many
nuclei, which allow for more accurate absolute values, cannot be used
here due to the large exchange interaction coupling.[28]
Application at 18.8 T
MAS-DNP has
been shown to be
particularly pertinent for studying the surface of functional materials[2,47] including aluminas.[48,49] Indeed, under certain conditions
({1H-}27Al CP) MAS-DNP can permit highly sensitive
studies of nuclei in only the first surface layer of aluminas, enabling
primostrato NMR.[50] For quadrupolar nuclei,
such as 27Al, high magnetic fields can be extremely beneficial
in terms of spectral resolution since there is a second order spectral
broadening induced by the quadrupolar coupling that is inversely proportional
to magnetic field strength. As such, the highest available fields
for MAS-DNP have begun to be employed for quadrupolar nuclei, such
as 17O.[51,52] However, the CE efficiency decreases
with the magnetic field strength, so using polarizing agents that
give the most NMR sensitivity is vital. As an example of the very
good efficacy of AsymPolPOK as a polarizing agent for
MAS-DNP, a DNP-enhanced primostrato 27Al MQMAS experiment[50] was performed on nanoparticulate γ-alumina
(see Figure ), an
important industrial catalyst and catalyst–support. Here, at
one of the highest magnetic fields currently available for MAS-DNP,
18.8 T, and at a MAS frequency of 24 kHz (chosen as an optimum compromise
for cross-polarization and MQMAS efficiencies), this high-resolution,
surface selective experiment could be recorded overnight (in 14 h).
Previous MAS-DNP studies at 9.4 T have shown that there is an important
penta-coordinated Al site and that it resides only in the first surface
layer.[50] However, the NMR signal and the
resolution of this penta-coordinated site were poor. Here, thanks
to the high magnetic fields and the sensitivity provided through MAS-DNP
with AsymPolPOK, it is extremely clear that this surface
site exists, as shown in Figure . This opens many perspectives for all types of materials,
for example containing quadrupolar nuclei or many overlapping resonances,
where the highest possible magnetic fields and sensitivity are required.
Figure 4
DNP-enhanced
{1H-}27Al CP MQMAS NMR spectrum
of γ-alumina, recorded at 18.8 T, a sample temperature of ∼125
K, and with a MAS frequency of 24 kHz. Above, a {1H-}27Al CP NMR spectrum of γ-alumina recorded under the
same conditions as a comparison. The γ-alumina was impregnated
with a 5 mM AsymPolPOK, 2 M 13C-urea, d8-glycerol/D2O/H2O (6:3:1;
v:v) solution. εon/off = 38 (see Figure S17).
DNP-enhanced
{1H-}27Al CP MQMAS NMR spectrum
of γ-alumina, recorded at 18.8 T, a sample temperature of ∼125
K, and with a MAS frequency of 24 kHz. Above, a {1H-}27Al CP NMR spectrum of γ-alumina recorded under the
same conditions as a comparison. The γ-alumina was impregnated
with a 5 mM AsymPolPOK, 2 M 13C-urea, d8-glycerol/D2O/H2O (6:3:1;
v:v) solution. εon/off = 38 (see Figure S17).
Conclusions
We have introduced a new family of readily
prepared biradical polarizing
agents for DNP. This family, based on a simple amide/ester bond between
piperidinyl and pyrrolinoxyl radicals, exhibits very advantageous
MAS-DNP properties, including fast hyperpolarization build up times
and little or no nuclear depolarization at very high field and fast
MAS frequencies. These properties notably arise from the large dipolar-
and J-exchange interactions between the two electron
spins. Moreover, the highly water-soluble AsymPolPOK,
a phosphate-derivatized biradical prepared for applications in structural
biology, produces twice the NMR sensitivity of AMUPol, even at 18.8 T and with MAS frequencies of up to 40 kHz. In addition,
the AsymPol family is stable and relatively straightforward to synthesize
and purify, as compared to Trityl-based biradicals, such as TEMTriPol-1, that have also shown good potential for high-field
MAS-DNP.[23]The power of AsymPolPOK as a polarizing agent was
demonstrated in a DNP regime that is still far from optimal, namely
very high magnetic field and fast MAS, by the acquisition of high
resolution and surface-selective NMR spectra of catalytic γ-alumina.
Under fast MAS and at 18.8 T, the γ-alumina surface could be
easily detected through CP, with AsymPolPOK providing a DNP enhancement
factor of ∼38. This improvement in sensitivity thus allowed
a high-resolution surface-selective 27Al MQMAS experiment
at 18.8 T on a catalyst material.
Authors: Anne Lesage; Moreno Lelli; David Gajan; Marc A Caporini; Veronika Vitzthum; Pascal Miéville; Johan Alauzun; Arthur Roussey; Chloé Thieuleux; Ahmad Mehdi; Geoffrey Bodenhausen; Christophe Copéret; Lyndon Emsley Journal: J Am Chem Soc Date: 2010-11-10 Impact factor: 15.419
Authors: Qing Zhe Ni; Eugenio Daviso; Thach V Can; Evgeny Markhasin; Sudheer K Jawla; Timothy M Swager; Richard J Temkin; Judith Herzfeld; Robert G Griffin Journal: Acc Chem Res Date: 2013-04-18 Impact factor: 22.384
Authors: Rania Harrabi; Thomas Halbritter; Fabien Aussenac; Ons Dakhlaoui; Johan van Tol; Krishna K Damodaran; Daniel Lee; Subhradip Paul; Sabine Hediger; Frederic Mentink-Vigier; Snorri Th Sigurdsson; Gaël De Paëpe Journal: Angew Chem Int Ed Engl Date: 2022-02-01 Impact factor: 15.336