Magic angle spinning (MAS) dynamic nuclear polarization (DNP) is widely used to increase nuclear magnetic resonance (NMR) signal intensity. Frequency-chirped microwaves yield superior control of electron spins and are expected to play a central role in the development of DNP MAS experiments. Time domain electron control with MAS has considerable promise to improve DNP performance at higher fields and temperatures. We have recently demonstrated that pulsed electron decoupling using frequency-chirped microwaves improves MAS DNP experiments by partially attenuating detrimental hyperfine interactions. The continued development of pulsed electron decoupling will enable a new suite of MAS DNP experiments that transfer polarization directly to observed spins. Time domain DNP transfers to nuclear spins in conjunction with pulsed electron decoupling is described as a viable avenue toward DNP-enhanced, high-resolution NMR spectroscopy over a range of temperatures from <6 to 320 K.
Magic angle spinning (MAS) dynamic nuclear polarization (DNP) is widely used to increase nuclear magnetic resonance (NMR) signal intensity. Frequency-chirped microwaves yield superior control of electron spins and are expected to play a central role in the development of DNP MAS experiments. Time domain electron control with MAS has considerable promise to improve DNP performance at higher fields and temperatures. We have recently demonstrated that pulsed electron decoupling using frequency-chirped microwaves improves MAS DNP experiments by partially attenuating detrimental hyperfine interactions. The continued development of pulsed electron decoupling will enable a new suite of MAS DNP experiments that transfer polarization directly to observed spins. Time domain DNP transfers to nuclear spins in conjunction with pulsed electron decoupling is described as a viable avenue toward DNP-enhanced, high-resolution NMR spectroscopy over a range of temperatures from <6 to 320 K.
Nuclear magnetic
resonance (NMR)
spectroscopy is a powerful tool that can provide details about the
molecular structure and dynamics of myriad systems.[1−5] NMR can routinely yield multiple distinguishable
signals with site-specific resolution.[6] Not only does the chemical shift provide information about the electronic
environment, but spatial and through-bond magnetic interactions provide
distance and connectivity information, which determine constraints
on the molecular structure.[7−12] Solid-state NMR (ssNMR) is often employed in conjunction with magic
angle spinning (MAS) to extend coherence lifetimes and improve spectral
resolution.[13−16]While NMR has advantages over other forms of spectroscopy,
it suffers
from an inherent lack of sensitivity due to the small Boltzmann polarization
of nuclear spins, given by eq where h is Planck’s
constant, kB is Boltzmann’s constant,
ν0 is the Larmor frequency of the spin, and T is the temperature in Kelvin.[17−19] The small spin
polarization results in a weak electromotive force induced in the
probe receive coil and a correspondingly poor signal-to-noise ratio
(S/N) in the NMR spectrum.[20−22] Common strategies to increase
the NMR S/N involve performing experiments at high magnetic fields
(7–25 T), using large samples, and averaging signals for as
long as months.[23]Dynamic nuclear
polarization (DNP) can increase the NMR S/N by
orders of magnitude, greatly shortening signal-averaging times and
expanding the range of systems that can be studied with NMR.[24] In MAS DNP, samples are typically doped with
an exogenous stable radical (known as a polarizing agent), and upon
continuous wave (CW) irradiation with an appropriate microwave frequency,[50] the large electron spin polarization is transferred
to nuclear spins through hyperfine interactions. Most applications
of DNP also rely on proton dipolar couplings to spread the enhanced
polarization throughout a proton network, resulting in bulk nuclear
hyperpolarization.[25]The gyromagnetic
ratio of a bare electron (g =
2.0023) is 658 times larger than that of a proton, leading to higher
spin polarization and also strong hyperfine couplings. Dipolar hyperfine
couplings are typically leveraged in DNP for polarization transfer
but can also lead to detrimental paramagnetic relaxation effects of
nuclear spins in the vicinity of the polarizing agent. An example
of the exceptional NMR sensitivity achievable with DNP is shown in Figure , which compares
cross-polarization (CP) MAS 13C-NMR spectra recorded with
and without microwave irradiation. DNP increases the NMR signal intensity
by a factor of 328 using microwaves from a high-power, 198 GHz gyrotron.
MAS DNP is commonly performed below 120 K, but improved technology
and methodology will result in better DNP performance at room temperature
(RT).
Figure 1
(a) CP MAS enhancement spectra of 1 M [U–13C,15N] urea with 20 mM AMUPol at 81 K at 6 kHz. The 1H enhancement was 328. The black curve is 100× the signal obtained
with no microwaves. The red curve denotes measurements taken with
microwaves present. Figure reproduced with modifications by permission
of the Journal of Magnetic Resonance.[32]
(a) CP MAS enhancement spectra of 1 M [U–13C,15N] urea with 20 mM AMUPol at 81 K at 6 kHz. The 1H enhancement was 328. The black curve is 100× the signal obtained
with no microwaves. The red curve denotes measurements taken with
microwaves present. Figure reproduced with modifications by permission
of the Journal of Magnetic Resonance.[32]Much of the success and popularity
of MAS DNP is derived from the
microwave and probe technology development at M.I.T. by Griffin, Temkin,
and co-workers.[6,26−31] CW gyrotron oscillators and cryogenic MAS probes provide access
to sufficient microwave powers and sample temperatures to transform
DNP into a widely applicable magnetic resonance technique. Improvements in microwave technology and cryogenics are also
expected to play a primary role in future DNP development. Coherent, frequency-agile microwave sources will permit time domain
DNP transfers, and access to sample temperatures below 6 K will be
achieved by employing helium cryogens. Our laboratory has already
shown the advantages of frequency-chirped microwave control in MAS
experiments by demonstrating the first attenuation of detrimental
hyperfine couplings using pulsed electron decoupling (eDEC). This
perspective reviews recent developments in time domain microwave methods
and cryogenics employed in MAS DNP. We also discuss progress toward
time domain DNP with MAS for applications between 4.2 and 320 K.The spectra shown in Figure were recorded with a sample temperature of 81 K, which is
typical in MAS DNP experiments. Cryogenic temperatures are required
in MAS DNP experiments (with notable exceptions in model systems[33−36]) due to electronic spin relaxation at RT interfering with polarization
transfer and nuclear relaxation preventing the buildup of bulk nuclear
spin polarization via proton spin diffusion.The major disadvantage
of cryogenically freezing biological samples
is that the cryogenically trapped molecular state is not necessarily
the same conformation that exists at physiological temperature. This
is because the freezing time ranges from hundreds of microseconds
to hours. Molecules can change structure to occupy altered minima
in the free energy landscape throughout the freezing process. For
example, crystallography shows pronounced differences of protein structures
determined at cryogenic and RT.[37] Hydrogen
bonding networks are particularly prone to rearrangement upon cryogenic
freezing, and detailed structural measurements on molecular conformations
that differ from the relevant ones are less meaningful. In addition,
cryogenic DNP severely limits measurements of molecular dynamics.Magnetic resonance is superbly suited to experimentally determine
the molecular dynamics that play a fundamental role in molecular function.
Nuclear and electronic interactions yield rich information on motion
ranging from nanoseconds to seconds. However, low thermal energy at
cryogenic temperatures results
in a mostly static snapshot of molecules; therefore, current cryogenic
DNP ssNMR methods cannot be used to study extensive molecular dynamics.
DNP NMR experiments near RT will allow for the determination of molecular
dynamics. Molecular motion near RT can also result in exquisite spectral
resolution in ssNMR.Although MAS NMR spectra of many solids
exhibit excellent resolution
near RT due to dynamic averaging of multiple conformations with different
chemical shifts, they often smear into broad, indistinguishable line
shapes at cryogenic temperatures.[6] This
is true even for cryoprotected samples. Notable exceptions include
model systems with cryogenic MAS, in which more homogeneous conformational
ensembles result in narrow resonances, even after freeze-trapping.[6,22,38−40] Performing
DNP near RT will result in well-resolved spectra of a much wider range
of samples and also reduce the cost of DNP spectrometers. Refrigerators,
liquid nitrogen dewars, cryostats, and associated equipment are expensive
and require valuable laboratory space. Noncryogenic DNP spectrometers
will result in broader dissemination of high-sensitivity ssNMR technology.Time domain DNP performed directly to nuclei of interest with subsequent
pulsed eDEC is a promising route toward broadly applicable RT MAS
DNP. For instance, the relatively slow proton spin diffusion that
partially prevents RT DNP is not required. The polarization rate is
instead dominated by the hyperfine interaction, radio frequency (RF),
and microwave (MW) fields. Repetition rates in such “direct-transfer”
DNP experiments are only limited by the longitudinal electronic relaxation
(T1S) rather than much longer nuclear T1I,DNP. Such experiments have already been applied
in static NMR, resulting in DNP enhancements above 200 at RT.[41−43] Additionally, the resulting short polarization times allow for a
very low duty cycle of the microwave source, preventing excessive
heating.Although delays between transients are reduced by eliminating
the
requirement for spin diffusion, electrons must be in direct dipolar
contact with the nuclear spin of interest. This can lead to dramatic
paramagnetic effects such as large hyperfine shifts and hyperfine
broadening of the nuclear resonances.[44] We have recently successfully attenuated these detrimental effects
by employing pulsed eDEC with frequency-chirped microwave irradiation.[45] Although pulsed eDEC has been demonstrated in
conjunction with MAS, this has yet to be accomplished with time domain
DNP. Challenges include generating sufficiently intense microwave
fields within MAS rotors and shaping microwave pulses in the time
domain.Several pulse sequences could potentially be employed
for time
domain DNP with MAS. We use the term “time domain DNP”
to describe coherent electron nuclear polarization transfers that
do not rely on electron nuclear cross relaxation. However, we reserve
the term “pulsed DNP” to describe experiments in which
the Fourier transform of the microwave irradiation results in a bandwidth
sufficient to dominate all internal electron spin interactions. In
other words, pulsed DNP requires pulses that cover the EPR line shape.Here, we
consider the integrated solid effect (ISE),[42,46] off-resonance nuclear orientation via electron spin locking (NOVEL),[41] and electron–nuclear CP (eNCP).[47,48] Importantly, all three of these time domain DNP transfers can be
implemented with chirped frequency microwave irradiation, rather than
square, hard pulses. Such frequency-swept strategies are not only
robust to microwave field inhomogeneity but also can be readily implemented
with existing frequency-agile gyrotrons. We previously discussed the
advantages of frequency-swept microwaves for time domain DNP and characterized
the substantial microwave field inhomogeneity of MAS DNP.[49] We note that pulsed DNP strategies, which require
very homogeneous microwave fields, will be restricted to small sample
volumes and perhaps negate increases in S/N afforded by DNP.Wenckenbach and co-workers originally implemented the ISE with
a magnetic field sweep to improve solid effect DNP efficiency on samples
with poorly resolved solid effect matching condition profiles.[46] Later, Griffin and co-workers implemented the
ISE with a microwave frequency sweep.[42] However, we emphasize that both of these demonstrations were at
field strengths < 7 T and not performed with MAS.The matching
condition for the solid effect[43] is given
by eq where
νI is the Larmor frequency
of the nucleus of interest. νSeff is given by eq where νS is the Larmor frequency
of the electron, νmw is the microwave frequency irradiating
the sample, and ν1S is the Rabi frequency (γB1) of the electrons.[43]Figure demonstrates
the energy levels involved in the traditional solid effect,[29] in which νS – νmw ≫ ν1S. In this case, the effective
field is essentially equal to the microwave frequency offset from
the electron resonant frequency. The green circles represent the populations
of the states shown at thermal equilibrium (not drawn to scale). The
double-headed arrows connect the states whose populations are equalized
under microwave irradiation at the frequencies shown. The lowest-energy
level of the system is taken to be the zero of the energy scale.
Figure 2
Microwaves
drive ZQ or DQ forbidden transitions corresponding to
the transitions shown. This representation of the solid effect assumes
that the nucleus has a positive gyromagnetic ratio. The ket vectors
are labeled as |msmI>.
Microwaves
drive ZQ or DQ forbidden transitions corresponding to
the transitions shown. This representation of the solid effect assumes
that the nucleus has a positive gyromagnetic ratio. The ket vectors
are labeled as |msmI>.Figure a provides
an example of a solid effect enhancement profile that is not fully
resolved (black), with the eDEC profile superimposed (green) to provide
a guide to the position of the electron paramagnetic resonance (EPR)
line shape. When the solid effect conditions are not adequately resolved,
the double-quantum (DQ) and zero-quantum (ZQ) matching conditions[50] given in eq can be simultaneously fulfilled. In this case, the
polarization rates of the DQ and ZQ conditions subtract, leading to
poor enhancement in the overlapping region. This is explicitly stated
in eq , where is the total rate of
polarization, is the rate of polarization due
to the
DQ solid effect, and is the rate
of polarization due to the
ZQ solid effectIn the frequency-swept ISE, the microwave
frequency initially fulfills either the DQ or ZQ solid effect conditions
and is swept through the electron resonance condition to the other
solid effect condition. This is shown in Figure b, which also includes pulsed eDEC during
the echo detection of the NMR signal. During the ISE sweep, electron
spins are adiabatically inverted, effectively reversing the direction
of the ZQ or DQ contribution to the polarization rate. The rate of
polarization is then given by eq This improvement in the polarization
rate
derived from coherent control of electron spins has been used to obtain
RT 1H enhancements on static samples at 0.35 T.[42]
Figure 3
(a) Mildly unresolved solid effect enhancement profile
for protons
in 4 M [U–13C,15N] urea with 40 mM of
the Finland trityl radical (black). This figure was reproduced with
modification with permission from the Journal of Magnetic Resonance.[53] Superimposed is the center frequency dependence
of eDEC to demonstrate the location of the EPR spectrum of the radical
(green). This figure was reproduced with modification with permission
from the Journal of the American Chemical Society.[45] (b) Possible frequency-swept ISE/off-resonance NOVEL pulse
sequence. (c) eNCP. Color gradients in Figure b,c indicate frequency-chirped microwaves.
(d) Proposed electron-detected multiple-dimensional pulse sequence.
(a) Mildly unresolved solid effect enhancement profile
for protons
in 4 M [U–13C,15N] urea with 40 mM of
the Finland trityl radical (black). This figure was reproduced with
modification with permission from the Journal of Magnetic Resonance.[53] Superimposed is the center frequency dependence
of eDEC to demonstrate the location of the EPR spectrum of the radical
(green). This figure was reproduced with modification with permission
from the Journal of the American Chemical Society.[45] (b) Possible frequency-swept ISE/off-resonance NOVEL pulse
sequence. (c) eNCP. Color gradients in Figure b,c indicate frequency-chirped microwaves.
(d) Proposed electron-detected multiple-dimensional pulse sequence.Closely related to the ISE is
off-resonance NOVEL,[43] which relaxes the
largely prohibitive matching condition
for on-resonance NOVEL. NOVEL requires matching the electron Rabi
frequency with the nuclear Larmor frequency. Even for nuclei with
relatively small gyromagnetic ratios at moderate magnetic fields,
such as 15N at a field strength of 7 T, an electron γB1 of 30 MHz is required for on-resonance NOVEL.
NOVEL to protons at 21 T requires a 900 MHz electron Rabi frequency,
which corresponds to a currently inaccessible power of >10 MW.[49] In off-resonance NOVEL, the electron γB1 is made as large as possible, and the offset
of the microwave frequency from the electron resonance frequency is
used to reach the matching condition given in eq . Typically, the NOVEL experiment begins with
a pulse on the electron spins to tilt their magnetization into the
transverse plane, followed by a spin lock. Alternatively, a frequency
chirp of the irradiating microwaves can be employed in an adiabatic
half passage to generate transverse magnetization. It should be noted
that the easing of the matching condition for off-resonance NOVEL
over on-resonance NOVEL comes at the expense of scaling of the maximum
enhancement obtainable, as derived previously in the literature.[43] The expression for the corresponding scaling
factor (κNOVEL) is given in eq The pulse sequence for a frequency-swept,
off-resonance NOVEL experiment is essentially the same as the ISE
shown in Figure b
but with a larger γB1.eNCP
(Figure c)
is another promising time domain DNP experiment[47,48] and could be implemented with readily available frequency-agile
gyrotron microwave sources. Large hyperfine couplings present in a
direct-transfer eNCP experiment result in differing effective fields
between the and spin states of the nuclei
and electrons
The matching condition for eNCP is given by eq , where νSαeff and νSβeff are the effective fields of the and electrons, respectively,
and νIαeff and νIβeff are the
effective fields of the and nuclei, respectively.
The expressions for
calculating these effective fields have been shown previously in the
literature and appear in eq (47,48)In magnetic resonance experiments,
large gyromagnetic ratios result
in more sensitive signal detection. The S/N in the experiment can
therefore be optimized further by detecting the EPR signal of the
electrons rather than the NMR signal of the nuclei. Electron nuclear
double resonance (ENDOR)[51] and electron
spin echo envelope modulation (ESEEM)[52] are two techniques currently used to monitor NMR transitions through
EPR detection. Integration of pulsed EPR and NMR with MAS will allow
for electron-detected, high-resolution multiple-dimensional NMR experiments
to be performed. Figure d provides an example of such a sequence. Polarization could be first
transferred from the electrons to the protons directly coupled with
time domain DNP methods. This initial transfer could be followed by
a series of mixing and evolution periods on various nuclear spins
detected in indirect dimensions, as is commonly employed in high-resolution
multidimensional NMR. A final mixing period could transfer magnetization
back to the electrons for detection in the direct dimension. eDEC
would be necessary in such experiments to maintain long nuclear spin–spin
relaxation times as well as resolution in the indirect dimensions.The time domain DNP experiments listed above will be used in conjunction
with direct-transfer DNP, in which the electron spin polarizes directly
to the observed nuclei. While this technique saves experimental time
by removing slow nuclear spin diffusion, observed nuclei must be close
to the paramagnetic radical electrons, which can have detrimental
effects on the resolution of the resulting spectrum. Electron decoupling
(eDEC) can be employed to partially average out hyperfine interactions
and will be a crucial aspect of direct-transfer DNP.We have
successfully implemented pulsed eDEC in MAS NMR experiments.[45] The pulse sequence for a 13C Hahn-Echo-detected
eDEC DNP MAS experiment is shown in Figure a. During the polarization period, the microwave
frequency is maintained at a constant value for DNP solid effect enhancement.
The microwave frequency is then chirped over the electron resonance
condition during the NMR signal detection.
Figure 4
(a) 13C Hahn-Echo
pulse sequence used to demonstrate
pulsed eDEC. (b) Pulsed eDEC performed with a polarization time of
0.5 s. The line width is narrowed from 419 to 371 Hz with pulsed eDEC:
a narrowing of 48 Hz. (c) Pulsed eDEC performed with a polarization
time of 7 s. The line width is narrowed from 336 to 309 Hz with pulsed
eDEC: a narrowing of 27 Hz. Black spectra represent the 13C signal obtained with no eDEC, while red spectra represent those
obtained with pulsed eDEC. The sample is 4 M (U–13C,15N) urea and 40 mM trityl (Finland radical) in d-8 glycerol/D2O/H2O (60/30/10 by
volume) at a sample volume of 30 μL in a 3.2 mm zirconia rotor.
The experiments were conducted at 90 K and at a sample spinning frequency
of 4 kHz. Figure reproduced with modifications by permission of the
Journal of the American Chemical Society.[45]
(a) 13C Hahn-Echo
pulse sequence used to demonstrate
pulsed eDEC. (b) Pulsed eDEC performed with a polarization time of
0.5 s. The line width is narrowed from 419 to 371 Hz with pulsed eDEC:
a narrowing of 48 Hz. (c) Pulsed eDEC performed with a polarization
time of 7 s. The line width is narrowed from 336 to 309 Hz with pulsed
eDEC: a narrowing of 27 Hz. Black spectra represent the 13C signal obtained with no eDEC, while red spectra represent those
obtained with pulsed eDEC. The sample is 4 M (U–13C,15N) urea and 40 mM trityl (Finland radical) in d-8 glycerol/D2O/H2O (60/30/10 by
volume) at a sample volume of 30 μL in a 3.2 mm zirconia rotor.
The experiments were conducted at 90 K and at a sample spinning frequency
of 4 kHz. Figure reproduced with modifications by permission of the
Journal of the American Chemical Society.[45]Figure b,c displays
a comparison of spectra taken with eDEC (red) and no eDEC (black)
of urea frozen in a glassy matrix with trityl using DNP polarization
times of 0.5 and 7 s, respectively. In both cases, the spectra obtained
with eDEC show narrower resonances as well as increased intensity
over those taken with no eDEC. The spectra obtained using a polarization
time of 0.5 s have larger line widths than those using a polarization
time of 7 s. This is expected as the nuclei that become polarized
at 0.5 s of polarization time are closer to the radical electron than
the polarized nuclear spins in the 7 s polarization time experiment.
The effect of eDEC is greater at shorter polarization times because
strongly coupled nuclei make up a larger portion of the signal in
that regime, and therefore, the signal is not washed out by more weakly
coupled ones that are already not as broadened.The success
of these pulsed eDEC experiments is due, in large part,
to the frequency agility of the microwave source. Creating microwave
chirps requires rapid frequency agility while maintaining power, as
well as the ability to integrate frequency-chirped microwave irradiation
into the pulse sequence of the NMR spectrometer with integrated EPR
excitation capability.Implementation of frequency-agile gyrotrons
has been crucial to
realizing pulsed eDEC with MAS. A high-power, frequency-agile microwave
source is required to generate the requisite electron γB1 fields at the desired frequencies and to overcome
extensive inhomogeneity in the microwave field irradiating the sample.
The gyrotron generates microwaves by accelerating electrons into a
mildly relativistic energy regime through a large magnetic field,
which causes them to gyrate.[54] Electrons
then deposit energy in the form of microwave power into a cylindrical
cavity. In the gyrotron depicted in Figure a,b, the rotating TE5,2 transverse
electromagnetic mode was selected in the interaction cavity due to
a wide-frequency excitation profile, which enables the generation
of chirped microwave pulses. A helical-cut Vlasov launcher and mode
converter transforms the microwave power distributed in the high-order
mode into a Gaussian profile that couples efficiently to the HE11 mode supported in an overmoded waveguide (Figure a).[49]
Figure 5
(a)
Computer-aided design (CAD) drawing of a 198 GHz gyrotron.
(b) The gyrotron is connected by the wire (highlighted in yellow)
to a low-capacitance amplifier. (c) Dependence of the gyrotron output
frequency on the applied accelerating voltage. (d) Rotor-synchronized
microwave power output from the gyrotron. The rotor tachometer reading
is shown in green, the gating voltage pulses in red, and the microwave
power modulation in black. Figure reproduced with modifications by
permission of the Journal of Magnetic Resonance.[53]
(a)
Computer-aided design (CAD) drawing of a 198 GHz gyrotron.
(b) The gyrotron is connected by the wire (highlighted in yellow)
to a low-capacitance amplifier. (c) Dependence of the gyrotron output
frequency on the applied accelerating voltage. (d) Rotor-synchronized
microwave power output from the gyrotron. The rotor tachometer reading
is shown in green, the gating voltage pulses in red, and the microwave
power modulation in black. Figure reproduced with modifications by
permission of the Journal of Magnetic Resonance.[53]Frequency agility is achieved
by quickly changing the accelerating
voltage in the electron gun.[53] An arbitrary
waveform generator in the NMR spectrometer generates voltage sweeps
that are amplified by a low-capacitance amplifier, allowing for frequency-chirped
microwave irradiation to be readily implemented into the NMR pulse
sequences. The amplifier output is then connected to the accelerating
anode of the gyrotron (yellow cable in Figure b). Figure c shows a decrease in the output frequency when the
accelerating voltage is increased.[53,54]The
gyrotron accelerating voltage can also be used for microwave
gating. Microwave irradiation is rapidly terminated (over about 10
μs) by setting the potential to a voltage with a cyclotron frequency
well outside of the resonant condition of the cavity. Microwave gating
via voltage control can generate rotor-synchronized microwave power,
as shown in Figure d. This technique could also be used to duty cycle the microwave
irradiation and minimize sample heating.We have previously
calculated that 7.1% of microwave power is dissipated
as heat in a frozen glycerol–water sample.[49] With an input microwave power of 5 W, the 0.4 W of power
deposited in the sample is easily dissipated by the large cooling
capacity of the cryogenic fluid supplied by the MAS system.[56] At RT, dielectric heating of aqueous samples
will dramatically increase due to a higher dielectric loss tangent
of liquids compared to frozen solids. Therefore, the ability to keep
the microwave irradiation at a low duty cycle will be crucial to prevent
excessive heating of aqueous samples. As discussed previously, more
intense microwave fields will also be required to yield the required
coherent electron spin control for efficient DNP at RT. Note, this
microwave duty cycle is not providing true microwave “pulses”
for pulsed DNP applications.In addition to increasing the power
generated by the microwave
source, Teflon lenses can also increase the electron Rabi frequency
by focusing the microwave irradiation into the sample.[26]Figure a is a simulation of the microwave power distribution of a
Gaussian microwave beam irradiating a 4 mm outside diameter MAS rotor.[26] With no lens, a considerable amount of microwave
power misses the sample (indicated by the white box). However, by
using a cylindrical Teflon lens that compresses the beam along the
rotor short axis, a higher portion of the power is focused into the
sample (Figure b).[26]Figure c,d shows experiments confirming the results of the simulation
without and with the lens, respectively.[26]
Figure 6
(a)
Simulated power distribution of a Gaussian beam exiting a waveguide.
The white box indicates the sample location inside of the rotor. (b)
Simulated effect on the power distribution after the Gaussian beam
has passed through a cylindrical lens. (c) Experimental verification
of (a). (d) Experimental verification of (b). Figure reproduced with
modifications by permission of the Journal of Magnetic Resonance.[26]
(a)
Simulated power distribution of a Gaussian beam exiting a waveguide.
The white box indicates the sample location inside of the rotor. (b)
Simulated effect on the power distribution after the Gaussian beam
has passed through a cylindrical lens. (c) Experimental verification
of (a). (d) Experimental verification of (b). Figure reproduced with
modifications by permission of the Journal of Magnetic Resonance.[26]Another route to improve the electron γB1 is to construct a resonant cavity around the sample,[57] as is commonly employed in EPR and static DNP
instruments. However, the components required for MAS, such as the
bearings and rotor, greatly complicate the implementation of microwave
cavities in such a way.[27] We have recently
introduced a novel strategy to overcome this problem by coating the
rotor with a thin layer of metal in order to form a microwave resonance
structure within the rotor.[57]An
example of the copper-coated rotor is shown in Figure a. The rotor was coated by
vacuum deposition to a thickness of 50 nm, with a gap to provide an
iris for coupling of the microwave power into the cylindrical cavity.
The metal coating is thin enough to pass radio waves but thick enough
to establish a boundary condition for microwaves.[57] Therefore, a Goldilocks thickness of 50 nm is just right
and leverages the differences in skin depth at radio and microwave
frequencies. This leads to only a mild reduction in 13C
signal intensity of metal-coated rotors (Figure b). Additionally, the resolution of J-couplings
is maintained, indicating excellent magnetic field homogeneity even
with the rotor surface metalized. The 3.2 mm outside diameter rotors
were also able to spin up to 5 kHz, demonstrating that the metal does
not create eddy currents sufficient to prohibit MAS.
Figure 7
Metalized rotors for
MAS DNP. (a) Rotor coated with copper by vacuum
deposition. (b) 13C CPMAS spectrum of U–13C sodium acetate at a spinning frequency of 5.4 kHz. The spectrum
is an expansion around the carboxyl peak of sodium acetate. The red
curve was taken with an uncoated rotor, and a copper coating is present
in the blue spectrum. Figure reproduced with modifications with permission
from Magnetic Resonance in Chemistry.[57]
Metalized rotors for
MAS DNP. (a) Rotor coated with copper by vacuum
deposition. (b) 13C CPMAS spectrum of U–13C sodium acetate at a spinning frequency of 5.4 kHz. The spectrum
is an expansion around the carboxyl peak of sodium acetate. The red
curve was taken with an uncoated rotor, and a copper coating is present
in the blue spectrum. Figure reproduced with modifications with permission
from Magnetic Resonance in Chemistry.[57]In addition to improving DNP performance
at higher temperatures,
access to cryogenic temperatures from 4 to 110 K is also an important
avenue of technological development. Cryogenic temperatures not only
yield excellent sensitivity due to higher Boltzmann polarization but
also provide more accommodating sample properties to demonstrate time
domain MAS DNP.Cryogenic instrumentation for MAS DNP below
80 K has been developed
by multiple groups.[58−61] One method employs nitrogen gas to support (bearing) and spin (drive)
the sample rotor, while cold helium gas blows directly on the center
of the rotor to cool the sample to 25 K. Elongated 4 mm rotors and
Teflon baffles are used to provide physical barriers between the warmer
nitrogen and cooler helium regions. This configuration prevents liquefaction
of the nitrogen gas and preserves spinning up to 7 kHz, with a sample
temperature of 25 K.[58,59,62]In our laboratory, we implemented a similar strategy but replaced
the nitrogen gas used for bearing and drive with chilled helium gas
at 80 K (Figure a).[55] With this substitution, sample temperatures
below 6 K are attainable while maintaining spinning of 6 kHz. Computational
fluid dynamics (CFD) was used to optimize the fluid flow, minimize
sample temperatures, and also provide a means to measure the sample
temperature. For example, a temperature sensor is placed directly
in the helium fluid path near the rotor, at which point the CFD calculations
indicate the same temperature as the sample. The 79Br T1 is commonly employed to measure sample temperatures in cryogenic
MAS experiments, but below 6 K, the 79Br T1 is
too long (>20 min) to use as a temperature indicator. Also, in
this
pure helium implementation of MAS, long rotors are not required as
nitrogen liquefaction is no longer an issue. Short rotors permit cryogenic
sample exchange, allowing for more than five samples to be examined
with MAS below 6 K within a 4 h period. The helium consumption of
this apparatus is high (∼30 L/h), but because the cryogen exhaust
is pure helium, a closed loop helium recirculation system could be
readily implemented.[60]
Figure 8
Cryogenic technology
used in DNP MAS NMR experiments from RT to
4.2 K. (a) NMR probe head showing the path of the variable-temperature
(VT) helium fluid (shown by the blue arrow) onto the sample. (b) Heat
exchanger that is used to cool drive, bearing, and VT fluids to 80–100
K. These figures were reproduced with permission from the Journal
of Magnetic Resonance.[32,55]
Cryogenic technology
used in DNP MAS NMR experiments from RT to
4.2 K. (a) NMR probe head showing the path of the variable-temperature
(VT) helium fluid (shown by the blue arrow) onto the sample. (b) Heat
exchanger that is used to cool drive, bearing, and VT fluids to 80–100
K. These figures were reproduced with permission from the Journal
of Magnetic Resonance.[32,55]Cryogenic technology for MAS at temperatures > 80 K, which
can
be conducted with nitrogen cryogens, is important due to the expense
and difficulty associated with helium cryogens for MAS. Even though
nitrogen cryogens are affordable compared to helium, MAS DNP spectrometers
typically require >200 L of N2(l) per day of operation.[63] The heat exchanger design shown in Figure b makes use of a
counterflow coil to reduce nitrogen consumption. This feature conserves
liquid nitrogen by collecting the relatively cold exhaust gas from
the probe head and using it to precool incoming warm nitrogen gas.
A lower temperature of the incoming spinning gases reduces the amount
of boil-off of the liquid nitrogen cooling reservoir and results in
a liquid nitrogen consumption of only 90 L/day when conducting MAS
experiments.[32]MAS DNP is widely
used to increase NMR signal intensity. The CW
DNP methods currently employed in conjunction with MAS will eventually
be replaced with time domain DNP and subsequent pulsed eDEC, which
is a promising pathway toward efficient DNP at RT. While RT DNP has
many advantages, performing experiments at temperatures below 6 K
will result in unparalleled NMR sensitivity. Coherent EPR control together with MAS NMR is expected to provide
a powerful experimental platform leading to many high-impact directions
of research in magnetic resonance.Frequency-chirped
microwaves generated with frequency-agile gyrotron
oscillators provide a direct route to coherent EPR control using currently
accessible technology. Time domain DNP methods using frequency chirps
have already been implemented during acquisition of the NMR signal,
effectively decoupling the electrons from the nuclei. Further development
of DNP instrumentation will yield significant improvements in the
repertoire and performance of pulsed eDEC and MAS DNP experiments.
High-power frequency-agile gyrotrons, Teflon lenses, and spinning
microwave resonators will result in coherent control of electron spins
in MAS experiements. Time domain DNP and pulsed eDEC will ensure that
magnetic resonance continues to be a fertile field of research in
the coming decades.
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Authors: Alexander B Barnes; Emilio A Nanni; Judith Herzfeld; Robert G Griffin; Richard J Temkin Journal: J Magn Reson Date: 2012-03-29 Impact factor: 2.229
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Authors: Faith J Scott; Edward P Saliba; Brice J Albert; Nicholas Alaniva; Erika L Sesti; Chukun Gao; Natalie C Golota; Eric J Choi; Anil P Jagtap; Johannes J Wittmann; Michael Eckardt; Wolfgang Harneit; Björn Corzilius; Snorri Th Sigurdsson; Alexander B Barnes Journal: J Magn Reson Date: 2018-02-12 Impact factor: 2.229
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Authors: Daniel A Keedy; Henry van den Bedem; David A Sivak; Gregory A Petsko; Dagmar Ringe; Mark A Wilson; James S Fraser Journal: Structure Date: 2014-05-29 Impact factor: 5.006