David Columbus1, Vaishali Arunachalam1, Felix Glang2, Liat Avram3, Shira Haber1, Arava Zohar1, Moritz Zaiss2,4, Michal Leskes1. 1. Department of Molecular Chemistry and Materials Science, Weizmann Institute of Science, Rehovot 761000, Israel. 2. Magnetic Resonance Center, Max-Planck Institute for Biological Cybernetics, Tübingen 72076, Germany. 3. Department of Chemical Research Support, Weizmann Institute of Science, Rehovot 761000, Israel. 4. Institute of Neuroradiology, University Clinic Erlangen, Friedrich-Alexander Universität Erlangen-Nürnberg (FAU), Erlangen 91052, Germany.
Abstract
Lithium metal anodes offer a huge leap in the energy density of batteries, yet their implementation is limited by solid electrolyte interphase (SEI) formation and dendrite deposition. A key challenge in developing electrolytes leading to the SEI with beneficial properties is the lack of experimental approaches for directly probing the ionic permeability of the SEI. Here, we introduce lithium chemical exchange saturation transfer (Li-CEST) as an efficient nuclear magnetic resonance (NMR) approach for detecting the otherwise invisible process of Li exchange across the metal-SEI interface. In Li-CEST, the properties of the undetectable SEI are encoded in the NMR signal of the metal resonance through their exchange process. We benefit from the high surface area of lithium dendrites and are able, for the first time, to detect exchange across solid phases through CEST. Analytical Bloch-McConnell models allow us to compare the SEI permeability formed in different electrolytes, making the presented Li-CEST approach a powerful tool for designing electrolytes for metal-based batteries.
Lithium metal anodes offer a huge leap in the energy density of batteries, yet their implementation is limited by solid electrolyte interphase (SEI) formation and dendrite deposition. A key challenge in developing electrolytes leading to the SEI with beneficial properties is the lack of experimental approaches for directly probing the ionic permeability of the SEI. Here, we introduce lithium chemical exchange saturation transfer (Li-CEST) as an efficient nuclear magnetic resonance (NMR) approach for detecting the otherwise invisible process of Li exchange across the metal-SEI interface. In Li-CEST, the properties of the undetectable SEI are encoded in the NMR signal of the metal resonance through their exchange process. We benefit from the high surface area of lithium dendrites and are able, for the first time, to detect exchange across solid phases through CEST. Analytical Bloch-McConnell models allow us to compare the SEI permeability formed in different electrolytes, making the presented Li-CEST approach a powerful tool for designing electrolytes for metal-based batteries.
Rechargeable
batteries, in particular, lithium-based batteries,
play a central role in the transition toward sustainable energy utilization.
As such, there is global interest in developing battery cells and
chemistries with improved performance and lifetime for large-scale
applications such as electric transportation, grid-scale energy storage,
and load leveling. One of the promising routes for achieving a leap
in the cell performance is to replace the current graphite-based anodes
with lithium metal, due to its high theoretical specific capacity
(3860 mA h/g) and low negative redox potential (−3.04 vs standard
hydrogen electrode), both result in ultrahigh energy density. However,
the utilization of lithium metal is hampered by several fundamental
challenges which include nonuniform lithium plating in the form of
metallic dendrites and continuous reactivity with the electrolyte.[1,2] The latter results in complex surface chemistry and the formation
of the solid electrolyte interphase (SEI), a thin layer with a thickness
of 10–100 nm, made of organic and inorganic phases.[3] It is hard to overestimate the importance of
the SEI and its central role in the cell’s performance: its
strategic location at the anode–electrolyte interface makes
its properties, namely, its composition and structure, a crucial factor
determining lithium transport and deposition.[4,5]Thus, the SEI, in general and in particular, on lithium metal has
been the subject of numerous studies targeted at elucidating its chemical
composition and morphology.[6−8] However, the crucial effect of
the SEI on the ion-transport process across the electrode–electrolyte
interface is far less understood. Although experimental approaches
are available for determining the phase composition of the SEI,[6] insights into its permeability to lithium ions
are much harder to obtain directly. Instead, information is mostly
gained through electrochemical impedance spectroscopy (EIS) which
requires extensive modeling for disentangling the multiple processes
affecting interfacial resistance[9−12] or through theoretical tools including density functional
theory and ab initio molecular dynamics.[13−17] Nuclear magnetic resonance (NMR) spectroscopy and
mass spectrometry can be used to directly probe ion exchange across
the electrode–electrolyte interface. To date, this has been
achieved by lithium isotope exchange experiments which provide a global
exchange rate that is a convolution of several processes, namely,
ion desolvation, transport through the SEI, and exchange with the
electrode surface.[18−24] Another limitation of this method is that isotope exchange is difficult
to use with cycled electrodes without perturbing the SEI layer formed
on their surface. Another approach is the use of NMR exchange spectroscopy
for determining the SEI–metal exchange rate.[25] However, this requires the removal of all or part of the
electrolyte which would otherwise dominate the spectra, and as such,
it does not allow probing the SEI in its native form, which likely
has significantly different transport properties in its dry form.[26]Here, we employ a powerful NMR-based approach
for directly probing
ion exchange between lithium metal and the SEI in its native form.
We utilize chemical exchange saturation transfer (CEST), a method
which is commonly used in high-resolution 1H NMR and magnetic
resonance imaging.[27−32] Typically, CEST makes use of exchange between a large pool of 1H nuclei in the solvent (commonly H2O) and a small
pool of exchangeable 1H on the molecule or biomolecule
of interest. The spin population of the small pool (which is often
invisible to direct NMR detection) is perturbed by a radio frequency
(RF) pulse, and since this pool is in exchange with the large pool,
part of this effect is transferred to the large pool population. As
a result, the NMR signal of the large pool is reduced compared to
its unperturbed signal, thereby allowing us to probe the small pool
properties with higher sensitivity. This can be used to determine
the identity and quantity of the chemical environment that is exchanging
with the solvent, as well as the exchange rate between them.[33]In this work, we show that the process
of lithium exchange between
the SEI and the metal can be efficiently captured with CEST, demonstrating
the first implementation of CEST for detecting exchange between two
solids. We first apply the approach to symmetric lithium battery cells,
revealing the pronounced 7Li-CEST effect on dendritic lithium
structures formed upon cycling. We then develop the approach systematically
on dendritic lithium which is grown in situ in the NMR tube. The ability
to detect entire dendritic structures with NMR (in contrast to bulk
metal[34−37]) along with their high surface area offered by their fractal nature[1,38] makes the exchange process between the metal dendrite and its SEI
detectable with CEST. This is used to directly and efficiently compare
the lithium permeability of the SEI formed in different electrolytes.
Furthermore, modeling of the CEST profiles is used to quantify the
metal–SEI exchange rate, and along with variable temperature
measurements, we are able to determine the activation energy for lithium
transport across the metal–SEI interface.CEST offers
a simple way to probe this otherwise invisible process
which is fundamental for the performance of the battery cell. This
is a powerful tool which can be employed for designing electrolyte
systems with improved SEI properties. Moreover, the approach can possibly
be extended to other emerging battery chemistries involving metal
electrodes such as sodium, magnesium, and zinc.
Materials and Methods
Sample
Preparation and Electrochemistry
Measurements on battery
cells were performed on symmetric cells
assembled in a PEEK casing[39] using two
lithium metal strips on top of copper mesh current collectors as electrodes,
separated by a glass fiber separator (Whatman) soaked with 1M LiPF6 in a 1:1 mixture of ethylene carbonate, EC, and dimethyl
carbonate, DMC (LP30, Solvionic electrolyte grade, <20 ppm water).
For following dendrite growth, cells were cycled with current density
in the range 1–3 mA/cm2 reversing the current direction
every hour (see Figure S1 for the representative
electrochemical plot).Lithium dendrites were grown in an electrochemical
setup designed to fit within a 5 mm NMR tube (see the Supporting Information). The electrochemical
experiments were performed within an argon glovebox (O2, H2O < 0.5 ppm) where all materials were stored.Two rectangular fresh lithium metal pieces (Sigma-Aldrich, 99.9%
trace metal basis) were cut using scissors in dimensions of 3 mm ×
5 mm × 0.38 mm and folded along their long axis onto Pt wires.
The wires were connected to a Bio-Logic portable SP-50 potentiostat
through sealed contacts at the back of the glovebox. Electrolyte solution
(200 μL) was added to a standard 5mm NMR tube. Three types of
electrolytes were used: (i) LP30, (ii) fluoroethylene carbonate, FEC,
containing electrolyte, obtained by adding 10% (by volume) FEC (Gotion)
to the LP30 solution, and (iii) 1 M lithium bis(trifluoromethanesulfonyl)imide,
LiTFSI, in 1:1 v/v 1,2-dimethoxyethane/1,3-dioxolane, DOL/DME, which
was made by dissolving LiTFSI salt (Sigma-Aldrich, dried under vacuum
at 150 C for 48 h) in DOL and DME (Sigma Aldrich) which were thoroughly
dried and stored with molecular sieves (3 Å).The electrochemical
device was inserted into the NMR tube, such
that the Li pieces were fully immersed in the electrolyte, forming
a symmetrical lithium cell. A constant current of 0.5 mA was applied
to the cell for 4 h. After 4 h, dendrite formation was clearly visible
in the form of gray material in the electrolyte. The electrochemical
setup with the two metal pieces was removed from the NMR tube, and
the gray fluffy dendrites were left suspended in the electrolyte.
The tube was carefully sealed and taken to the NMR measurements.
NMR Experiments and Data Analysis
NMR measurements
on symmetric battery cells were performed on a Bruker
9.4 T 400 MHz AVANCE III wide bore spectrometer with a static double
resonance probe from NMR Service fit with a 1 cm solenoid coil. 7Li direct excitation experiments were performed with a 13
μs excitation pulse, and CEST experiments were performed using
the sequence in Figure b with a 0.2 s-long saturation pulse at an RF amplitude of 500 Hz.
The recycle delay in all experiments was set to 8 s.
Figure 1
(a) 7Li static
NMR spectra of the metal resonance from
a symmetric battery cell before and after cycling with the LP30 electrolyte.
(b) CEST pulse sequence with a soft saturation pulse applied on site
B followed by an excitation on-resonance with site A. (c) 7Li spectrum of the symmetric battery cell after cycling (gray) and
the spectrum acquired with a saturation pulse of 0.2 s and 500 Hz
on the electrolyte resonance (red).
(a) 7Li static
NMR spectra of the metal resonance from
a symmetric battery cell before and after cycling with the LP30 electrolyte.
(b) CEST pulse sequence with a soft saturation pulse applied on site
B followed by an excitation on-resonance with site A. (c) 7Li spectrum of the symmetric battery cell after cycling (gray) and
the spectrum acquired with a saturation pulse of 0.2 s and 500 Hz
on the electrolyte resonance (red).NMR measurements on dendrite samples were performed on a 9.4 T,
Bruker AVANCE III spectrometer with 400.35 and 155.6 MHz Larmor frequencies
for 1H and 7Li, respectively, using a 5 mm BBI
probe. The pulse duration was calibrated for each measurement separately
(corresponding to a flip angle of 90° of about17 μs). Recycle
delay was set to 8 s, allowing the probe to cool down from the saturation
pulses. The longitudinal and transverse relaxation rates were determined
for the lithium dendrites and the electrolyte using inversion-recovery
and Carr–Purcell–Meiboom–Gill experiments, respectively.
Quantitative measurements were performed by calibrating the excitation
pulse and acquiring the lithium spectrum with a sufficiently long
relaxation delay (compared to the electrolyte relaxation). CEST experiments
were performed with the pulse sequence shown in Figure b. The saturation pulse duration and amplitude
are specified in the different figure captions. In all experiments,
the list of saturation frequencies contained a control experiment
(acquired with saturation at +500 ppm from the lithium metal resonance)
every 10 experiments to monitor the heating due to the RF pulses.
This effect was then accounted for when plotting the CEST Z-spectra. Probe tuning was stable over the entire range
of saturation frequencies.The spectra were initially processed
using Bruker Topspin software
including phase and baseline corrections and peak integration. Further
processing and analysis of the data were carried out in MATLAB (version
2018b).
Results and Discussion
7Li CEST on Bulk Lithium Versus
Dendrites
In order to test the feasibility and optimal setup
for detecting lithium exchange across the metal–electrolyte
interface, measurements were performed on symmetric lithium battery
cells. Symmetric cells were assembled in a PEEK casing suitable for
NMR measurements, as described in the Materials and
Methods section. 7Li NMR spectra were acquired from
the battery cell before cycling and following 24 and 48 h of cycling
(Figure a). The spectrum
acquired for the assembled battery cell displayed a single metal resonance
centered at about 250 ppm. Following 24 h of cycling, a second resonance
of a metallic lithium environment was observed at a slightly higher
frequency, which grew significantly after 48 h of cycling. This environment
corresponds to the formation of lithium dendrites in the battery,
and the shift in its resonance frequency is associated with bulk magnetic
susceptibility (BMS) effects and the different orientations of the
metal strip and dendrites with respect to the external magnetic field.[37,40]The full spectrum of the battery cell after cycling is shown
in Figure c (gray).
In the full spectrum, in addition to the metal resonances, the electrolyte
environments are observed resonating around 0 ppm (the different resonances
and variation in their position are again due to BMS effects for the
electrolyte in different regions of the battery cell[41,42]). Upon contact of the metal electrodes with the electrolyte, spontaneous
electrolyte reduction occurs, which is further exacerbated when fresh
lithium is deposited during electrochemical cycling. These reduction
processes lead to the gradual formation of the SEI.[2,11] The
SEI, which, in LP30, typically contains phases such as LiF, Li2O, Li2CO3, and various polymeric species
all resonating around 0 ppm,[43−45] cannot be sensitively detected
in static NMR measurements in the presence of the dominating electrolyte
resonance. This is due to the sharp and intense contribution of the
electrolyte resonance, characteristic of mobile species in solution,
in contrast to the 7Li resonance of the relatively nonmobile
solid SEI environments. Resonances from the SEI span a broad range
of frequencies due to anisotropic interactions (dipolar couplings
and quadrupole broadening) and short transverse relaxation times.
When the electrolyte was removed, the SEI resonances could indeed
be detected (Figure S2). However, as the
dry SEI will have significantly different permeabilities to lithium
ions,[26] we focus our investigation on the
SEI in its native state, that is, immersed in the electrolyte.For detecting Li exchange across the metal–electrolyte interface,
we have employed the basic pulse scheme of the CEST experiment (Figure b). In order to observe
exchange between two chemical environments A ⇌ B, we first
apply a long soft (low amplitude) pulse aiming to saturate the resonances
of environment B followed by detection of resonance A. If exchange
is taking place at the time scale of the saturation and between sufficiently
large populations in the two environments, it will result in partial
saturation of resonance A and thus reduction in its signal. Results
of these experiments on symmetric battery cells following cycling
are shown in Figure c (red). When saturation was applied at 0 ppm, the electrolyte resonances
were efficiently saturated. Interestingly, although no change was
observed in the bulk metal resonance following saturation, the dendrites
resonance was visibly reduced in intensity. This suggests that the
exchange process, which can be detected with isotope exchange on metal
strips,[22,23] is not leading to sufficient saturation
transfer between the two pools in the case of bulk lithium but can
be detected through its effect on dendritic lithium. We speculate
that this is due to the low surface area of the metal piece which
limits the number of exchange events.The differences between
bulk metal electrodes and dendritic lithium
can be clearly appreciated in experiments performed separately on
metal strips versus dendritic structures. CEST experiments performed
on a lithium piece immersed in the electrolyte within the NMR tube
do not show any effect on the metal resonance when the electrolyte
resonance is fully saturated (Figure a). On the other hand, experiments performed on dendrites
which were grown in the NMR tube (see the Materials
and Methods section and Supporting Information) display a large CEST effect (Figure b). The difference is attributed to the dendrite specific
surface area that is estimated to be 3 orders of magnitude higher
than a piece of metal (see the Supporting Information for details). A 7Li nutation experiment (Figure c) revealed that the entire
dendrite volume was efficiently excited and detected by the RF pulses,
indicating that the thickness of the dendrites was lower than 1–2
μm (the RF penetration depth in lithium metal at 9.4 T).[34] Due to the high surface to bulk ratio offered
by the dendrites, application of the CEST sequence leads to a measurable
decrease in the dendrite resonance following saturation at 0 ppm (where
both the electrolyte and Li in the SEI resonate, Figure b). These experiments clearly
show that dendrites enable detection of Li exchange across the metal
interface with ionic lithium environments resonating at 0 ppm.
Figure 2
(a) 7Li spectrum of a Li metal piece immersed in LP30
(gray) and spectra acquired with a saturation pulse of 1 s and 500
Hz on the metal resonance (blue) and electrolyte resonance (red).
(b) 7Li spectrum of dendrites immersed in LP30 (gray) compared
with the spectrum acquired following a saturation pulse of 0.2 s and
800 Hz on the electrolyte. (c) 7Li nutation experiments
performed on the dendrites.
(a) 7Li spectrum of a Li metal piece immersed in LP30
(gray) and spectra acquired with a saturation pulse of 1 s and 500
Hz on the metal resonance (blue) and electrolyte resonance (red).
(b) 7Li spectrum of dendrites immersed in LP30 (gray) compared
with the spectrum acquired following a saturation pulse of 0.2 s and
800 Hz on the electrolyte. (c) 7Li nutation experiments
performed on the dendrites.To confirm that the reduction in the metal signal is due to Li
exchange, we performed two experiments. In the first, we varied the
RF saturation amplitude B1 irradiating at 0 ppm (−270
ppm from metal) and compared the reduction in the metal signal to
a control experiment where the irradiation was applied at higher frequency
(+270 ppm from the metal). The results, plotted in Figure a, show that in the control
experiment, the metal signal was reduced by up to 10% due to RF heating
of the sample, while with saturation applied in the frequency range
of the electrolyte/SEI resonances, the metal signal was decreased
by 30%. Thus, quantification of the CEST effect (in %) should take
into account RF heating as followsHere,
ΔSmetal is the normalized change
in the metal signal with saturation on
the exchanging pool, resonating at Δω (offset with respect
to the metal frequency Δω = ωsat –
ωmetal), Smetal(Δω),
compared to reference saturation at −Δω. Smetal0 corresponding to the metal signal without saturation.
Figure 3
(a) 7Li integrated intensity of the dendrite resonance
following 0.2 s saturation at +270 ppm from the metal signal (gray,
control) and at −270 ppm (light red). Data were acquired at
323 K. (b) CEST effect quantified at different temperatures.
(a) 7Li integrated intensity of the dendrite resonance
following 0.2 s saturation at +270 ppm from the metal signal (gray,
control) and at −270 ppm (light red). Data were acquired at
323 K. (b) CEST effect quantified at different temperatures.The second confirmation that the observed effect
is due to lithium
exchange is the measured increase in the maximal CEST effect, from
7% to about 25%, observed with increasing the temperature from 298
to 323 K (Figure b).
This increase, which is expected in the case of chemical exchange,
rules out significant contribution from magnetization transfer (MT)
through dipolar interactions. MT would have no or opposite dependence
on temperature due to motional averaging of dipolar interactions.
Identifying the Exchanging Pool of Lithium
Ions
For determining what lithium pool is exchanging with
the lithium metal, the CEST experiment was performed as a function
of the saturation frequency, Δω. Plotting the metal signal
intensity as a function of saturation offset results in the Z-spectra plotted in Figure . Here, Z(Δω) was calculated
using Z(Δω) = Smetal(Δω)/Smetal(Δω
= 500 ppm) (RF heating during the experiment was further accounted
for by control experiments as described in the Materials and Methods
section). The Z-spectrum was acquired at 298 and
323 K (Figure a) and
at 323 K at increasing saturation amplitude. In all spectra, we can
see significant direct saturation effects of the Li dendrite signal
corresponding to the reduction in signal intensity when the saturating
pulse is around Δω = 0. The CEST effect corresponds to
the reduction in metal signal when saturating at frequencies centered
around 0 ppm (Δω = −270 ppm). As observed before,
the magnitude of the effect increases with temperature (Figure a) and RF saturation amplitude
(Figure b). Finally,
we compare the Z-spectrum obtained when detecting
the dendrite resonance at 270 ppm with that obtained when detecting
the electrolyte resonance at 0 ppm (Figure c). This comparison reveals that the CEST
effect is originating from exchange with a broad resonance spanning
50–100 ppm, extending beyond the range in which the electrolyte
resonance is saturated. Furthermore, the electrolyte resonance was
not affected by the saturation on the dendrite resonance. Finally,
as observed in Figures b and 4b, the CEST effect on the dendrites
was increasing with saturation amplitude, while the electrolyte signal
could be easily saturated with low RF amplitudes (see Figure S7). These observations strongly suggest
that the electrolyte does not contribute to the observed CEST effect
and that the detected exchange process is between the dendrites and
a broad diamagnetic Li resonance centered around 0 ppm (with width
comparable to the SEI resonance observed in the 7Li spectrum
measured from cycled and dried Li electrodes, Figure S2). The only Li pool that can lead to the observed
CEST results is lithium ions stored in solid SEI layers which are
undetectable by static NMR measurements in the presence of the electrolyte.
Thus, the CEST experiment allows us to increase the sensitivity in
detecting the SEI environments and provides a way to probe the exchange
process between the SEI and the Li metal. Furthermore, these results
highlight the advantage of employing CEST on a pure dendrite system
which does not contain bulk lithium. This enables us to examine in
detail the process of metal-SEI Li exchange and develop the 7Li-CEST methodology in a quantitative manner. This would be more
challenging in a sample containing bulk lithium electrodes where the
bulk Li and dendrite resonances can partially or fully overlap (see Figures c and S3). It is thus beneficial to remove the lithium
electrodes as they reduce the overall CEST effect when they overlap
with the dendrite resonance (see Figure S6).
Figure 4
Z-spectra acquired from the dendrite signal in
the LP30 electrolyte with 0.2 s saturation (a) at different temperatures
with 500 Hz power, (b) at 323 K with varying saturation power, and
(c) comparing the Z-spectrum of the dendrites and
electrolyte at 323 K, 0.2 s saturation at 500 Hz.
Z-spectra acquired from the dendrite signal in
the LP30 electrolyte with 0.2 s saturation (a) at different temperatures
with 500 Hz power, (b) at 323 K with varying saturation power, and
(c) comparing the Z-spectrum of the dendrites and
electrolyte at 323 K, 0.2 s saturation at 500 Hz.
Functionality of the SEI
As the CEST
effect provides insights into the exchange between lithium dendrites
and the SEI formed on them, it opens the way for evaluating the functionality
of the SEI as an ion conductor. To this end, we compared the SEI formed
in three different electrolytes using the 7Li CEST approach.
In addition to LP30, dendrites were grown in LP30 with a 10% FEC additive
(labeled LP30/FEC) and 1 M lithium bis(trifluoromethanesulfonyl)imide
(LiTFSI) in a 1:1 mixture of dimethoxyethane (DME) and dioxalane (DOL)
(labeled LiTFSI/DME/DOL). The same protocol (see the Materials and
Methods section) was used to grow the dendrites in the three electrolytes,
and they were then studied with 7Li CEST as described above.
These electrolytes were chosen as they are often employed and evaluated
based on their electrochemical performance and in lithium exchange
experiments.[23,46−48] As we will
show, the 7Li CEST approach allows us to compare these
electrolyte systems purely based on the effectiveness of their SEI
as an ion conductor. This property cannot be simply extracted on its
own from EIS or isotope exchange data. Both methods reflect, in addition
to the metal–SEI transport, the effects of lithium desolvation
and transport processes across the electrolyte–SEI interface,
which would not affect our CEST measurements.The experimental Z-spectra of the three electrolytes at 298 and 323 K at
varying saturation amplitudes are shown in Figure a–c. Visual examination of the CEST
profiles shows that, as observed for LP30, the effect increases with
temperature. Qualitative comparison of the results suggests that adding
FEC significantly increases the CEST effect (with a decrease in the
metal signal by 40% compared to 30% without the additive), while the
ether-based electrolytes lead to the lowest CEST effect.
Figure 5
Experimental Z-spectra (circles) acquired from
dendrites grown and immersed in (a) LP30, (b) LiTFSI/DME/DOL, and
(c) LP30/FEC as a function of saturation amplitude with a 0.2 s saturation
pulse at 298 and 323 K. Data were fitted (solid lines) by solving
the two-pool BMC equation. Fit parameters are given in Table .
Experimental Z-spectra (circles) acquired from
dendrites grown and immersed in (a) LP30, (b) LiTFSI/DME/DOL, and
(c) LP30/FEC as a function of saturation amplitude with a 0.2 s saturation
pulse at 298 and 323 K. Data were fitted (solid lines) by solving
the two-pool BMC equation. Fit parameters are given in Table .
Table 2
Experimental Relaxation Parameters
and Fit Parameters Obtained from Two-Pool BMC Solution with Fixed fSEI = 0.02a
temperature (K)
R1,metalexp (Hz)
R2,metalexp (Hz)
kSEI–metal (Hz)
R2,metal (Hz)
R2,SEI (kHz)
GOF (R2)
LP30
298
6.9
1750
64 ± 6
1395 ± 37
20 ± 9
0.85
310
7.4
805
143 ± 8
709 ± 21
33 ± 8
0.86
323
8
380
285 ± 13
393 ± 13
27 ± 8
0.86
LiTFSI/DME/DOL
298
6
1515
43 ± 5
1312 ± 29
30 ± 14
0.87
323
7.8
360
141 ± 8
314 ± 11
38 ± 9
0.81
LP30/FEC
298
7
1670
91 ± 9
1456 ± 51
28 ± 13
0.75
323
7.5
353
337 ± 18
397 ± 18
48 ± 8
0.74
Uncertainties correspond to the
95% confidence interval of the nonlinear least-squares fitting procedure.
Quantification of the CEST Effect
In order to quantify
the differences between the three systems, the
Z-spectra were fitted using solutions to the two-pool Bloch-McConnell
(BMC) differential equation.[49−51] Here, the BMC equation describes
the evolution of the magnetization under the effect of relaxation
and RF saturation in the presence of an exchange process between the
dendrite pool and the SEI pool with rates given bywhere kmetal–SEI and kSEI–metal are the forward
and backward exchange rates, respectively, and fSEI corresponds to the ratio between the SEI and dendrite pool
concentrations. Separating the exchange rate from the concentration
of the exchanging pools requires simultaneous fitting of multiple
B1Z-spectra.[52−56]Comparison of the numerical solution[50] with the analytical solution[51] (see details in the Supporting Information) to the BMC equation on one set of data revealed that they provide
similar results. Thus, the data were fitted with the computationally
efficient analytical solution which was previously validated on other
exchanging systems.[44−49] This approach is valid under the assumption of a small SEI pool
(fraction fSEI ≪1) with negligible
longitudinal relaxation compared to its transverse relaxation and
exchange rates, R1,SEI ≪ R2,SEI, kSEI–metal. Next, the results from the different electrolyte systems were fitted
while using as input the multiple Z-spectra, acquired
with varying saturation amplitude B1, and the dendrite 7Li longitudinal relaxation rate. In general, the fits provided
four output parameters that were optimized by simultaneous least-squares
fitting of the Z-spectra at multiple B1: kSEI–metal, fSEI, and the transverse relaxation rates of the two pools R2,SEI and R2,dendrites, with starting values and boundaries specified in Table . R2,dendrites was also measured experimentally and was used to validate the results
of the fits. First, we tested the results with all four fitting parameters
free, which resulted in goodness of fit (GOF) values between 0.75
and 0.87 for the different systems and temperatures, with a relatively
low GOF of 0.72 for the LP30/FEC system at 298 K (see the Supporting Information). To improve the fits
and as the value of fSEI did not vary
much between data sets, its value was fixed to 0.02. This resulted
in slight improvement in the GOF across all data sets. Additional
fitting procedures were tested including expanding the number of exchanging
pools to account for the heterogeneity of the SEI; however, these
did not lead to significant differences in the results (see the Supporting Information for further details).
Table 1
Fitting Parameters and Boundaries
parameter
starting value
lower boundary
upper boundary
Δωmetal [ppm]
0
–10
10
R2,metal [1/s]
2
0.2
4 × 104
ΔωSEI [ppm]
–300
–400
–200
fSEI
0.0001
0.0000
9.0000
kSEI–metal [Hz]
1000
1
106
R2,SEI [1/s]
50
0
5 × 104
Despite some missing substructure, the rather simple
fit model
described above clearly tracks the experimental data, and especially
its B1 dispersion, as can be seen in Figure a–c. The fitting parameters are summarized
in Table . The simulations reproduce very well the direct saturation
effect on the dendrites, as well as the decrease in the width of the
effect with increasing temperature, due to the lower metal transverse
relaxation rates R2,dendrites (which match
well the experimentally measured values). They also capture the breadth
of the SEI resonance which is increasing with temperature, as reflected
by the increase in transverse relaxation rate R2,SEI (and fits rather well the breadth of the 7Li resonance from the dry SEI, Figure S2). Finally, the fits clearly show differences in the lithium kSEI–metal rates measured in different
systems.Uncertainties correspond to the
95% confidence interval of the nonlinear least-squares fitting procedure.
Interpretation
of CEST Profiles and Comparison
of Different SEI Systems
We now turn to discuss what information
can be gained from the CEST experiment and its analysis. Fitting the
CEST profiles provides a direct measure of the SEI properties: this
is reflected in the two parameters kSEI–metal and fSEI which together simply correspond
to the efficiency of the SEI as an ion conductor. The higher these
numbers are, the better the SEI should be in terms of its ability
to conduct lithium ions between the electrode and the electrolyte.
In principle, fSEI, which corresponds
to the size of the SEI pool, compared with the dendrite pool, can
inform us about the density of the SEI on the metal, that is, a higher
fraction suggests denser SEI layers or higher coverage of the metal.
As we used a simplified two pool model to represent the heterogeneous
SEI, interpretation of R2,SEI is limited
since it corresponds to an average property of the different interphases.
Nevertheless, its increase with temperature may be interpreted as
increased exchange within the SEI phases, leading to overall higher
contribution from the different interphases and thus broadening of
the CEST effect.In order to compare the different electrolytes
through the fitted kSEI–metal,
we have to take into account the amount of dendrites formed in each
system. All samples were prepared with the same protocol, passing
the same amount of current through the cell. However, the passed charge
may distribute differently between the various processes occurring
during galvanostatic cycling: smooth lithium plating, SEI growth,
and dendrite formation. Therefore, to compare between different electrolyte
systems, the exchange rates have to be normalized by the moles of
dendrites collected in the NMR tube. Here, we make use of the quantitative
nature of NMR and the ability to uniformly excite the dendrite resonance.
Comparing the area of the dendrite resonance with the known amount
of lithium contributing to the electrolyte resonance (taking into
account longitudinal relaxation and the excitation bandwidth of the
pulses), we are able to calculate the moles of dendrites formed (ndendrites), which is the highest in LiTFSI/DME/DOL,
followed by LP30 and finally LP30/FEC (see the Supporting Information). Using this result, we are able to
obtain a comparable measurement of the permeability of the SEI through KSEI–metal = kSEI–metal/ndendrites which is shown in Figure . We note that in
this comparison, we assumed that the entire dendrite pool is taking
part in the exchange process, meaning that we neglect any effects
that may arise due to different dendrite morphologies (further discussion
about this assumption and the exchange active surface area of the
dendrites can be found in the Supporting Information). These results clearly show that the SEI formed with the FEC additive
is much more permeable than that formed on LP30, with the ether system
leading to the slowest exchange rates across the metal–SEI
interface. This fits well the improved performance typically reported
for Li metal cycled with FEC containing electrolytes.[23,48,57,58] This is often attributed to a more compact and multilayered SEI
with increased formation of LiF domains at the SEI–metal interface.[46,47,59]
Figure 6
Exchange rates per mole of dendrites obtained
from the two-pool
BMC fit of the Z-spectra of dendrites grown in different
electrolytes acquired with 0.2 s saturation at variable power at 298,
310, and 323 K (full Z-spectra and fits are shown
in the Supporting Information).
Exchange rates per mole of dendrites obtained
from the two-pool
BMC fit of the Z-spectra of dendrites grown in different
electrolytes acquired with 0.2 s saturation at variable power at 298,
310, and 323 K (full Z-spectra and fits are shown
in the Supporting Information).Finally, the ability to determine the exchange rate at different
temperatures allows us to calculate the activation energy for Li transport
from the SEI to the metal, using the Arrhenius equation. Here, we
performed this process for LP30 and extracted an activation barrier
of 47 ± 2 kJ/mole corresponding to 0.47 ± 0.02 eV for Li
transport. This value falls within the predicted calculated range
for lithium migration in various inorganic SEI components,[15] in particular, Li2CO3,
which is likely a major component formed with the LP30 electrolyte.
We believe that this is the first direct determination of the energy
barrier for the SEI in its native form. Previous exchange experiments
performed on the partially dried SEI yielded similar values for ether-based
electrolytes (0.16 ± 0.07).[25] Our
exchange rate measurements for the ether-based system at two temperatures
also suggest a slightly lower activation barrier in this electrolyte
compared to LP30; however, additional temperature measurements would
be required to determine an accurate value. We note that the energy
barrier for exchange is the most relevant property when comparing
lithium transport across the SEI under cycling, while the value of
the exchange rate will change under electrochemical conditions.
Conclusions
Lithium CEST was introduced
for the first time as a means to measure
ionic exchange across solid–solid interfaces. The approach
is straightforward to apply, requires a minimal experiment time (compared
to 2D exchange spectroscopy), and provides a simple way to qualitatively
compare different SEI and electrolyte systems. Established numerical
and analytical Bloch-McConnell models can be extended to Li CEST and
used to quantitatively determine the exchange parameters of the system.The implementation of the approach to lithium dendrites provided
a highly reproducible setup, which allowed us to carefully examine
the factors affecting the CEST measurements and their quantitative
analysis. This setup enabled comparison of the SEI permeability of
three common electrolyte systems with clear superiority observed when
FEC is used as an additive. Thus, CEST measurements provided evidence
that the often-reported improvement in electrochemical performance
observed with FEC is due to its positive SEI properties. As such,
Li-CEST emerges as an efficient approach to design new electrolytes
which would give rise to beneficial SEI layers.Our preliminary
investigations suggest that the CEST approach can
also be employed in Li–metal battery cells, providing qualitative
comparison between systems, which can possibly be made quantitative
provided sufficient spectral separation is obtained between the bulk
and dendritic lithium resonances. Finally, we expect that this approach
can be easily extended to probe ion exchange in other metal electrodes
such as sodium and, depending on the available sensitivity, also magnesium
and zinc.
Authors: S Chandrashekar; Nicole M Trease; Hee Jung Chang; Lin-Shu Du; Clare P Grey; Alexej Jerschow Journal: Nat Mater Date: 2012-02-12 Impact factor: 43.841
Authors: Yuzhang Li; Yanbin Li; Allen Pei; Kai Yan; Yongming Sun; Chun-Lan Wu; Lydia-Marie Joubert; Richard Chin; Ai Leen Koh; Yi Yu; John Perrino; Benjamin Butz; Steven Chu; Yi Cui Journal: Science Date: 2017-10-27 Impact factor: 47.728
Authors: Kevin N Wood; Eric Kazyak; Alexander F Chadwick; Kuan-Hung Chen; Ji-Guang Zhang; Katsuyo Thornton; Neil P Dasgupta Journal: ACS Cent Sci Date: 2016-10-14 Impact factor: 14.553