Matthew R Roberts1, Alex Madsen2, Chris Nicklin3, Jonathan Rawle3, Michael G Palmer2, John R Owen2, Andrew L Hector2. 1. Chemistry, University of Southampton , Southampton SO17 1BJ, U.K. ; Department of Materials Chemistry, Uppsala University , Uppsala, Sweden. 2. Chemistry, University of Southampton , Southampton SO17 1BJ, U.K. 3. Diamond Light Source, Harwell Science and Innovation Campus , Didcot OX11 0DE, U.K.
Abstract
The phase changes that occur during discharge of an electrode comprised of LiFePO4, carbon, and PTFE binder have been studied in lithium half cells by using X-ray diffraction measurements in reflection geometry. Differences in the state of charge between the front and the back of LiFePO4 electrodes have been visualized. By modifying the X-ray incident angle the depth of penetration of the X-ray beam into the electrode was altered, allowing for the examination of any concentration gradients that were present within the electrode. At high rates of discharge the electrode side facing the current collector underwent limited lithium insertion while the electrode as a whole underwent greater than 50% of discharge. This behavior is consistent with depletion at high rate of the lithium content of the electrolyte contained in the electrode pores. Increases in the diffraction peak widths indicated a breakdown of crystallinity within the active material during cycling even during the relatively short duration of these experiments, which can also be linked to cycling at high rate.
The phase changes that occur during discharge of an electrode comprised of LiFePO4, carbon, and PTFE binder have been studied in lithium half cells by using X-ray diffraction measurements in reflection geometry. Differences in the state of charge between the front and the back of LiFePO4 electrodes have been visualized. By modifying the X-ray incident angle the depth of penetration of the X-ray beam into the electrode was altered, allowing for the examination of any concentration gradients that were present within the electrode. At high rates of discharge the electrode side facing the current collector underwent limited lithium insertion while the electrode as a whole underwent greater than 50% of discharge. This behavior is consistent with depletion at high rate of the lithium content of the electrolyte contained in the electrode pores. Increases in the diffraction peak widths indicated a breakdown of crystallinity within the active material during cycling even during the relatively short duration of these experiments, which can also be linked to cycling at high rate.
Lithium
ion batteries are the power source of choice for most mobile
electronic devices.[1−3] These systems generally work using the insertion
and removal of lithium ions into host materials, resulting in redox
and structural changes during the electrochemical cycling. LiFePO4 adopts the olivine structure type ((Mg,Fe)2SiO4, orthorhombic),[4−12]with FeO6 corner-linked octahedra in the bc plane and LiO6 octahedra forming edge-sharing chains
on the b axis. Hence the Li+ ions reside
within 1D channels, allowing their extraction and insertion during
charge and discharge via the reaction shown in Figure 1.
Figure 1
Equation for charge and discharge of LiFePO4 and structural
diagrams of the LiFePO4 and FePO4 active materials
with iron atoms shown in orange, small gray phosphorus atoms, large
blue lithium atoms, and red oxygen atoms. Both structures adopt space
group Pnma, with lattice parameters of a = 10.3290(3) Å, b = 6.0065(2) Å, and c = 4.6908(2) Å for LiFePO4 and a = 9.8142(2) Å, b = 5.7893(2) Å,
and c = 4.7820(2) Å for FePO4.[13]
Equation for charge and discharge of LiFePO4 and structural
diagrams of the LiFePO4 and FePO4 active materials
with iron atoms shown in orange, small gray phosphorus atoms, large
blue lithium atoms, and red oxygen atoms. Both structures adopt space
group Pnma, with lattice parameters of a = 10.3290(3) Å, b = 6.0065(2) Å, and c = 4.6908(2) Å for LiFePO4 and a = 9.8142(2) Å, b = 5.7893(2) Å,
and c = 4.7820(2) Å for FePO4.[13]The discharge profile is characterized by a flat plateau
at 3.45
V vs Li. This flat potential discharge reaction is characteristic
of the coexistence of two phases, LiFePO4 and FePO4, each having a narrow compositional stability range in contrast
with nonstoichiometric electrode materials such as LiCoO2 that generally show sloping profiles.The first in situ X-ray diffraction (XRD) study of LiFePO4 was presented by Andersson et al. using a “coffee bag”
type cell.[13] This cell can be placed directly
in the X-ray beam and diffraction is observed in transmission mode
through the coffee bag. The study clearly showed the phase change
reaction and monitored the growth of the heterosite (FePO4) phase as the triphylite (LiFePO4) phase diminishes during
charge, with the reverse occurring on discharge. The intensities of
the peaks were found to be in good agreement with those anticipated
from the charge passed during cycling. Several other designs for in
situ diffraction studies have since been reported[14,15] including a recent study that characterized a meta stable new phase
formation at high rates in large particle size LiFePO4.[16]Since some of the first commercial uses
of LiFePO4 have
emerged for high power applications such as power tools,[17] many different preparations of LiFePO4 have been explored to improve the material’s performance
in order to allow for practical use at high rates. These have focused
on control of its particle size, doping on the Li and Fe site, and
various coating methodologies.[18−39] These strategies have been largely successful on the particle and
agglomerate levels, reducing solid state diffusion times, phase boundary
strain, and electronic resistance.Given the above successes
in improving the discharge of single
particles and agglomerates such that intraparticle equilibration processes
are not rate limiting, attention has recently focused on the effects
of ion transport restrictions in composite electrodes containing dispersed
active material, an electron conducting additive, and electrolyte.
In the case where electronic conductivity is not rate limiting, discharge
should begin at the electrode/separator interface where ion transport
restrictions are at a minimum. With nonstoichiometric electrode materials,
where the equilibrium potential decreases continuously with discharge,
the progression of discharge from the front to the back of the electrode
can be described by ambipolar diffusion of lithium ions and electrons
according to the DeLevie description of a porous electrode.[40] Here the active material is represented by a
series of capacitances distributed along the electrode thickness.
These are connected to the bulk electrolyte through the infused electrolyte
within the pores, and to the current collector via the electron conducting
additive, so that parts of an electrode that are at different states
of charge are continuously equilibrated during discharge. The interface
between charged and discharged material is diffuse, and further diffusion
occurs after the current has been switched off. Importantly, the driving
force for ambipolar diffusion is the increase in the potential with
the state of charge. This is notably absent in the case of stoichiometric
materials such as FePO4/LiFePO4 where the potential
is constant for most of the composition range, as shown by a long
plateau in the discharge curve. Ambipolar (ion-electron) diffusion
should not occur in these materials; instead, the interface between
charged and discharged parts of the electrode should be linked directly
to the passage of charge and should stop moving once the current stops
despite the sharp change in the average concentration of lithium.
We recently described this phenomenon as the sharp discharge front
(SDF) effect,[41] and supported our hypothesis
with electrochemical discharge data that responded to changes of electrolyte
conductivity and salt diffusion as predicted, but previously had no
direct evidence for the distribution of discharged material within
the electrode.The above example cites just one case among many
where a direct
observation of the profile of the extent of discharge with depth into
the electrode thickness could provide valuable insight into the discharge
process and verification of simulated discharge phase profiles. In
situ neutron depth profiling can resolve variations in lithium concentration
through the thickness of an electrode via the energy profile of α
particles formed as a result of neutron capture by 6Li.[42] Cross-sectional imaging by neutron absorption[43] or TEM[44] can also
provide valuable information on variations through the electrode.
The use of X-ray diffraction allows direct observation of the phase
distribution of the active materials during charge and discharge.
This information is different from the lithium distribution, which
would include any lithium in the electrolyte, and can be collected
rapidly in situ providing the possibility of time resolution. Variation
of the incidence angle provides a depth sensitivity as absorption
of X-ray photons results in a limited path length so with low incident
angles the diffraction signal comes largely from close to the surface.
The LiFePO4/FePO4 system provides a model composite
electrode, which should provide a sharp and controllable discharge
front.
Experimental Section
Positive electrodes
for in situ cycling were formed by mixing appropriate
amounts of carbon-coated LiFePO4 (Hydro-Quebec) and acetylene
black conducting additive (Shawinigan Black), then mixing in a polytetrafluoroethylene
(PTFE) binder (6C–N, DuPont). The resulting mixture was calendared
to a controlled film thickness of 100 μm and punched to produce
circular electrodes with a diameter of 8 mm. The electrodes were dried
overnight at 120 °C under vacuum, before being transferred to
an argon-filled glovebox. Two compositions of LiFePO4 electrodes
were used for the testing: (a) 50% LiFePO4, 40% acetylene
black, and 10% PTFE by mass and (b) 25% LiFePO4, 60% acetylene
black, and 15% PTFE by mass.Electrochemical cycling used a
BioLogic SP-150 potentiostat. Currents
were calculated to achieve complete charge or discharge in a fixed
time period based on theoretical capacity, e.g. C/2 = complete charge
or discharge in 2 h and 2C = 0.5 h. Scanning electron microscopy (SEM)
used a Jeol JSM-6500 FEGSEM with 15 kV accelerating voltage and secondary
electron imaging—powders or whole electrodes were mounted on
conducting carbon tape and imaged without any further coating. Initial
XRD patterns were collected with a Bruker D2 Phaser (Cu Kα X-rays)
and Rietveld refinement of the data used the GSAS package.[45]
In Situ Electrochemical
Cell
The
electrochemical cell used for the in situ work is based on the commonly
used Swagelok cell design and therefore consists largely of cheap,
commercially available parts. This cell can be constructed readily
in any laboratory and does not require the use of specialized equipment
or the use of toxic berylliummetal windows. The few bespoke parts
used in its assembly are easily fabricated with use of basic tools.
Furthermore, it is simple to assemble and clean after use, and the
positive current collector, which doubles as the X-ray window, is
disposable and easily replaced. The cell consists of three main sections
as shown schematically in Figure 2a and as
a photograph in Figure 2b: (1) A 12 μm
thick aluminum foil acts as the positive current collector. This was
attached to a stainless steel washer with black silicone rubber adhesive
(Loctite Type 5910—–this was found to be inert in the
environment of an operational cell). The washer was similarly attached
to the Swagelok nut used to seal the cell. (2) A 12.7 mm diameter
stainless steel piston was used as the negative current collector.
This was placed under tension with a steel spring held in place with
a 12.7 mm diameter stainless steel rod, the bottom of which was machined
to fit into a standard goniometer head for mounting onto the beamline.
(3) PTFE sheaths, ferrules, and a nut sealing the bottom of the cell
were used to avoid short-circuits, including during handling of the
cell.
Figure 2
(a) Schematic and (b) image of the electrochemical cell used in
the in situ XRD studies.
(a) Schematic and (b) image of the electrochemical cell used in
the in situ XRD studies.The cell was loaded in an argon filled glovebox with O2/H2O < 5 ppm. The layered battery assemblies
consisted
of a composite positive electrode, two electrolyte-soaked 12.7 mm
diameter separators (Whatman GF/F grade glass fiber with eight drops
of 1.0 mol dm–3 LiPF6 in 1:1 ethylene
carbonate/dimethyl carbonate (Novolyte Technologies)) and a lithiummetal negative electrode formed by compressing lithium (99.9%, Aldrich)
into a hemispherical mold and punching to a diameter of 11 mm. The
shaped lithium negative electrode allowed an even pressure to be applied
across the diameter of the stack, countering the effect of deformation
of the aluminum window under pressure and allowing a similar electrochemical
performance to be achieved to that observed with the same electrode
material in a standard Swagelok cell with flat electrodes.
In Situ XRD Methodology
To study
the electrode composition as a function of depth and state of charge
the diffraction geometry shown schematically in Figure 3 was used. The sample was mounted on the hexapod stage at
beamline I07 of the Diamond Light Source with use of an insulating
mount and visually centered in the XY plane such that the highest
point on the curved surface of the window was aligned with the center
of the diffractometer cirles. The X-ray beam height was approximately
80 μm and a scan in the vertical direction monitoring the direct
beam intensity was used to position the sample such that the beam
center was level with the top of the 100 μm thick positive electrode.
Hence 40 μm of the beam passed through the back of the sample
with 0° incidence angle and 60% of the electrode (the part facing
the separator and negative electrode) was not contributing to the
observed XRD pattern. The sample was then tilted to increase the incidence
angle and the penetration depth into the electrode. Additional information
about sample mounting on the beamline is included in the Supporting Information.
Figure 3
Schematic showing the
effect of changing the angle of incidence
on the penetration of the 80 μm high X-ray beam into the positive
electrode at 0° (left) and 4° (right) angle of incidence.
Schematic showing the
effect of changing the angle of incidence
on the penetration of the 80 μm high X-ray beam into the positive
electrode at 0° (left) and 4° (right) angle of incidence.In situ XRD patterns were collected
with 20 keV beam energy (λ
= 0.620 Å) and an exposure time of 1 s using a Pilatus 100K area
detector at a camera length of 497 mm such that a ∼7°
range could be collected in a single frame with high resolution. This
restricted the accessible 2θ range but facilitated fast acquisition
times so that the phase change reaction could be observed at high
rates. Data were continuously collected with a series of different
incidence angles between 0 and 6°, although ultimately the analysis
focused on data collected at 0 and 4°. Collecting 1 s patterns
at 0, 0.5°, 1°, 2°, 3°, 4°, and 6° incidence
angles resulted in a 20 s cycle of measurements (patterns could be
recorded with acceptable quality in 0.1 s but the sample position
adjustment to effect the different angles of incidence was the rate
limiting step). The peak width was between 0.05° and 0.06°
at both incidence angles hence the variation in peak width with incident
angles was not found to be significant. With a battery performing
to theoretical capacity at our fastest rate of 20C under these conditions
9 patterns could be collected at each angle during the 3 min discharge.
The peak heights of the most intense Bragg reflections for LiFePO4 at 15.7° and FePO4 at 16.3° were then
used to provide a measure of the electrode phase composition at each
angle of incidence. This structural change was correlated to the state
of charge by using time stamps in both the electrochemical and XRD
data files. The peak heights were extracted by using a MATLAB macro
with a baseline correction. Strictly peak area is proportional to
the phase fraction, but since peak widths of the LiFePO4 and FePO4 phases were similar in any given pattern the
intensity was taken as a good indication of the relative phase contents.
Results and Discussion
Commercially sourced
LiFePO4 was used in this work to
take advantage of its optimized performance, achieving a capacity
of approximately 150 mA h g–1 with a good cycle
life and rate capability.[39] Powder XRD
studies showed it to contain single phase LiFePO4 (Supporting Information, Figure S1). Rietveld
refinement by using the standard triphylite model in space group Pnma resulted in a good fit with a = 10.32227(12)
Å, b = 6.00341(6) Å, and c = 4.69092(7) Å, similar values to those described in the literature.[13] To obtain a good fit it was necessary to employ
a preferred orientation parameter allowing for a small increase in
intensity along ⟨010⟩ (March–Dollase preferential
orientation ratio of 0.9105(12) along ⟨010⟩). The SEM
(Figure S1, Supporting Information) showed
well-formed crystallites that are slightly elongated along one axis
and with an approximate size of 200 nm. Since preferred orientation
is only being observed along one axis it is likely that the large
flat face observable on some crystallites is becoming aligned with
the XRD sample surface during sample preparation and that this face
is the {010} plane of the crystallites.
In Situ
XRD with Slow Charge/Discharge
Figure 4 shows XRD patterns obtained during
the slow (C/2) charge and discharge of a LiFePO4 half cell.
The electrochemical response is characteristic of the coexistence
of two phases with a flat plateau observed in the voltage capacity
profile during charge and discharge.[37,46] In the fully
discharged (or as-constructed) state the characteristic triphylite
LiFePO4 phase can be clearly identified and as expected
after charging (due to the near theoretical capacity extraction) a
complete conversion to the heterosite FePO4 phase was observed.
In the partially charged or discharged condition we can clearly observe
a mixture of these two phases in the diffraction data with the phase
contributions to the pattern corresponding to the state of charge
(specifically peaks at 16.2° and 13.7° corresponding to
LiFePO4 and those at 15.7° and 13.6° pertaining
to FePO4). It can be observed that peak overlap is quite
limited due to the narrow XRD reflections and the significant differences
in lattice parameters between the LiFePO4 and FePO4 phases.
Figure 4
Charge and discharge curve for LiFePO4 at a
rate of
C/2 with stacked diffraction patterns (4° incident angle) showing
the linked structural changes between the LiFePO4 and FePO4 phases.
Charge and discharge curve for LiFePO4 at a
rate of
C/2 with stacked diffraction patterns (4° incident angle) showing
the linked structural changes between the LiFePO4 and FePO4 phases.A significant enhancement
in the 020 reflection relative to the
expected intensity distribution based on the literature powder patterns[13] is observed in both LiFePO4 and FePO4, a larger elongation of the 020 reflections than observed
in the powder pattern of the starting material (Figure S1, Supporting Information). Here the calendaring
process used to make the electrodes is likely to have induced this
orientational effect. Importantly the degree of 020 preferred orientation
was observed to be very similar in LiFePO4 and FePO4 due to the topotactic transformation between them.
Interpretations of the Discharge Curves at
Low and High Discharge Rates
The discharge performance of
the batteries constructed for in situ testing using 25% and 50% active
material with rates between 2 and 20 C is summarized in Figure 5b,d (a constant charging rate of 2C was used for
all experiments irrespective of the discharge rate to ensure the condition
of the electrode at the start of discharge was as similar as possible).
At relatively slow rates of discharge a characteristic flat discharge
plateau was observed around 3.45 V vs Li in both cases.[38] As the rate was increased the discharge changes
to a negative gradient linear profile as noted in our previous publication[41] and explained by an Ohmic potential drop in
the electrolyte within the composite electrode to the nearest delithiated
particle, increasing with the distance from the separator to the discharge
front. Discharges at rates greater than 5 C showed sharp end points
at capacities well short of those obtained at low rates, similar to
our previous work[40] where an explanation
was given in terms of severe lithium salt polarization at high rates
due to a low lithium ion transference number. For electrodes containing
only 25% and 50% LiFePO4 (used in this work to ensure that
X-rays could pass from the front to the back of the electrode without
total absorption during the penetration path length) the capacity
was well maintained up until rates of around 10C (Figure 5a,c), with a slight reduction in capacity easily
explained by premature termination of the discharge resulting from
an arbitrary choice of potential limit that did not account for the
discussed increase in IR drop. At rates greater than 10C we observed
that sharp end points are reached which are premature of that anticipated
entirely from IR drop and were hence consistent with the electrolyte
limitation discussed earlier. The good retention of capacity at high
rates observed in these electrodes results from a reduced amount of
LiFePO4; we chose relatively dilute amounts of active material
to ensure that X-rays could pass from the front to the back of the
electrode without total absorption during the penetration path length.
If we assume that at the highest rates the electrodes are discharging
under the SDF model discussed in our previous work[41] then we can calculate effective diffusion coefficients
of lithium ions in both electrodes using eq 1.where
DoD is the degree of discharge, f is C rate, [LiX]0 is the concentration of salt
ions in the electrode, T– is the
transport number (assumed to be 0.3 in this case[41]), [Li] is the concentration of Li ions stored in the active
material within the electrode, D is the diffusion
coefficient, and L is the thickness of the electrode.
Figure 5
Electrochemical performance of 25% (a, b) and 50% LiFePO4 (c, d) electrodes shown as electrode capacity retention as a function
of rate (left) and discharge capacity vs potential (right). Slow charging
rates and constant voltage top up periods were used to ensure full
charging of the battery.
The effective diffusion coefficients for the salt in these structures
were found to be 1.7 × 10–10 and 2.2 ×
10–10 m2 s–1 for the
25% and 50% electrodes, respectively. These values are significantly
larger than we reported for an electrode with 75% active material
in our previous work (∼10–11) and can be
explained by increased porosity and a lower tortuosity of the diffusion
paths.Electrochemical performance of 25% (a, b) and 50% LiFePO4 (c, d) electrodes shown as electrode capacity retention as a function
of rate (left) and discharge capacity vs potential (right). Slow charging
rates and constant voltage top up periods were used to ensure full
charging of the battery.Based on the electrochemical performance an almost complete
discharge
of the cell at all rates is likely for the electrode containing 25%
active material and therefore relatively small concentration gradients
should be observed. For the 50% active material electrode much larger
gradients are likely to be observed, especially at high rates.
Structural Changes As a Function of Depth
in the Electrode
During the electrochemical measurements
presented in Figure 5, XRD patterns were collected
at a number of incidence angles to probe the structural changes as
a function of state of discharge rate. Our analysis focuses on data
collected at 0 and 4°. Grazing incidence XRD is widely used to
increase the effective sample thickness in the study of thin films.[47] Applying this technique to battery electrodes
can provide an effective method to profile any differences in phase
behavior as a function of depth in the electrode by varying the proportion
of the signal that is scattered from the side on which the beam impinges.
The absorption of X-ray photons is a significant consideration in
this geometry as with a 4° incidence angle the path length through
the electrode will be increased from the 100 μm electrode thickness
to ∼1400 μm. Based on calculated X-ray absorption characteristics
of the electrode components (Supporting Information, Table S1) only about 6% of photons are expected to reach the front
face of the electrode so the observed phase concentrations will be
significantly biased toward contributions from material close to the
current collector. The battery could be assembled the other way up
to reverse this bias, but that geometry would also contain a compromise
in that the beam would have to pass through the negative electrode
and the separator, which would increase the contribution to the diffraction
patterns from these components. Importantly the absorption profiles
of the two electrode compositions discussed herein are similar (Table
S1, Supporting Information) and so direct
comparisons between their behavior can be made, while keeping in mind
the bias in the data toward the back of the electrodes. The intensity
of the 020 reflection of FePO4 is approximately equal to
that of the 020 + 211 reflections of LiFePO4 in an equimolar
mixture of these phases, hence the intensities of these reflections
were used as a semiquantitative measure of the content of the relevant
phase. Figure 6 shows the variation in the
phase fraction of FePO4 based on the intensity of the 020
reflection during discharge at various rates. As expected the intensity
changes occur over shorter time periods as the discharge rate is increased.
With 25% active material in the electrode the intensity profile at
all rates is similar using a 0 or 4° incidence angle. It is striking,
however, that these profiles diverge with 50% active material and
that the observed intensity of the FePO4 020 reflection
is stronger with 4° incidence angle than it is with 0° incidence
angle at all rates above 4C. This divergence shows that the back of
the electrode is undergoing less discharge at these rates than the
region being sampled closer to the front of the electrode. The divergence
is largest at 8C and 10C, and is observed to decrease again at 20C.
This indicates that the region of the electrode with the largest variation
in composition is moving further from the side of the electrode from
which the X-ray is impinging and hence closer to the electrolyte-soaked
separator.
Figure 6
The variation in FePO4 phase fraction expressed as the
FePO4 020 peak height (relative to the combined heights
of the FePO4 020 and the LiFePO4 020 + 211)
with time during cell discharge for electrodes prepared with 50% and
25% LiFePO4 and linear fits to the data.
The variation in FePO4 phase fraction expressed as the
FePO4 020 peak height (relative to the combined heights
of the FePO4 020 and the LiFePO4 020 + 211)
with time during cell discharge for electrodes prepared with 50% and
25% LiFePO4 and linear fits to the data.Figure 7a,b shows the gradients
of the linear
fits to the data in Figure 6 plotted versus
current density and C rate for both the 25% and 50% electrodes, respectively.
This plot emphasizes the divergence in the observed intensity of the
FePO4 020 reflection of the 50% active material electrode
during fast discharge. A particular strength of our approach of rapidly
collecting a series of incidence angles is that these data were collected
on a single electrode so are directly comparable.
Figure 7
The rate of change of
the intensity of the FePO4 020
reflection during discharge as a function of current density and C rate for (a) 25% and (b) 50% LiFePO4-containing
electrodes. Data were extracted from the linear fits shown in Figure 6. Points circled in red highlight those which indicate
significant concentration gradients within the electrode.
The rate of change of
the intensity of the FePO4 020
reflection during discharge as a function of current density and C rate for (a) 25% and (b) 50% LiFePO4-containing
electrodes. Data were extracted from the linear fits shown in Figure 6. Points circled in red highlight those which indicate
significant concentration gradients within the electrode.The variations in phase behavior that we have observed
during fast
discharge are consistent with the effects described earlier based
on observations from the electrochemical performance. In the electrode
containing 25% active material the electrochemical data show only
a slight increase in the negative gradient of the discharge plateau
indicating that some small ionic diffusion gradients may exist in
the electrode resulting in some preferential discharge of material
near the bulk electrolyte as observed in Figure 7a (a notable deviation from this trend is seen at 20C which may be
due to a low number of data points increasing the bias from experimental
scatter). In the 50% electrode, little or no variation was seen in
the gradients at the front and back of the electrode with rates of
4C or slower. However, at elevated rates there is a sharp deviation
in the rate of change between the front and back of the electrode
suggesting that a significantly different limitation is controlling
the electrode composition. This effect is consistent with the salt
concentration polarization aspect of our previously reported SDF model,[41] and originates from the insufficient concentration
of lithium ions in the electrolyte stored within the electrode (see
Table 1). During the discharge of the battery
lithium ions must be transported from the bulk electrolyte to the
active material by migration and diffusion. At slow rates these mass
transfer processes are sufficient to allow complete discharge of the
battery, but at higher rates they are severely limiting.
Table 1
Projected Concentrations of LiPF6 and Li Ion Vacancies
in FePO4 within the Battery
Electrodes Used in This Studya
% active
material in electrode
LiPF6 soaked in electrode void space/mol dm–3
Li ion vacancies
in FePO4/mol dm–3
50
0.2
6.52
25
0.2
2.85
Calculated assuming that the
solid material is approximately 80% of the volume and that the free
space (filled with electrolyte) is 20% (approximated from ref (48)). Densities were taken
as 3.6, 2, and 2.2 g cm–3 for LiFePO4, carbon black, and PTFE, respectively. It was also assumed that
changes in composition of the active material did not change the packing
of the solids and therefore the occupied volume. The concentration
of the LiPF6 in the electrolyte solution used was 1 M.
Calculated assuming that the
solid material is approximately 80% of the volume and that the free
space (filled with electrolyte) is 20% (approximated from ref (48)). Densities were taken
as 3.6, 2, and 2.2 g cm–3 for LiFePO4, carbon black, and PTFE, respectively. It was also assumed that
changes in composition of the active material did not change the packing
of the solids and therefore the occupied volume. The concentration
of the LiPF6 in the electrolyte solution used was 1 M.In the flat discharge plateau
region of LiFePO4 the
discharge reaction can be written as:The
FePO4 and LiFePO4 phases coexist within
the electrode structure, so if one region of the electrode has an
insufficient supply of lithium ions then a slower discharge will occur
in one region and a faster rate of discharge in another. At high rates
of discharge lithium ions are rapidly exhausted in the electrode.
This is followed by a mass transport process driven by diffusion from
the bulk electrolyte. The lithium ions thus transported will react
with the first particles of electrode material encountered which will
be in the region of the electrode facing the separator. Hence this
region will fully discharge and the electrode region near the current
collector will be undercharged (as observed at high rates in the 50%
active material electrode). This is shown schematically in Figure 8; when there is no limitation on the electrolyte
during discharge, an even concentration in the electrode can be seen
and when an electrolyte limitation is in effect, a preferential discharge
occurs at the electrode close to the bulk electrolyte and results
in an incomplete discharge.
Figure 8
Schematic showing how the discharge proceeds
in an electrode where
there are no limitations on the discharge from the electrolyte and
also where there is a severe limitation as a result of insufficient
transport of Li+ ions (usually resulting from a high ratio
of lithium ion vacancies to lithium ions in solution and when the
electrode is discharged at high rates). This schematic negates the
inclusion of any conductive additive or binder and assumes no electronic
limitations.
Schematic showing how the discharge proceeds
in an electrode where
there are no limitations on the discharge from the electrolyte and
also where there is a severe limitation as a result of insufficient
transport of Li+ ions (usually resulting from a high ratio
of lithium ion vacancies to lithium ions in solution and when the
electrode is discharged at high rates). This schematic negates the
inclusion of any conductive additive or binder and assumes no electronic
limitations.
Crystallinity
Changes during Cycling
During the in situ cycling experiments
described above, in which
the electrodes were cycled sequentially at rates of 2, 4, 6, 8, 10,
and 20 C, a reduction in the crystallinity of the active electrode
was observed. Note that the peak widths of LiFePO4 and
FePO4 were observed to be similar in any given pattern
throughout the study so this broadening does not affect the phase
faction calculations presented above. However, XRD patterns recorded
at the start of discharge at each rate for the 25% electrode do show
a clear increase in peak width (Figure. 9a).
To check whether this breakdown could be caused by X-ray beam damage
we recorded patterns at the end of a 2C discharge while the battery
was under open circuit conditions for 40 min. These results showed
no discernible degradation of the active material as a function of
time exposed to the beam, and since none of our measurements exceeded
5 h total collection time it seems unlikely that beam damage is a
significant factor. We also investigated the behavior using ex situ
measurements of cells cycled with the same regime used during this
in situ test, and two cells cycled at 10C and 2C for the same number
of total cycles. A significant broadening of the FePO4 reflections
was observed in the materials which were cycled at a range of different
rates (Figure 9b) but very little extra broadening
was observed with either of the fixed cycling rates.
Figure 9
XRD patterns at the start
of charge during a sequence of cycles
at different rates (2C → 20C), showing the increased peak width
(a) and the full width half-maximum value of the FePO4 020
reflection in patterns recorded ex situ with a fresh electrode, an
electrode cycled at a number of different rates (as per the left-hand
image), an electrode cycled 10 times at 10C, and an electrode cycled
10 times at 2C (b).
XRD patterns at the start
of charge during a sequence of cycles
at different rates (2C → 20C), showing the increased peak width
(a) and the full width half-maximum value of the FePO4 020
reflection in patterns recorded ex situ with a fresh electrode, an
electrode cycled at a number of different rates (as per the left-hand
image), an electrode cycled 10 times at 10C, and an electrode cycled
10 times at 2C (b).We also examined SEM
images of the electrodes before (Figure 10a)
and after (Figure 10b)
cycling using the multi-rate
regime employed for the in situ measurements described above. No obvious
breakdown in particle size can be seen in these images and we therefore
suggest that the line broadening is a result of increasing disorder
within the crystallites. This disordering seems to be limited to cases
where multiple cycling rates have been applied.
Figure 10
SEM images of electrodes
containing 25% LiFePO4 before
(a) and after (b) cycling under the test regime employed in diamond.
Both images have 100 nm scale bars.
SEM images of electrodes
containing 25% LiFePO4 before
(a) and after (b) cycling under the test regime employed in diamond.
Both images have 100 nm scale bars.
Implications of the above Results for Battery
Construction
The results presented above have tracked the
formation of concentration gradients within electrodes under high
rates of discharge. The limitations seen are consistent with effects
corresponding to an insufficient transport of Li ions from the bulk
electrolyte through the electrode structure as predicted by SDF theory.
This confirms that the rate performance of many modern materials used
in battery technologies is not a result of the intrinsic properties
of the material itself but rather the matrix in which it is stored.
In this study, this effect is observed in electrodes with relatively
dilute amounts of active material where the X-ray absorption is not
obscuring measurement. However, these gradients should be much more
pronounced in electrodes with higher concentrations of active material
in the electrode (such as those conventionally used in research laboratories
with ≥75% active material) and thus the electrochemical rate
performance of these systems will be significantly hindered. The effect
should also be far more pronounced in electrode materials which have
a much higher volumetric capacity, where the requirement of lithium
ions by the material stored in the electrode during discharge will
be much larger. This means that to realize the full rate potential
of battery materials the following strategies should be considered:
(1) dilution of the active material (which reduces the stored energy
density); (2) reducing the electrode thickness;[1,49−51] (3) increasing the concentration of lithium ions
in the electrolyte: the electrolyte concentrations used herein are
typical for conventional liquid electrolytes but there are recent
reports of more concentrated electrolytes which retain high diffusion
rates,[52] these would allow an increase
in the amount of lithium initially in the pores c.f. values given
in Table 1; and (4) increasing the diffusion
coefficient of lithium in the electrolyte.
Conclusions
A new method for the in situ study of battery materials that allows
for the visualization of concentration gradients formed in electrodes
during discharge is introduced. A significant difference in the performance
of the material dependent on whether it is near the bulk electrolyte
or current collector is observed. At higher rates of discharge (>10
C) the electrode material near the current collector changes at a
much slower rate compared with the material close to the bulk electrolyte
in cells containing a high concentration of lithium ion vacancies.
It is believed that this effect is the major limitation in the rate
performance of electrodes in conventionally prepared batteries.In parallel we observed a significant breakdown in crystallinity
of the LiFePO4 during the electrochemical measurements.
It was shown that the breakdown is far more significant when the battery
is cycled at a range of different rates rather than for the same number
of cycles at either a high or low rate.Ideally, to obtain the
maximum rate out of a battery material of
a given particle size and ionic and electronic conductivity we need
an electrolyte that can supply the ions at high rates. In some cases
the particles of the electrode material may be significantly large
or the ionic or electronic conductivities sufficiently small such
that electrolyte is not limiting the discharge rate. Nevertheless,
modern synthesis techniques such as sol–gel and hydrothermal
routes mean that synthesis of materials on the nanometre scale is
routinely achieved which means that commonly the rate limiting step
in the discharge of the battery material even with intrinsically poor
electronic and ionic conductivities is the Li ion transport through
the electrolyte.
Authors: Fiona C Strobridge; Raphaële J Clément; Michal Leskes; Derek S Middlemiss; Olaf J Borkiewicz; Kamila M Wiaderek; Karena W Chapman; Peter J Chupas; Clare P Grey Journal: Chem Mater Date: 2014-10-09 Impact factor: 9.811
Authors: Chun Huang; Matthew D Wilson; Kosuke Suzuki; Enzo Liotti; Thomas Connolley; Oxana V Magdysyuk; Stephen Collins; Frederic Van Assche; Matthieu N Boone; Matthew C Veale; Andrew Lui; Rhian-Mair Wheater; Chu Lun Alex Leung Journal: Adv Sci (Weinh) Date: 2022-04-11 Impact factor: 17.521