Zizhen Zhou1,2,3, Dewei Chu1, Bo Gao3, Toshiyuki Momma2, Yoshitaka Tateyama2,3, Claudio Cazorla4. 1. School of Materials Science and Engineering, UNSW Australia, Sydney, NSW 2052, Australia. 2. Graduate School of Advanced Science and Engineering, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan. 3. Center for Green Research on Energy and Environmental Materials (GREEN) and International Center for Materials Nanoarchitectonics (MANA), National Institute for Materials Science (NIMS), 1-1 Namiki, Tsukuba, Ibaraki 305-0044, Japan. 4. Departament de Física, Universitat Politècnica de Catalunya, Campus Nord B4-B5, E-08034 Barcelona, Spain.
Abstract
Lithium-rich manganese-based oxides (LRMO) are regarded as promising cathode materials for powering electric applications due to their high capacity (250 mAh g-1) and energy density (∼900 Wh kg-1). However, poor cycle stability and capacity fading have impeded the commercialization of this family of materials as battery components. Surface modification based on coating has proven successful in mitigating some of these problems, but a microscopic understanding of how such improvements are attained is still lacking, thus impeding systematic and rational design of LRMO-based cathodes. In this work, first-principles density functional theory (DFT) calculations are carried out to fill out such a knowledge gap and to propose a promising LRMO-coating material. It is found that SrTiO3 (STO), an archetypal and highly stable oxide perovskite, represents an excellent coating material for Li1.2Ni0.2Mn0.6O2 (LNMO), a prototypical member of the LRMO family. An accomplished atomistic model is constructed to theoretically estimate the structural, electronic, oxygen vacancy formation energy, and lithium-transport properties of the LNMO/STO interface system, thus providing insightful comparisons with the two integrating bulk materials. It is found that (i) electronic transport in the LNMO cathode is enhanced due to partial closure of the LNMO band gap (∼0.4 eV) and (ii) the lithium ions can easily diffuse near the LNMO/STO interface and within STO due to the small size of the involved ion-hopping energy barriers. Furthermore, the formation energy of oxygen vacancies notably increases close to the LNMO/STO interface, thus indicating a reduction in oxygen loss at the cathode surface and a potential inhibition of undesirable structural phase transitions. This theoretical work therefore opens up new routes for the practical improvement of cost-affordable lithium-rich cathode materials based on highly stable oxide perovskite coatings.
Lithium-rich manganese-based oxides (LRMO) are regarded as promising cathode materials for powering electric applications due to their high capacity (250 mAh g-1) and energy density (∼900 Wh kg-1). However, poor cycle stability and capacity fading have impeded the commercialization of this family of materials as battery components. Surface modification based on coating has proven successful in mitigating some of these problems, but a microscopic understanding of how such improvements are attained is still lacking, thus impeding systematic and rational design of LRMO-based cathodes. In this work, first-principles density functional theory (DFT) calculations are carried out to fill out such a knowledge gap and to propose a promising LRMO-coating material. It is found that SrTiO3 (STO), an archetypal and highly stable oxide perovskite, represents an excellent coating material for Li1.2Ni0.2Mn0.6O2 (LNMO), a prototypical member of the LRMO family. An accomplished atomistic model is constructed to theoretically estimate the structural, electronic, oxygen vacancy formation energy, and lithium-transport properties of the LNMO/STO interface system, thus providing insightful comparisons with the two integrating bulk materials. It is found that (i) electronic transport in the LNMO cathode is enhanced due to partial closure of the LNMO band gap (∼0.4 eV) and (ii) the lithium ions can easily diffuse near the LNMO/STO interface and within STO due to the small size of the involved ion-hopping energy barriers. Furthermore, the formation energy of oxygen vacancies notably increases close to the LNMO/STO interface, thus indicating a reduction in oxygen loss at the cathode surface and a potential inhibition of undesirable structural phase transitions. This theoretical work therefore opens up new routes for the practical improvement of cost-affordable lithium-rich cathode materials based on highly stable oxide perovskite coatings.
Li-ion batteries (LIBs)
have powered portable electronic devices
for about three decades.[1,2] Recently, the use of
LIBs has been extended to electric vehicles, which, in order to make
positive commercial and environmental impacts, require high autonomy
mileage and cost-affordability.[3] However,
traditional LIBs based on cathode materials like LiCoO2 typically deliver output capacities of <200 mAh g–1 and energy densities of <220 Wh kg–1,[4] which fail to fulfill the automobile demand of
>350 Wh kg–1.[5,6] Thus, considerable
research
has been recently conducted to identify and design improved cathode
materials.Li-rich manganese based oxides (LRMO) with general
formula xLi2MnO3·(1 – x)LiMO2 (1 < x ≤ 1/3;
M = Ni, Co, Mn) are regarded as promising candidates to ameliorate
the gap between LIB supply and demand owing to their great energy
capacities (typically >250 mAh g–1) and energy
densities
(∼900 Wh kg–1).[5] However, LRMOs present quite limiting practical issues like large
first-cycle irreversible capacity loss, unsatisfactory cycle performance,
and low rate capability.[7] The main causes
of these practical issues include an unwanted transition toward a
layered-spinel phase and oxygen-redox evolution reactions occurring
during electrochemical cycling.[8] Consequently,
the exploitation of LRMO in advanced electric vehicle and portable
electronic devices remains significantly hindered.[6,9,10]To overcome these shortcomings, extensive
efforts have been made
to enhance the electrochemical performance of LRMO cathode materials
including doping,[11,12] surface modification,[13−15] and particle size control.[16,17] Nanosizing has been
employed to enhance the structural stability and electrochemical performance
of LRMO; however, the accompanying material agglomeration (i.e., adhesion
of nanoparticles) and triggering of electrolyte-induced side reactions
due to increased surface energy and area[18−20] have discouraged
the use of this approach. Doping strategies, on the other hand, have
been partially successful in stabilizing LRMO-based electrodes. For
instance, Wang et al. have employed Mg as an additional
dopant species to synthesize the compound Li[Li0.2–2MgCo0.13Ni0.13Mn0.54]O2 (x = 0.02,
0.04, and 0.06), finding that x = 0.04 exhibits improved
energy capacity and rate capability.[21] Nonetheless,
the chemical engineering associated with such doping strategies remains
challenging and poorly understood, thus frustrating systematic and
rational design of cathode materials.[22]Surface modification via coating is considered a successful
solution
to protect electrodes without changing their bulk material structure.
Thus far, various electrode-coating materials have been reported,
including oxides (Co3O4,[23] TiO2,[24] CeO2[25]), phosphates (AlPO4,[26] FePO4[27]), and graphite fluorides.[13] Most of these
coating materials act as physical barriers protecting the electrode
from the hydrofluoric attacks caused by the acids contained in the
electrolyte. Coating materials can also prevent unwanted layer-to-spinel
phase transitions and promote electronic conductivity within the cathode,
which in some cases may be desirable.[28,29]In terms
of rational design, ideal cathode-coating materials need
to be protective to prevent possible cathode phase transitions, electrolyte
decomposition, and the appearance of microcracks.[31] Prospective coating materials should also avoid the rise
of charge transfer resistance and conversely be able to improve the
electrochemical performance of the electrodes. Interestingly, previous
computational work has also shown that reducing electron transfer
between the electrolyte and cathode may be a crucial practical aspect.[32]Nevertheless, elimination of the oxygen
that results from the side
evolution reactions occurring within the coated cathodes, which causes
poor LRMO electrochemical performance, remains a big challenge. In
addition, the extent to which the coating material may affect the
Li-ion diffusivity near the created interface and lead to unwanted
reduction of the charge–discharge capacities is not well understood.[30] Therefore, in order to design LIBs with enhanced
cyclic stabilities and rate capabilities, it is crucial to improve
our current understanding of LRMO/coating material interfaces at the
structural, electronic, and Li-ion transport levels.Here, we
report a first-principles simulation study on the structural,
electronic, Li-ion transport, and stability properties of the cathode
material Li1.2Ni0.2Mn0.6O2 (LNMO) coated with SrTiO3 (STO). LNMO
is selected as a representative LRMO compound owing to its high economical
affordability, hypotoxicity, large discharge capacity, and reasonable
stability.[33] Meanwhile, STO, an archetypal
oxide perovskite, has been chosen based on its high thermodynamic
stability, elemental abundance, non-toxicity, synthesis versatility,
and structural compatibility with LNMO. Our first-principles density
functional theory (DFT) calculations show that (i) STO coating layers
can successfully accommodate Li ions as well as to enhance the Li
ion diffusivity in the LNMO cathode, (ii) the formation energy of
oxygen vacancies is significantly reduced at the LNMO/STO interface,
which may prevent structure cathode degradation, and (iii) the density
of electronic states at the LNMO/STO interface is enhanced as compared
to that of bulk LNMO, thus promoting electronic transport inside the
LNMO cathode. The conclusions presented here for a model LNMO/STO
interface system are expected to be generalizable to other LRMO and
perovskite-based materials; thus, the present work advances knowledge
in the design of more stable and energy efficient LIBs based on cathode-coating
techniques.
Computational Methods
Spin-polarized
first-principles calculations based on density functional
theory (DFT) were carried out.[34] The PBE
exchange-correlation energy functional[35] was used as it is implemented in the VASP software.[36] The projector-augmented wave method (PAW)[37] was employed to represent the ionic cores by considering
the following electronic states as valence: Sr 4s, 4p, and 5s; Ti 3p, 4s, and 3d; O 2s and 2p; Li 1s, 2s, and 2p; Mn 3p, 4s, and 3d; Ni 3p, 4s, and 3d. A “Hubbard-U”
scheme[38] was employed for a better treatment
of the Ti, Mn, and Ni and 3d electric orbitals, with
a selected U value of 2.0, 3.9, and 6.0 eV,[39−41] respectively. An energy cutoff of 520 eV and a Monkhorst–Pack k-point grid of 2 × 2 × 1 for integrations within
the Brillouin zone were used in the geometry optimizations, which
led to total energies converged to within 1 meV per atom. Atomic relaxations
were concluded when the forces in the atoms were all below 0.01 eV
Å–1. The STO/LNMO supercell employed in our
simulations contained a total of 384 atoms and was at all practical
effects symmetric along the direction perpendicular to the two-material
interface (Figure S1). Analysis of the
macroscopic average electrostatic potential calculated in the STO/LNMO
system along the same direction suggests correct convergence of our
DFT results with respect to the slabs’ thickness (Figure S2).The bulk atomic structure of
SrTiO3 (STO) and Li1.2Ni0.2Mn0.6O2 (LNMO) considered
in this work are shown in Figure . STO adopts the typical paraelectric perovskite phase
(cubic symmetry, space group Pm3̅m) and LNMO was built by replacing Mn atoms with Ni and Li ions in
a 4 × 4 × 1 LiMnO2 (rhombohedral symmetry, space
group R3̅m) supercell. Regarding
the LNMO structure, different possible cationic arrangements were
initially generated and ranked according to their electrostatic energy
by using the Pymatgen package;[42] subsequently,
all of them were geometrically optimized with DFT methods. Figure S3 shows the top 30 configurations ranked
by Pymatgen according to their electrostatic interactions and the
corresponding DFT energies. The one with the lowest DFT energy [Figure S3, (1)] was employed in all the subsequent
STO/LNMO calculations. The lattice constants of the relaxed bulk LNMO
and bulk STO systems are shown in Table S1, and very good agreement was found with respect to the available
experimental data.
Figure 1
Atomic bulk structures of STO (a) and LNMO (b) as considered
in
this study. Sketch of the LNMO-coating procedure based on STO (c).
Atomic bulk structures of STO (a) and LNMO (b) as considered
in
this study. Sketch of the LNMO-coating procedure based on STO (c).By considering additional LNMO configurations,
even lower-energy
atomic arrangements could possibly be identified. Nevertheless, the
general conclusions presented in this article are not expected to
significantly depend on the very specific details of the selected
LNMO configuration since in most cases the DFT calculations have been
performed for different positions and as a function of the distance
to the STO/LNMO interface; hence, local Mn-Ni-Li environment effects
should be already averaged out in them.Due to the presence
of high chemical disorder in the LNMO system,
in our DFT calculations, we initialized all the Mn and Ni ions (a
total of 39) with parallel magnetic moments (i.e., ferromagnetic spin
ordering) and all the Li and O ions (a total of 153) with null magnetic
moments. Upon relaxation of the system toward the ground state, we
found that most of the Mn ions conserved their parallel magnetic moments
(∼93%), although few of them switched to anti-parallel (∼7%);
regarding the Ni ions, they most exhibited anti-parallel spin ordering
(i.e., half of the Ni ions exhibited “up” magnetic moments,
and the other half exhibited “down” magnetic moments).
As expected, most of the oxygen ions became partially magnetized,
and their net magnetic moments were predominantly “down”
(∼80%). Due to the highly variable atomic environment around
the transition metal ions in LNMO, it was not possible to determine
a regular magnetic ordering
in the corresponding relaxed structure.Ab initio nudged-elastic
band (NEB) calculations[43] were conducted
to estimate the energy barrier (EB) of
Li migration in bulk STO, bulk LNMO, and
the STO/LNMO interface system. In this case, we used a 1 × 1
× 1 Γ-centered k-point grid
for Brillouin zone sampling and an energy cutoff of 400 eV. The geometry
optimizations were halted when the forces on the atoms were all smaller
than 0.01 eV Å–1. Following previous computational
studies on Li-ion diffusion in layered cathode materials, the standard
PBE functional (i.e., without any U) was employed
in our NEB calculations to avoid the mixing of the ionic migration
barriers with a charge transfer barrier.[44,45]For the calculation of vacancy formation energies, EV, we removed one single oxygen or lithium ion
from the
simulation supercell, which leads to defect concentrations of ∼0.4
and ∼ 1.6%, respectively. For the sake of computational affordability
and in view of previous first-principles results reported on bulk
STO,[41] in the present study, all point
defects have been assumed to be neutrally charged; the formation energy
of vacancies, EV, therefore, was estimated
by using the formula:where Edefect is the total energy of the system containing one O or
Li vacancy, Eperfect is the total energy
of the system without any defect, and μ is the chemical potential of the removed ion. μLi was estimated from the formation energy of bulk bcc Li and
was found to be equal to −1.904 eV. μO was
adopted from previous computational studies,[46,47] in which a correction of 0.68 eV was considered to compensate for
the usual PBE underestimation, thus being equal to μO = −4.26 eV. Since the types of vacancies considered in this
study were charge-neutral, we excluded energy terms correcting for
periodic charge-image spurious effects.[48] Point defects other than oxygen and lithium vacancies have been
neglected in this study due to obvious computational limitations.Charge density distribution differences (CDD) were calculated to
substantiate the redistribution of charges in the LNMO cathode upon
STO coating, according to the formulawhere ρSTO/LNMO is the total charge density of the LNMO/STO interface system, and
ρSTO and ρLNMO are the charge density
of the isolated STO coating and LNMO cathode calculated separately.In addition, the surface energy of the analyzed slabs, Esurf, and the adhesion energy of the joint STO/LNMO
system, Eadh, were estimated with the
formulaswhere Etotal represents the energy of the slab, n represents the number of formula units in the slab, Ebulk represents the bulk energy per formula unit, and A represents the surface of the slabs.
Results and Discussion
Structural and Electronic Properties of the
STO/LNMO System
Figure shows the fully relaxed STO/LNMO interface system
obtained in our DFT simulations. Given the layered structure of LNMO
in which nanosheets of Li and transition metal (TM)-oxygen ions alternate
along the <001> direction, we started by choosing a rhombohedral
LNMO <001> slab (for which we estimated a surface energy of
+0.030
eV/Å2; eq ). To minimize the interface strains and accompanying interface elastic
energy, a STO slab with <111> orientation (with surface energy
equal to +0.072 eV/Å2) was subsequently selected for
building up the heterogeneous interface system (i.e., the STO <110>
and STO <001> slabs cannot seamlessly match the 120° angle
of rhombohedral LNMO in contrast to STO <111>; hence, they were
disregarded in our modeling of a commensurate STO/LNMO supercell).
The interface lattice mismatch between STO <111> and LNMO <001>
prior to their epitaxy was 2.6%, which in the STO/LNMO interface system
is entirely adopted by the STO slab given its condition of cathode
coating (in other words, since in practice the thickness of the STO
coating should be much smaller than that of the LNMO cathode, we assume
that the structural distortions induced by the former on the latter
can be safely neglected within the interface plane). The two slab
terminations were selected so as to maximize the number of possible
bonds between TM and oxygen ions at the STO/LNMO interface since these
tend to be energetically very favorable (other possible surface terminations
were not contemplated due their likely higher energy and our obvious
computational limitations).
Figure 2
(a) Fully relaxed structure of the STO/LNMO
interface system. Each
layer is labeled according to its chemical composition and distance
to the two-material interface. The percentages indicate the strain
distortion in each layer along the direction perpendicular to the
two-material interface as referred to their corresponding bulk system.
(b) Charge density difference at the interface; electronic charge
depletion and accumulation regions are represented by blue and yellow,
respectively, and the isosurface value was set to 0.025 eV Å–3. The color code employed to represent the ions is
the same as in Figure .
(a) Fully relaxed structure of the STO/LNMO
interface system. Each
layer is labeled according to its chemical composition and distance
to the two-material interface. The percentages indicate the strain
distortion in each layer along the direction perpendicular to the
two-material interface as referred to their corresponding bulk system.
(b) Charge density difference at the interface; electronic charge
depletion and accumulation regions are represented by blue and yellow,
respectively, and the isosurface value was set to 0.025 eV Å–3. The color code employed to represent the ions is
the same as in Figure .The lattice distortion for each layer along the
direction perpendicular
to the STO/LNMO interface as refereed to the corresponding bulk material
was estimated as η ≡ (a – a0)/a0, where a and a0 represent the distance between consecutive layers in the interface
and pure bulk systems, respectively. It was found that in the LNMO
side η is quite small (i.e., 0.3% between ALNMO and BLNMO and 0.5% between CLNMO and DLNMO), whereas in the STO side, it generally adopts
very large and negative values (e.g., −1.93% for layers ASTO and BSTO) (Figure a). The general out-of-plane contraction
in the STO side and the general lack of out-of-plane distortion in
the LNMO side can be easily understood in terms of elastic arguments
typically employed for the description of thin films epitaxially grown
on top of substrates. Since the epitaxial strain introduced by the
interface in the STO (LNMO) block is high and tensile (null), the
corresponding out-of-plane dimension significantly shrinks in an attempt
to conserve its original volume (barely changes), thus minimizing
the accompanying elastic energy.[41]Epitaxial strain in a heterogeneous system requires the condition
that atomic bonds bridging the distinct materials are formed at their
interface. In the STO/LNMO system, we confirmed the presence of such
bridging atomic bonds, involving Ti ions in the STO side and O ions
in the LNMO side, through both charge density difference (CDD) (eq ) and Bader charge analysis
(Figure b). For instance,
we found a significant accumulation (depletion) of negative charge
in the LNMO (STO) layers lying closer to the boundary surface as compared
to an isolated LNMO system. In particular, each interface O ion in
the LNMO side received on average approximately 0.3 electrons from
the neighboring Ti ions in the STO side. Moreover, we estimated the
adhesion energy associated with the STO/LNMO interface and obtained
−0.6 eV/Å2 (eq ), which corroborates the presence of energetically
favorable bonds uniting the LNMO <001> and STO <111> slabs.To analyze in more detail the electronic band structure changes
occurring in the STO/LNMO system, we calculated the corresponding
layered partial density of electronic states (DOS; Figure a). All the energies in the
DOS are shifted to zero with respect to the Fermi energy level (EF). It was observed that upon STO coating, the
Fermi energy level in the LNMO layers closer to the interface shifts
toward the bottom of the conduction band, thus rendering an n-type semiconductor (Figure a and Figure S4); on the
contrary, bulk LNMO behaves like a p-type semiconductor
since the corresponding EF level lies
closer to the top of the valence band (Figure b). Interestingly, electronic Mn and O states
appear within the band gap of the interior LNMO layers (Figure a), thus appreciably reducing
their energy band gap compared to that of bulk LNMO (which amounts
to ∼0.24 eV; Figure b). The small, although non-zero, η strains
between consecutive LNMO layers (Figure a) are likely to play a role in such a moderate
band gap reduction. The band gap in the STO layers close to the interface
was also found to decrease compared to the corresponding bulk value
(i.e., ∼1.5 and ∼2.0 eV, respectively; Figure c), although it still remains
large enough to block the possible diffusion of electrons toward the
electrolyte. A transition from a p-type to an n-type semiconductor in moving from the bulk to the interface
system, similar to that described for LNMO, is also observed in STO
(Figure a–c).
Figure 3
(a) Layered
partial density of electronic states calculated for
the STO/LNMO interface system; spin-down and spin-up states are summed
up. Spin-polarized density of electronic states of bulk LNMO (b) and
bulk STO (c).
(a) Layered
partial density of electronic states calculated for
the STO/LNMO interface system; spin-down and spin-up states are summed
up. Spin-polarized density of electronic states of bulk LNMO (b) and
bulk STO (c).
Formation Energy and Impact of Oxygen Vacancies
Previous experimental and DFT-based simulation studies have shown
that irreversible oxygen release at the surface of LRMO occurring
during the charging process results in surface reconstruction to a
rock-salt/spinel-like shell.[49,50] In addition, the release
of oxygen at the cathode surface may generate side reactions with
the organic electrolyte, leading to capacity fading.[51,52] Therefore, suppressing the release of oxygen at the cathode material
surface is of critical importance for guaranteeing the stability and
high energy capacity of LNMO.Motivated by these facts, we investigated
the formation energy and impact of oxygen vacancies (OV) in the STO/LNMO system. To this end, a single oxygen atom was removed
at a time from the STO and LNMO layers by considering all possible
inequivalent positions (two in the first case and four in the latter; Figure S5). Figure shows the formation energy of oxygen vacancies
(EV; eq1) estimated for the STO and LNMO
layers as a function of their distance to the interface (likely thermal
effects were neglected[53]). Different points
for a same layer represent the vacancy energies estimated considering
different oxygen positions; the corresponding EV average values are indicated with stars in Figure .
Figure 4
Oxygen vacancy formation
energy calculated for different layers
in the STO/LNMO interface system (indicated with dotted lines). Star
markers are the average EV values calculated
in each layer. The EV values estimated
with analogous computational techniques for bulk LNMO and an exposed
LNMO <001> surface are shown for comparison.
Oxygen vacancy formation
energy calculated for different layers
in the STO/LNMO interface system (indicated with dotted lines). Star
markers are the average EV values calculated
in each layer. The EV values estimated
with analogous computational techniques for bulk LNMO and an exposed
LNMO <001> surface are shown for comparison.In the STO coating layers, EV is largest
(∼5 eV) and does not depend noticeably on the distance to the
LNMO/STO interface, thus indicating that OV are difficult
to form in the protecting oxide perovskite coating. Near the STO/LNMO
interface (i.e., “LNMO1” and “LNMO2” layers
in Figure ), EV decreases by roughly 1 eV (∼4.0–4.2
eV) as compared to that in the oxide coating layer and is slightly
higher than the one calculated for bulk LNMO (∼3.9 eV). For
the inner LNMO layers (i.e., “LNMO3” and “LNMO4”
layers in Figure ),
the estimated average EV values are similar
to those found close to the interface, thus suggesting that the small
energy differences with respect to bulk are caused by the minute η strains appearing between consecutive LNMO layers
(Figure a). Meanwhile,
the average EV calculated for an exposed
LNMO <001> surface (i.e., with no oxide coating) amounts to
∼3.1
eV (Figure ), which
is noticeably smaller than those obtained for the STO/LNMO system
due to the undercoordination of the oxygen ions in the surface. These
results indicate that upon STO coating, oxygen loss from the LNMO
surface can be partially prevented; hence, the undesirable layered
to spinel/rock-salt phase transition might be inhibited in practice.[54]We analyzed the DOS of different LNMO
layers containing oxygen
vacancies in order to understand their impact on the electronic properties
of the system (Figure ). Interestingly, a band gap reemerges in the presence of OV due to the disappearance of highly hybridized Mn 3p states and O 2p states near the bottom of the conduction
band (Figure and Figure S4). The OV-induced band gap
amounts to ∼0.2 eV for all layers, thus indicating that the
presence of oxygen vacancies may slightly hinder electronic conduction
as compared to the analogous stoichiometric system (which shows no
band gap). In addition, the presence of oxygen vacancies reverts the
semiconducting character of the LNMO layers to p-type
(i.e., like in the equivalent bulk system), and it increases the hybridization
between the Mn 3p and O 2p orbitals
at the interface layer. The CDD analysis performed on the system containing
oxygen vacancies indicates that close to the STO/LNMO interface, the
electrons left behind by the neutral OV are transferred
to the nearby Mn ions [Figure S6b]. Such
charge transfers result in a hybridization between Mn 2p and O 2p electronic orbitals, which is stronger
in one of the two spin channels at the interface than in the rest
of interior LNMO layers (Figure ).
Figure 5
Layered partial density of electronic states calculated
for different
layers containing one oxygen vacancy in the STO/LNMO interface system.
From top to bottom, plots correspond to the interface, second, third
and fourth layers.
Layered partial density of electronic states calculated
for different
layers containing one oxygen vacancy in the STO/LNMO interface system.
From top to bottom, plots correspond to the interface, second, third
and fourth layers.
Li Diffusion Properties
As mentioned
in the Introduction, suitable cathode coating
materials should be able to accommodate Li ions and allow for Li ion
diffusion across them (complementary calculations and comments on
the formation energy of Li vacancies are presented in the Supporting
Information and Figure S7). NEB calculations
were conducted to investigate the impact of coating on the Li diffusion
properties of LNMO and STO. To mimic the coating scenario, LNMO and
STO lattice distortions originated by the interface lattice mismatch
between the two materials and the formation of interfacial atomic
bonds were taken into consideration in our NEB calculations.Let us start with the analysis of the lithium diffusion properties
of STO. Li ions were simulated as interstitials in the STO block.
Since oxygen vacancies are a common type of point defects in STO thin
films,[41] we also simulated and analyzed
the impact of VO on Li diffusion (i.e., by considering
an oxygen vacancy density of ∼2% in an 80-atom STO supercell).
The STO lattice parameters between layers ASTO and BSTO (Figure a) were adopted to simulate Li transport near the STO/LNMO interface
(Figure , case “Li
in STO near interface”). Conversely, lattice parameters between
layers CSTO and DSTO were adopted to simulate
Li transport away from the STO/LNMO interface (Figure , case “Li in STO away from interface”).
Meanwhile, the case of Li diffusion in fully relaxed bulk STO was
also investigated (Figure , case “Li in bulk STO”) to provide meaningful
comparisons with respect to the strained LNMO/STO interface systems.
The lithium diffusion path considered in our NEB calculations is represented
in Figure along with
the position of the created VO.
Figure 6
(Left) DFT-calculated
NEB energy barrier (EB) for Li diffusion
in stoichiometric and non-stoichiometric
STO (cases “No VO” and “VO”, respectively). (Right) The Li diffusion path considered
in the NEB calculations is represented with light green spheres (the
orange arrow indicates the migration direction). The black circle
indicates the location of the oxygen vacancy created along the Li
diffusion pathway. Only the Li migration region of the system is shown
for clarity.
(Left) DFT-calculated
NEB energy barrier (EB) for Li diffusion
in stoichiometric and non-stoichiometric
STO (cases “No VO” and “VO”, respectively). (Right) The Li diffusion path considered
in the NEB calculations is represented with light green spheres (the
orange arrow indicates the migration direction). The black circle
indicates the location of the oxygen vacancy created along the Li
diffusion pathway. Only the Li migration region of the system is shown
for clarity.In the absence of oxygen vacancies, the estimated
energy barrier
for Li diffusion, EB, remains roughly
equal to 0.4 eV in both the “Li in bulk STO” and “Li
in STO away from interface” cases. Such a Li diffusion EB similarity can be ascribed to the minor structural
differences between the two implicated systems. In the “Li
in STO near the interface” case, however, the Li diffusion
energy barrier is found to increase up to 0.56 eV. This trend, which
is also observed in the presence of VO, can be understood
in terms of the sizeable structural distortions found in the LNMO/STO
interface, which hinder coherent Li transport. Interestingly, the
presence of VO favors Li ion diffusion in the “bulk”
case (i.e., EB decreases by 0.05 eV),
whereas it disfavors Li ion diffusion in the two considered interface
cases. Specifically, EB increases by 0.03
and 0.01 eV in the “Li in STO near interface” and “Li
in STO away from interface” situations, respectively. The reason
for this result seems to be related to the fact that the presence
of VO further promotes structural disorder near the LNMO/STO
interface, which mildly reduces Li transport across it. Nevertheless,
and importantly, the Li diffusion energy barriers calculated for STO
in all the cases are similar in size to those estimated in previous
DFT studies for good Li ion conductors,[55−58] thus indicating that easy Li
ion intercalation/deintercalation across the cathode coating is possible
in practice.Next, we comment on the DFT results obtained for
the Li ion diffusion
properties of LNMO. In analogy to STO, two different cases were considered:
(i) bulk LNMO, which can be regarded as the LNMO cathode away from
the interface, and (ii) STO/LNMO, which mimics the STO interfacial
region in the LNMO cathode. There are several possible diffusion pathways
to be considered in layered oxide compounds; however, in a previous
DFT work by Van der ven et al., the two most likely
pathways were already identified. Those two most likely Li diffusion
pathways are shown in Figure and involve oxygen dumbbell hops (ODH) and tetrahedral site
hops (TSH). In the ODH case, the Li ion migrates along the shortest
path connecting the initial Li site and the oxygen vacancy site (Figure a,b). With regard
to the TSH pathway, the lithium ion migrates along a curved path passing
through a tetrahedral site surrounded by two Li vacancies (Figure c,d). This is the
mechanism by which the hopping Li ion ends up forming a divacancy.[59]
Figure 7
(Top left) Calculated DFT NEB energy barrier (EB) for Li diffusion in LNMO and the STO/LNMO
interface
system along two different diffusion paths (ODH and TSH); TM-Li represents
Li diffusion along the <001> direction from a transition metal
(TM) layer to a lithium layer. (a) Top view and (b) front view of
the ODH diffusion path; (c) top view and (d) front view of the TSH
diffusion path. Dark green and dark purple spheres indicate the Li
and TM ions. (e) TM–Li diffusion path in bulk LNMO. (f) TMLi
diffusion path close to the STO/LNMO interface. Light green spheres
indicate NEB images for the Li atoms. Dotted circles indicate Li vacancies,
and orange arrows indicate the direction of migrating ions. For the
sake of clarity, many atoms have been removed from the crystal structure
plots in (a) to (d).
(Top left) Calculated DFT NEB energy barrier (EB) for Li diffusion in LNMO and the STO/LNMO
interface
system along two different diffusion paths (ODH and TSH); TM-Li represents
Li diffusion along the <001> direction from a transition metal
(TM) layer to a lithium layer. (a) Top view and (b) front view of
the ODH diffusion path; (c) top view and (d) front view of the TSH
diffusion path. Dark green and dark purple spheres indicate the Li
and TM ions. (e) TM–Li diffusion path in bulk LNMO. (f) TMLi
diffusion path close to the STO/LNMO interface. Light green spheres
indicate NEB images for the Li atoms. Dotted circles indicate Li vacancies,
and orange arrows indicate the direction of migrating ions. For the
sake of clarity, many atoms have been removed from the crystal structure
plots in (a) to (d).In the STO/LNMO system, it is observed that the EB decreases by 0.02 and 0.04 eV for the ODH
and TSH pathways,
respectively, as compared to bulk LNMO. These outcomes suggest that
upon STO coating, the Li ionic conductivity properties of LNMO will
not be deteriorated but actually somewhat improved. The main cause
of the EB reduction found in the STO/LNMO
system is the structural elongation that is attained along the axis
perpendicular to the interface (Figure a): the distance between two consecutive Li layers
increases by ∼0.3%, which facilitates the passage of Li ions
through both the ODH and TSH pathways.[45] The majority of the lattice expansion is accommodated by the Li
layers since the transition metal (TM)–O bonds are stiffer
than the Li–O bonds, thus providing additional free space for
the ionic motion[60] (it is worth mentioning
that in a previous DFT study it has been shown that a 4% increase
in the c lattice parameter of LiCoO2 can
change EB by more than 200%;[60] hence, Li diffusion is very sensitive to the
structural parameters of the cathode material). We note that in the
STO/LNMO system Li diffusion is slightly more favorable through the
ODH than the TSH pathway since the accompanying EB is smallest. This outcome is different from the results
reported for other more delithiated materials in which the TSH path
seems to be preferred over the ODH.[44] However,
in our STO/LNMO system, since the concentration of Li vacancy is quite
low (i.e., 1.6% for a single Li vacancy), the ODH path is likely to
dominate the Li diffusion.Moreover, the energy barriers involved
in Li diffusion across inner
LNMO layers (i.e., along the <001> direction) have been also
calculated
(Figure a–e,f)
(we note that the initial and final positions for a lithium ion moving
from a TM layer to a Li layer are not equivalent and that the migration
energy barriers reported here for interlayer diffusion correspond
to the TM–Li path sketched in Figure ). Specifically, the EB involved in lithium interlayer migration roughly amounts
to 1.4 eV in bulk LNMO, which is about 2 times larger than the energy
barriers estimated for the ODH and TSH hopping paths. Nevertheless,
upon STO coating, this energy barrier is reduced by ∼0.3 eV
(Figure a). The cause
of such an EB decrease may be understood
again in terms of the small interlayer expansion that LNMO experiences
upon STO coating (Figure a), which facilitates the passage of lithium ions across them.Finally, we conducted additional NEB calculations to estimate the
energy barrier involved in Li migration across the STO/LNMO interface
(Figure ). As it was
expected from the outcomes of a previous similar first-principles
study,[32] the EB calculated in this case is appreciably larger than those found in
the previous STO and LNMO systems, and it roughly amounts to 2.0 eV.
This result implies that in practice, coating the LNMO cathode with
STO may result in the appearance of a non-negligible interfacial resistance
that to a certain extent may hinder the diffusion of Li ions across
the STO/LNMO junction under normal battery operation conditions. Nonetheless,
the existence of other possible Li diffusion paths involving smaller
energy barriers should not be discarded on the basis of our NEB calculations.[42]
Figure 8
Analyzed Li migration pathway across the STO/LNMO interface.
Light
green spheres represent the NEB images of the diffusing Li atom, and
the orange arrow represents its path direction.
Analyzed Li migration pathway across the STO/LNMO interface.
Light
green spheres represent the NEB images of the diffusing Li atom, and
the orange arrow represents its path direction.We note that our ionic transport conclusions obtained
for the fully
lithiated STO/LNMO system may change upon variation of the Li content
in the cathode material. Nevertheless, due to obvious computational
limitations, we leave the detailed study of delithiated STO/LNMO systems
to future works.
Conclusions
Simulation techniques based
on density functional theory were employed
to assess the potential of STO, an archetypal and highly versatile
oxide perovskite, as a protective coating for LRMO-based cathode materials
in electrochemical lithium-ion batteries. Our theoretical DFT results
obtained for a detailed atomistic STO/LNMO interface system show that
the LNMO band gap near the coating boundary is reduced due to the
presence of Mn and O mid-gap states, which enhances electronic transport
within the LNMO cathode. By analyzing the formation energy of oxygen
vacancies in different transition-metal environments, we concluded
that upon STO coating, LNMO oxygen loss becomes less likely especially
near the interface, a result that confirms the usefulness of protective
oxide perovskite layers in preventing unwanted LRMO spinel-to-rock-salt
phase transformations. Moreover, NEB calculations reveal that Li ions
can easily diffuse through STO and that upon oxide perovskite coating,
lithium transport in LNMO is enhanced due to the induced structural
distortions that tend to slightly increase the spacing between consecutive
oxide layers. Additionally, NEB calculation shows the decreased migration
energy barrier for interlayer hopping, proving that it is highly likely
Li migrating from LNMO to STO. Therefore, the present computational
DFT study concludes that STO, and probably also other analogous oxide
perovskite materials like LaAlO3 and SrMnO3 that
are neither polar, may be used in practice as efficient cathode LRMO
coating materials. We hope that this work will motivate experimental
efforts toward the implementation of protective and functional oxide
perovskite coatings in high-energy density and capacity ion batteries,
thus making a potential impact in the technological fields of portable
electronic devices and transportation.
Authors: John P Perdew; Adrienn Ruzsinszky; Gábor I Csonka; Oleg A Vydrov; Gustavo E Scuseria; Lucian A Constantin; Xiaolan Zhou; Kieron Burke Journal: Phys Rev Lett Date: 2008-04-04 Impact factor: 9.161
Authors: A Devaraj; M Gu; R Colby; P Yan; C M Wang; J M Zheng; J Xiao; A Genc; J G Zhang; I Belharouak; D Wang; K Amine; S Thevuthasan Journal: Nat Commun Date: 2015-08-14 Impact factor: 14.919