Samuel Bertolini1, Timo Jacob1,2,3. 1. Institute of Electrochemistry, Ulm University, Albert-Einstein-Allee 47, 89081 Ulm, Germany. 2. Helmholtz-Institute Ulm (HIU) Electrochemical Energy Storage, Helmholtzstraße 11, 89081 Ulm, Germany. 3. Karlsruhe Institute of Technology (KIT), P.O. Box 3640, 76021 Karlsruhe, Germany.
Abstract
Cyclized polyacrylonitrile, which can be obtained by vulcanization of polyacrylonitrile with sulfur, is an electron-conductive polymer that can be used as a host material in lithium-sulfur batteries. Using density functional theory, we investigated the interaction between a surrounding electrolyte and the polymeric sulfur-polyacrylonitrile (SPAN) electrode. In particular, we focused on different configurations, where the system contains 1,3-dioxane as a solvent and can have (i) polysulfide (PS) solvated in the electrolyte, (ii) a PS attached to the polymer backbone, (iii) lithium bis(trifluoromethanesulfonyl)imide (LiTFSI) as a salt dissolved in the electrolyte, and (iv) both PS and LiTFSI dissolved in the electrolyte. We found that the polymer, when having a hydrogen vacancy at a carbon atom (undercoordinated carbon) of the polymer backbone, is able to not only capture a PS from the electrolyte but also decompose and bind to the solvent and/or remove lithium from the PS. During this capturing process, the polysulfide might undergo S-S bond cleavage and recombination, accompanied by a charge transfer between the polysulfide and polymer. Thus, cyclized polyacrylonitrile not only is an interesting host material but also acts as an active material, together with sulfur, by capturing Li from the polysulfide.
Cyclized polyacrylonitrile, which can be obtained by vulcanization of polyacrylonitrile with sulfur, is an electron-conductive polymer that can be used as a host material in lithium-sulfur batteries. Using density functional theory, we investigated the interaction between a surrounding electrolyte and the polymericsulfur-polyacrylonitrile (SPAN) electrode. In particular, we focused on different configurations, where the system contains 1,3-dioxane as a solvent and can have (i) polysulfide (PS) solvated in the electrolyte, (ii) a PS attached to the polymer backbone, (iii) lithium bis(trifluoromethanesulfonyl)imide (LiTFSI) as a salt dissolved in the electrolyte, and (iv) both PS and LiTFSI dissolved in the electrolyte. We found that the polymer, when having a hydrogen vacancy at a carbon atom (undercoordinated carbon) of the polymer backbone, is able to not only capture a PS from the electrolyte but also decompose and bind to the solvent and/or remove lithium from the PS. During this capturing process, the polysulfide might undergo S-S bond cleavage and recombination, accompanied by a charge transfer between the polysulfide and polymer. Thus, cyclized polyacrylonitrile not only is an interesting host material but also acts as an active material, together with sulfur, by capturing Li from the polysulfide.
Lithium batteries are
used for energy storage in different devices,
such as cellphones and electric vehicles, and many other applications,
both stationary and portable.[1−6] However, the current specificcapacity (150 Wh·kg–1) of Li-ion batteries needs to be augmented to supply the increasing
demands, for instance in electric vehicles.[7,8] Here,
lithium–sulfur batteries (LiSBs) are promising future candidates
due to their high theoretical specificcapacity of 2567 Wh·kg–1, low toxicity, and low cost of the graphite/sulfurcathode.[9−13] However, LiSBs have some challenges that still have to be overcome,
such as blockage of the active material in the cathode, the formation
of isolator layers for electron passage, volumetric expansion, and
the so-called polysulfide (PS) shuttle.[14−16] During cycling of LiSBs,
long-chain polysulfides (Li2S, 3 ≤ x ≤ 8) can dissolve into and
shuttle through the electrolyte, facilitating degradation of the anode
and self-discharge.[17−20]Since sulfur is a nonconductive material, graphite is usually
used
as a host material in LiSBs, providing the necessary electronicconductivity.
Many strategies to reduce the degradation and fading cyclability of
LiSBs, which is promoted by the migration of the PS to the anode,
are based on changing the architecture of this graphite, for instance,
by using carbon nanotubes, micropores, hollow carbon spheres, or by
encapsulating sulfur inside a polymer as a yolk, where the polymer
shell allows Li-ion transportation.[21−37] Additives to the host material are also used to force the dissolved
polysulfides to adsorb again into the electrolyte, such as magnesium
oxide particles added to the graphite.[38−42] The graphitecan also be modified by doping, e.g.,
with nitrogen, to chemisorb the PSs.[43−45] Other attempts have
tried to reduce the PS shuttle effects by using membranes that decrease
the amount of PSs reaching the anode or insertion of an additive to
the electrolyte to actively engineer the solid–electrolyte
interphase (SEI) at the anode, finally protecting the system against
PS degradation.[46] The SEI can also be produced
at the cathode by the attack of some salts (e.g., LiBr) on the electrolyte,
leading to an SEI at the cathode that reduces PS migration.[47−50]Alternative materials to graphite as host materials in LiSBs
that
also improve the cycling performance are polymer–sulfurcomposites,
of which polyacrylonitrile (PAN) is an interesting candidate for the
cathode side.[51−56] Vulcanization of PAN with sulfur leads to cyclization of the PAN
polymer, producing π-conjugated motifs as well as sulfurchains
that are chemically bound to C atoms of the PAN polymer.[57−59] During PAN synthesis, it is possible to observe a reduction of the
hydrogencontent and, at the same time, the formation of hydrogen
sulfides and N–C–S units, indicating the formation of
2-pyridylthiolates and thioamides.[57,60] After this
synthesis, the polymeric structure contains π-conjugated units,
enabling the usual identification as cyclized polyacrylonitrile (c-PAN).
Regarding its use in batteries, the performance of this polymer as
the host material is affected by the temperature of sulfur–polyacrylonitrile
(SPAN) vulcanization, the sulfurcontent, and the solvent composition,
indicating that the synthesis process strongly affects the behavior
of the LiSB. Chen et al. suggested that dehydrogenation of PAN first
creates the cyclized structure (c-PAN) and then produces uncoordinated
carbons on the c-PAN backbone.[61] Moreover,
Archer et al.[62] observed oscillations in
the number of C–S bonds during cycling, which was interpreted
as a rupture process between the polymer and the sulfurchain during
lithiation.In this work, we have used density functional theory
(DFT) to resolve
the structure of sulfur–polyacrylonitrile[58,59] and to investigate the PS shuttle effect in the anode as well as
graphitecathodes.[63−70] We further considered the situation that sulfur binds to an undercoordinated
carbon such as in c-PAN. Here, we used ab initio molecular dynamics
(AIMD) to study the interaction of the host material with a polysulfide-containing
electrolyte. AIMD is commonly applied for investigation on LiSB (using
a time scale of picoseconds), due to its high accuracy, both to describe
electron distribution and to supply energy to overpass the active
barrier in a reaction. In contrast, classical methods and staticcalculations
are not able to provide these outcomes at the same time.[71−74] AIMD can give insights into the behavior of the cathode, and the
structure of adsorbed PSs and help answering the question of whetherc-PAN is capable of capturing PSs from the electrolyte. As c-PAN as
a host material shows a higher cyclability than graphite, one of our
aims was to understand the possibility of chemisorption and incorporation
of the PSs into the c-PAN network, as well as the role and influence
of the electrolyte on this process.
Computational Methods
DFT calculations were performed with the Vienna Ab initio Simulation
Package (VASP)[75,76] employing plane-wave basis sets[77,78] with an energy cutoff of 400 eV, while electron–core interactions
were described by projector-augmented wave (PAW) pseudopotentials.[79,80] For integrations in the reciprocal space, the Brillouin zone was
sampled with a Monkhorst–Pack mesh[81] of 2 × 2 × 2 k-points. The electronic
structure was relaxed until the energy was converged up to an energy
change of 10–4 eV. Geometries were optimized using
the conjugate-gradient (CG) approach with a force convergence criterion
of 10–3 eV/Å. Gaussian smearing with a width
of 0.05 eV was utilized. Ab initio molecular dynamics (AIMD) simulations
were carried out in the canonical ensemble (NVT) at 330 K using time
steps of 1 fs, while the Nosé thermostat was used to control
temperature oscillations during the simulation with a Nosé
mass parameter[82−84] of 0.5. Charge analyses were performed on the basis
of Bader charges[85] obtained with a denser
reciprocal grid of 4 × 4 × 4 k-points.
Finally, in all studies, van der Waals (vdW) dispersion corrections
were included by the DFT-D3 approximation in the Becke–Johnson
formulation.[86] To estimate individual bond
strengths, the Crystal Orbital Hamilton Population (COHP) and Crystal
Orbital Overlap Population (COOP) were calculated using the LOBSTER
program.[87,88] VESTA[89] software
was used for visualization of the charge isosurface and visual molecular
dynamics (VMD)[90] was used for visualization
of the molecular structures.To build up the different systems,
the electrolyte molecules were
preoptimized individually using the Gaussian09 (G09) package[91] with the B3PW91 hybrid functional and a 6-311++G(p,d)
basis set,[92,93] allowing a better initialconfiguration
to run in periodic boundary conditions when using VASP. Afterward,
the full system (i.e., c-PAN with electrolyte) was built such that
the individual electrolyte molecules were first kept rigid in their
preoptimized structures, while c-PAN was optimized based on the consistent-valence
forcefield (CVFF).[94] Finally, this provided
the initialconfigurations for the subsequent AIMD simulations. This
procedure allows saving computational resources and eliminating drifts
in both energy and temperature at the beginning of the simulation.As a solvent, we used 1,3-dioxolane (DOL) that contained one molecule
of PS (Li2S6), for which the electrolyte density
was set to be 1.06 g/cm3. The literature indicates that
in the PAN structure, sulfurchains of five and eight atoms (S, 5 ≤ x ≤
8) are stable.[58,59] Therefore, as a compromise for
the present studies, we used polysulfidescontaining six sulfur atoms
in the chain. All systems were studied in 15 Å × 18 Å
× 18.5 Å simulation boxes, where the polymer backbone was
oriented along the z-direction.Figure summarizes
the different initialconfigurations for our AIMD studies that were
used to investigate the interaction between PS, the electrolyte, and
c-PAN. Here we successively increased the complexity of the system.
In the first two cases (Figure A,B), the interaction of the PS (Li2S6) with c-PAN was investigated by first considering the detached case
(Figure A) and afterward
binding the PS to one of the undercoordinated carbon atoms of the
backbone (hereafter, this undercoordinated site is called Cuc; see Figure A).
The Cuc position was selected based on where the hydrogen
in c-PAN is the most thermodynamically favorable to be removed. With
the third and fourth systems, the role of the added saltlithium bis(trifluoromethanesulfonyl)imide
(LiTFSI; Figure C)
and finally the combined system where both PS and LiTFSI are in the
simulation box were considered (see Figure D). The last two cases contain an undercoordinated
carbon site, Cuc.
Figure 1
Initial structure models used to investigate
the interactions between
PS and LiTFSI with a single site of c-PAN. (A) Single Cuc surrounded by a PS-containing electrolyte. (B) Site in c-PAN which
is considered initially occupied by PS. (C) Single Cuc surrounded
by a LiTFSI-containing electrolyte. (D) Single Cuc surrounded
by an electrolyte containing both LiTFSI and PS. Color coding: hydrogen
(white), lithium (purple), carbon (gray), nitrogen (blue), oxygen
(red), fluorine (cyan), and sulfur (yellow). Green arrows point to
a carbon with a missing hydrogen, representing a Cuc.
Initial structure models used to investigate
the interactions between
PS and LiTFSI with a single site of c-PAN. (A) Single Cuc surrounded by a PS-containing electrolyte. (B) Site in c-PAN which
is considered initially occupied by PS. (C) Single Cuc surrounded
by a LiTFSI-containing electrolyte. (D) Single Cuc surrounded
by an electrolyte containing both LiTFSI and PS. Color coding: hydrogen
(white), lithium (purple), carbon (gray), nitrogen (blue), oxygen
(red), fluorine (cyan), and sulfur (yellow). Green arrows point to
a carbon with a missing hydrogen, representing a Cuc.To highlight the different processes or reactions
observed during
the simulations, individual snapshots along the AIMD were selected.
To further analyze the energetics between c-PAN and PS, for each selected
frame an additional subsequent energy minimization was performed in
such a way that the c-PAN and PS structures were kept fixed, while
only the electrolyte molecules were geometrically optimized (see Figures and 3, as well as Figures S1 and S2).
This procedure provided direct insights into the energetics during
the reaction processes between PS and c-PAN but reduced temperature-induced
fluctuation effects in the solvent.
Figure 2
Screenshots along with the AIMD simulation
showing the capturing
of PS dissolved in the electrolyte by the c-PAN. The color code is
as described in Figure .
Figure 3
Decomposition mechanism of the solvent in the
presence of a Cuc of c-PAN. The color code is as described
in Figure .
Screenshots along with the AIMD simulation
showing the capturing
of PS dissolved in the electrolyte by the c-PAN. The color code is
as described in Figure .Decomposition mechanism of the solvent in the
presence of a Cuc of c-PAN. The color code is as described
in Figure .
Results and Discussion
To study
the interaction of PS and c-PAN, our simulation model
systems were constructed such that a single hydrogen termination on
the carbon backbone of the c-PAN host material was removed (see Figure ). This is motivated
by the experimental observations that vulcanization of PAN leads to
the formation of conjugated π-units, the production of H2S, the formation of C–S bonds, and the creation of
uncoordinated carbon atoms at the c-PAN backbone.[57−59,61,95] Moreover, since some
salts can remove hydrogens from the solvent surrounding the cathode,[47−50] there is also the possibility that those salts remove hydrogens
from the SPAN backbone during cycling, producing an undercoordinated
carbon on c-PAN. During cycling, lithium will react with the sulfur
present in the SPAN and form a PS soluble in the electrolyte; thus,
PS might also be present in the electrolyte. Therefore, we also investigated
the interaction between c-PAN and an electrolyte molecule. Overall,
the following different situations were considered: (1) an initially
ringlike PS interacts with a Cuc (i.e., missing H-saturation)
site of c-PAN; (2) this particular site of c-PAN remains unoccupied,
i.e., there is a missing H atom in the backbone (Cuc) and
the electrolyte contains only DOL and LiTFSI; (3) the Cuc site is in contact with the electrolyte that contains only DOL and
a PS molecule being close to (5.5 Å) this Cuc (thus
has a strong tendency to interact); and finally, (4) the electrolyte
contains the solvent, PS, LiTFSI, and a Cuc on the c-PANpolymer. Additionally, we also positioned the LiTFSIcloser to the
Cuc site (see Figure S3) to
investigate possible reactions between the polymer backbone and the
salt and at the same time reducing the possibility of Cuc to react with the solvent.In the model shown in Figure B, the PS has initially
a ringlike structure connected
to the c-PAN. During the simulation, the c-PAN receives a Li atom
that was previously solvated by the PS. As observed in Figure S1, the Li atom migrates through the c-PAN,
increasing its distance to the PS (from 2.8 to 5.4 Å). In the
direct vicinity of the Li atom removed from the PS, there are N atoms
from the c-PAN as well as O atoms from different solvent molecules
that form the remaining solvation shell. Consequently, this Li has
four nearest-neighbor atoms originating from different solvent molecules
and c-PAN. Once Li is removed from the PS, the PS molecule elongates,
i.e., the distance between S in the edge of the PS and the S atoms
that form the connection to the polymerchanges from 3.8 to 5.7 Å
(comparing initial and final structures). Also, the other Li atom
remaining at the PS moves to the edge of the PSchain (not connected
to the polymer), and the first solvation shell of this Li atom is
surrounded by one S atom and O atoms from the surrounding solvent
molecules. This indicates the capacity of the polymer to interact
with Li not only as a host material for sulfur but also by consuming
Li, consequently acting as an active material during battery cycling.
This behavior was also suggested by Wang et al.[96] who argued on the absorption of Li ions by the polymer
backbone.When the PS is initially dissolved into the electrolyte,
the Cuc site of c-PAN is able to catch the PS molecule
from the
electrolyte (see Figure ). During the first step of this capturing process, the PS remains
intact with its ringlike structure, while the distance between the
PS and the Cuc reduces from 5.8 to 3.4 Å. At a certain
distance, the S atom closest to the Cuc has one of its
S–S bonds broken; in this case, we observe a fragmentation
that creates two polysulfides with three S atoms on each chain. While
one of the PSchains is attached to the polymer, the other is kept
by the Li atom shared between the two chains. With time, one of the
Li atoms moves to the N atoms of the polymer, interacting electrostatically
with one PS fragment. The other Li stays between both PS fragments,
of which one is connected to the Cuc, while the other dissolves
into the electrolyte. Subsequently, the bound PS detaches, resulting
in Li being solely solvated by N atoms of the c-PAN and oxygen atoms
from solvent molecules. This allows the attached PS fragment to reconnect
to the other PSchain, forming a ringlike structure attached to the
system. Finally, the PS elongates, assuming the same structure as
in the system with the initially attached PS (Figure B). The total energy change during the capturing
process by a Cuc site is around −4.4 eV, which can
be divided into different steps. The capturing and fragmentation of
the PS into the Cuc is around −1.2 eV, producing
two S3 fragments. The removal of Li ions from the PS to
c-PAN is around −1.6 eV, the fragments recombination is around
−1.1 eV, and the PS reconfiguration is around −0.5 eV.
Several intermediary steps are shown in Figure . Cuccan capture PS from the
electrolyte, but the process may also create smaller PS fragments,
whose sulfurchains recombine to produce longer chains. The simulations
indicate that Cuc tends to capture the closest S atom from
the PS, which results in fragmentation and recombination of the PS.
Rotation of the PS was not observed setting the PS at 5.8 Å,
but the PS should also be captured by the chain edge without producing
fragmentation and recombination.When both LiTFSI and PS are
present in the electrolyte and not
connected to the polymer, the PS is also attracted by the Cuc site, leading now to a fragmentation that produces S2 as well as S4 (Figure S2).
Without the presence of c-PAN, the fragmentation of the PS is not
thermodynamically favorable[63] but becomes
favorable in the presence of c-PANcontaining a Cuc. The
energy change caused by the interaction between the PS and the Cuc site as well as the following fragmentation process is around
−2.8 eV and therefore more favorable than the previous case,
in which the PS fragments break into two S3 units (−1.2
eV vs −2.8 eV). This behavior is different from another model
where no LiTFSI was present in the system and where the S6 chain was chemically bound to the polymer. In other words, the capturing
mechanism can occur in different ways. In the presence of LiTFSI,
the salt removes Li from the PS, leading to two solvated Li atoms
in the salt. In the abovementioned cases, Li that initially originated
from the PS is completely removed by the polymer. However, in the
presence of LiTFSI, the Li atom that is solvated by the polymer and
by PS is not completely removed from the PS during the simulation
time. In the simulations where the salt is not present in the electrolyte,
Li absorbs into the polymer backbone and, after a certain period of
time, this Li does not coordinate with the PS anymore. Additionally,
the final fragments are maintained separated from each other, indicating
that the saltcan affect the interactions between PS and the polymer.
In fact, this indicates that the salt deaccelerates the sulfurchain
recombination and the Li capturing by the backbone.When the
electrolyte is composed of DOL and LiTFSI, but LiTFSI
is still too far (7.9 Å) from the polymer to interact with the
Cuc site, the solvent molecules react with the undercoordinated
carbonCuc (see Figure ). In the first step, an O atom from a DOL molecule
binds to the Cuc at the backbone (∼0.8 eV); the
overcoordination of O atoms from DOL leads to C–O bond cleavage
that finally produces OCH2CH2OCH2 with O being connected to the C atom from the Cuc of
the polymer. The total energy change in the decomposition mechanism
of DOL is around 2.3 eV. The simulations suggest that PS will be captured
in preference to the solvent decomposition (−4.4 eV vs −2.3
eV). This is an indication that if a Cuc is formed at the
polymer, the Cuc will promote solvent decomposition. This
might lead to further reactions that require additional analyses and
simulations. Regarding the LiTFSI salt, the simulation indicates that
it does not tend to react with the Cuc of the polymer,
since in our simulations even when the salt is placed close (3.1 Å)
to the Cuc (see Figure S3),
the salt molecule moves away from the polymer backbone, assuming a
configuration similar to the one shown in Figure B. The solvent indicates to play an important
role by removing the available Cuc, mainly during the first
cycles before the dissolution of PSs. Therefore, changing the solvent
has the potential to improve cyclability. However, it cannot be considered
conclusive that DOL will always react with Cuc because
c-PANcan capture Li ions from the PS and change its charge. The decomposition
mechanism of DOL in a charged c-PAN should be further investigated
to elucidate this mechanism.To illuminate the interactions
and processes of capturing a PS
by the c-PAN, we investigated changes in the charge density distribution
around the Cuc site of c-PAN and after capturing the PS
(see Figure ). In
the c-PAN backbone, H atoms are surrounded by a negative charge (accumulation
of electrons); however, H itself tends to have a slightly positive
average totalcharge of ∼0.10e. The N atoms
have an average charge of −1.20e, while carbon
atoms bound to N atoms tend to have a charge of 1.05e. The negative charge also concentrates on the lone-pair orbital
of the N atoms and between C–N bonds, while the positive charge
(electron depletion) accumulates on the lone-pair region of C atoms.
Moreover, Li prefers staying between two nitrogen lone pairs. The
charge of the C atom that forms the Cuc site changes slightly
from 0.55 to 0.65e after binding the PS. During the
first 15 ps of the simulation, the totalcharge of the c-PANchanges
from being neutral to −0.92e, while the PSchanges from −1.61 to −0.71e. Consequently,
our simulations indicated that the PS transfers electrons to the c-PAN
when bound to an undercoordinated carbon (i.e., Cuc) and
that the polymer might also act as an active material in a battery
by accumulating Li ions. Moreover, in the PS, the charge decays from
the beginning of the chain, where the S atom is attached to the polymer,
toward the S atom that holds the Li ion, finally becoming more negative
on the edge of the chain. The isosurface charges indicate that the
PS and Li ions were captured by the lone pair of Cuc and
N atoms, respectively.
Figure 4
Charge difference isosurface of the interaction between
c-PAN and
PS. The isosurface has a cutoff of 0.3e, where red is an accumulation
of electrons (negative charge) and green is a depletion of electrons
(positive charge). The blue color represents a cleavage in the isosurface
produced by the visual plan cleavage. The purple arrow indicates the
position of the Cuc. For simplicity of the model and image,
a slide of the cell is visualized with the atoms and isosurface, while
the other regions of the cell are hidden. Color coding: C is brown,
N is cyan, H is white, O is red, and S is yellow.
Charge difference isosurface of the interaction between
c-PAN and
PS. The isosurface has a cutoff of 0.3e, where red is an accumulation
of electrons (negative charge) and green is a depletion of electrons
(positive charge). The blue color represents a cleavage in the isosurface
produced by the visual plan cleavage. The purple arrow indicates the
position of the Cuc. For simplicity of the model and image,
a slide of the cell is visualized with the atoms and isosurface, while
the other regions of the cell are hidden. Color coding: C is brown,
N is cyan, H is white, O is red, and S is yellow.When the electrolyte decomposes prior to binding to the Cuc site, there is a more pronounced change in the charge at the undercoordinated
carbon as well as the carbon of the DOL (−CH2−)
that breaks its bond with O (as shown in Figure ). The Cucchanges its charge
from 0.45 to 1.30e, while the latter carbon atom
from the electrolyte (−CH2−) reduces its
charge from 0.86 to 0.43e. Different from the previous
case, in both structures, the decomposed DOL and the polymer remain
neutral. Thus, although the polymerCuc leads to solvent
decomposition, there is no net charge transfer occurring between the
reactants as observed with the capturing of a PS.
Figure 5
Atom charge distribution
of the system as described in Figure . The color code
is described in Figure ; however, the atoms are displayed in a translucid way overlapping
the charged spheres. The charged sphere is colored accordingly with
the scale in this figure.
Atom charge distribution
of the system as described in Figure . The color code
is described in Figure ; however, the atoms are displayed in a translucid way overlapping
the charged spheres. The charged sphere is colored accordingly with
the scale in this figure.The integral of the COHP for C–H bonds that belong to c-PAN
is shown in Figure . It indicates an increase of the COHP energy after adsorption of
the PS by the Cuc. In general, the more negative the COHP
energies are, the stronger is the bond between the two atoms. Consequently,
once the PS is captured by the Cuc and Li is removed from
the PS to the backbone, the C–H bonds become weaker, changing
from around −7.07 eV to around −6.88 eV. The weakest
bonds in the c-PAN tend to be localized close to where the Li ion
was adsorbed on the polymer (CH*1, CH*2, and CH*3 in Figure ). This may be associated with
the excess of electrons in the polymer backbone after absorption of
the PS. The average integral of the COHP for C–H that belongs
to the DOL has an average value of −6.94 eV, which tends to
be lower than the C–H bonds from c-PAN after having captured
the PS (∼6.88 eV). In other words, DOL tends to be more stable
and c-PAN less stable against the removal of hydrogen after adsorption
of PS. Therefore, in a competition to remove H atoms from the solvent
or the polymer, the absorption of PS and Li in the PAN may affect
the species that should react.
Figure 6
Integral of the Crystal Orbital Hamilton
Population of C–H
bonds that belong to the system represented in Figure A. CH*# is numbered according to the position
of each C–H bond, where # is an integer number.
Integral of the Crystal Orbital Hamilton
Population of C–H
bonds that belong to the system represented in Figure A. CH*# is numbered according to the position
of each C–H bond, where # is an integer number.As for the cathode materials, where H atoms from the solvent
can
be removed by salt species,[47−50] the same may happen to c-PAN during cycling, creating
new Cuc units. Nevertheless, some DOL molecules have lower
COHP energies than the C–H bonds of c-PAN. The smallest COHP
for DOL and c-PAN were 6.43 and 6.67 eV, respectively. This may lead
to the decomposition of the solvent, instead of the creation of new
Cuc sites. Moreover, since the reactions may involve depletion
of electrons, it is necessary to investigate whether the c-PAN becomes
more or less stable during such an electron depletion process.The previously decomposed solvent molecules (e.g. as shown in Figure ) might also trigger
removal of H from c-PAN or supply H for the sulfur atoms in the SPAN.
Further analyses should be done to better understand the behavior
of c-PAN under such conditions. Here, our calculations indicate that
the stability of the C–H bonds in c-PAN should change during
cycling of the LiSB. Assuming that the minimum COHP (C–H) value
is more relevant than the overall average value, other solvents with
stronger C–H bonds could be used instead of DOL to activate
the generation of Cuc during the LiSB cycling instead of
decomposing the solvent (when salts such as LiBr are used in the electrolyte).We also calculated the bond strength of PS as a fragment (observed
after 0.76 ps) and after recombination of the S–S bond (observed
after 15 ps), as shown in Figure . The results summarized in Figure S4 suggest that in the fragmented structure, the bond strength
of both S–Li and S–S bonds is higher compared to that
of the recombined case. The COHP of the sulfur fragment varies from
an average of −6.90 to −5.56 eV, and the COHP of every
S–Li bond changes from −0.77 to −0.27 eV, on
comparing simulation snapshots at 0.76 and 15.0 ps, respectively.
Nevertheless, S–Li bonds are typically weaker than S–S
bonds (∼5.7 eV vs 0.6 eV); the covalent and ionic effect on
COHPcan also be observed in the literature for Na–S, Li–O,
and S–S.[97−99] Therefore, it is expected that fragments might recombine
as a whole, without encountering further cleavage of the sulfurchains,
which agrees with our simulations.
Conclusions
In
the present work, we have studied the capturing process of a
PS by a Cuc in the c-PAN backbone, the reactions between
this Cuc and the solvent, and the effect of the salt in
the PS-capturing process. We considered undercoordinated carbon (Cuc) that was formed by three different processes:during the syntheses, where H is
removed from the backbone
by sulfur, without binding a sulfurchain to Cuc;by removal of sulfur from carbon during
battery cycling;
andby removal of hydrogen from the backbone
due to its
reaction with a nearby salt molecule.Our simulations indicate that c-PAN is capable of catching a PSchain dissolved in the electrolyte and of removing Li from this PS
when Cuc is available at the polymer backbone. In other
words, when a carbon atom at the c-PAN structure is missing its H
termination, this carboncan bind to the sulfur-chain of a PS. During
this capturing process, some S–S bonds might break, forming
temporary fragments attached to the adsorbed PS. Afterward, these
PS might recombine, forming S–S bonds, while the PS will assume
a linear configuration with only one Li-ion being attached to the
edge of the PS, and the other Li ion being adsorbed at N sites of
the polymer. Consequently, c-PAN might also act as an active material
in the battery. The PS takes a similar configuration when the PS is
initially attached to the polymer or when being solvated in the electrolyte.
However, the salt seems to influence the lifetime of the PS fragments,
increasing the time required for fragment recombination and leading
to the formation of longer chains. Moreover, the PS shows a tendency
to weaken the bond between hydrogen and the backbone. The mechanism
in which the Cuccaptures the PSs may change accordingly
with the initialconfiguration of the PS. However, the recombination
of S–S chains suggests that the attached PS will commonly assume
a linear configuration with one Li ion on the edge of the sulfurchain.These Cuc sites are also able to react with the solvent,
breaking a C–O bond (from carbon on −CH2−)
and creating a new branch in the c-PANpolymeric structure. Further
research may investigate if PScan absorb on the decomposed DOL ramification,
bounded by the c-PAN or further reactions can occur in that ramification.
Also, more investigation should be conducted to investigate whethersalt species (such as LiBr) are capable to generate additionalCuc units. The absorption of PS leads to weaker C–H bonds
in the c-PAN, when closer to the attached PS. However, c-PAN has on
average weaker C–H bonds than DOL, while the solvent has the
weakest C–H bonds.We can conclude that c-PAN might also
act as an active material,
not only by allowing lithiation of sulfur but also by capturing Li
ions. The polymer backbone can capture PS from the electrolyte, producing
PS fragments. These PS fragments might recombine to form long-chain
PSs. However, in the presence of the salt, this recombination process
is deaccelerated. Finally, the strength of C–H bonds decreases
with the degree of lithiation of the polymer.
Authors: Lifen Xiao; Yuliang Cao; Jie Xiao; Birgit Schwenzer; Mark H Engelhard; Laxmikant V Saraf; Zimin Nie; Gregory J Exarhos; Jun Liu Journal: Adv Mater Date: 2012-01-26 Impact factor: 30.849
Authors: Kai Han; Jingmei Shen; Shiqiang Hao; Hongqi Ye; Christopher Wolverton; Mayfair C Kung; Harold H Kung Journal: ChemSusChem Date: 2014-07-22 Impact factor: 8.928