Analysis of lithium-ion coordination data from MD simulations
at 363 K. (a) Representative snapshots of lithium-ion binding motifs
observed in the MD simulations. The lithium cation is shown in silver,
carbon atoms are black, and the oxygen atoms are colored according
to the scheme in Figures 2 and 5b. (b) The average number of oxygen atoms (left y-axis) and polymer chains (right y-axis) in the
first solvation shell of the lithium cation. Vertical bars report
the number of different oxygen types; markers report the number of
coordinating chains in the solvation shell. Note that backbone ether
contributions to the type-a polymers arise due to interactions with
the terminal groups of the polymer chains. (c) Frequency of occurrence
for lithium-ion binding motifs, where the binding motifs are defined according to the number of each oxygen type and the number of coordinating chains.
The first three numbers refer to the number of carbonyl, ester, and
ether oxygen atoms, respectively; the number following the dash refers
to the number of different contiguous polymer chain segments (i.e.,
402-2 indicates a motif with four carbonyl oxygens, zero ester oxygens,
and two ether oxygens from two different chains). Only binding motifs
that constitute more than 5% of the ensemble are explicitly listed;
the remainder are included in “other”. (d) Cation-oxygen
radial distribution functions gLi+,o(r) for different oxygen types in the type-a polymers and
in PEO. The gLi+,o(r)
for each oxygen type is normalized with respect to the total oxygen
number density in the polymer. Following the data set for polymer
1a, each subsequent data set is shifted vertically (by 5 units) and
horizontally (by 1 Å) for clarity. All statistical properties
are calculated from snapshots taken at 100 ps intervals during the
MD trajectory. A threshold distance of 3.25 Å from the lithium
cation is used to identify constituents of the first lithium-ion solvation
shell.