We
perform a joint experimental and computational study of ion
transport properties in a systematic set of linear polyethers synthesized
via acyclic diene metathesis (ADMET) polymerization. We measure ionic
conductivity, σ, and glass transition temperature, T
g, in mixtures of polymer and lithium bis(trifluoromethanesulfonyl)imide
(LiTFSI) salt. While T
g is known to be
an important factor in the ionic conductivity of polymer electrolytes,
recent work indicates that the number and proximity of lithium ion
solvation sites in the polymer also play an important role, but this
effect has yet to be systematically investigated. Here, adding aliphatic
linkers to a poly(ethylene oxide) (PEO) backbone lowers T
g and dilutes the polar groups; both factors influence
ionic conductivity. To isolate these effects, we introduce a two-step
normalization scheme. In the first step, Vogel–Tammann–Fulcher
(VTF) fits are used to calculate a temperature-dependent reduced conductivity,
σr(T), which is defined as the conductivity
of the electrolyte at a fixed value of T – T
g. In the second step, we compute a nondimensional
parameter f
exp, defined as the ratio of
the reduced molar conductivity of the electrolyte of interest to that
of a reference polymer (PEO) at a fixed salt concentration. We find
that f
exp depends only on oxygen mole
fraction, x
0, and is to a good approximation
independent of temperature and salt concentration. Molecular dynamics
simulations are performed on neat polymers to quantify the occurrences
of motifs that are similar to those obtained in the vicinity of isolated
lithium ions. We show that f
exp is a linear
function of the simulation-derived metric of connectivity between
solvation sites. From the relationship between σr and f
exp we derive a universal equation
that can be used to predict the conductivity of ether-based polymer
electrolytes at any salt concentration and temperature.