(DMF)3NaClO4 is a soft-solid cocrystalline
electrolyte with channels of Na+ ions, which can be reversibly
converted to a less conductive form (DMF)2NaClO4 by the application of pressure or heat, leading to a melt- or press-castable
electrolyte. Molecular dynamics simulations performed on the 3:1 stoichiometry
suggest that Na+ ions conduct via a one-dimensional channel,
which is supported by van-Hove autocorrelation function analysis.
The simulations show that the transference number for Na+ ions is 0.43 at room temperature and exceeds 0.5 at higher temperatures
in the molten mixture. The calculated activation energy for the diffusion
of Na+ ions from MD simulations is 45 kJ mol–1. The minimum-energy path of Na+ ion migration in a 3:1
crystal is assessed using periodic density functional theory calculations,
which provides a barrier of 33 kJ mol–1 for Na+ ion conduction, in reasonable agreement with the experimental
value of 25 kJ mol–1. The motion of Na+ ions during conduction is vacancy-driven because the presence of
a vacancy site enables jump events for Na+ ions. The activation
energy is the penalty for a sodium ion to leave the octahedrally coordinated
DMF ligand field via a transition state where only three molecules
of DMF form a 3-O-Na trigonal planar geometry, with no involvement
of ClO4
– in the coordination sphere of
the transition state. In contrast, the calculated activation energy
barrier for the 2:1 stoichiometry is higher (E
a,DFT = 43 kJ mol–1, E
a,exp = 49 kJ mol–1) due at least in part
to the partial coordination of strongly binding perchlorate anions
with Na+ ions in the transition state.