  The electride Sr$_3$CrN$_3$ has a one-dimensional channel of electron
density, which is a rare feature that offers great potential for fast ion
conduction. Using density functional theory, we find that Sr$_3$CrN$_3$ is an
excellent hydride conductor within this channel, with a diffusion barrier as
low as 0.30 eV and an estimated diffusion coefficient of $5.37\times 10^{-8}$
cm$^2$/s. This diffusion barrier is lower than those reported for the best
hydride conductors to date. We also show the most-stable amount of hydride in
the host material under standard conditions and the corresponding change in
electronic structure from metal to wide-gap insulator. Our results highlight
the potential offered by 1D electride materials for ion-transport applications
such as energy storage or gas separation.
