The Li2S–P2S5 pseudo-binary
system has been a valuable source of promising superionic conductors,
with α-Li3PS4, β-Li3PS4, HT-Li7PS6, and Li7P3S11 having excellent room-temperature Li-ion conductivity
>0.1 mS/cm. The metastability of these phases at ambient temperature
motivates a study to quantify their thermodynamic accessibility. Through
calculating the electronic, configurational, and vibrational sources
of free energy from first principles, a phase diagram of the crystalline
Li2S–P2S5 space is constructed.
New ground-state orderings are proposed for α-Li3PS4, HT-Li7PS6, LT-Li7PS6, and Li7P3S11. Well-established
phase stability trends from experiments are recovered, such as polymorphic
phase transitions in Li7PS6 and Li3PS4, and the instability of Li7P3S11 at high temperature. At ambient temperature, it is
predicted that all superionic conductors in this space are indeed
metastable but thermodynamically accessible. Vibrational and configurational
sources of entropy are shown to be essential toward describing the
stability of superionic conductors. New details of the Li sublattices
are revealed and are found to be crucial toward accurately predicting
configurational entropy. All superionic conductors contain significant
configurational entropy, which suggests an inherent correlation between
fast Li diffusion and thermodynamic stability arising from the configurational
disorder.