K. Wakamura, ROLES OF PHONON AMPLITUDE AND LOW-ENERGY OPTICAL PHONONS ON SUPERIONIC CONDUCTION, Physical review. B, Condensed matter, 56(18), 1997, pp. 11593-11599
From a simple equation of motion for a linear chain, the phonon amplit
udes for mobile and cage ions are represented in terms of their ionic
radius and atomic mass. Estimated values of the amplitude in superioni
c conductors are larger for the mobile ions than the cage ions. Based
on this result, many binary and ternary ionic conductors are classifie
d into superionic or normal-ionic conductors. The role of low-energy o
ptical (LEO) phonon is to enhance the phonon amplitude and assist the
jump of mobile ions. This is ascertained from the relationship between
the frequency of the LEO phonon and the activation energy, which is s
imilar to self diffusion in bcc metals. [S0163-1829(97)05141-2].