The decay of the luminescence from Cr3+ ions in mixed-cation (Na1-xAgx
and Na1-xLix) beta-alumina crystals was measured to study the disorde
r characteristics of the conduction plane. The decay curves of the lum
inescence bands obtained for all samples cannot be represented by usin
g a combination of the exponential functions, but require that of the
extended-exponential function. This result will be related to a disord
ered character of the conduction plane. Moreover, from the analyses of
the decay feature and the electron-phonon interaction, it is suggeste
d that the two kinds of conduction ions in the conduction plane for sa
mples near x = 0.4 of Na1-xAgx beta-alumina, in which the conductivity
is remarkably lower, make a special structure.