The (1 −
x)BaTiO
3–
x(Bi
3/4Na
1/4)(Mg
1/4Ti
3/4)O
3 (0.2 ≤
x ≤ 0.9) ceramics were prepared by conventional solid-state reaction route. Their dielectric properties were found to follow
a modified Curie–Weiss law and an empirical Lorenz-type relation in respective temperature regions. Their dielectric relaxation
times fit well with the Vogel–Fulcher relation for
x = 0.2, 0.3, and 0.4. For
x = 0.5, 0.6, 0.7, and 0.8, however, the fitting curves of Vogel–Fulcher relation showed certain deviation from the experimental
data. Based on the theoretical treatment of Landau–Ginsburg–Devonshire theory, an approximate treatment of the
E-field dependence of the permittivity was adopted and found to describe well the field dependence of the permittivity for
x = 0.3 at temperatures equal to and below
T
m (temperature of maximum dielectric permittivity). A combined Langevin-type expression used in the present work appears to
give a good account for the field dependence of the permittivity, assuming polar regions are of a statistical cluster size.
For polar clusters of linear dimension
L ~ 4–8 nm for instance, the fitted values of polarization are in the range of
P ~ 6.2–9.8 μC/cm
2.