The microscopic proton ordering model is developed for the description
of the phase transition sequence from superionic phase II to ferroela
stic phases III and IV in the (NH4)(3)H(SeO4)(2) crystal. Symmetry ana
lysis of proton orderings in phases III and IV is performed using stru
ctural data. The equilibrium states of the proton subsystem are studie
d and the corresponding phase diagram determining the necessary condit
ions for the existence of different proton orderings is constructed wi
thin the frame of the mean-field approximation taking into account lon
g-range proton interactions. Investigations of thermodynamic functions
as well as the temperature dependence of proton average occupation nu
mbers are performed numerically. The resulting picture corresponds to
experimental data for the network of hydrogen bonds in these crystal p
hases. The results are compared with the conclusions which follow from
the phenomenological approach based on the Landau expansion.