By using the statistical Green function theory and extended two sublattice pseudospin lattice coupled mode model Hamiltonian for proton subsystem with mean field approximation on hydrogen bonds have been used to interpret structural phase transition thermal dependence dielectric properties in PbHPO\(_{4}\) and PbHAsO\(_{4}\) ferroelectric compounds. By using the retarded thermal Green function theory and Hamiltonian along with Dyson approach, the expressions for ferroelectric soft mode frequency, dielectric permittivity and dielectric tangent loss have been derived. With the putting of the model values of different physical parameters in theoretical derived expressions, the thermal dependence of ferroelectric normal mode frequency, relative permittivity and dielectric loss has been calculated for both ferroelectric compounds in two structural phases. With the help of proper fitting of model parameters, valuable theoretical results for corresponding experimental results have been calculated.

通过使用统计格林函数理论和扩展的两个亚晶格伪自旋晶格耦合模式哈密顿量模型，对质子子系统进行氢键平均场近似，来解释PbHPO \（_ {4} \）和PbHAsO \（_ {4} \）铁电化合物。利用延迟热格林函数理论和哈密顿量以及戴森方法，推导了铁电软模频率，介电常数和介电切线损耗的表达式。通过将不同物理参数的模型值放入理论推导表达式中，已计算出两个铁电化合物在两个结构相中铁电正态频率，相对介电常数和介电损耗的热依赖性。在适当拟合模型参数的帮助下，已经为相应的实验结果计算了有价值的理论结果。