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TIn the first chapter, the current ideas about crystalline disordered systemare surveyed and exemplified by the results allowing for the moststraightforward interpretation. Exclusive consideration is intended forbroadband dielectric spectroscopy results. Several critical remarks arepresented about various predefined forms of the distribution of relaxationtimes and it physical meaning.  The second chapter is devoted to the experimental and theoretical methods ofthe broadband dielectric spectroscopy, which have been applied by the author tocollect the original data personally.  The third chapter contains results of investigations of the mixedhydrogen-bond betaine phosphite betaine phosphate phase transitions dynamics.Here distribution of the relaxation times, double well potential parameters,local polarization distributions of the investigated crystals are presented. Inthe fourth chapter the dielectric spectroscopy results of mixedCuInP2(SxSe1-x)6 crystals are presented, phase diagram of these crystals isdiscussed. The fifth chapter contains the dielectric spectra of PMN-PSN-PZNrelaxor ferroelectrics in a very wide frequency range. Formation of the polarnanoregions below the Burns temperature (700-800 K) is manifested by theappearance of the dielectric relaxation in the THz range and by splitting ofpolar modes in the infrared spectra. Dielectric spectra are analyzed in termsof distribution of relaxation times using the Tichonov regularization method.The distributions splits in two components near room temperature and the originof both components are discussed. In the infrared spectra interesting phononanomalies are observed.

Broadband Dielectric Spectroscopy of Mixed Betaine Phosphate Betaine Phosphite, CuInP_2(S_xSe_{1-x})_6 crystals and PMN-PSN-PZN Ceramics