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The report shows the temperature behavior of the real part of dielectric permittivity in the static (dielectric constant) and low-frequency (LF) domains in bulk samples of 11CB and its BaTiO3-based nanocolloids. The study covers the isotropic liquid (I), nematic (N), smectic A (SmA), and solid crystal (Cr) phases. For each phase, the dominance of pretransitional fluctuations, significantly moderated by nanoparticles, is shown. The authors consider separate focuses on the dielectric constant $$\varepsilon \left( {\varvec{T}} \right)$$ ε T evolution in the static domain, yielding mainly response from permanent dipole moment and its arrangement, and in the low-frequency (LF) domain $$\Delta \varepsilon^{\prime } \left( f \right) = \varepsilon^{\prime } \left( f \right) - \varepsilon$$ Δ ε ′ f = ε ′ f - ε (where $$\varepsilon^{\prime } \left( {\varvec{f}} \right)$$ ε ′ f is for the real part of dielectric permittivity in the LF domain), which is associated solely with ionic-related polarization mechanisms. All of these led to new experimental evidence concerning I–N, N–SmA, and SmA–solid transitions, focusing on the strength and extent of pretransitional effects, critical exponents, and phase transitions discontinuities. The strong evidence for pretransitional effects near the SmA–Cr transition is notable, particularly regarding $$\Delta \varepsilon^{\user2{^{\prime}}} \left( {{\varvec{f}},{\varvec{T}}} \right)$$ Δ ε ′ f , T . Studies are supplemented by the discussion of DC electric conductivity—a parameter also related to the LF domain. Finally, the validity of the relation $$\varepsilon^{\prime } \left( {\varvec{f}} \right) = {\varvec{Af}}^{ - 3/2} + \varepsilon$$ ε ′ f = Af - 3 / 2 + ε (where f stands for frequency, and A is a constant parameter), often used for discussing dielectric spectra in LC compound and its nanocolloids in the LF domain, is examined. Graphical abstract
The report shows the temperature behavior of the real part of dielectric permittivity in the static (dielectric constant) and low-frequency (LF) domains in bulk samples of 11CB and its BaTiO3-based nanocolloids. The study covers the isotropic liquid (I), nematic (N), smectic A (SmA), and solid crystal (Cr) phases. For each phase, the dominance of pretransitional fluctuations, significantly moderated by nanoparticles, is shown. The authors consider separate focuses on the dielectric constant $$\varepsilon \left( {\varvec{T}} \right)$$ ε T evolution in the static domain, yielding mainly response from permanent dipole moment and its arrangement, and in the low-frequency (LF) domain $$\Delta \varepsilon^{\prime } \left( f \right) = \varepsilon^{\prime } \left( f \right) - \varepsilon$$ Δ ε ′ f = ε ′ f - ε (where $$\varepsilon^{\prime } \left( {\varvec{f}} \right)$$ ε ′ f is for the real part of dielectric permittivity in the LF domain), which is associated solely with ionic-related polarization mechanisms. All of these led to new experimental evidence concerning I–N, N–SmA, and SmA–solid transitions, focusing on the strength and extent of pretransitional effects, critical exponents, and phase transitions discontinuities. The strong evidence for pretransitional effects near the SmA–Cr transition is notable, particularly regarding $$\Delta \varepsilon^{\user2{^{\prime}}} \left( {{\varvec{f}},{\varvec{T}}} \right)$$ Δ ε ′ f , T . Studies are supplemented by the discussion of DC electric conductivity—a parameter also related to the LF domain. Finally, the validity of the relation $$\varepsilon^{\prime } \left( {\varvec{f}} \right) = {\varvec{Af}}^{ - 3/2} + \varepsilon$$ ε ′ f = Af - 3 / 2 + ε (where f stands for frequency, and A is a constant parameter), often used for discussing dielectric spectra in LC compound and its nanocolloids in the LF domain, is examined. Graphical abstract
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